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arsen [322]
2 years ago
12

I need help with this

Mathematics
1 answer:
Monica [59]2 years ago
7 0

Using derivatives, it is found that regarding the tangent line to the function, we have that:

  • The slope is of 962.
  • The equation of the line is y = 962x - 5119.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:

f(x) = 5x³ + 2x + 1.

The derivative is given by:

f'(x) = 15x² + 2.

Hence the slope at x = 8 is:

m = f'(8) = 15(8)² + 2 = 962.

The line goes through the point (8,f(8)), hence:

f(8) = 5(8)³ + 2(8) + 1 = 2577.

Hence:

y = 962x + b

2577 = 962(8) + b

b = -5119.

Hence the equation is:

y = 962x - 5119.

More can be learned about tangent lines at brainly.com/question/8174665

#SPJ1

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Answer:

24

Step-by-step explanation:

-3(1(-8))

1x(-8) = -8

-3 x -8 =24

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2 years ago
Raíz cuadrada de 100 es un numero​
Nonamiya [84]

Answer:

d

Step-by-step explanation:

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4. Hightop Roofing was $3765 in the "red" (owed creditors this amount) at the end of
gulaghasi [49]

The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.

Step-by-step explanation:

Amount owed at the end of June = $3765

Amount owed at the end of December = $8765

As Hightop Roofing owed creditors the amount, therefore, we will consider the amount as negative, therefore,

Amount in June = -3765

Amount in December = -8765

To see the difference, we will subtract the amount owed in June from the amount owed in December.

Difference=(-8765)-(-3765)\\Difference=-8765+3765\\Difference=-5000

The negative sign shows that they still owed $5000 to the creditors which shows a loss of money between June and December.

Keywords: difference, loss

Learn more about losses at:

  • brainly.com/question/10666510
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#LearnwithBrainly

4 0
3 years ago
Tom drank 1 1/4 quarts of water and his sister Jane drank 1.75 quarts of water. Write the amount that Jane drank using a
Andreyy89

Answer:

Jane drank 1 3/4 quarts of water.

Jane drank more water than Tom

Step-by-step explanation:

Tom drank  = 1 1/4 quarts of water

Jane drank = 1.75 quarts of water

We have to write the amount of water Jane drank in fraction.

There are some steps to convert decimal into fraction.

Step 1:

Value is 1.75:

Put the 1 aside and just work on 0.75

Write down the decimal value divided by 1

Like, 0.75/1

Step 2:

Now multiply both the numerator and denominator by 100.

We will multiply the numerator and denominator by 100 because 1.75 has two values after the decimal.

0.75 *100/1*100

75/100

Step 3:

Simplify the fraction.

divide the fraction by 5.

=15/20

=3/4

Now bring back the 1: and the fraction will become.

1 3/4

Jane drank 1 3/4 quarts of water.

Now who drank more water?

<u>Jane drank more water than Tom</u>

<u>Reason:</u>

Tom drank 1 1/4 = 5/4

Jane drank  1 3/4 = 7/4

Both the fractions have same denominator, so the value with the greater numerator drank more water than the other.

Therefore Jane drank more water than Tom....

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2 years ago
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Ksivusya [100]

Answer:

only AAS,ASA and SSA Are classified

It's false

Step-by-step explanation:

please mark me as brainlest

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1 year ago
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