What is the greatest whole number that rounds to 67,400? What is the least whole number?

Answers

Answer 1

Answer: greatest would be 100,000 (the nearest 100,000)
least 67,000 (the nearest thousand) enjoy Brainly

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3/8 of the cast in a musical have to sing what fraction of the cast does not have to sing

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so 100% of the cast is 8/8 right? so you would subtract 8/8-3= 5/8

so, 5/8 of the cast does not have to sing

The answer is simply 5/8. 5/8 of the cast does not have to sing.

What is x + 15 > 3 it'd be a lot of help, thank you

Answers

The answer to this would be x > -12

x>-12 because you subtract 15 and 3 and you get 12. Hope this helps :p

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w.r) (x)?

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For this case we have by definition that:

$(f * g) (x) = f (x) * g (x)$

In this case we must find $(w* r) (x)$ , so:

$(w * r) (x) = w (x) * r (x) = (x-2) (2-x ^ 2) =$

We must apply distributive property that states that:

$(a + b) (c + d) = ac + ad + bc + bd$

So:

$(x-2) (2-x ^ 2) = 2x-x ^ 3-4 + 2x ^ 2 = -x ^ 3 + 2x ^ 2 + 2x-4$

The range is the set of all "y" values

Valid That is to say: (-∞,∞)

Answer:

(-∞,∞)

7 parentheses 3x + 8 parentheses

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What are we looking for here? Are we looking for x or trying to figure out the answer?

How do you know if an equation represents a proportional relationship?

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If it creates a straight line on a graph, it is proportional

3. In the diagram below of right triangle ACB, altituDB find the length of CD in simplest radical form4,

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ACB, ACD and DCB are all right triangles. We can then represent the relationships of their legs through the Pythagorean theorem.

For triangle ACB:
7^2=(AC)^2+(BC)^2 (1)

For triangle ACD:
(AC)^2=3^2+(CD)^2 (2)

For triangle DCB:
(BC)^2=(CD)^2+4^2 (3)

To make things simpler, we let
(AC)=x
(BC)=y
(CD)=z

Hence we have:
49=x^2+y^2 (1)
y^2=z^2+16 (2)
x^2=9+z^2 (3)

To solve for the unknown c, let us first substitute equation (2) in (1)
49=x^2+z^2+16
33=x^2+z^2 (4)

Then, we can substitute equation (3) in (4)
33=9+z^2+z^2
24=2z^2
z^2=12
z=2sqrt(3)

Thus, the length of z or (CD) is 2sqrt(3) in simplest radical form.

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