6. Find the average rate of change of Pete's height from 3 years
old to 5 years old.

Choices:
o 2 inches per year
o 4 inches per year
O 8 inches per year

Answer:

1/6

Step-by-step explanation:

can i get brainliest pls

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  [tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]

Answer:

B. - 3 / 2

Step-by-step explanation:

Let,

( x1, y1 ) = ( - 2, 5 )

So,

x1 = - 2

y1 = 5

( x2, y2 ) = ( 4, - 4 )

So,

x2 = 4

y2 = - 4

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( - 4 - 5 ) / ( 4 - ( - 2 ) )

= - 9 / ( 4 + 2 )

= - 9 / 6

Slope = - 3 / 2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (4, - 4 )

m = [tex]\frac{-4-5}{4-(-2)}[/tex] = [tex]\frac{-9}{4+2}[/tex] = [tex]\frac{-9}{6}[/tex] = - [tex]\frac{3}{2}[/tex] → B

Answer:

  (x, y) = (1.89, 0.59)

Step-by-step explanation:

Written in general form, the equations are ...

  4x +5y -10.51 = 0

  3x +8y -10.39 = 0

These can be solved using the cross-multiplication method to find ...

  ∆1 = (4)(8) -(3)(5) = 17

  ∆2 = (5)(-10.39) -(8)(-10.51) = 32.13

  ∆3 = (-10.51)(3) -(-10.39)(4) = 10.03

Then the values of the variables are ...

  x = ∆2/∆1 = 32.13/17 = 1.89

  y = ∆3/∆1 = 10.03/17 = 0.59

The solution is (x, y) = (1.89, 0.59).

Answer:

The parallelogram whose sides are 5 and 20  is similar

Step-by-step explanation:

The parallelogram whose sides are 5 and 20  is similar to the given parallelogram whose sides are 2 and 8 because the figures are the same shade and corresponding sides are proportional.

 [tex]\frac{2}{5} = \frac{8}{20}[/tex]                 [tex]\frac{2}{4} \neq \frac{8}{18}[/tex]

 [tex]\frac{2}{5} =\frac{2}{5}[/tex]                   [tex]\frac{2}{4} \neq \frac{8}{4}[/tex]

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, l = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]

Therefore;

[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]

The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet

Learn more about trigonometric ratios here:

https://brainly.com/question/9085166

Answer:

Step-by-step explanation:

Answer:

9. the first one ( 12 + 4 = 4 + 12 )

Step-by-step explanation:

the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.

The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The four options

Now,

The commutative property of addition states that changing the order of the addends does not change the sum.

This is the only option that shows the same sum with different orders of addends.

Therefore, by algebra the answer will be 12 + 4 = 4 + 12.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

The y intercept is the y value when x is 0 which is shown on the graph as (0,4) making the y intercept is 4

The next point given is (1,8) which shows for every 1 increase in x (1-0 = 1) the y value increases by a multiple of 2 (4 x2 = 8)

The equation would be f(x) = 4 * (2)^x

The answer is B

Hi! I'll try to help

It gives you two equations, one for "x" and one for "y"

All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.

y=4x

3x-y=1

Since we know that "y" is the same as 4x, you can rewrite the equation as

3x-4x=1

Next, all you have to do is combine like terms as solve "3x-4x" which is -x

Let's rewrite the equation, then:

-x=1

You can simplify it to

x=-1

by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive

Answer:

  a) 45/4

  b) 3

  c) 12

  d) 24

  e) no; rate of change varies

Step-by-step explanation:

The average rate of change on interval [a, b] is given by ...

  m = (f(b) -f(a))/(b -a)

The function values are read from the table.

__

a) m = (f(4) -f(0))/(4 -0) = (48 -3)/(4 -0) = 45/4

b) m = (f(1) -f(0))/(1 -0) = (6 -3)/(1 -0) = 3

c) m = (f(3) -f(2))/(3 -2) = (24 -12)/(3 -2) = 12

d) m = (f(4) -f(3))/(4 -3) = (48 -24)/(4 -3) = 24

e) Not a linear function. The rate of change is not constant.

Answer:

y = x² - 9x + 26

hope to help!!

[tex]\dfrac{ 2+ 2i}{5+4i}\\\\\\=\dfrac{(2+2i)(5-4i)}{(5+4i)(5-4i)}\\\\\\=\dfrac{10-8i + 10i -8i^2}{5^2 -(4i)^2}\\\\\\=\dfrac{10+2i +8}{25+16}~~~~;[i^2 =-1]\\\\\\=\dfrac{18+2i}{41}\\\\\\=\dfrac{18}{41} + \dfrac{2}{41}i[/tex]

Answer:

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is ​

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

---------------

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

Answer:

y = -1/4x + 2

Step-by-step explanation:

using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2

Answer:

56

Step-by-step explanation:

Basically you want to find out what is 70% of 80.

first you have to set up your problem

[tex]\frac{n}{80}[/tex] = [tex]\frac{70}{100}[/tex]

the first fraction would be the percent (70) over 100. (you always use 100)

The fraction to the left would be n over 80. the denominator (the number on the bottom) would be the whole amount. n would be the unknown number

To solve you would use the butterfly method. 80 x 70 and 100 x n. 80 x 70 is 5600 and 100 x n is 100n.

The final step is dividing. 5600 divided by 100 giving you 56

[tex] {4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \: [/tex]

Answer:

The solution to the equation is: ±2.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

9  < x  < 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

im not sure and what do u mean by signs

Answer:

multiplie maybe i dont know what you mean-

Step-by-step explanation:

See attachment for answer and math work.

Answer:

t=y÷x+3

Step-by-step explanation:

you have to isolate t

(I may have put the equation in the wrong order but I'm like 70% sure i got it)

Answer:

It is too garlicky.

Step-by-step explanation:

lol, uhm, this is a little bit of a strange question ngl, but I guess it's testing you on measurements and units, right?

Well, 12 gloves of garlic for every 900 mL of sauce in comparison to 8 cloves of garlic for every 500 mL of sauce is quite a difference to be honest, might even be too much in her opinion. 8 cloves for every 500 mL is more than 12 cloves for every 900 mL, so I'd say she'll think it's too garlicy.

I apologize, in advance, if I am incorrect.

Step-by-step explanation:

Equation of a straight line

y = mx + c, m is the slope, and c the intercept

points (3,7) x = 3, y = 7, c = 1

7 = m × 3 + 1

7 = 3m + 1

3m = 7 - 1

3m = 6

m = 6/3

m = 2

Answer:

x = 7

Step-by-step explanation:

A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that

7x+8 = 9x - 6

subtract 7x from both sides to put the variable on one side

2x - 6 = 8

add 6 to both sides to isolate the variable and its coefficient

2x = 14

divide both sides by 2 to isolate x

x = 7

Answer:

i think that's A

I'm just guess