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3 years ago

The difference of twice a number and 6 is at most 25

Mathematics

1 answer:

Hitman42 [59]3 years ago

6 0

This is your personal answer
2( x - 6) <= 28

x - 6 <= 14

x <= 20

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Tell whether the angles are complementary or supplementary. Then find the value of x.

Lady bird [3.3K]

Answer:

complementary x=5

Step-by-step explanation:

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3 years ago

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The formula S=3F-24 is used to calculate shoe size,S, from food length,F(in inches).which equation could be used to calculate fo

sp2606 [1]

Solving
S = 3F - 24
for F gives
S + 24 = 3F
(S + 24)/3 = F

The best choice is the last one:
F = (S + 24)/3

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3 years ago

A teenager who is 5 feet tall throws an object into the air. The quadratic function LaTeX: f\left(x\right)=-16x^2+64x+5f ( x ) =

tia_tia [17]

Answer:

At approximately x = 0.08 and x = 3.92.

Step-by-step explanation:

The height of the ball is modeled by the function:

$f(x)=-16x^2+64x+5$

Where f(x) is the height after x seconds.

We want to determine the time(s) when the ball is 10 feet in the air.

Therefore, we will set the function equal to 10 and solve for x:

$10=-16x^2+64x+5$

Subtracting 10 from both sides:

$-16x^2+64x-5=0$

For simplicity, divide both sides by -1:

$16x^2-64x+5=0$

We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:

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

Substitute:

$\displaystyle x=\frac{-(-64)\pm\sqrt{(-64)^2-4(16)(5)}}{2(16)}$

Evaluate:

$\displaystyle x=\frac{64\pm\sqrt{3776}}{32}$

Simplify the square root:

$\sqrt{3776}=\sqrt{64\cdot 59}=8\sqrt{59}$

Therefore:

$\displaystyle x=\frac{64\pm8\sqrt{59}}{32}$

Simplify:

$\displaystyle x=\frac{8\pm\sqrt{59}}{4}$

Approximate:

$\displaystyle x=\frac{8+\sqrt{59}}{4}\approx 3.92\text{ and } x=\frac{8-\sqrt{59}}{4}\approx0.08$

Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.

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2 years ago

Z-8-22<br> z equals what

nikdorinn [45]

Answer:

z=30

Step-by-step explanation:

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3 years ago

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Ben has typed 180 and can type 30 words per minute. Millie has typed 60 and can type 50 words per minute. How many minutes will

Alex17521 [72]

about 2 minutes

hope this helps

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3 years ago