The sum of a and b is equal to 24. Let b = 11. Which equation can be used to find the value of a?

Answer: B) rate of change of f(x) > rate of change of g(x)

Step-by-step explanation:

f(x) = 2ˣ

f(2) = 2² = 4 --> (2, 4)

f(3) = 2³ = 8 --> (3, 8)

rate of change (aka slope) of f(x):

[tex]\dfrac{8-4}{3-2}=\dfrac{4}{1}=\large\boxed{4}[/tex]

g(x) = 2x (graph)

g(2) = 4

g(3) = 6

rate of change (aka slope) of g(x):

[tex]\dfrac{6-4}{3-2}=\dfrac{2}{1}=\large\boxed{2}[/tex]

Answer:

Hello! Your answer is 71.

Step-by-step explanation:

(48+59+62+71) =240

240 ÷ 4 = 60.

The 4 is the four different points he got.

The 60 is the average percent.

HOPE THIS HELPS!

48+59+62+x / 4=60

169+x / 4=60

169+x=60×4

169+x=240

x=240-169

x=71

This is the answer

hope you understand

Answer:

Add 225/4 to x^2 + 15x.

Step-by-step explanation:

Take the coefficient of the middle term, 15.

Now divide it by 2, 15/2.

Square that, 225/4.

Add 225/4 to x^2 + 15x.

To create a perfect square, add 225/4 in the quadratic function x²+ 15x.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic function:

= x²+ 15x

To create a perfect square, add and subtract by 225/4

= x²+ 15x + 225/4 - 225/4

= x²+ 15x + 15²/2² - 225/4

= (x + 15/2)² - 225/4

Thus, to create a perfect square, add 225/4 in the quadratic function x²+ 15x.

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ2

Answer:

A) 2.5

B) 50% of the values.

Step-by-step explanation:

A)

    The range of data starts at 2.0 and ends at 4.5 (i know it's a bit hard to tell lol), by subtracting 2.0 from 4.5 you get the interquartile range, 2.5.

B)

    25% of the values are mentioned in the box plot before the median, and 25% of the values are mentioned after the median in the box plot. This together gives you a sum of 50% of the values. Another way to do it is that outside of the interquartile range is 50% of the values.

Answer:

Step-by-step explanation:

Multiplying both sides of this equation by 3/1 will isolate b:

(3/1)(1/3)b = (3/1)(5/4) = 15/4 or 3  3/4.

Answer:

15/4

Step-by-step explanation:

Ok so the equation we have is:

[tex]\frac{1}{3} b = \frac{5}{4}[/tex]

Now we can multiply both sides by 3

[tex]1b = 15/4[/tex]

[tex]\frac{15}{4}[/tex]

Answer:

Isosceles trapezoid.

Step-by-step explanation:

That would be an isosceles trapezoid. The 2 non-parallel sides are equal.

Answer:

isosceles trapezoid

rectangle

Answer: second one P(10,3)?

Step-by-step explanation:

Answer:

The Answer is C(10,7) Just did it on my homework

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given the recursive formula

[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] + 2 and a₄ = 20

Then working in reverse

3a₃ + 2 = 20 ( subtract 2 from both sides )

3a₃ = 18 ( divide both sides by 3 )

a₃ = 6

3a₂ + 2 = 6 ( subtract 2 from both sides )

3a₂ = 4 ( divide both sides by 3 )

a₂ = [tex]\frac{4}{3}[/tex]

3a₁ + 2 = [tex]\frac{4}{3}[/tex] ( subtract 2 from both sides )

3a₁ = - [tex]\frac{2}{3}[/tex] ( divide both sides by 3 )

a₁ = - [tex]\frac{2}{9}[/tex]

Hence

a₁ = - [tex]\frac{2}{9}[/tex]

a₂ = [tex]\frac{4}{3}[/tex]

a₃ = 6

a1 = (-2/9)

a2 = 4/3

a3 = 6

Hope this helps!

For a prime number m, the only factors of m x m would be 1, m, and [tex]m^2[/tex]

If m is a prime number, the factors of m would be 1 and m itself since prime numbers have no divisors other than 1 and themselves. When you calculate m x m which is [tex]m^2[/tex], the factors list expands slightly but remains quite simple due to the nature of prime numbers.

Those would be all the factors of [tex]m^2[/tex] when m is a prime number.

Answer:

Step-by-step explanation:

[tex]f(x)=3\sqrt{x+3}-6\\\\\text{Domain:}\ x+3\geq0\to x\geq-3\\\\\text{The zero}\to f(x)=0\\\\3\sqrt{x+3}-6=0\qquad\text{add 6 to both sides}\\\\3\sqrt{x+3}=6\qquad\text{divide both sides by 3}\\\\\sqrt{x+3}=2\iff x+3=2^2\\\\x+3=4\qquad\text{subtract 3 from both sides}\\\\x=1[/tex]

Answer:

x=1

Step-by-step explanation:

Given function,

[tex]f(x)=3\sqrt{x+3}-6[/tex]

Since, the zeroes of a function are those input values for which the function gives the output zero,

So, for the zeroes of f(x),

f(x) = 0

[tex]\implies 3\sqrt{x+3}-6=0[/tex]

[tex]3\sqrt{x+3}=6[/tex]      ( Adding 6 on both sides )

[tex]\sqrt{x+3}=2[/tex]        ( Dividing both sides by 3 )

[tex]x+3=4[/tex]                ( Taking square of both sides )

[tex]x = 1[/tex]                   ( Subtracting 3 from both sides )

Hence, the zero of the given function is, x = 1.

