What are these in function form

What Are These In Function Form

Answers

Answer 1

QUESTION 4.

The given function is [tex]f(x)=48x^2-32x[/tex].

The highest common factor is [tex]16x[/tex].

We factor to obtain;

[tex]f(x)=16x(3x-2)[/tex]

QUESTION 5

The given function is

[tex]g(x)=20x^2-8x[/tex]

The highest common factor is 4x.

We factor to obtain;

[tex]g(x)=4x(5x-2)[/tex]

QUESTION 6.

The given function is [tex]h(x)=42x^3-35x^2[/tex].

The highest common factor is 7x.

We factor to obtain;

[tex]h(x)=7x^2(6x-5)[/tex]


Related Questions

The dot pot shows the number of miles Zac ran each day

Answers

Answer:

could you specify the question because im not sure what it is??

Solve –5√ x = –15 Please help!

Answers

Answer:

x=9

Step-by-step explanation:

First divide both sides by -5. Once you do this you should have a result of √x=3. from here, square both sides. This will give you an answer of 9

Answer:

x = 9

Step-by-step explanation:

[tex]Domain:\ x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\qquad\text{square both sides}\\\\(\sqrt{x})^2=3^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\x=9[/tex]

What time and day will it be
154hr 36 mins after Thursday 1:26pm?

Answers

Final answer:

The time and day that will be 154 hours and 36 minutes after Thursday 1:26pm is Thursday at 8:02pm.

Explanation:

To determine the day and time that will be 154 hours and 36 minutes after Thursday 1:26pm, we need to perform some calculations:

Add 154 hours to the given time of 1:26pm. This gives us a new time of 7:26pm on the same day.Next, add 36 minutes to the new time of 7:26pm. This gives us a final time of 8:02pm on the same day.Since the question asks for the day as well, the answer would be the same Thursday, with a time of 8:02pm.

Therefore, it will be Thursday at 8:02pm 154 hours and 36 minutes after Thursday 1:26pm.

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please help me this is urgent

Answers

Answer:

99.9

Step-by-step explanation:

The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?

Answers

Answer:

[tex]A = 4500 ft^2[/tex]

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]

The perimeter is:

[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]

Now we find the length of the sides:

[tex]AB = 45\\BC = 205\\CA = 200[/tex]

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]

Then the Area is:

[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]

write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.​

Answers

Answer:

C. [tex]\frac{14}{21} = \frac{18}{27} =\frac{2}{3}[/tex]

Step-by-step explanation:

The given triangles are similar.

If the two triangles are said to be similar, then the corresponding angles are equal and the corresponding sides are in proportion.

From the given figure, we are given two corresponding sides of each triangle.

We know the corresponding sides are proportion.

Let's form the proportion using the corresponding sides.

14 corresponds to 18

21 corresponds to 27

Therefore, [tex]\frac{14}{21} = \frac{18}{27}[/tex]

We can simplify the fraction 14/21 by dividing both the numerator and the denominator by 7.

[tex]\frac{14}{21}  = \frac{2}{3}[/tex]

Also, we can simplify 18/27 by dividing both the numerator and the denominator by 9.

[tex]\frac{18}{27} = \frac{2}{3}[/tex]

Therefore, answer is  C. [tex]\frac{14}{21} = \frac{18}{27} = \frac{2}{3}[/tex]

The correct option is b. 14/18=21/27=7/9 ,The correct option for the ratio of corresponding sides for the similar triangles is 1:3.

The ratio of corresponding sides for the similar triangles can be expressed as follows:

Let's denote the larger triangle's sides as **\(a\) and \(b\)**, and the smaller triangle's sides as **\(c\) and \(d\)**.

