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:
.
In this problem, the function is:

Hence the derivative is:

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
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Answer:
a. 135 is correct
Step-by-step explanation:
We have the following information:
dogs lover: 150
cats lover: 120
as the null hypothesis:
H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:
f = (150 + 120) / 2
f = 270/2 = 135
so option a. 135 is correct
Answer: yes it is
Step-by-step explanation:
Power=work/time
Fd/t=P
Pt/F=d
therefore, the answer is A
The correct question is
<span>Between what two consecutive integers does Square Root Of 35 lie?
</span>
we know that
I <span>need to find two numbers </span>n<span> and </span>m<span> such that
</span>n < (√35)< m ---------> n² < 35 < m²
<span>list the first squares
</span>1²<span>=1</span>;
2²<span>=4</span>;
3²<span>=9</span>;
4²<span>=16</span>;
5²<span>=25</span>;
6²<span>=36</span><span>...
</span>So,
you can see that <span>n=5</span><span> and </span><span>m=6</span><span> satisfy the request
</span>
the answer is
5 and 6