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Crank
2 years ago
11

HELP ASAP!!! 40 POINTS

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
8 0

Using derivatives, it is found that the x-values in which the slope belong to the interval (-1,1) are in the following interval:

(-15,-10).

<h3>What is the slope of the tangent line to a function f(x) at point x = x0?</h3>

It is given by the derivative at x = x0, that is:

m = f^{\prime}(x_0).

In this problem, the function is:

f(x) = 0.2x^2 + 5x - 12

Hence the derivative is:

f^{\prime}(x) = 0.4x + 5

For a slope of -1, we have that:

0.4x + 5 = -1

0.4x = -6

x = -15.

For a slope of 1, we have that:

0.4x + 5 = 1.

0.4x = -4

x = -10

Hence the interval is:

(-15,-10).

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

#SPJ1

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If DE≅EF, CD = v + 45, and CF = 4v, what is the value of v?
irinina [24]

Answer:

<h2><u>since </u><u>DE≅EF</u></h2>

<u>CD=</u><u>CF </u><u>(</u><u>cpct)</u>

<u>v + 45 = 4v \\ 4v - v = 45 \\ 3v = 45 \\ v =  \frac{45}{3}  \\  v = 15</u>

<h2><u>hope</u><u> it</u><u> helps</u><u> you</u><u><</u><u>3</u></h2>
3 0
2 years ago
The lines represented by the equations y = -X – 3 and
xz_007 [3.2K]

The equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

<h3>What is linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two equation of the line:

y = -x -3 and

5y + 5x = -15

From the equation 5y + 5x = -15:

Divide by 5 on the above equation:

y + x = -3

or

y = -x -3

The two equations y = -x -3 represents the same line.

Thus, the equations y = -x -3 and 5y + 5x = -15 represents the same line option 'the same line' is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

3 0
1 year ago
I am a 2 digit even mumber i am less than 60 add my digits to get 12 subtract one of my digits from the other to get 4 what mumb
True [87]

I THINK THE ANSWER IS 12

6 0
3 years ago
What is the mean absolute deviation 1122333456
MakcuM [25]
1.2.

Hope this helps.
7 0
2 years ago
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 376 people entered the park, a
tatiyna

Answer:180 adults were admitted.

Step-by-step explanation:

Let x represent the number of children that were admitted into the park.

Let y represent the number of adults that were admitted into the park.

The admission fee at the amusement park is $1.50 for children and $4 for adults.

The admission fees collected totaled 1,014.00 dollars. This means that

1.5x + 4y = 1014 - - - - - - - - - -1

On a certain day, 376 people entered the park. This means that

x + y = 376

Substituting x = 376 - y into equation 1, it becomes

1.5(376 - y) + 4y = 1014

564 - 1.5y + 4y = 1014

- 1.5y + 4y = 1014 - 564

2.5y = 450

y = 450/2.5 = 180

Substituting y = 180 into x = 376 - y, it becomes

x = 376 - 180 = 196

7 0
3 years ago
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