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2 years ago

Identify the slope and y intercept in a table

Mathematics

1 answer:

stich3 [128]2 years ago

5 0

Answer:

May I see the table?

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A batter strikes a baseball. the equation y = -0.005^2 +0.7x + 3.5 models its path, where x is the horizontal distance, in feet,

hram777 [196]

Answer:

(D)144.8 feet

Step-by-step explanation:

Given the equation which models the path of the baseball

$y = -0.005x^2 +0.7x + 3.5$

where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.

To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.

$y = -0.005x^2 +0.7x + 3.5=0$

$-0.005x^2 +0.7x + 3.5=0$

We use the quadratic formula to solve.

In the quadratic equation above, a=-0.005, b=0.7, c=3.5

$x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a} \\=\dfrac{-0.7\pm\sqrt{0.7^2-4(-0.005*3.5)} }{2*-0.005} \\=\dfrac{-0.7\pm\sqrt{0.49+0.07} }{-0.01}\\=\dfrac{-0.7\pm\sqrt{0.56} }{-0.01}\\x=\dfrac{-0.7+\sqrt{0.56} }{-0.01} \: or\: x=\dfrac{-0.7-\sqrt{0.56} }{-0.01}\\x=-4.83 \: or\: x=144.83$

Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.

<u>The correct option is D.</u>

6 0

3 years ago

How do you find the slope on a graph?

Katarina [22]

Answer:

I am unsure of the specifics, I always used slope-intercept form.

Step-by-step explanation:

If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.

8 0

3 years ago

A landscaping company has been commissioned to design a triangular flower bed for a mall

Deffense [45]

Answer:

A=b(1/2b-1)

112ft^2

Step-by-step explanation:

-Write the equation in factored form: A= b (1/2 b -1 )

-Supposed the base of the flower bed is 16 feet. What will the area be:

b=16 feet

Formula is A=1/2(1/2b-1)

Replace the b with 16

A=1/2 (16)^2 - 16

A=1/2 (256)-16

A=256/2 - 16

A=128-16

A=112 ft^2

The area will be 112 ft^2

3 0

3 years ago

A book has 400 pages. 75 of these pages have colour pictures. What fraction of the pages in the book have coloured pictures?

erastovalidia [21]

75 / 400 = 0.1875 = 18.75% = 3/16

7 0

3 years ago

Find x to find the measure of the remote interior angle. please help and thank you.

marshall27 [118]

180-134=46

180-46-46=88

3 0

3 years ago