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2 years ago

5

Solve the inequality

1 answer:

AnnyKZ [126]2 years ago

3 0

Since it's an inequality, there's no exact answer
To solve the inequality do this:
1.) Isolate the m by dividing each side of the inequality by 6
$(6m \leq 6)/6$
2.) That's it!!
Final Answer: $m \leq 1$

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Patrick raced round a 440 metre circular track and stopped suddenly after 900 metres . How far was she from the starting point a

castortr0y [4]

Answer:

20 meters

Step-by-step explanation:

The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.

So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.

The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be $900-880=20$ meters from the starting point.

8 0

2 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

Simplify.<br> (-9x^2+3x+5) - (8x^2-5x-6)+(-4x^2 – 2x-8)

leva [86]

Answer:

-21x^2+6x+3

Step-by-step explanation:

distributive property

6 0

2 years ago

Drag the phrases into the box to match each expression. 3/4x+1/2 3/4−1/2x 3/4−(x+1/2) 20 pointss!!! i know i must be cra

fomenos

Answer:

$\frac{3}{4}x + \frac{1}{2}$ = One-half more than three-fourths of a number

$\frac{3}{4}-\frac{1}{2}x$ = Three-fourths minus one-half of a number

$\frac{3}{4}-(x+\frac{1}{2})$ = three-fourths minus the sum of a number and one-half

Step-by-step explanation:

Suppose x be an unknown number.

∵ 3/4th of a number = $\frac{3}{4}x$

$\frac{3}{4}x + \frac{1}{2}$ = One-half more than three-fourths of a number

Now, half of a number = $\frac{1}{2}x$

$\frac{3}{4}-\frac{1}{2}x$ = Three-fourths minus one-half of a number

Sum of a number and one-half = $x+\frac{1}{2}$

$\frac{3}{4}-(x+\frac{1}{2})$ = three-fourths minus the sum of a number and one-half

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2 years ago

HELP PLZZ I WILL REWARD IF ANSWERS RIGHT

pentagon [3]

I know you have 1 and 3 right but I'm sorry about not knowing the rest.

8 0

2 years ago