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Yuri [45]
2 years ago
8

Question 3 of 10

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
6 0

Answer:

A) in Step 2

Step-by-step explanation:

Notice that x+6 and x-2 are factors of the expression, and they must be set equal to 0. The correct step would be x+6=0 and x-2=0. This student used the incorrect signs for the factors.

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find the local and/or absolute extrema for the function over the specified domain. (Order your answers from smallest to largest
Arlecino [84]

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

f(x)=x^{2}+8\:over\:[-1,4]

1) Calculating the first derivative

f'(x)=2x

2) Now, let's work to find the critical points

Set this

2x=0\\x=0    

0, belongs to the interval. Plug it in the original function

f(0)=(0)^2+8\\f(0)=8

3)  Making a table x, f(x) then compare

x|  f(x)

-1 | f(-1)=9  

0 | f(0)=8   Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.    

5 0
3 years ago
Find the Area. Use 3.14 for Pi. Label your answer with ft2.
aivan3 [116]

Answer:

133.04ft²

Step-by-step explanation:

Area of a circle is:

A=\pi r^2\\\\r - \text{Radius.}

We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.

Using 3.14 for pi:

A=3.14(6)^2\\\\A=3.14*36\\\\A\text{ } $$\approx$$\text{ }113.04

The area is appropriately 133.04ft².

Hope this helps.

8 0
3 years ago
Read 2 more answers
6. A coupon offers $1.00 off the 16-ounce size. Which size is the better<br><br> buy then?
svlad2 [7]

Answer:

Both sizes are better because they cost Same.

Step-by-step explanation:

Consider the provided information.

A coupon offers $1.00 off the 16

            Quantity     Price

Pint           16           $3.98

Quart        32           $5.98

If he gets $1 off for the 16-ounce size. The price will be:

3.98-1=2.98

He needs to pay $2.98 for 16-ounce pint.

Now find which one is better by calculating the unit rate.

\frac{Cost}{weight}=\frac{2.98 }{16}\approx0.186

Therefore, the cost of 1lb would be $0.186

For Quart 32 find the unit rate as shown:

\frac{Cost}{weight}=\frac{5.98}{32}\approx0.186

Therefore, the cost of 1lb would be $0.186

Hence, both of the size are better as the unit rate is same.

4 0
4 years ago
Nicole runs each lap in 4 minutes. She will run more than 24 minutes today. What are the possible numbers of laps she will run t
sdas [7]

7 or more laps. you can find this by multiplying 6 x 4 & anything above that would work too

7 0
3 years ago
Read 2 more answers
The farmer needed to fertilize 520 apple trees. He fertilized 20
grigory [225]

Answer: 40 is the answer

Step-by-step explanation:

Farmer fertilized 20  trees per day for 10 days=20*10=200

total trees- fertilized tree=leftover trees

520-200=left over trees

320=left over trees

per day fertilized tree=left over trees /8

per day fertilized trees=320/8

per day fertilized trees=40

If this answer help you mark me brainlist

3 0
3 years ago
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