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storchak [24]
3 years ago
8

Given: A = {18, 6, -3, -12}

Mathematics
1 answer:
tangare [24]3 years ago
5 0
First solve the inequality:
(2/3)x +3< -2x-7
(8/3)x< -10
x< -30/8
x<-15/4 or x< -3.75
now look for the answers which satisfy this, and the answer will be D
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Solve forx: x^2 = 5x
Akimi4 [234]

Answer:

x = 5

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Pulling out like terms :

2.1     Pull out like factors :

  x2 - 5x  =   x • (x - 5)

Equation at the end of step  2  :

 x • (x - 5)  = 0

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

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3 years ago
(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.
Nana76 [90]

Look at the picture.

\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}

We have the right triangle x, y and r. From the Pythagorean theorem we have:

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We have the point

\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)

Substitute:

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8 0
3 years ago
Karen deposited $25 in the bank on Monday, $50 on Wednesday and $15 on Friday. On Saturday, she took out $40. Karen's original b
natulia [17]
In order to solve this problem, use sign conventions. Since deposit indicates cash inflow, that would take the positive sign. On the other hand, withdrawals take negative sign. We add these integers to the original balance. he solution is as follows:

$100 + $25 + $50 + $15 + (⁻$40) =<em> $150</em>
3 0
3 years ago
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Citrus2011 [14]

Answer:

x is 24°

Step-by-step explanation:

angles substended by the same chord or arc....90-66= 24°.

5 0
2 years ago
A you borrows $10000 for 5 years at 12% compound interest. How much will the man have to repay?
valentinak56 [21]

Answer:

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Step-by-step explanation:

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3 years ago
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