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OLga [1]
3 years ago
13

Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

    f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

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The perimeter of a rectangle is 100 and its length is x. What expression represents the width of the
Burka [1]
100*x I think I’m sorry that’s a poor answer I have done this in years
8 0
3 years ago
Question number 29 you work in the shipping department of an organic food company and need to calculate the net weight of a jar
umka2103 [35]

The net weight of a jar of raspberry preserves will be 4.45 ounces.

The volume of the cylinder can be calculated as the product of the base of the cylinder and the height of cylinder.

The volume of cylinder= base of cylinder * height of the cylinder

⇒ volume of cylinder = πd²*h/4

Here, given that

the inside diameter of the cylinder is 1.5 inches.

d= 1.5 inches

the inside height of the cylinder is 4.75 inches.

h= 4.75 inches

putting these above values for calculating the volume of the cylinder

Volume =V = πd²*h/4

⇒ V= π*(1.5)²*4.75/4

⇒V = 8.40 cube inches

Given that the raspberry preserve weighs 0.53 ounces per one cubic.

for one cubic the weight is 0.53 ounces

for 8.40 cubic the weight will be 8.40*0.53= 4.45 ounces

Therefore The net weight of a jar of raspberry preserves will be 4.45 ounces.

Learn more about volume of the cylinder

here: brainly.com/question/9554871

#SPJ10

5 0
2 years ago
*WILL GIVEE BRAINLIEST FOR THE BEST ANSWER* Which of the following is NOT a biased sample?
Dafna1 [17]

Answer:

A

Step-by-step explanation:

All other options are more biased

In B, the official wants to use 50 people from a library to represent the <u>entire town's</u> opinion on the library itself.... that's biased.

In C, it's the same. Of course basketball players would like to watch basketball.... right?? That's why the choice is biased.

In D, the location is a deli.... and from experience people order meat at a deli... cuz why else go there?

8 0
3 years ago
5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat
frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

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6 0
3 years ago
Help 10 points hfhdjhdjfjhhjfdhjjhfhdjdjj
Anarel [89]
The answer to this question is D
6 0
3 years ago
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