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2 years ago

What is the equation of the line that is parallel to y=−5x−2 that passes through the point (2,−12)?

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

7 0

Answer:

y = -5x - 9

Step-by-step explanation:

y = -5x + b

x = 2 y = -12

-12 = -5*2/-3 + b

b = -9

therefore, y = -5x -9

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I need help with this does anyone understand this?

soldier1979 [14.2K]

Answer:

Let y = f(x)

$= > y = \frac{19}{ {x}^{3} }$

$= > {x}^{3} = \frac{19}{y}$

$= > x = \sqrt[ 3]{ \frac{19}{y} }$

${f}^{ - 1} (x) = \frac{ \sqrt[3]{19} }{ \sqrt[3]{x} }$

<h2>option A</h2>

4 0

2 years ago

Question 12

soldi70 [24.7K]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The tank for a car holds 17 gallons. The gasoline gauge shows the tank is 3/4 full. How much gas is still in the tank?

Give your answer as a whole number or as a mixed fraction reduced to lowest terms.

Answer:

$Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Step-by-step explanation:

The tank for a car holds 17 gallons.

The gasoline gauge of the car shows that the tank is 3/4 full.

We are asked to find the remaining gasoline in the tank.

$Gas \: \:left = \frac{3}{4} \times 17 \\\\Gas \: \:left = \frac{51}{4} \\\\Gas \: \:left = 12 \frac{3}{4} \: \:gallons \\\\$

Therefore, the remaining gas in the tank is $12\frac{3}{4}$ gallons.

Alternatively:

$1 - \frac{3}{4} = \frac{1}{4}$

Amount of gasoline consumed = $\frac{1}{4} \times 17 = \frac{17}{4}$

Amount of gasoline left = total - consumed

Amount of gasoline left = $17 - \frac{17}{4} = 12\frac{3}{4} \:\: gallons$

6 0

3 years ago

Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on

Diano4ka-milaya [45]

X = pencils, y = pens

8x + 6y = 8.50
4x + 4y = 5.....multiply by -2
----------------
8x + 6y = 8.50
-8x - 8y = -10 (result of multiplying by -2)
-----------------add
-2y = - 1.50
y = -1.50 / -2
y = 0.75 <=== pens cost 0.75

4x + 4y = 5
4x + 4(0.75) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2/4
x = 0.50 <== pencils cost 0.50

8 0

2 years ago

The processing speed of a certain computer is 10¹¹ instructions per second. Another computer has a processing speed that is 10³

Mashcka [7]

“Times as fast” means you need to multiply the original speed (10^11) by how many times faster the faster processor works:

10^11 instructions/second • 10^3 faster = 10^14 instructions/second

The key is “___ times as fast”.

7 0

2 years ago

Three ounces of cinnamon cost 2.40 if there are 16 ounces in 1 pound how much does cinnamon cost per pound

loris [4]

The cinnamon would cost $12.80 per pound.

4 0

2 years ago