The matrix shows the number of different basketball shots three players made in two minutes. These players want to double these results. Which matrix shows what the players want to do?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Javi [5 1]

Victor [3 2]

Chris [4 2]

A.

[10 1]

[6 2]

[8 2]

B.

[10 2]

[6 4]

[8 4]

C.

[7 3]

[5 4]

[6 4]

D.

[10 1]

[3 2]

[4 2]

Answer 2

Answer:B. [10 2]

[6 4]

[8 4]

Step-by-step explanation:

Javi [5 1]

Victor [3 2]

Chris [4 2]

A.

[10 1]

[6 2]

[8 2]

B.

[10 2]

[6 4]

[8 4]

C.

[7 3]

[5 4]

[6 4]

D.

[10 1]

[3 2]

[4 2]

Explanation:

As a general rule, to double, triple or as the case may be, the result of a matrix, we apply what is known in Maths as scalar multiplication.

Scalar multiplication seeks to multiply the entries in a matrix by a scalar. The resulting matrix is called the scalar product of the original matrix.

For instance:

Let matrix A = [a b] [c d] and k be a scalar.

The matrix kA is called a scalar product of the matrix, A and the constant, k is defined as:

kA = k [a b] [c d]

= [ka kb] [kc kd]

So, for the given question, the best option would be the matrix that depicts a scalar multiple of 2 of the original matrix entry. Option B.

I.e:

Javi = 2[5 1] = [2*5 2*1] = [10 2]

Victor= 2[3 2] = [2*3 2*2] = [6 4]

Chris = 2[4 2] = [2*4 2*2] = [8 4]


Related Questions

There are 4 orange picks for every 3 green picks. If 8 of the picks are orange, how many picks are green?

Answers

Answer: 6 of the picks would be green


Step-by-step explanation:


Poppy's Pizza is buying square boxes to put their pizzas in. The large box has an area of 196 square inches. What is the area of the largest possible pizza that could be placed into the box?

Answers

Answer:

154 square inches

Step-by-step explanation:

Watch the attached figure of the square pizza box and the largest pizza that can fit into it.

Let the each side of the square pizza box be a inches.

Radius of the largest pizza that can fit into it = Half of the side of the pizza box = [tex]\frac{a}{2}[/tex]

So, area of the square box = Side * Side

                                             = a * a

                                             = square inches

It has also been given that the large box has an area of 196 square inches.

So,

Area of the box = a²

=> 196 = a²

Flipping the sides of the equation, we get

=> a² = 196

Taking square root on both the sides,

√a² = √196

a = 14 inches

So,

Side of square box = 14 inches

Radius of the largest pizza that can fit into it = [tex]\frac{a}{2}[/tex]

                                                                          = [tex]\frac{14}{2}[/tex]

                                                                          = 7 inches

Area of the largest possible pizza that could be placed into the box

= π *radius²                                       [since pizza is circular in shape]

= [tex]\frac{22}{7}[/tex] * 7²

= [tex]\frac{22}{7}[/tex] * 7 * 7

Cancelling out a pair of 7's from the top and bottom, we have

= 22 * 7

= 154 square inches

T year a softball raised $1,200 for new equipment. That is 4% less than he raised last year. How much did he raise last year?

Answers

Answer:

$1,250

Step-by-step explanation:

We can write a proportion to find the total amount using the information given. A proportion is two equivalent ratios set equal to each other. If 1200 is 4% less than last year, it's 96% of what he raised last year.

[tex]\frac{96}{100}=\frac{1200}{y}[/tex]

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

96(y)=100(1200)

96y=120000

y=1250



he points (-3,4) and (5,-2) are on the graph of function f. If function g is the inverse of function f, what pair of points are on function g? Type the point with the lower x-value first. ( , ) and ( , )

Answers

Answer:

(4,-3) and (-2,5)

Step-by-step explanation:

The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).

(x,y)--->(y,x) in the new function.

If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).