Given:

[tex]- Larger triangle: \(a = 18\) and \(b = 27\)\\- Smaller triangle: \(c = 14\) and \(d = 21\)[/tex]

The ratio of corresponding sides is:

[tex]\[\frac{a}{c} = \frac{18}{14} = \frac{9}{7}\]Similarly:\[\frac{b}{d} = \frac{27}{21} = \frac{9}{7}\]Both ratios are equal to \(\frac{9}{7}\).[/tex]

To reduce the ratio to lowest terms, we divide both the numerator and denominator by their greatest common factor (which is 9 in this case):

[tex]\[\frac{9}{7} = \frac{9 \div 9}{7 \div 9} = \frac{1}{\frac{7}{9}} = \frac{1}{\frac{7}{3}} = \frac{1}{\frac{21}{9}} = \frac{1}{3}\][/tex]

Therefore, the reduced ratio of corresponding sides for the similar triangles is **1:3**.

x-13=37 what is the value of x​

Answers

You isolate for x. Meaning that x remains on the left side BY ITSELF all alone, in order to do that, you must bring - 13 to the RIGHT side of the equation. When you bring -13 to the right side you have to change it’s sign, so -13 will become +13.

X=37+13
X=50

X is 50

Answer: x=50

Step-by-step explanation: x-13=37, add 13 to both sides to eliminate "-13" on the side with the variable to get the variable by itself and whatever is behind the equal sign is the value of x

John drew a polygon with 2 line segments that meet to form a right angle.

Answers

Answer:

Step-by-step explanation:

Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines.

About​ ______% of the area is between zequalsminus1 and zequals1 ​(or within 1 standard deviation of the​ mean).

Answers

Final answer:

According to the empirical rule, about 68% of the data in a normal distribution is within one standard deviation of the mean, which corresponds to z-scores between -1 and 1.

Explanation:

The question is about the percentage of data found within certain ranges of standard deviations from the mean in a normal distribution, as represented by z-scores. Specifically, it refers to the proportion of data within one standard deviation (z-scores between -1 and 1). According to the empirical rule (also known as the 68-95-99.7 rule), about 68% of the data in a normal distribution is within one standard deviation of the mean.

So, about 68% of the area is between z=-1 and z=1 (or within 1 standard deviation of the mean). This empirical rule is a quick way to estimate the spread of data in a normal distribution and is useful for various statistical analyses.

if a group of four friends went to the movies in addition to their tickets they bought a large bag of popcorn to share for $6.25 the total was $44.25 ​

Answers

Answer:

Each ticket cost $9.50

Step-by-step explanation:

4x+6.25=44.25

    -6.25.      -6.25

4x=38

x=9.50

The cost of each movie ticket is $9.5.

Given that, a group of four friends went to the movies they bought a large bag of popcorn to share for $6.25 the total was $44.25.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of each movie ticket be x.

Now, 4x+6.25=44.25

⇒ 4x=44.25-6.25

⇒ 4x=38

⇒ x=38/4

⇒ x=$9.5

Hence, the cost of each movie ticket is $9.5.

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"Your question is incomplete, probably the complete question/missing part is:"

A group of 4 friends went to the movies in addition to their tickets, they bought a large bag of popcorn to share for 6.25 the total was $44.25 what is the cost of one movie ticket?

What is the measure of arc WX in the diagram below ?

Answers

Your answer would be 45

The measure of the arc WX is 26 degrees.

What is the secant of the circle?

A secant is a line that intersects a circle in exactly two pints. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one half the positive difference of the measure of the intercepted arcs.

According to the given question.

WSX is a secant angle.

TR and WX are intercepted arcs.

Therefore, by the secant of the circle formula

[tex]\frac{1}{2} (116^{o} -WX) = 45^{o}[/tex]

[tex]\implies 116^{o} -WX = 90^{o}[/tex]

[tex]\implies WX = 116^{o} -90^{o}\\ \implies WX = 26^{o}[/tex]

Hence, the measure of the arc WX is 26 degrees.

Thus, option B is correct.

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HELP PLEASE HURRY!!!!!!!!!
Find the area of each figure to the nearest tenth.


Answers

See the attached pictures for the answers:

help me please! what is the answer of this exercise? ​

Answers

Answer:  h = 15

Step-by-step explanation:

Volume (V) = Length (L) × width (w) × height (h)

1386 = 14 × 9 × (h - 4)

[tex]\dfrac{1386}{14\times 9}=h-4[/tex]

11 = h - 4

11 + 4 = h

15 = h

kurt spots a bird sitting at the top of a 40 foot tall telephone pole. If the angle of elevation from the ground where he is standing to the bird is 59 degrees, how far is Kurt standing from the base of the pole?

