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stich3 [128]
1 year ago
6

Which inequality represents all the values of x for y<(or equal to)-6(x-18)-2 when y=46

Mathematics
1 answer:
bearhunter [10]1 year ago
8 0

The value of x is x ≤ 9 for which y ≤ -5(x - 18) - 2 when y = 43.

<h3>What are inequalities and their types?</h3>

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is y ≤ -5(x - 18) - 2.

Now the values of x when y = 43 is,

43 ≤ - 5(x - 18) - 2.

43 ≤ - 5x + 90 - 2.

43 - 88 ≤ - 5x.

- 45 ≤ - 5x.

5x ≤ 45.

x ≤ 9.

learn more about inequalities here :

brainly.com/question/11612965

#SPJ1

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Answer:

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Step-by-step explanation:

The given function is:

h(t)=-16t^2+120t+6

The average rate of change of h(t) from t=a to t=b is given by:

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We can rewrite this function as: h(t)=-16(t-3.75)^2+231

The maximum height of the rocket is 231 and it occurs at t=3.75

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The initial launch occurs at: t=0

and h(0)=-16(0)^2+120(0)+6=6

The average rate of change from the initial launch to the maximum height is

\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60

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3 years ago
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Answer:

-10k+12j+15

Step-by-step explanation:

-7k-3+8j+4j-3k+18

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On a spelling test, Marcy got 15% of the questions incorrect. If there were 40 questions on the spelling test, than how many que
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Step-by-step explanation:

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WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i
trasher [3.6K]

Answer:

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

z=r(\cos \theta +i\sin \theta)

where, r=\sqrt{a^2+b^2} and \tan \theta=\dfrac{b}{a}, \theta is called the argument of z, 0\leq \theta\leq 2\pi.

The given complex number is -5i.

It can be rewritten as

z=0-5i

Here, a=0 and b=-5. \theta lies in 4th quadrant.

r=\sqrt{0^2+(-5)^2}=5

\tan \theta=\dfrac{-5}{0}

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\theta=2\pi -\dfrac{\pi}{2}    [\because \text{In 4th quadrant }\theta=2\pi-\theta]

\theta=\dfrac{3\pi}{2}

So, the trigonometric form is

z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)

4 0
3 years ago
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