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Alekssandra [29.7K]
4 years ago
7

3 6 12 24 48 sequence

Mathematics
1 answer:
Nastasia [14]4 years ago
3 0
The sequence is 2n if we're finding a pattern. multiply the previous number by 2 to get the next.
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(1 point) Consider the function f(x)=2x3−9x2−60x+1 on the interval [−4,9]. Find the average or mean slope of the function on thi
OlgaM077 [116]

Answer: c = 4.97 and c = -1.97

Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

f'(c) = \frac{f(b)-f(a)}{b-a}

So, for the function f(x) = 2x^{3}-9x^{2}-60x+1 on interval [-4,9]

f'(x) = 6x^{2}-18x-60

f(-4) = 2.(-4)^{3}-9.(-4)^{2}-60.(-4)+1

f(-4) = 113

f(9) = 2.(9)^{3}-9.(9)^{2}-60.(9)+1

f(9) = 100

Calculating average:

6c^{2}-18c-60 = \frac{100-113}{9-(-4)}

6c^{2}-18c-60 = -1

6c^{2}-18c-59 = 0

Resolving through Bhaskara:

c = \frac{18+\sqrt{1740} }{12}

c = \frac{18+41.71 }{12} = 4.97

c = \frac{18-41.71 }{12} = -1.97

<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>

7 0
4 years ago
Write the equation of a line that is parallel to y = -x + 7
Gnoma [55]

Answer:

y= -x-3

Step-by-step explanation:

A line is parallel to another line if their slope is the same. In this case the slope is -1 (-x is basically -1x). So far we have y=-x+b (We dont know what b is yet). next we can insert the coordinate back into the equation y=-x+b where 1 is the y and -4 is the x.

We get...

y= -x+b

1= -(-4)+b

1=4+b

b=-3

Our final equation is y=-x-3

Hope this helped

4 0
3 years ago
What is the solution to the system of linear equations graphed below?
Elan Coil [88]

Answer: the answer should be B

Step-by-step explanation:

3 0
4 years ago
Plss help ill mark brainlist
erastovalidia [21]

Answer:

You need to figure out how much steak per person (15 ounces/ 4 people = 3.75 ounces per person) then multiply 3.75 * 10 people = 37.5 ounces if you need pounds then divide it by 15 to get the number of pounds.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
5/8 - (-2/8)<br><br>A. -3/8<br>B. -7/8<br>C. 3/8<br>D. 7/8
In-s [12.5K]
D. 7/8

-BrainlyStudent1st

Your Welcome!!
6 0
4 years ago
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