Answers

angle of elevation, aoe = 59 deg

height, h = 40ft

distance from pole, dfp

using

tan 59deg = h/dfp

=》 dfp = h/ tan 59deg = 40/1.67 = 23.95ft

Answer:

24.04 ft

Step-by-step explanation:

Kurt spots  a bird sitting at the top of a 40 foot tall telephone pole

Consider the right triangle formed by the line joining the base of telephone pole and Kurt's leg,  the pole itself and line joining Kurt leg and top of pole.

This is right angled and since angle of elevation is given as 59

we have

height of pole/distance of Kurt from base = tan 59

i.e. [tex]\frac{40}{x} =tan 59\\x =40cot 59[/tex]

where d is the required distance of Kurt from the pole.

Hence x = 24.038

=24.04 feet

Write the relationship between time and distance in this example

Answers

Answer:

Step-by-step explanation:

Y= .25x (12)

I think this is an equation for you question if not

Write a house runs a mile in 4 mins 1/4 = .25 miles /mins

You go with the second one i said. hope this gets brainlist

how do i find the percentage???​

Answers

1. Find the 10 % of it first
(Move decimal one place to the left)
Ex. 10 percent of 78 is 7.8, 64 is 6.4, 345 is 34.5, 1.352726 is 0.1352726 etc.

Then multiply the 10% by the 1st didgit of the given percent.

Ex. 80% of 65.4
6.54
X 8= 52.32!

Hope this helped!

what is f(-8) equal to......Please correct​

Answers

Answer:

Your answer is incorrect. Correct answer is f(-8) = -3

Step-by-step explanation:

[tex]f(x)=\dfrac{x+2}{2}\\\\f(-8)\to\text{put x = -8 to the equation of the function}\ f:\\\\f(-8)=\dfrac{-8+2}{2}=\dfrac{-6}{2}=-3[/tex]

Final answer:

The value of f(-8) refers to the result of a function, f(x), when x equals -8. However, without the specific function, we cannot provide an exact value.

Explanation:

To determine the value of f(-8), we need to know the function f(x). In mathematics, f(-8) typically refers to the value of a function, denoted as f(x), at x=-8. For instance, if we have the function f(x) = x^2, then f(-8) would equal to (-8)^2, which is 64. However, without knowing the specific equation for f(x), we cannot provide the exact answer for f(-8).

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An object is launched from the ground straight up with a initial velocity of 120 ft/s. how long will the rock be in the air?

Answers

Answer:

t = 7.5 seconds

Step-by-step explanation:

Givens

vi = 120 f/s

a = -32 f/s

d = 0               It goes up, stops and comes back down landing where it starts.

Formula

d = vi*t + 1/2 a t^2

Solution

0 = 120*t - 1/2*32*t^2     transfer 120t to the left

-120*t = - 1/2 32 t^2        Multiply 32 and 1/2 together  

- 120t = - 16 t^2                Divide both sides by t

-120 =    -16 t                    Divide by -16

-120/-16 = (-16/-16) * t      

t = 7.5 seconds

Answer:

The answer is actually C. 7.5 I just answered this question on a quiz. I'm sorry for the late response and I hope this helps!

What is the value of the expression 3.6x10^8 / 1.2x10^3

Answers

Answer:

3 × 10⁵

Step-by-step explanation:

[tex]\dfrac{3.6\times10^8}{1.2\times10^3}=\dfrac{3.6}{1.2}\times\dfrac{10^8}{10^3}\qquad\text{use}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=3\times10^{8-3}=3\times10^5[/tex]

Final answer:

The value of the expression 3.6x10^8 / 1.2x10^3 equals 3x10^5. In this calculation, the coefficients are divided, and the powers of 10 are subtracted.

Explanation:

The question asks for the value of the expression 3.6x10^8 / 1.2x10^3. This is a division problem involving scientific notation. Here is the step by step solution:

Firstly, divide the coefficients: 3.6 ÷ 1.2 = 3 Then, subtract the powers of 10: 8 - 3 = 5 Thus, combining these results gives us 3x10^5

So, the value of the expression 3.6x10^8 / 1.2x10^3 equals 3x105.

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10.........................

Answers

Hello!

The answer is:

a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]

Why?

To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.

