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2 years ago

What’s the opposite of the number of -13

Mathematics

1 answer:

kenny6666 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

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How do i simplify -9x^3+8x^2-(7x/6)-(-7)

cricket20 [7]

Multiply -1 by -7
-9x^3 + 8x^2 - 7x/6 + 7

7 0

3 years ago

a volley ball player servers the ball. The ball follows a path given by the equation y=-0.01x^2+0.5x+3 where x and y are measure

dolphi86 [110]

Answer:

(a)

Distance from player should be 13.82 feet or 36.2 feet

(b)

The ball will go over the net

Step-by-step explanation:

we are given

The ball follows a path given by the equation

$y=-0.01x^2+0.5x+3$

where

x and y are measured in feet and the origin is on the court directly below where the player hits the ball

(a)

net height is 8 ft

so, we can set y=8

and then we can solve for x

$8=-0.01x^2+0.5x+3$

$8\cdot \:100=-0.01x^2\cdot \:100+0.5x\cdot \:100+3\cdot \:100$

$800=-x^2+50x+300$

$-x^2+50x-500=0$

$x^2-50x+500=0$

we can use quadratic formula

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-50\pm \sqrt{50^2-4\left(-1\right)\left(-500\right)}}{2\left(-1\right)}$

$x=5\left(5-\sqrt{5}\right),\:x=5\left(5+\sqrt{5}\right)$

$x=13.82,x=36.2$

So, distance from player should be 13.82 feet or 36.2 feet

(b)

we can plug x=30 and check whether y=8 ft

$y=-0.01(30)^2+0.5(30)+3$

$y=9ft$

we know that

height of net is 8 ft

so, the ball will go over the net

5 0

3 years ago

About 150,000 people live in a circular region with a population density of about

morpeh [17]

Area of a circle = pi x r^2

Area of circle = 150,000/ 1578 = 95.06 square miles

95.06 = 3.14 x r ^2

Divide both sides by 3.14

R^2 = 30.27

Find the square root:

R = sqrt(30.27)

R = 5.5

The radius is c) 5.5 miles

8 0

3 years ago

The 7 in 72 represents how many times the value of the 7 in 78 is what ?

earnstyle [38]

Answer:

One time

Step-by-step explanation:

In both the numbers 72 and 78, the place value of 7 is 70.

Hence, 7 in 72 represents one time the value of the 7 in 78.

7 0

3 years ago

Find the value of x so that the function has the given value.

nataly862011 [7]

For h(x) = -7x + 10, x =1

For r(x) = 4/5x+ 7 , x = -15

Step-by-step explanation:

in order to find the value of x on which the functions will have given values, we will put the functions equal to the given values

So,

h(x) = -7x + 10; h(x) = 3

$h(x) = -7x+10\\3 = -7x+10\\3-10 = -7x+10-10\\-7 = -7x$

Dividing both sides by -7

$\frac{-7x}{-7} = \frac{-7}{-7}\\x = 1$

r(x) = 4/5x+7; r(x) = -5

$r(x) = \frac{4}{5}x +7\\-5 = \frac{4}{5}x +7\\-5-7 = \frac{4}{5}x\\-12 = \frac{4}{5}x\\x = -12 * \frac{5}{4}\\x = -15$

Keywords: Functions

Learn more about functions at:

#LearnwithBrainly

3 0

3 years ago