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3 years ago

X +105 x+95 solve for x

Mathematics

1 answer:

muminat3 years ago

3 0

Answer:

x=20

Step-by-step explanation:

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F(x)=x^2+10 Over which interval does fff have a positive average rate of change?

ohaa [14]

Answer:

(0, inf)

Step-by-step explanation:

The average rate of change of a function is related to it's first derivative. When the first derivative is positive, the average rate of change is positive, which means that the function is crescent.

Now, when the first derivative is negative, the average rate of change will be negative too, and the function is going to be decrescent.

In your function.

We have: f'(x) = 2x

2x > 0 when x > 0. So when x > 0 the average rate of change of your function is positive, and it's values increases as the time increases. When x < 0, the average rate of change is negative, so, as the time increases, the values of f decrease.

You can use a graphic tool to plot f and visualize this better.

6 0

3 years ago

Read 2 more answers

Which linear function represents the table?

lara31 [8.8K]

Answer:

A) y= 5x - 3

Step-by-step explanation:

(5 • x) - 3 = y

Problem Solving:

5 • -6 = -30 - 3 = -33

5 • 3 = 15 - 3 = 12

5 • 9 = 45 - 3 = 42

5 • -4 = -20 - 3 = -23

5 • -5 = -25 - 3 = -28

5 0

3 years ago

Read 2 more answers

The Lopez family and the Russell family each used their sprinklers last summer. The water output rate for the Lopez family's spr

grin007 [14]

L = hours used by the Lopez's sprinkler

R = hours used by the Russell's sprinkler

so, we know the Lopez's sprinkler uses 15 Liters per hour, so say after 1 hour it has used 15(1), after 2 hours it has used 15(2), after 3 hours it has used 15(3) liters and after L hours it has used then 15(L) or 15L.

likewise, the Russell's sprinkler, after R hours it has used 40R, since it uses 40 Liters per hour.

we know that both sprinklers combined went on and on for 45 hours, therefore whatever L and R are, L + R = 45.

we also know that the output on those 45 hours was 1050 Liters, therefore, we know that 15L + 40R = 1050.

$\bf \begin{cases}
L+R=45\implies \boxed{L}=45-R\\
15L+40R=1050\\
----------\\
15\left(\boxed{45-R} \right)+40R=1050
\end{cases}
\\\\\\
675-15R+40R=1050\implies 25R=375\implies R=\cfrac{375}{25}\\\\\\ R=15$

how long was the Lopez's on for? well, L = 45 - R.

7 0

4 years ago

Find the area of the figure

Ivenika [448]

So it's best in this case to separate both shapes so you have a rectangle and a triangle so to solve the area of a rectangle you do
The following ( picture )
So I hope this helps

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3 years ago

Distribute (x+2)(x+9) a) x^2+15x+18 b) x^2+6x+11 c) x^2+7x+9 d) x^2+11x+18

Natasha2012 [34]

i hope this helps! let me know if you want me to explain more. sorry the picture is a little blurry

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3 years ago