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kifflom [539]
3 years ago
5

Givenf(x)=6(8−x)+5. (a) What does the notation f (−2) mean? (b) What is the value of f (−2) ?

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

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valentina_108 [34]

Answer:

Yes, the distance from the origin to the point (8,√17) is 9 units.

Step-by-step explanation:

The equation of a circle centered at the origin with radius , r has equation:

{x}^{2}  +  {y}^{2}  =  {r}^{2}

Since the circle passes through (0,-9), the radius is 9 units because (0,-9) is 9 units from the origin.

We substitute the radius to get:

{x}^{2}  +  {y}^{2}  =  {9}^{2}

{x}^{2}  +  {y}^{2}  =  81

If (8,√17) lies on this circle, then it must satisfy this equation:

{8}^{2}  +  { (\sqrt{17} )}^{2}  = 64 + 17 = 81

This is True.

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6 0
3 years ago
Maya runs a farm stand that sells raspberries and blueberries. Each pound of
kkurt [141]

Answer:

30 pounds of raspberries and 50 pounds of blueberries

Step-by-step explanation:

Let's use b to represent blueberries and r for raspberries. Each pound of raspberries costs $1, so to find the total cost of raspberries we use 1r, which is just r. For blueberries, we do 3.25b.

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We can subtract the two equations we have made to eliminate the r and solve for b.

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We divide both sides by 2.25.

b=50

We know that r+b=80, so if b is 50 then r must be 30.

Have a wonderful day! :D

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