First option is correct.

I got B for the answers

Answer:

( 3 × 2 ) × 7

Step-by-step explanation:

To find the volume of a rectangular prism you have to do

Length × Width × Height

3 × 2 × 7 = 42 yd³

If [tex]x[/tex] is the amount (gal) of the 20% solution to be used, then the mixture would have a total volume of [tex]x+4[/tex] gal. We want to end up with a 25% salt solution, so that

[tex]0.2x+0.4\cdot4=0.25(x+4)[/tex]

[tex]\implies0.2x+1.6=0.25x+1[/tex]

[tex]\implies0.6=0.05x[/tex]

[tex]\implies x=12[/tex]

Answer:

3 gallons = 12 quarts

$98.52/12 quarts = $8.21/quart

To find the price per quart of a 3-gallon bucket of paint costing $98.52, divide the total cost by the number of quarts in 3 gallons, which is 12. The price per quart comes out to be approximately $8.21.

To find the price per quart for a bucket of paint that costs $98.52 per 3 gallons, we first need to know the number of quarts in 3 gallons. Since 1 gallon equals 4 quarts, 3 gallons will be equal to 3 × 4 quarts, which is 12 quarts.

Therefore, if a 3-gallon bucket costs $98.52, to find the cost per quart, we need to divide the total cost by the total number of quarts.

So, the equation to find the price per quart would be:

Price per quart = Total cost / Number of quarts

Substituting the given values:

Price per quart = $98.52 / 12

Calculating the above, we find:

Price per quart = $8.21 (rounded to two decimal places)

Thus, the price per quart of the paint is approximately $8.21.

Answer:

4260 square inches

Step-by-step explanation:

35.5 times 20 times 6 is 4260

Answer:

y = mx+b

Step-by-step explanation:

Answer:

y = mx +b

Step-by-step explanation:

m=slope

b=y-intercept

Answer: IM pretty sure its A

Step-by-step explanation: Thanks for being Brain member help.

ANSWER

The amplitude is 1.6

EXPLANATION

The amplitude is half of the highest value minus the least values.

The highest value on the graph also occurs at 0, which is 5.20

The least value is 2

The amplitude is

[tex] = \frac{5.20-2}{2} = 1.6[/tex]

Therefore the amplitude is 1.6

Answer:

a) third; from left most graph

b) fourth; right most graph

Step-by-step explanation:

Part a)

The graph is between the speed and time.

Nicole begin jogging faster and faster i.e. speed is increasing w.r.t time thus we have linear line in beginning.

Then she hits a comfortable speed and stayed at it i.e. speed remained constant for that time. Thus we have a straight line.

After that she gradually slows down,i.e speed is decreasing w.r.t time. Thus we have decreasing linear line.

So the graph shape is linear line with increasing slope-a constant straight line-linear line with decreasing slope

which is the third; from left most graph in option

Part b)

The graph is between Distance to campus and time.

As Dale is hiking towards campus, distance should decrease w.r.t time.

In beginning, he is hiking at constant speed towards campus thus the distance towards the campus is decreasing w.r.t time. We get a decreasing linear line.

*Note: here constant speed is not important, instead hiking towards i.e. the direction is important because of the campus distance covered

Then he sees a snake and turn and runs the other way. Thus now the distance towards the campus is increasing. And we get increasing linear line.

*Note running other way is important because of the campus distance covered

After that, he sits for a while i.e he stops and so the distance towards campus also become constant w.r.t time. we get a straight line on the graph.

So the graph shape is linear line with decreasing slope-linear line with increasing slope-a constant straight line

which is the right-most graph in option !

Answer: x=-16/11

6+11x+10=0

We add all the numbers together, and all the variables

11x+16=0

We move all terms containing x to the left, all other terms to the right

11x=-16

x=-16/11

Answer:

Vertex:

Roots: [tex]x=\frac{5}{3}[/tex] or [tex]x=2[/tex]

Step-by-step explanation:

The given quadratic equation is:

Let [tex]f(x)=3x^2-11x+10[/tex]

We obtain the vertex form by completing the square;

[tex]f(x)=3(x^2-\frac{11}{3}x)+10[/tex]

Add and subtract the square of half the coefficient of x.

