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aalyn [17]
4 years ago
15

If x + 3y = 7 and x - 3y =7 , then find y Please help me

Mathematics
1 answer:
telo118 [61]4 years ago
3 0

Answer:

x + 3y = 7 , x - 3y = 7 : y = , x = 7

Step-by-step explanation:

\left[\begin{array}{ccc}x + 3y = 7\\x - 3y = 7\end{array}\right]

Isolate x for x + 3y = 7 : x = 7 - 3y:

Substitute x = 7 - 3y:

\begin{bmatrix}7-3y-3y=7\end{bmatrix}

Isolate y for 7 - 3y - 3y = 7 : y = 0:

For x =7-3y

Substitute y = 0

x=7-3 * 0

7 - 3 * 0 = 7

x = 7

The solution to the system of equations are:

y=0,\:x=7

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

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The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches. Men the same
masha68 [24]

Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

Step-by-step explanation:

Let x and y area the random variable that represents the heights of women and men.

Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.

i.e. \mu_1 = 64   \sigma_1=2.7

Since , z=\dfrac{x-\mu}{\sigma}

Then, z-score corresponds to  a woman 6 feet tall (i.e. x=72 inches).

[∵  1 foot = 12 inches , 6 feet = 6(12)=72 inches]

z=\dfrac{72-64}{2.7}=2.96296296\approx2.96

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.

i.e. \mu_2 = 69.3   \sigma_2=2.8

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).

[∵  1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

z=\dfrac{70-69.3}{2.8}=0.25

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.

6 0
3 years ago
I really don’t know how to do this at all , help
klasskru [66]

Answer:

Plot -11 on the tick mark directly to the left of -10.

Step-by-step explanation:

Hope this helps!

-Josh

5 0
3 years ago
Read 2 more answers
D(x)=(x^2-12x+20)/(3x)
krok68 [10]

Answers:

Vertical asymptote: x = 0

Horizontal asymptote: None

Slant asymptote: (1/3)x - 4

<u>Explanation:</u>

d(x) = \frac{x^{2}-12x+20}{3x}

      = \frac{(x-2)(x - 10)}{3x}

Discontinuities: (terms that cancel out from numerator and denominator):

Nothing cancels so there are NO discontinuities.

Vertical asymptote (denominator cannot equal zero):

3x ≠ 0  

<u>÷3</u>   <u>÷3 </u>

x ≠ 0

So asymptote is to be drawn at x = 0

Horizontal asymptote (evaluate degree of numerator and denominator):

degree of numerator (2) > degree of denominator (1)

so there is NO horizontal asymptote but slant (oblique) must be calculated.

Slant (Oblique) Asymptote (divide numerator by denominator):

  •        <u>(1/3)x - 4    </u>
  •    3x)    x² - 12x + 20
  •             <u>x²        </u>
  •                  -12x
  •                  <u>-12x         </u>
  •                             20 (stop! because there is no "x")

So, slant asymptote is to be drawn at (1/3)x - 4



6 0
3 years ago
How is it possible for the whale watching adventure and volcano tour charge you for a zero hour tour?
yanalaym [24]
You could have stayed in one place

I think
5 0
3 years ago
How much money will the movie theater make if a birthday party of 12 kids each buys a box of candy and a soda but does not go se
Hunter-Best [27]

Answer:

$93

Step-by-step explanation:

12(3.75+4.00)

= 93

4 0
3 years ago
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