A soccer ball is kicked up field as gloria runs to advance it further. The graph presents the distance that Gloria and the soccer ball are from the kicker over time.
How many seconds will it take for Gloria to connect with the ball?
A. 2 sec.
B. 3 sec.
C. 20 secs.
D. 30 secs

Answer:

A

Step-by-step explanation:

It would be A,

As we can see, p*c =60 for every value in the chart. We can rearrage this to get c=60/p

I hope this helped! :)

There are so many ways to answer this but one way is:

Reflection over x=1

Reflection over x-axis

If u need a different answer I'll try to help

Answer:

A

Step-by-step explanation:

You're right:) distribute the 3 and have the y alone and it's A

Answer:

-7 6/14, 1 3/11, 1 3/10, 5 3/10, 6 3/10

Answer:

xy+12x+2y

Step-by-step explanation:

thats all you can do to this

No because 0.4+0.15+0.06+0.14+0.25=1 and you cant get probability over 1

9514 1404 393

Answer:

  3 (7e)  f(x) = -3(x +2)^2 +1; D: (-∞, ∞); R: (-∞, 1]

  4 (8)  g(x) = 4(x -3)^2 -5; x = 3; (3, -5); min: -5; D: (-∞, ∞); R: [-5, ∞)

  5 (10)  A(175) = 31,250 m^2

Step-by-step explanation:

Q3. (7e) f(x) = -3x^2 -12x -11 = -3(x^2 +4x) -11 = -3(x^2 +4x +4) -11 +3(4)

  f(x) = -3(x +2)^2 +1

Domain: all real numbers; Range: y ≤ 1

Expanded: -3(x^2 +4x +4) +1 = -3x^2 -12x -11

__

Q4. (8a) g(x) = 4(x^2 -6x) +31 = 4(x^2 -6x +9) +31 -4(9)

  g(x) = 4(x -3)^2 -5

8b) x = 3 . . . axis of symmetry

8c) (3, -5) . . . coordinates of vertex

8d) minimum: -5 (parabola opens upward from vertex, which is the minimum)

8e) any quadratic has a domain of "all real numbers"

8f) the range is upward from the minimum: y ≥ -5

8g) see attached

__

Q5. (10) A(x) = 700x -2x^2 = -2(x^2 -350x +30625) +2(30625)

  A(x) = -2(x -175)^2 +31,250

The maximum area that can be enclosed is 31,250 square meters.

_____

Additional comment

The process of "completing the square" can be done using the following steps. (a) Factor out the leading coefficient from the variable terms; (b) determine the linear term coefficient inside parentheses, and add the square of half of it inside parentheses; (c) add the opposite of the same quantity outside parentheses (make sure the leading coefficient is properly factored in; (d) rewrite the parentheses as a square, and collect terms outside parentheses. In the final form a(x -h)^2 +k, the vertex is (h, k).

Step-by-step explanation:

-12x+24

4x-24y

30-6q

1/2c-4

-15+3b

-7d-14

Answer:

-12x+8

4x-24y

30-6q

1/2c-4

-15-3b

-7d-14

Step-by-step explanation:

1,250+125= 1,375

1375×3=4125

5325-4125=1200

They can afford to play the new employee $1200

Answer:

The answer is x=-7.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

7-(-1)/4-3

8/1=8

Y=8x+b

7=8(4)+b

7=32+b

-25=b

Answer: y=8x-25

Answer:

Step-by-step explanation:

Sally will clean in one hour

2/5*3=6/5=1 1/5 houses in one hour

Answer:

Option B is the correct option.

Step-by-step explanation:

Given the expression

[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}[/tex]

Apply radical rule:

[tex]\frac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\frac{a}{b}}[/tex]

so

[tex]\frac{\sqrt[3]{x^5}}{\sqrt[3]{x^7}}=\sqrt[3]{\frac{x^5}{x^7}}[/tex]

Apply radical rule:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

so

   [tex]=\sqrt[3]{\frac{1}{x^2}}[/tex]         ∵  [tex]\frac{x^5}{x^7}=x^{5-7}[/tex]

   [tex]=\frac{1}{x^{\frac{2}{3}}}[/tex]

Therefore, option B is the correct option.

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−5=2−4x(x−1)

Step 1: Simplify both sides of the equation.

−2x−5=−4x^2+4x+2

Step 2: Subtract -4x^2+4x+2 from both sides.

−2x−5−(−4x^2+4x+2)=−4x^2+4x+2−(−4x^2+4x+2)

4x^2−6x−7=0

For this equation: a=4, b=-6, c=-7

4x^2+−6x+−7=0

Step 3: Use quadratic formula with a=4, b=-6, c=-7.

x=−b±√b2−4ac/2a

x=−(−6)±√(−6)2−4(4)(−7)/2(4)

x=6±√148/8

Answer:6000 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

....... .

The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

h > 75.5

The value of the variable h is greater than 75.5 that means at 75.5 there will be an open circle.

More about the number line link is given below.

https://brainly.com/question/13189025

#SPJ5

Answer:

10

Step-by-step explanation:

2/3 of 60 is 40. 1/4 of 40 is 10

Answer:

x = 3 and y = 5

Step-by-step explanation:

y = x+2

3x+2(x+2)=19

3x+2x+4=19

5x+4=19

    -4   -4

5x=15

x=3

y=x+2

y=(3)+2

y=5

Answer:

x=3 and y=5

Step-by-step explanation:

Answer:

12x^8y^8

Step-by-step explanation:

taking numbers in one side and multiplying and taking the variables in other sides and adding the power

The answer is C, 510.

Answer:

-1/2 x 3 = -3/2

-1/2 x - 2/5 = 2/10 = 1/5

Answer = The second one: -3/2 + 1/5

Step-by-step explanation:

Answer:

Y=-3

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Sense there are 4 popsicles in all, and 2 are cherry, there would be 2/4 cherry popsicles, which is 1/2 or 50%

Hope my explanation makes sense :)

Answer:

10/16

Step-by-step explanation:

I looked at the 5 and looked at every other number and you can't multiply evenly with those other numbers. You can only do 5x2 which will get you ten. But that won't work for the other numbers.

Hope this helps :)