Which point on the graph represents the y-intercept?

Answer:

A) The fish was out of water for 0.6875 seconds.

B) Maximum height = 5.672

Step-by-step explanation:

Height is modeled by;

y = -16t² + 11t

A) To find total time of the fish out of water, we need to find the x - intercept. That is the points where y = 0

So, 0 = -16t² + 11t

So the roots of this equation are;

t = 0 or 0.6875

Thus,the fish was out of water for 0.6875 seconds.

B) y = -16t² + 11t

The x coordinate of the vertex is at - b/2a

For y = -16t² + 11t

a = -16, b = 11, c = 0

So, -b/2a = -11/(2*-16) = 11/32

The maximum height will be at the y-coordinate of the vertex.

Thus, we need to find f(11/32)

f(11/32) = -16(11/32)² + 11(11/32) = 1.890625 + 3.78125 = 5.671875 ≈ 5.672

The solution for equation is at (-2, 0).

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

Both linear equations with one variable and those with two variables exist.

Given equations,

y = x + 2

y = x² + 5x + 6

substitute value of y in second equation

x + 2 = x² + 5x + 6

x² + 4x + 4 = 0

x² + 2x + 2x +4 = 0

x(x +2) + 2(x + 2) = 0

(x + 2)(x + 2) = 0

x = -2

and y = x + 2

y = -2 + 2 = 0

Hence, the solution of equation is at x  = -2 and y = 0.

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Answer:

114.

Step-by-step explanation:

18 + 4 + 2 x 3 x 15 + 2

multiply the numbers 2 x 3 x 15 + 90

18 + 4 + 2 + 90 + 2

add the numbers : 18 + 4 + 2 + 90 + 2

= 114!

Answer:

-93

Step-by-step explanation:

it decreases by four every time, so take -4 times 22 and then subtract 5.

answer is 2.

x is divided by 28 and 7 is divided by x

after that cut 28 by 7

and the anwer will be x square = 4

and the square will go to 4

and four will be root 4

and the answer will be x = 2

Answer: its A

sorry if im wrong

The equation 890 = 1/3 B(46)  can be used to find the area of the circular base .

Area is the space enclosed  within the perimeter of the given shape.

It is given in the question that Area of the base of a volcano has to be determined.

The structure of a volcano is that of a Cone

Area of a conical structure is given by

V = (1/3) * height * (radius)²

890 = 1/3 (radius)²(46)

V = 890 h = 46

area of a circle = π (radius)²,

890 = 1/3 B(46)

If B = (radius)²

Therefore Option D is the correct answer

890 = 1/3 B(46)  equation can be used to find the area of the circular base .

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Answer:

last one

Step-by-step explanation:

the domain includes all real numbers and the range is y>0

Answer:

B. 4 would be your answer.

Step-by-step explanation:

7 x 3 = 21

4 x 3 = 12

:)

Answer:

B. 4.

Step-by-step explanation:

Let the number be x then

x/7 = 12/21

Crossmultiply:

x = 7*12 / 21

x =  12 / 3 = 4.

Answer:

18

Step-by-step explanation:

54/18=3

72/18=4

90/18=5

Answer:

18

Step-by-step explanation:

GCF of 54, 72, 90 is:

54÷3= 18

72÷4= 18

90÷5= 18

The GCF of 54, 72, and 90 is 18.

Answer:

144m^3

Step-by-step explanation:

Answer: g(x)=(x+7)²-2

Step-by-step explanation:

For this problem, you will need to know what each part fo the function does. You can see that g(x) is the bottom function and f(x) is the to function. F(x) has traveled down to -2. You know that the y-intercept is -2. The only answer choice with -2 as y-intercept is g(x)=(x+7)²-2.

Answer:

g(x) =  (x + 7)^2  -2

Step-by-step explanation:

f(x) = (x + 7)^2

We are shifting the function down 2 units

f(x)  -b  where b is 2

g(x) = f(x) -2

g(x) =  (x + 7)^2  -2

Answer:

[tex] A) \: x = - 10 \\ B) \: x = 7 [/tex]

Step-by-step explanation:

[tex]A) \\ = > 2(x + 3) = x - 4 \\ \\ = > (2 \times x) + (2 \times 3) = x - 4 \\ \\ = > 2x + 6 = x - 4 \\ \\ = > 2x - x + 6 = - 4 \\ \\ = > x + 6 = - 4 \\ \\ = > x = - 4 - 6 \\ \\ = > x = - 10 \\ \\ \\ B) \\ = >4(5x-2)=2(9x+3) \\ \\ = > (4 \times 5x) - (4 \times 2) = (2 \times 9x) + (2 \times 3) \\ \\ = > 20x - 8 = 18x + 6 \\ \\ = > 20x - 18x - 8 = 6 \\ \\ = > 2x - 8 = 6 \\ \\ = > 2x = 6 + 8 \\ \\ = > 2x = 14 \\ \\ = > x = \frac{14}{2} \\ \\ = > x = 7[/tex]

Answer:

Question 1

Volume of a cylinder = πr²h

r= radius h= height

diameter = 2*radius

diameter = 2* 4cm= 8cm

Volume = π × 4² × 11

= 553.14cm³

Answer:1/6

Step-by-step explanation:

