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AlladinOne [14]
1 year ago
6

If f(x) = x/2 + 8, what is f(x) when x=10?

Mathematics
1 answer:
aniked [119]1 year ago
8 0

In order to find the value of f(x) when x = 10, we just need to use this value of in the equation and then calculate its value:

\begin{gathered} f(x)=\frac{x}{2}+8 \\ f(10)=\frac{10}{2}+8 \\ f(10)=5+8 \\ f(10)=13 \end{gathered}

So the value of f(x) when x = 10 is 13, therefore the answer is the third option.

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Lana makes $8 an hour plus $12 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week.
Ierofanga [76]

Answer:

A:  W = 8x

B:  12y + 320

C:  44

Step-by-step explanation:

A:  Lana can make $8 an hour.

W = 8x

B:  She makes $12 per hour for every hour of overtime.  This means that she already worked 40 hours with regular pay.  She has already made $320.

40 × $8 = $320

S = 12y + 320

C:  Plug in the amount Lana earned into the second equation.  The second equation will account for pay from both regular and overtime hours.

S = 12y + 320

368 = 12y + 320

368 - 320 = (12y + 320) - 320

48 = 12y

48/12 = (12y)/12

4 = y

y = 4

Lana worked 4 hours of overtime and 40 hours of regular hours.  In total, she worked 44 hours.

4 + 40 = 44

4 0
3 years ago
Read 2 more answers
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
Identify intervals on which the function is increasing, decreasing, or constant.
tigry1 [53]
G ( x ) = 2 - ( x - 7 )²
g ( x ) = 2 - ( x² - 14 x + 49 )
g ( x ) = 2 - x² + 14 x - 49
g ( x ) = - x² + 14 x - 47
The maximum of the function is at:
x= - b / 2 a
x = - 14 / ( - 2 ) = 7
Therefore the function is increasing form x ∈ ( - ∞, 7 ) and decreasing for x ∈ ( 7, +∞ ).
Answer:
C.   increasing, x < 7; decreasing x > 7.
3 0
2 years ago
Find the missing side length <br> I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER
IrinaVladis [17]

Answer:

Step-by-step explanation:

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2 years ago
Amelia competed in a race in which she ran at a constant speed. A graph that represents the relationship between the number of s
Zolol [24]

Answer:

B (3, 13.5)

Step-by-step explanation:

Using point (0,0) and (15, 67.5) we can find the slope(gradient).

(y - y¹) / (x - x¹) = (67.5 - 0) / (15 - 0)

= 67.5 / 15 = 4.5

slope = 4.5

using the point given in option A (0, 4.5) with point (15, 67.5) to calculate the slope it gives 4.2 which is not equal to what we calculated.

using the option B (3, 13.5) with (15, 67.5) gives a slope of 4.5 which is equal to the slope of the line.

3 0
3 years ago
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