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sesenic [268]
3 years ago
8

Alexis exercises 75 minutes a day. She does weight training, which burns an average of 7.5 calories per minute. Write a polynomi

al to represent the amount of calories Alexis burns in one day if she does x minutes of weight training?
Mathematics
1 answer:
Natali [406]3 years ago
7 0
7.5 multipled by 75 is 562.5 cal. per day 
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Find a single expression that represents the distance from Adam's house to the corner if the distance between Adam's house and J
Ostrovityanka [42]
Jim's house to the corner is A. Adam's house to the corner is B. Adam's to Jim's is C.

(AxA)+(BxB)=(CxC). 

(15x-7)(15x-7) = 225x^2-210x+49 = (AxA)
(23x-2)(23x-2) = 529x^2-92x+4 = (CxC)

(CxC)-(AxA) = (BxB)

529x^2-92x+4-225x^2-210+49 = 304x^2-118x-45

so (BxB) = 304x^2-118x-45
now we would factor that expression but this one isn't factorable.

so your final answer for the distance from Adam's house to the corner is the square root of 304x^2-118x-45. 


8 0
3 years ago
Given the function f(x) = x² + 3x - 2 What is the average rate of change for the function from 2 to 6? Show your work.
11Alexandr11 [23.1K]

The average rate of change is 11

Explanation:

The given function is f(x)=x^{2}+3 x-2

We need to determine the average rate of change for the function from 2 to 6

The average rate of change can be determined using the formula,

\frac{f(b)-f(a)}{b-a}

where a=2 and b=6

Now, we shall determine the values of f(2) and f(6) by substituting the values for x = 2 and x = 6 in the function f(x)=x^{2}+3 x-2

Thus, we have,

f(2)=2^{2}+3 (2)-2

       =4+6-2

f(2)=8

Similarly, substituting x = 6, we get,

f(6)=6^{2}+3 (6)-2

       =36+18-2

f(6)=52

Hence, substituting these values in the formula \frac{f(b)-f(a)}{b-a} , we get,

\frac{f(b)-f(a)}{b-a}=\frac{52-8}{6-2}

Simplifying, we get,

\frac{f(b)-f(a)}{b-a}=\frac{44}{4}=11

Thus, the average rate of change for the function from 2 to 6 is 11

7 0
3 years ago
Determine whether the relation is a function.
Valentin [98]

Answer:

Im not really sure but take c & d out cuz they are wrong so it would just b and a but Id say it is A:)

3 0
2 years ago
If you dont give fake answers, next qeustion will be more points
aleksandr82 [10.1K]
Whats the question




?
6 0
3 years ago
Read 2 more answers
Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b
julia-pushkina [17]
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

381+24.77=405.77

So now we know that Jon's total bill for these items is $405.77.
4 0
3 years ago
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