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3 years ago

? ations 4y + 8x 32 and y = -x + 6 are parallel

Mathematics

1 answer:

-Dominant- [34]3 years ago

5 0

Answer:

Not parallel.

Step-by-step explanation:

4y + 8x = 32

4y = -8x + 32

Divide by 4:

y = -2x + 8

The slope is -2 but the slope of y = -x + 6 is -1 so they are not parallel.

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Need help ASAP

joja [24]

Part (1) : The solution is $729$

Part (2): The solution is $\frac{1}{16 x^{8}}$

Part (3): The solution is $\frac{2 x^{2}}{3 y z^{7}}$

Explanation:

Part (1): The expression is $3^{2} \cdot3^{4}$

Applying the exponent rule, $a^{b} \cdot a^{c}=a^{b+c}$ , we get,

$3^{2} \cdot 3^{4}=3^{2+4}$

Adding the exponent, we get,

$3^{2} \cdot3^{4}=3^6=729$

Thus, the simplified value of the expression is $729$

Part (2): The expression is $\left(2 x^{2}\right)^{-4}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\left(2 x^{2}\right)^{-4}=\frac{1}{\left(2 x^{2}\right)^{4}}$

Simplifying the expression, we have,

$\frac{1}{2^4x^8}$

Thus, we have,

$\frac{1}{16 x^{8}}$

Thus, the value of the expression is $\frac{1}{16 x^{8}}$

Part (3): The expression is $\frac{2 x^{4} y^{-4} z^{-3}}{3 x^{2} y^{-3} z^{4}}$

Applying the exponent rule, $\frac{x^{a}}{x^{b}}=x^{a-b}$ , we have,

$\frac{2x^{4-2}y^{-4+3}z^{-3-4}}{3}$

Adding the powers, we get,

$\frac{2x^{2}y^{-1}z^{-7}}{3}$

Applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we have,

$\frac{2 x^{2}}{3 y z^{7}}$

Thus, the value of the expression is $\frac{2 x^{2}}{3 y z^{7}}$

8 0

3 years ago

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $48 among the j of them. A

saw5 [17]

What were your given answer choices

8 0

3 years ago

PLZZ HELP ME 20 POINTS AND BRAINLIEST!

omeli [17]

Answer:

The price of price of the stock after it has been owned for 12 weeks is $92.55

Step-by-step explanation:

Given: The price of a particular stock is represented by the linear equation

y = -0.91x + 103.47

where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars.

We have to find the price of price of the stock after it has been owned for 12 weeks.

Since , x represents the number of weeks the stock has been owned.

Thus, by substitute, x = 12

We get the value of y , the price of stocks.

Thus, y(x) = -0.91x + 103.47

⇒ y(12) = -0.91(12) + 103.47

⇒ y(12) = -10.92 + 103.47

Solving , we get,

⇒ y(12) = 92.55

Thus, the price of price of the stock after it has been owned for 12 weeks is $92.55.

8 0

3 years ago

Read 2 more answers

while working out susie does 25 sit ups for every 12 push ups if she does 60 push ups how many sit ups will she do?

Lunna [17]

Answer:

125 sit ups

Step-by-step explanation:

well if you divide 60 by 12 you get five and if you multiply 25 and 5 you get 125

3 0

3 years ago

Read 2 more answers

Frans Summer job pays $200 per week. The circle graph shows how she spends the $200.

Ludmilka [50]

Answer:

C. $50

Step-by-step explanation:

She spends 10% of her pay on books and 15% on clothing, for a total of 25% on books and clothing.

0.25 × $200 = $50

Fran spends $50 of her pay on books and clothing.

4 0

2 years ago