the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5

Answer:

x=21

Step-by-step explanation:

I think we are supposed to assume that is a right angle which means 90-6= 84

84/4= 21

Answer:

43

Step-by-step explanation:

48/(2^3+4)*10.75

48/(8+4)*10.75

48/12*10.75

4*10.75

43

Answer:

It is 43

Step-by-step explanation:

Answer: I think the answer is 5:2 Hope This Helps

It's 5:3

Hoped I helped!

Have a wonderful day-

Bye!

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

y = mx + b

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] and "b" is y-intercept with coordinates (0, b)

(0, 3) ⇒ b = 3

(4, 1), (6, 0)

m = [tex]\frac{0-1}{6-4}[/tex] = - [tex]\frac{1}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + 3

Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2

Answer:

I am not certain but I think it is -2 give that a try and hope it helps!

Answer:

a. let the gx be x

g(x) = x^2+1

or, x^2+1=y

or, x^2= y-1

:. x=2 root y-1

inter changing the relation of xand y

:. x=2 root y-1

:. g-1(x)= 2root x-1

b.

Answer:

The y intercept is (0,-12)

Step-by-step explanation:

You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.

Answer:

(0, -12)

Step-by-step explanation:

In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.

To find the slope:

The slope is equal to: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's plug (5,8) and (12,36) into the equation:

[tex]\frac{36 - 8}{12 - 5}[/tex]

Now let's solve for the slope:

36 -8 = 28

12 - 5 = 7

So we get: [tex]\frac{28}{7}[/tex]

Now that we've found the value of the slope, we can put it into the equation:

y = [tex]\frac{28}{7}[/tex]x + b

To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):

Input the values of x and y into the equation:  8 = [tex]\frac{28}{7}[/tex](5) + b

Multiple [tex]\frac{28}{7}[/tex] by 5:  8 = [tex]\frac{140}{7}[/tex] + b

Divide 140 by 7:  8 = 20 + b

Subtract 20 from both sides of the equation to isolate b:  

8 - 20 = 20 - 20 + b

-12 = b

The y-intercept is (0, -12).

Answer:

A is not correct

Step-by-step explanation:

angle GHK is a vertical angle but Jhi is not

Answer:

20%

Step-by-step explanation:

Calculate percentage change

from V1 = 15 to V2 = 18

(V2−V1)|V1|×100

=(18−15)|15|×100

=315×100

=0.2×100

=20%change

=20%increase

Answer:

20%

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 + 0.44x - 1.69x = 19

-1.25x = 19 - 24

-1.25x = -5

x = 4

Step-by-step explanation:

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

1.25x = 5

x = 5/1.25

= 4

Answer:

d=1.4

Step-by-step explanation:

cuz 10-1.4=8.6

Answer:

D. 1.4

Step-by-step explanation:

-8.6 - (-10) = 1.4

Answer:

Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.

Answer:

600

Step-by-step explanation:

Answer:

1).  2x^2-3x+20

2). 4x^2-14x+6

Step-by-step explanation:

1. (x-4)(2x+5)

FOIL:

(x)(2x)+5(x)-8(x)+(4)(5)

2x^2+5x-8x+20

=2x^2-3x+20

2. (4x-2)(x-3)

FOIL:

(4x)(x)-(3)(4x)-2(x)-2(-3)

4x^2-12x-2x+6

=4x^2-14x+6

Answer:

215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left

Step-by-step explanation:

we have 5,814 meters of rope and we are told to calculate the number of 27 meters sections that we can cut:

you have to divide 5,814 meters by 27 meters = 215.333

that means that you have 215 sections of rope that measure 27 meters in length, and you also have 9 meters of rope left (0.333 x 27 = 9)

Answer:

$18.13

Step-by-step explanation:

It is correct

Answer:

y=2/3x + 4

Step-by-step explanation:

y=mx + b is the slope intercept form with b representing the y interept and m being the slope.

Answer:

f(x) = 17x - 18

y=17x-18

y=17(33)-18

y=561-18

y=543

f(x)=543

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Plug in 33 for f(x) into the first equation:

33 = 17x - 18

17x = -51

x = -3

Answer:

f(-2) = -1

Step-by-step explanation:

Look at x = -2 and find the value of y.

Answer:

7308

Step-by-step explanation:

348 times 21 = 7308

Sorry if this is wrong.

Answer:

34y-34

Step-by-step explanation:

Expand:

32y-24+2y-10

=34y-34

Answer:

34y-34  or  34(y-1) whichever is better for you specifically

Step-by-step explanation:

distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)

Answer:

[tex]m=6[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 5)

Point (0, -1)

Step 2: Find slope m

Answer:

1/3 and 5/15

Step-by-step explanation:

Answer:

Question 3) x=32

Question 4) x=30

Step-by-step explanation:

180-122=58

180-58-90=32

180-130-20=30

Answer:

2/3

Step-by-step explanation: