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vesna_86 [32]
3 years ago
10

1 minus the quotient of r and 7 in algebraic expression

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0

Answer:

1-(r÷7) or r÷7-1

Step-by-step explanation: Quotient is the result of a division problem.

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2(6+2x-1) pleas help fast
Nat2105 [25]

Answer:

4x+10

Step-by-step explanation:

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A woman walks 5 rounds along the border of a square field of area 49². Find the total distance she walks in m.​
Luba_88 [7]
You need to estimate the square root of 200 ft². Rewrite 200 as 2 x 100, then square root of (2*100) is:

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2 years ago
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Find a polynomial of degree 3 with real coefficients and zeros of -3,-1, and 4, for which f(-2)=-24
Zanzabum

We want to find a polynomial

<em>f(x)</em> = <em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em>

such that the roots of <em>f</em> are <em>x</em> = -3, <em>x</em> = -1, and <em>x</em> = 4, and <em>f(x)</em> takes on a value of -24 when <em>x</em> = -2.

The factor theorem for polynomials tells us that we can factorize <em>f(x)</em> as

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a</em> (<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4)

Expand the right side:

(<em>x</em> + 3) (<em>x</em> + 1) (<em>x</em> - 4) = <em>x</em>³ - 13<em>x</em> - 12

So we have

<em>a</em> <em>x</em>³ + <em>b</em> <em>x</em>² + <em>c</em> <em>x</em> + <em>d</em> = <em>a x</em>³ - 13<em>a</em> <em>x</em> - 12<em>a</em>

<em />

In order for both sides to be equal, the coefficients of both polynomials on terms of the same degree must be equal. This means

<em>a</em> = <em>a</em> (of course)

<em>b</em> = 0 (there is no <em>x</em>² term on the right)

<em>c</em> = -13<em>a</em>

<em>d</em> = -12<em>a</em>

<em />

We also have that <em>f</em> (-2) = -24, which means

<em>f</em> (-2) = <em>a</em> (-2 + 3) (-2 + 1) (-2 - 4)

-24 = 6<em>a</em>

<em>a</em> = -4

which in turn tells us that <em>c</em> = 52 and <em>d</em> = 48.

So we found

<em>f(x)</em> = -4<em>x</em>³ + 52<em>x</em> + 48

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2 years ago
Last month a Carpenter made five tables this month he made 80% more than that how many tables do the carpenter make this month
Nataliya [291]

Answer:

9 tables

Step-by-step explanation:

5 × 1.8 = 9

to find how many tables he made you have to multiply the number he made by 1, then .(whatever the percent is)

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3 years ago
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Which of the following statements are true about the function y = 3x?
dolphi86 [110]

Answer:

I believe the answer is The constant of variation is y is 6 when x is 2.

6 0
2 years ago
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