A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds


before falling back down to the ground.


14


12


10


8


height (feet)


6


4


2


2


3 4 5 6 7 8 9 10


time (seconds)


Select the best description of the range of this function.


The range includes all numbers from 5 to 12.5.


The range includes all integers between 0 and 12.5.


The range includes all numbers from 0 to 8.5.


The range includes all numbers from 0 to 12.5.

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:

The slope is 4.

Step-by-step explanation:

We are given that f(0)=-5 and f(4)=11.

This means that we have the two points (0, -5) and (4, 11).

So, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, -5) be (x₁, y₁) and let (4, 11) be (x₂, y₂). Substitute appropriately:

[tex]m=\frac{11-(-5)}{4-0}[/tex]

Evaluate:

[tex]m=\frac{16}{4}=4[/tex]

Hence, the slope of the line given f(0)=-5 and f(4)=11 is 4.

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:

x > 2

Step-by-step explanation:

From the graph attached,

Given dotted line represents x = 2.

Since, given line is a dotted line, inequality represented by the dotted line will have the sign of greater than or less than (< or >) only.

Since, shaded region is on the right side of the dotted line shaded region will be represented by the inequality x > 2

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:

1 1/2

Step-by-step explanation:

3/2= 1 1/2

Answer:

$18.13

Step-by-step explanation:

It is correct

Answer:

2/3

Step-by-step explanation:

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:

C) c=ab-d/a

Step-by-step explanation:

just took the test

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:

[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:

QUACKITY IS THE MOST POG PERSON EVER

Step-by-step explanation:

BECAUSE I SAID SO

Answer:

Nope

Step-by-step explanation:

I'm in 7th grade.

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 had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

Answer/Step-by-step explanation:

[tex]-4^{3}[/tex]  ÷ 2  ÷ 4

Answer:

two

Step-by-step explanation:

ilxzc d cd cf trdc4rter

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:

opposite sides are congruent and parrallel

Step-by-step explanation:

im pretty sure im correct because i learned this in 10th grade for Algebra

Answer:

SAS Similarity

hope this helps<3

Answer:

Width: (13 inches side) 169 ft

Length: (11 inches side) 143 ft

Step-by-step explanation:

I'm not 100% sure but I tried :)

Answer:

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

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:

Question 3) x=32

Question 4) x=30

Step-by-step explanation:

180-122=58

180-58-90=32

180-130-20=30

Answer:

f(-2) = -1

Step-by-step explanation:

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

Answer:

E

Step-by-step explanation:

the square root of 64÷49 =a rational number

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:

17 meters

Step-by-step explanation:

the circumference is solved by multiplying the diameter by pi.

the diameter can be found by multiplying the raduis by 2

the diameter is 5.4

5.4 x 3.14

16.956

about 17 meters

Answer:

17[tex]m^{2}[/tex]

Step-by-step explanation:

The cirfumference of a circle when given the radius is 2πr

So pi is 3.14 thus:

2 × 3.14 × 2.7

16.956 [tex]m^{2}[/tex]

When rounding of to the nearest meter check if the number in the tenths side is bigger than 5. It is bigger so we add 1 to the units making it 17[tex]m^{2}[/tex].

HOPE THIS HELPED