Answer:

PLATO users, use this order:

(-2,5) and (4,-3)

Step-by-step explanation:

An ice cube is made of 5 fluid ounces of water.About how many milliliters of water does it take to make the ice cube

Answers


[tex]5000 \div 5 = 1000[/tex]

Jorge bought a crate of floor tiles for $95.94. The crate had 6 boxes of floor tiles. Each box contained 20 floor tiles . Write and slove an equation to dertermine the cost per box,b. Then write and slove a second equation to dertermine the cost per tile,t, to the nearest cent.

Answers

Answer:


⇒[tex]6b=95.94[/tex]    (equation to determine cost of one box)


cost of one box 'b' = $`15.99


⇒[tex]120t = 95.94[/tex]    (equation to determine cost of per tile)


cost of one tile t = $0.7995.

Step-by-step explanation:

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94


⇒[tex]6b=95.94[/tex]     (equation to determine cost of one box)


⇒[tex]b=\frac{95.94}{6}[/tex]


⇒[tex]b=15.99[/tex]


Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t


⇒[tex]120t = 95.94[/tex] (equation to determine cost of per tile)


⇒[tex]t=\frac{95.94}{120}[/tex]


⇒[tex]t=0.7995[/tex]


Thus cost of one tile t = $0.7995.

In the diagram below m angleXYZ=138° and m angleWXY=60°.What is m angleXWY?

Answers

Can you please provide the diagram.


A square picture on the front page of a newspaper occupies an area of 24 square inches. Find the length of each side of the square. Leave your answer in simplest radical form

Answers

Answer:

Well if you are trying to find the length of each side you Divide 24 by 4 so your answer would be 6

Step-by-step explanation:


Answer:

2√6 inches

Step-by-step explanation:

Since the picture is a square the lengths of each side are equal and their measure is √24

= √4*√6

= 2√6  in simplest form

Eighty-five mall customers were randomly surveyed across the state to determine if the live entertainment provided had increased the amount of money they spent. Can the probability be found by using the binomial probability formula?

Answers

Answer:

Yes (under certain conditions)

Step-by-step explanation:

Binomial probability formula can be used if there are success and failure been discussed in the question.

The formula is given by

P(X=x) = \binom{n}{x}p^{x}q^{n-x}

where n= no. trials

p  = success

q= failure

x= point at which we need to find the probability

Here, 85 customers are surveyed, then n= 85

we will take, p= live entertainment had increased the amount of money they spent (success)

q = live entertainment had not increased the amount of money they spent (failure)

x should be defined, then only we can use binomial probability formula

Example, x= 10 customers said that the money they spent increased if the live entertainment provided.


Answer:

Yes

Step-by-step explanation:

Binomial distribution is valid for trials which consist of only two outcomes, and each trial is independent of the other.

Here 85 mall customers were randomly surveyed.  We have that each customers is independent of the other for the state o determine if the live entertainment provided had increased the amount of money they spent

Hence probability for each person  to say yes  can be taken as p and q =1-p for no reply.

There are only two outcomes.  

Also n =85 is sufficiently large to have np or nq >5

Hence the probability can be found using binomial probability formula provided p = probability for success of a single trial is given.

Solve 10e^2x - 5 =23^x for x.

Answers

[tex]10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}[/tex]

Answer:

B is the correct option choice !


Rosita invested in a precious mineral. The value of the mineral tends to increase by about 12% per year. She invests $24,000 in 2014.

How much more will her investment be worth in 2025? Enter your answer in the box.

Round to the nearest whole dollar.

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The Rosita investment worth in 2025 is $83486.4 .

Step-by-step explanation:

The expontential increase function is given by.

[tex]y = a(1 + r)^{t}[/tex]

Where a is the initial value , r is the rate of interest in the decimal form and t is the time.

As given

Rosita invested in a precious mineral.

The value of the mineral tends to increase by about 12% per year.

She invests $24,000 in 2014.

As

a = 24000

12% is written in the decimal form.

[tex]= \frac{12}{100}[/tex]

= 0.12

r = 0.12

As Rosita invested from 2014 to 2025.

Than

t = 2025 - 2014

t = 11 years

Put in the expontential increase function.

[tex]y = 24000(1 + 0.12)^{11}[/tex]

[tex]y = 24000(1.12)^{11}[/tex]

y = 24000 × 3.4786 (Approx)

y = $83486.4

Therefore the Rosita investment worth in 2025 is $83486.4 .

Gloria can run 3/4 miles in 8 1/2 minutes. What is her speed in miles per minute ?

Answers

Answer:

11.33333...(keeps repeating)

Step-by-step explanation:

8.5 ÷ 3/4 = 11.33333...(keeps repeating)

Parallelogram ABCD is dilated to form parallelogram WXYZ. What corresponding side is proportional to segment AD? Type the answer in the box below.

Answers

Answer: WZ

The sequence ABCD has AD as the first and last letters of that sequence, so this pattern applies to WXYZ as well to pull out WZ. Angle A pairs up with angle W because they are both the first letters of the sequences. These angles are congruent from the fact that the parallelograms are similar. The same can be said for angle D and angle Z.

note: WZ is the same as ZW. The order doesn't matter when it comes to labeling segments based on endpoints.

800,000,000,000 + 20,000,000,000 + 3,000,000,000 + 50,000,000 + 4,000,000 + 600,000 + 50,000 + 8,000 + 700 + 80 + 6

Answers

Answer:

The answer is 823,054,658,786.

Step-by-step explanation:

Add all of them together.

Answer:


Step-by-step explanation:


Need Help ASAP! Please!

Answers

Answer:

ok first get each corner make a line to the dot with each point

Step-by-step explanation:


∠A=8x−8


∠B=5x+25∘\qquad \greenD{\angle B=5x + 25^\circ}
∠B=5x+25

Answers

Answer:

80 degrees.

Step-by-step explanation:

The real question was:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The angle measurements in the diagram are represented by the following expressions.

(angle)∠A= 8x −8 and (angle)∠B= 5x +25

Solve for x and then find the measure of (angle)∠B.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x= 11 and then since both angles equal the same......we know that angle B equals 80 degrees!

Hope that helps and maybe earns a brainliest! :)

15 Points Please Help

What is the radical form of the expression 4 3/2?

Please don't answer if you don't know the answer.

Answers

Answer:

Radical form of the  expression [tex]4^{\frac{3}{2} }[/tex] is, 8

Step-by-step explanation:

Given the expression: [tex]4^{\frac{3}{2} }[/tex]

Since,  [tex]\sqrt{4^3}[/tex] is same as [tex]4^{\frac{3}{2} }[/tex]

Now, to write an exponent in radical form,

then the  denominator or the index goes in front of the radical and

the numerator goes inside of the radical.

we raise the base to the power of the numerator then:

[tex]4^{\frac{3}{2} }[/tex] = [tex]\sqrt{64}[/tex] = [tex]\sqrt{8 \times 8}[/tex] = [tex]\sqrt{8^2} = 8[/tex]

therefore, the radical form of the given expression is, 8

SUPER EASY PROBLEM!!!!!!!!
10 POINTSSS!!!!

Problem:
Paul has a mix of quarters and dimes in his piggy bank. He has twice as many dimes than he has quarters. He counts all his coins and notices that he has $9.00 in total. How many quarters does Paul have?

Answers

q - number of quarters

2q - number of dimes

2q · $0.10 - Amount in dimes

q · $0.25 - Amount in quarters

$9.00 - Total amount

The equation:

[tex]2q(0.1)+q(0.25)=9\\\\0.2q+0.25q=9\\\\0.45q=9\qquad\text{divide both sides by 0.45}\\\\q=20[/tex]

Answer: Paul have 20 quarters.

Paul has 20 quarters.

To find quarters does Paul have.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers.

Let the q - number of quarters

2q - number of dimes

2q · $0.10 - Amount in dimes

q · $0.25 - Amount in quarters

$9.00 - Total amount

The equation:

2q(0.1)+q(0.25)=9

0.45q=9

q=20

So, Paul has 20 quarters.

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A rectangle has a perimeter 66 cm and length 24 cm what is its width

Answers

Final answer:

The width of the rectangle is calculated using the formula for the perimeter of a rectangle, P = 2l + 2w. Given a perimeter of 66 cm and a length of 24 cm, the width is found to be 9 cm.

