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3 years ago

8

Consider this function: f(x) = -4x + 7. Which polynomial is equivalent to f(f(x))? A. 16x – 28 B. 16x2 – 56x + 49 C. 16x – 21 D.

16x2 – 56x + 56

1 answer:

Temka [501]3 years ago

5 0

Answer:

The answer is :

C. 16x - 21

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Can someone help me on this ? its Algebra 1 on exponents

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The volume of a rectangular prism is its length times width times height, or algebraically, $V=lwh$ . You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute $l=x, w= \frac{x}{2},h= \frac{x}{3}$ into the formula for volume. You get $(x)( \frac{x}{2})( \frac{x}{3} )$ , and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get $\frac{(x)(x)(x)}{(1)(2)(3)} = \frac{x^3}{6}$ . It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule $x^{-n}= \frac{1}{x^n}$ , if n is non-negative. The opposite applies so that $\frac{1}{6} = 6^{-1}$ . For your final answer, you write $6^{-1}x^3$ . This corresponds to answer choice B.

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3 years ago

If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?

KATRIN_1 [288]

9514 1404 393

Answer:

(d) 36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

__

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

d^2 = 20^2 +30^2 = 1300

d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

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3 years ago

The domain of the following relation: R: {(−3, 4), (5, 0), (1, 5), (2, 8), (5, 10)} is:

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Answer:

For an ordered pair (x,y) that a set contain :

x = Domain of the relation

y = Range of the relation

In a relation x can have two or more than two ranges i.e a x can have more or more than two images.

So, Domain = First element of ordered pair that the following relation R contains ={(−3, 4), (5, 0), (1, 5), (2, 8), (5, 10)}= -3, 5, 1,2,5

But the element 5 is Occuring twice.

Domain = { -3,1,2,5} →→Option A

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3 years ago

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Ket [755]

Answer:

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