Answer:

The length and width of the rectangle are 23 m and 7 m respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 60 m

L (length of the rectangle) = 2 + 3W. W is the width of the rectangle

Therefore, L = 2 + 3W

P = 2L + 2W

60 = 2(2 + 3W) + 2W

60 = 4 + 6W + 2W

60 - 4 = 8W

56 = 8W

W = 56/8 = 7 m

L = 2 + 3W = 2 + 3(7) = 2 + 21 = 23 m

L = 23 m

W = 7 m

Answer:

make them the same

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

trust me bro  i gotchu

Answer I think

:randomly survey six grade students in the school cafeteria

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Randomly surveying 6th graders in the school cafeteria would give jacob valid results because A wouldn't be reliable, because he just wants 6th graders, and B and D would be selective as it would be inside a football store, implying that most 6th graders in there would be tending towards football, and D would be inside a tennis shop, which would imply that most 6th graders there would prefer football. Therefore, the cafeteria would yield the most reliable results.

Answer:if you are looking for the hypotenuse use Pythagoras theorem 17.2047

Step-by-step explanation:square both the base and height .Add their total then find the square root

Answer:

y = - 3x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = [tex]\frac{-1-2}{0+1}[/tex] = - 3

The line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 3x - 1 ← equation of line

Answer:

see below

Step-by-step explanation:

4(5n-7)+10n+2

Distribute

20n -28 +10n+2

Combine like terms

30n-26

Assuming you meant =

4(5n-7)=10n+2

Distribute

20n -28 =10n+2

Subtract 10n from each side

20n-10n-28 = 10n-10n+2

10n-28 =2

Add 28 to each side

10n-28+28=28+2

10n=30

Divide by 10

10n/10 =30/10

n=3

9(x+3)=4x-3

Distribute

9x+27 = 4x-3

Subtract 4x from each side

9x-4x+27 = 4x-4x-3

5x +27 =-3

Subtract 27 from each side

5x+27-27 = -3-27

5x = -30

Divide by 5

5x/5 = -30/5

x=-6

2(12-8x)=x-11x

Combine like terms

2(12-8x) = -10x

Divide by 2

12-8x = -5x

Add 8x to each side

12-8x+8x = -5x+8x

12 = 3x

Divide by 3

12/3 =3x/3

4=x

Answer:

See explaination

Step-by-step explanation:

Assuming that these are three different problems:

1) 4(5n-7) = 10n+2

Distribute:

4(5n-7) = 10n+2

20n - 28 = 10n + 2

Combine like terms, isolate, and solve:

10n = 30

n = 3

2) 9(x+3) = 4x-3

Distribute:

9(x+3) = 4x-3

9x+27 = 4x - 3

Combine like terms, isolate, and solve:

5x = -30

x = -6

3) 2(12-8x) = x-11(i assumed the extra x was a typo)

distribute:

24-16x = x-11

Combine like terms, isolate, and solve:

35 = 17x

x = 35/17

Answer:

5

Step-by-step explanation:

V= Bh

volume of figure A is 60, and the volume of figure B is half.

figure B:

B= 3*4

B= 12

60=12*h

5=h

the value of a is 5.

The value of a in the prism is 3 units.

In three-dimensional space,

a prism is a polyhedron where two ends are similar.

Given:

The volume of prism A is 60 cubic units,

and the volume of prism B is half the volume of prism A.

The base area of the prism B is 20 square units.

The volume of the prism,

V = Ba, where B is the base area and a is the height.

So,

60 = 20a

a = 3 units

Therefore, the value of a is 3 units.

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The complete question:

The volume of prism A is 60 cubic units, and the volume of prism B is half the volume of prism A. The base area of the prism B is 20 square units.

What is the value of a?

Answer:

2

Step-by-step explanation:

51+1 = 52

Since 52 is even, obviously the answer is 2.

Hope this helps.

Good Luck

Answer:

28.5 ft

Step-by-step explanation:

The height of a ball is given by the equation ƒ(x) = −16x² + 45x + 2.5 where x is the tome the ball travels. To find the height of the ball after a seconds, we substitute a in place of x, the equation becomes:

ƒ(a) = −16a² + 45a + 2.5.

Therefore if the height of the ball is needed to be found after 2 seconds, we find f(2).

ƒ(2) = −16(2)² + 45(2) + 2.5 = -64 + 90 + 2.5 = 28.5 ft

f(2) = 28.5 ft

Answer: C

Step-by-step explanation:

Reflection in the x -axis:

A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is (x,y)→(x,−y) .

Answer:

B

Step-by-step explanation:

Answer:

1209 acres

Step-by-step explanation:

On the farm, 3/4 of the acre is planted with blue spruce trees.

There are 1612 acres on the farm. Therefore, the number of acres planted with blue spruce trees is:

3/4 * 1612 = 1209 acres

Answer:

Step-by-step explanation:

3m^2(5m+8) + 5(5m +8)

(3m^2+5)(5m+8)

Answer:

I think that y=17.5 when x=7