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MAXImum [283]
3 years ago
5

If R is the midpoint of QS , find QS (QR = 5x-3 and RS =21-x)

Mathematics
2 answers:
Finger [1]3 years ago
3 0

Answer:

QS is 34

Step-by-step explanation:

We find x first. We set each side equal to each other to do so.

5x-3=21-x

6x=24

x=4

Next we find QS value. We add each side.

5x-3+21-x

4x+18

Then we plug in x to find numeric value.

4(4)+18

34

Arlecino [84]3 years ago
3 0

Answer:

QS is 34

Step-by-step explanation:

R is the midpoint of QS

So, QR= RS

(QR = 5x-3 and RS =21-x)

QR= RS

Plug in QR  and RS

5x-3=21-x

Add x on both sides

6x-3= 21

Add 3 on both sides

6x= 24

Divide by 6 on both sides

x= 4

QS= QR+RS

QS=5x-3+21-x

QS=4x+18

Plug in 4 for x

QS=4(4)+18=34

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For every 1000 pairs sold, the manufacturer expect to replace 239 pairs for free.

Step-by-step explanation:

Given:

Mean (μ) = 2.2, Standard deviation(S.D) (σ) = 1.7 years and x = 1 (1 year)

Let's find the Z score.

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Now plug in the given values in the above formula, we get

Z = \frac{1 - 2.2}{1.7} = -0.71

Now we have to use the z-score table.

The z-score for 0.71 is 0.2611

Since it z is negative, so we subtract 0.2611 from 0.5000

0.5000 - 0.2611 = 0.2389

Percentage = 0.2389 × 100 = 23.89%

To find replaces for 1000 pairs, we need to multiply 23.89% by 1000

= \frac{23.89}{100} .1000 = 238.9

= 239

The cannot be in decimal, when we round off to the nearest whole, we get

239

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3 years ago
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(Make sure to set f(x) to zero)

So for this equation, I will be factoring by grouping. Firstly, what two terms have a product of -5x^2 and a sum of 4x? That would be 5x and -x. Replace 4x with 5x - x: 0=5x^2+5x-x-1

Next, factor 5x^2 + 5x and -x - 1 separately. Make sure that they have the same quantity on the inside: 0=5x(x+1)-1(x+1)

Now you can rewrite the equation as: 0=(5x-1)(x+1)

Now apply zero product property to the factors to solve for x:

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3 years ago
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