[tex]f(x)=3(x^2-\frac{11}{3}x+(-\frac{11}{6})^2+10-3(-\frac{11}{6})^2)[/tex]

This simplifies to

[tex]f(x)=3(x-\frac{11}{6})^2-\frac{1}{12}[/tex]

Hence the vertex is [tex](\frac{11}{6},-\frac{1}{12})[/tex]

We now solve to obtain:

[tex]3(x-\frac{11}{6})^2-\frac{1}{12}=0[/tex]

[tex]3(x-\frac{11}{6})^2=\frac{1}{12})[/tex]

[tex](x-\frac{11}{6})^2=\frac{1}{36})[/tex]

[tex](x-\frac{11}{6})=\pm \sqrt{\frac{1}{36}}[/tex]

[tex]x=\frac{11}{6}\pm \frac{1}{6}[/tex]

[tex]x=\frac{5}{3}[/tex] or [tex]x=2[/tex]

3:30

Half past means 30 min after

Hope this helped!

Liza finished studying at 3:30

Answer:

The ratio of flour to sugar is 2:1

Step-by-step explanation:

Let f = weight of a bag of flour

Let s = weight of a bag of sugar

3f+2s = 32

4f = 32

We have 2 equations and 2 unknowns, we can solve

4f=32

Divide by 4

4f/4 = 32/4

f = 8

Each bag of flour weights 8 pounds

Substitute this back into the first equation

3(8) +2s = 32

24+2s = 32

Subtract 24 from each side

24-24 +2s =32-24

2s = 8

Divide by 2

2s/2 = 8/2

s = 4 pounds

Flours weighs 8 pounds and sugar weights 4 pounds

We want the ratio of flour to sugar

Flour: sugar

8:4

We can divide each side by 4

8/4: 4/4

2:1

Answer:

90-73=17

the correct answer is 17

For this case we must find the angle "x" of the figure shown.

If we look at the figure, we have to:

AC equals 90 degrees.

So we have to:

[tex]73 + x = 90[/tex]

We clear the value of "x":

[tex]x = 90-73\\x = 17[/tex]

Thus, the value of "x" is 17 degrees.

Answer:

17 degrees

Option A

Answer:

A. [tex]C=K-273[/tex]

Step-by-step explanation:

You are given the formula

[tex]K=C+273[/tex]

You have to find C in terms of K. Subtract 273 from both sides of this equation:

[tex]K-273=C+273-273\\ \\K-273=C\\ \\C=K-273[/tex]

ANSWER

C=K-273

EXPLANATION

The given formula is: K=C+273

We need to solve this formula for the variable, C.

This means that we need to isolate the variable C on one side of the equation, leaving any other terms on the other side of the equation.

We subtract 273 from both sides of the equation to obtain,

K-273=C

This is the same as

C=C-273

Answer:

Step-by-step explanation:

[tex](6)=6\\\\(-6)=-6\neq6\\\\-(6)=-6\neq6\\\\-(-6)=6\\\\(0-6)=(-6)=-6\neq6\\\\(-2)\cdot(3)=-6\neq6[/tex]

The expressions that are equal to 6 are:

                       (6) , -(-6)

We are asked to find the expressions which are equal to 6.

a)

          (6)

We know that on opening the parentheses term if the sign before the parentheses is positive then the number remains the same.

but if the sign before the parentheses is negative then the number gets reversed.

Hence, the number is equal to 6.

b)

         (-6)

The number is equal to -6.

c)

          -(6)

The number is equal to -6.

d)

           -(-6)

The number is equal to 6.

e)

          (0-6)

The number is equal to -6.

f)

    (-2) · (3)

The number is equal to -6.

( We know that the multiplication of a negative and a positive number is always a negative number ).

Answer:

41

Step-by-step explanation:

First, set up the equation (2x+5) + (3x-2)+(3x)+(x)= 57. Add all of the sides together and solve for x. Next, plug in x to 2x+5, and you have your answer. I hope this helps

No, the number 15.24 is not a repeating decimal.

No, the number 15.24 is not an example of a repeating decimal.

A repeating decimal is a number whose decimal representation goes on forever and repeats a block of one or more digits. For example, the number 0.3333... is a repeating decimal because the digit 3 repeats infinitely.

In the case of 15.24, the decimal representation terminates after two decimal places.

This is because it has a fixed and finite decimal representation. The digits "15" represent the whole number part, and the "24" represents the fractional part. Since there is no repeating pattern of digits after the decimal point, 15.24 is classified as a terminating decimal, not a repeating one.

Therefore, it is not a repeating decimal.

Answer:

(D). The number that is 7 to the right of 2 on the number line​

Step-by-step explanation:

It could also be the number that is 2 to the right of 7 on the number line. When numbers are added, the distances of each to the origin are laid end-to-end from the origin to the right on the number line.

2+7 can mean that the distance 2 is added to the distance 7, or vice versa. (The commutative property of addition says order does not matter.)

Answer: D is right, not lying

Step-by-step explanation:

Answer:

I got 15 and 1/3.

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :  

                    4*x-12-(6*x-18)=0

Step-by-step explanation:

Pull out like factors :

  -2x + 6  =   -2 • (x - 3)

Hello there!

Start by removing the parenthesis combining like terms.

(4x + 12) - (6x - 18)

4x + 12 - 6x - 18

4x - 6x + 12 - 18

Next, simplify.

-2x + 12 - 18

-2x - 6

This is the final answer and it cannot be simplified any further, I hope this was helpful!