Explanation:

The question is asking to find the width of a rectangle given the perimeter and the length. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

To find the width, we can rearrange the formula: w = (P - 2l) / 2.

Substituting the given values into the formula:

w = (66 cm - 2 * 24 cm) / 2

w = (66 cm - 48 cm) / 2

w = 18 cm / 2

w = 9 cm

Therefore, the width of the rectangle is 9 cm.

A function h is defined by h(x)=−4x−72. If x decreases by 11, by how much does h(x) increase?

A function f is defined by f(x)= 3/17 x+2. If x increases by 51, by how much does f(x) increase?

Answers

QUESTION 1

The given function is


[tex]h(x)=-4x-72[/tex]

If [tex]x[/tex] decreases by [tex]11[/tex], then the new value is [tex]x-11[/tex].


We need to find the value the function at [tex]x-11[/tex] which is


[tex]h(x-11)=-4(x-11)-72[/tex]


This simplifies to


[tex]h(x-11)=-4x+44-72[/tex]


The increment in [tex]h(x)[/tex] is given by;


[tex]h(x-11)-h(x)=-4x+44-72-(-4x-72)[/tex]


This simplifies to,

[tex]h(x-11)-h(x)=-4x+44-72+4x+72[/tex]


This further simplifies to


[tex]h(x-11)-h(x)=44[/tex]


Therefore the corresponding increment in [tex]h(x)[/tex] is [tex]44[/tex].


QUESTION 2

The given function is

[tex]f(x)=\frac{3}{17}x+2[/tex].


If [tex]x[/tex] increases by [tex]51[/tex], then the new value of [tex]x[/tex] is [tex]x+51[/tex].


The increment in [tex]f(x)[/tex] is given by

[tex]h(x+51)-h(x)=\frac{3}{17}(x+51)+2-(\frac{3}{17}x+2)[/tex]


We expand the brackets to get,


[tex]h(x+51)-h(x)=\frac{3}{17}x+9+2-\frac{3}{17}x-2[/tex]


We simplify further to obtain,


[tex]h(x+51)-h(x)=9[/tex]


Therefore the corresponding increment in [tex]f(x)[/tex] is [tex]9[/tex].





When x decreases by 11, function h(x) increases by -100. When x increases by 51, f(x) increases by 9.

To find how much Function h(x) increases when x decreases by 11, we can calculate h(x) for the original value of x and the new value of x and then find the difference.

Original h(x) for h(x) = -4x - 72:

h(x) = -4x - 72

For x decreased by 11, the new x is x - 11:

New h(x) for h(x) = -4x - 72:

h(x - 11) = -4(x - 11) - 72

Now, we calculate the difference in h(x) values:

Δh = h(x - 11) - h(x)

Δh = [-4(x - 11) - 72] - (-4x - 72)

Now, simplify:

Δh = -4x + 44 - 72 + 4x - 72

The -4x and +4x cancel out:

Δh = 44 - 72 - 72

Now, calculate the difference:

Δh = -100

So, when x decreases by 11, h(x) increases by -100.

For the second part, to find how much f(x) increases when x increases by 51, we can use a similar approach.

Original f(x) for f(x) = (3/17)x + 2:

f(x) = (3/17)x + 2

For x increased by 51, the new x is x + 51:

New f(x) for f(x) = (3/17)x + 2:

f(x + 51) = (3/17)(x + 51) + 2

Now, calculate the difference in f(x) values:

Δf = f(x + 51) - f(x)

Δf = [(3/17)(x + 51) + 2] - [(3/17)x + 2]

Now, simplify:

Δf = (3/17)x + (3/17)(51) + 2 - (3/17)x - 2

The (3/17)x and - (3/17)x cancel out, and 2 - 2 also cancels:

Δf = (3/17)(51)

Now, calculate the difference:

Δf = 3 * 3

Δf = 9

So, when x increases by 51, f(x) increases by 9.

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the density of an object has the equation d= m/v. if an object has a mass of 20 g and a volume of 3.5 cm3, what is it's density?

