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hoa [83]
3 years ago
9

PLEASE HELP IF YOU KNOW ALGEBRA AND SPANISH

Mathematics
1 answer:
Lisa [10]3 years ago
6 0

I don't know Spanish but I'm reasonably sure I know what the questions are asking. Please correct me if I'm wrong.

a. f(2) = -2^2+4(2)-10 = -4+8-10 = -6.

b. g(6) = 5(6)+1 = 30+1 = 31.

c. f(-1) = -(-1)^2+4(-1)-10 = -1-4-10 = -15.

d. This is saying to solve g(x)=16:

  • 5x+1=16
  • Subtract 1 from each side: 5x=15
  • Divide both sides by 5: x=3.

The answer is x=3.

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The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.
Mila [183]

The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The linear equation that represents the given data is y = -0.1x + 6 and its slope m = -0.1.

<h3>What is the equation of a line passing through two points?</h3>

The equation of the line passing through the points (x1, y1) and (x2, y2) is

(y - y1) = m(x - x1).

Where m is the slope of the line and is calculated by

m = (y2 - y1)/(x2 - x1)

<h3>Calculation:</h3>

The given data in the table represents the volume of helium (cu ft), inside a balloon relative to the elapsed time in minutes.

x: 5, 10, 15, 20, 25, 30, 35, 40

y: 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2

From this table, consider two points (5, 5.5) and (10, 5)

So, the equation of the line is

y- y1 = m(x - x1)

Where slope m = (y2 - y1)/(x2 - x1)

⇒ m = (5 - 5.5)/(10 - 5)

⇒ m = -0.5/5

∴ m = -0.1

Thus, the equation is

y - 5.5 = -0.1(x - 5)

⇒ y - 5.5 = -0.1x + 0.5

⇒ y = -0.1x + 0.5 + 5.5

⇒ y = -0.1x + 6.0

∴ y = -0.1x + 6

Since the slope of the line is negative, the volume of the helium inside the balloon decreased at a rate of 0.1 cubic ft per minute.

So, option 2 is correct.

Learn more about the slope of a line here:

brainly.com/question/3493733

#SPJ1

3 0
1 year ago
What is the equation of the following line written in slope-intercept from??
Gemiola [76]
X=2
hope that helps!
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3 years ago
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marishachu [46]
D you only need that much
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Which integer is closest to 0 on the number line?
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1 is the closest to 0 on the number line. Hope this helps!!!!!!!!
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Would you rather discover alien life or an animal that was thought to be extinct?
Vikentia [17]

\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}    

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3 years ago
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