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timurjin [86]
2 years ago
12

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Mathematics
1 answer:
ratelena [41]2 years ago
4 0

For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.

<h3>Over which interval the rate of change is zero?</h3>

For a function f(x) we define the average rate of change over the interval (a, b) is defined as:

R = (f(b) - f(a))/(b - a)

Here the function is:

f(x) = x^2 - x  -1

And the rate of change will be zero on an interval (a, b) if and only if:

f(b) = f(a).

Notice that the first interval is (-1, 2)

f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1

f(2) = 2^2 - 2 - 1 = 4 - 2 - 1  =1

Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.

If you want to learn more about average rate of change:

brainly.com/question/23483858

#SPJ1

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4x +6y =0
PSYCHO15rus [73]
Here, x - 2y = 14
x = 14 + 2y

Now, substitute this value into first equation, 
4x + 6y = 0
4(14 + 2y) + 6y = 0
56 + 8y + 6y = 0
14y = -56
y = -56/14
y = -4

Substitute it into second equation, 
x = 14 + 2(-4)
x = 14 - 8
x = 6

In short, Your Answer would be: (6, -4)

Hope this helps!
4 0
3 years ago
Read 2 more answers
Based on housing data below which equation can be used to calculate fair housing prices?
VMariaS [17]

Answer:

B. y = 0.097x + 11.142

Step-by-step explanation:

In order to find the best equation to descibe the housing price, we have to calculate the slope of the line  first.

The equation of the line can be written as

y=mx+q

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In order to have the most accurate estimate for the slope, we use the first point and the last point, that are:

(1900, 196)

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Therefore, the correct option is the only one having a slope of 0.097, which is:

B. y = 0.097x + 11.142

5 0
3 years ago
What is the distance between the points (10,6) and (1,4)? If necessary, round
ale4655 [162]

Answer:

The correct answer is A

Step-by-step explanation:

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6 0
2 years ago
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Find the volume of the pentagonal prism?<br><br> please help me
NikAS [45]

Answer:

126 cm^3

Step-by-step explanation:

Use volume formula (Bh=V): 21×6=126

4 0
3 years ago
What are the coefficients in the expression -8y² + 12x + 5y 7?
kow [346]
<span> Coefficients are numbers used to multiply a variable.
IN this case, the coefficients are -8, 12 and 5.

</span>
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