A.0.175 G/CM3
B.70 G/CM3
C.5.71 G/CM3
D.23.5 G/CM3

Answers

[tex]\mathsf{We\;know\;that : Density = \frac{Mass\;of\;the\;Object}{Volume\;of\;the\;Object}}[/tex]

[tex]\mathsf{Given : Mass\;of\;the\;Object = 20\;Grams}[/tex]

[tex]\mathsf{Given : Volume\;of\;the\;Object = 3.5\;cm^3}[/tex]

[tex]\mathsf{\implies Density = \frac{20}{3.5}(\frac{g}{cm^3})}[/tex]

[tex]\mathsf{\implies Density = 5.71\;(\frac{g}{cm^3})}[/tex]

To find the density of an object, we will use the formula for density which is \( d = \frac{m}{v} \), where:
- \(d\) represents the density of the object,
- \(m\) is the mass of the object, and
- \(v\) is the volume of the object.

Substituting the given values into the formula:
\(m = 20 \, \text{g}\) (mass of the object),
\(v = 3.5 \, \text{cm}^3\) (volume of the object),

we get:
\(d = \frac{20 \, \text{g}}{3.5 \, \text{cm}^3}\).

Dividing 20 grams by 3.5 cubic centimeters, we obtain:
\(d ≈ 5.71 \, \text{g/cm}^3\).

Therefore, the correct answer is:

C.5.71 G/CM3

Emery borrowed money from her brother to buy a new phone, and is paying off a fixed amount each week. After 2 weeks, she will owe $456, and after 5 weeks , she will owe .

Answers

Final answer:

Emery initially borrowed $608. Each week, she paid off $76. After 2 weeks she had $456 left to pay and after 5 weeks she owed $228.

Explanation:

To find out the original amount borrowed, we need to determine how much Emery is paying off each week. If we look at the information given, after 2 weeks Emery still owes $456, and after 5 weeks, she owes $228. That's a difference of $228 over the span of 3 weeks, which means she is paying off $76 each week ($228 / 3 weeks = $76 per week).

Knowing this, we can figure out that she owed $608 before she started making payments (that is, $456 + $76*2 weeks = $608). Therefore, the original amount Emery borrowed from her brother was $608.

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the complete Question is given below

Emery borrowed money from her brother to buy a new phone and is paying off a fixed amount each week. After 2 weeks, she will owe $456, and after 5 weeks, she will owe $228. a. What was the original amount Emery borrowediginal amount borrowed?

Consider the rational expression. Which statement is true? (In picture)

Answers

Answer:

true/ true/ false/ true

Step-by-step explanation:

4x² is a term in both the numerator and denominator → Correct

factorise numerator and denominator

4x² - 4 = 4(x² - 1) ← common factor of 4

x² - 1 ← is a difference of squares and factors as

(x - 1)(x + 1)

4x² - 3x - 1 = (4x + 1)(x - 1) ← in factored form

Hence (x - 1) is a common factor in the numerator and denominator → Correct

4 is only a common factor in the numerator not the denominator

the denominator has three terms → Correct

being 4x² , - 3x and - 1



If it takes 5 bakers 5 minutes to make 5 christmas cookies, how long would it take 100 bakers to make 100 christmas cookies?

Answers

It takes 1 baker 1 minute to make 1 cookie.
100 hundred bakers can make 100 cookies in 1 minute.

A car company offers financing to its customers. For the newest model, customers can pay $2000 down and then $250 a month. Write an equation for this situation. What does the independent variable represent? What does the dependent variable represent?

Answers

Answer: C: y = 250x + 2000; the independent variable, x, represents the number of months after buying the car and the dependent variable, y, represents the amount of money paid on the car.



Step-by-step explanation:


The equation representing the total cost of the car over time is C(t) = 2000 + 250t, where 't' (the number of months) is the independent variable and 'C(t)' (the total cost) is the dependent variable.