Transforming radical to exponential form:

[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]

Power of a power property:

[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]

So,

[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]

Have a nice day!

Help on number four please?​

Answers

Answer:

49

Step-by-step explanation:

Bisection means that the angle is divided exactly in half.

All you have to do it divide 98/2 to find the angle measure of MVP

That number is 49.

Plz help !!!!!!!!!!!!

Answers

Answer:   √2

Step-by-step explanation:

[tex]\sqrt[4]{4} =\sqrt[4]{2^2} =2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt2[/tex]

1)Find the area of a parallelogram with base b and height h

b=82 cm
h=16.6 cm
a) 1,361.2 cm²

b)6,724 cm²

c)137.78 cm²

d)98.6 cm²

Answers

Answer:

i got A

Step-by-step explanation:

Final answer:

The area of the parallelogram is 1357.2 cm²

Explanation:

This question is based on basic understanding of geometry in general and about basics of parallelogram in particular.

There are two formulas to find area of parallelogram

1. By using the formula of area = ¹/₂ × d1 × d2 × sin Ф where; d1 and d2 are diagonals and sin Ф is the angle between diagonals.

2. By using the formula of area = b × h

Since, base and height are given in the question, second formula will be used

So, to find the area of a parallelogram, we use the formula:

A = base × height

Given:

Base (b) = 82 cmHeight (h) = 16.6 cm

Substituting the values in the formula, we get:

A = 82 cm × 16.6 cm = 1357.2 cm²

Therefore, the area of the parallelogram is 1357.2 cm²

The sum of two numbers is 55 and the difference is 7. What are the numbers?

larger number:
smaller number:


Answers

Answer:

31

24

Step-by-step explanation:

the larger number is 31 and the smaller number is 24 :)

If y=x-6 where changed to y=x+8 how would the graph of the new function compare with the first one ?

Answers

Answer:

The function [tex]y=x+8[/tex] is the function [tex]y=x-6[/tex] shifted 14 units up.

The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)

The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)

Step-by-step explanation:

The equation of the line in slope intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

The first equation is:

[tex]y=x-6[/tex]

The second equation is:

[tex]y=x+8[/tex]

The parent function with the form [tex]y=mx[/tex] can be shifted up or shifted down k units.

When [tex]y=mx+k[/tex] the function is shifted k units up.

When [tex]y=mx-k[/tex] the function is shifted k units down.

Then, the function [tex]y=x+8[/tex] is obtained by adding k=14 to the function [tex]y=x-6[/tex].

Both equation has the same slope, but the y-intercepts are different.

The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)

The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)

The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?

Answers

Answer:

f(x - k) = (x - k)²⇒ k = 5

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

==============================================

Look at the picture.

The graph has been shifted 5 units to the right.

Therefore we have f(x - 5).

8. What’s the answer to this question please

Answers

D) $5

Half of $25 is $5

25/5= 5

horace wants to buy a pound of pecans. if a 1 pound bag costs $8.65 and a 4 ounce bag cost $2.35, how much money would horace save by buying the 1 pound bag instead of multiple 4 ounce bags.

Answers

Answer:

Step-by-step explanation: there is 16 oz in a pound. Horace would buy 4-4 ounce bags at 2.35 per bag which equals $9.40 and since he can pay $8.65 for a pound bag, there would be a $.75 difference

Final answer:

By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.

Explanation:

To find out how much money Horace would save by buying the 1 pound bag instead of multiple 4 ounce bags, we need to compare the unit prices of the two bags. The 1 pound bag costs $8.65, so the cost per ounce is $8.65 divided by 16 (since there are 16 ounces in a pound), which is $0.54 per ounce. The 4 ounce bag costs $2.35, so the cost per ounce is $2.35 divided by 4, which is $0.59 per ounce. By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.

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Which measure of central tendency best describes situation the favorite fruit sold in the cafeteria explain

Answers

Answer:

the mode

Step-by-step explanation:

The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often

Final answer:

The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.

Explanation:

The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.

What are the possible values for p in the equation below? Check all that apply. |p| = 12

Answers

-12 and 12

Absolute value is the distance a number is from zero. Only two numbers are 12 away from zero on a number line, and those are -12 and 12.

Answer:

A and F

Step-by-step explanation:

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