To write an equation for the financing offer of a car company where customers pay a $2000 down payment and then $250 a month, we use a linear equation to represent the total cost of the car (C) over time (t):

C(t) = 2000 + 250t

Here, the independent variable 't' represents the number of months, and the dependent variable 'C(t)' represents the total cost of the car at a particular time. The independent variable is the one we have control over or choose values for, and the dependent variable is the one that changes in response to the independent variable.

ou are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit as the function P(x) = x4 − 3x3 − 8x2 + 12x + 16. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).

Answers

Answer:  We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

[tex]P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16[/tex]

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

[tex]f(x)\rightarrow -\infty[/tex] as [tex]x\rightarrow -\infty[/tex]

And, [tex]f(x)\rightarrow +\infty[/tex]  as  [tex]x\rightarrow +\infty[/tex]

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write,  [tex]x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)[/tex]

[tex]x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)[/tex]

[tex]x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)[/tex]

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

Also, the y-intercept of the polynomial is ( 0,16)

Thus, we can plot the graph with help of the above information.




check my answer?

What is the recursive rule for this geometric sequence?
−64,−16,−4,−1,...
Enter your answers in the boxes.


a n =
a 1 =

i think it is
an = a n + 1 * an-1
and
a1=-64
am i right?

Answers

A recursive rule for a geometric sequence

[tex]a_1\\\\a_n=r\cdot a_{n-1}[/tex]

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[tex]a_1=-64;\ a_2=-16;\ a_3=-4;\ a_4=-1;\ ...\\\\r=\dfrac{a_{n+1}}{a_n}\to r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}\\\\r=\dfrac{-16}{-64}=\dfrac{1}{4}\\\\\boxed{a_1=-64;\qquad a_n=\dfrac{1}{4}\cdot a_{n-1}}[/tex]

Three friends buy one pack of 80 stickers. They divide the stickers equally and give the remainder to their teacher. How many stickers will each friend get?

Answers

Eack friend gets 26 stickers that means the teacher gets 2 stickers
Final answer:

When the pack of 80 stickers is divided evenly among the three friends, each friend receives 26 stickers, with the remaining 2 stickers going to their teacher.

Explanation:

In order to find out how many stickers each friend will get from a pack of 80, we can divide the total number of stickers by the number of friends. In this case, that's 80 stickers ÷ 3 friends. This division gives us a result of 26 stickers with a remainder of 2.

However, the question states that the remainder is given to their teacher. So while the remainder division resulted in each friend getting 26 stickers with an extra 2 left over, those extra 2 stickers are given to the teacher. Therefore, each friend ends up with 26 stickers.

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Which graph represents the function f(x)=-(1/3)^-x

Answers

[tex]f(x)=-\left(\dfrac{1}{3}\right)^{-x}=-\Bigg[\left(\dfrac{1}{3}\right)^{-1}\Bigg]^x=-(3)^x\\\\f(x)<0\ \text{for any real values of x}\ (III\ and\ IV\ quadrant)\\\\a^x\ \text{is increased for}\ a>1.\ \text{Therefore}\ 3^x\ \text{is increased}.\\\\\text{We have}\ -3^x,\ \text{therefore the graph is decreased}.[/tex]

Only bottom left graph satisfy the conditions of the end behaviour and y-intercept. The bottom left option is correct.

Given:

The given function is:

[tex]f(x)=-\left(\dfrac{1}{3}\right)^{-x}[/tex]

To find:

The graph of the given function.

Explanation:

The given function can be rewritten as:

[tex]f(x)=-\dfrac{1}{3^{-x}}[/tex]

[tex]f(x)=-3^{x}[/tex]

For [tex]x=0[/tex], we get

[tex]f(0)=-3^{0}[/tex]

[tex]f(0)=-1[/tex]

So, the y-intercept of the graph is [tex]-1[/tex].

End behaviour of the graph:

[tex]f(x)\to 0[/tex] as [tex]x\to -\infty[/tex]

[tex]f(x)\to -\infty[/tex] as [tex]x\to \infty[/tex]

Only bottom left graph satisfy the above conditions.

Therefore, the bottom left option is correct.

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help me with this math please

Answers

Answer:

There would be no solution im pretty sure but not 100%


Step-by-step explanation:


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