For all values of x,
f(x) = x/5 + 3
and
g(x) = 10x2 + 5
Work out fg(x).
Give your answer in the form ax2 + b where a and b are integers.

Answer:

C

Step-by-step explanation:

================================================

Work Shown:

Compute the function value at the endpoints

[tex]f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\[/tex]

With a = -5 and b = 4, we have

[tex]f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\[/tex]

So,

[tex]f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\[/tex]

Use algebra to solve for c

[tex]-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\[/tex]

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

https://brainly.com/question/21961097

#SPJ5

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

Answer:

m = -10

Step-by-step explanation:

>:)

Answer:

m= -10

Step-by-step explanation:

2< -7 - (-10)

2< -7 + 10

2< 3

Answer:

x is greater than zero c is correct

Answer:

x=17

Step-by-step explanation:

1: Simplify both sides of the equation.

8x−9+53=180

8x+−9+53=180

(8x)+(−9+53)=180(Combine Like Terms)

8x+44=180

8x+44=180

2: Subtract 44 from both sides.

8x+44−44=180−44

8x=136

3: Divide both sides by 8.

(8x=136 )/8

x=17

Answer:

72.

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

1. 4x+36

2. -6x+12

and aww your pfp

11, 12, 13

Step-by-step explanation:

gb ndndhdyydhsbdgr

Answer:

0.30715935334

Step-by-step explanation:

8/6 ÷ 13/3

1.33÷ 4.33

0.30715935334

Answer:

4/13

Step-by-step explanation:

i know im 6 days late but i tried to find this answer but i got it wrong so 4/13 is the answer(im answering this incase if someone else is looking for the answer)

Answer: 56

Step-by-step explanation:

Given that :

Marbles in bag are only red and blue ;

Probability of randomly choosing a red = 2/7

Number of red marbles in bag = 16

The total Number of marbles =?

P(choosing a red marble) = required outcome / Total possible outcomes

Required outcome = number of red marbles

Total possible outcomes = total number of blue and red marbles

Total number of blue and red marbles = x

P(choosing a red marble) = required outcome / Total possible outcomes

2/7 = 16 / x

Cross multiply

2x = 16 * 7

2x = 112

x = 112 / 2

x = 56 marbles

Total number of marbles = 56

Answer:

the lowest amount mia can spend is $75

Step-by-step explanation:

3x12=36

12x3+15 this is for the noise makers

9 x 4= 36

15 x 4 = 60

60+15=75

she will spend 75 dollars on party suplies

Answer:

Step-by-step explanation:

a²-b²=(a+b)(a-b)

x²-25=0

x²-5²=0

(x+5)(x-5)=0

x=-5,5

Answer:

11

Explanation:

Because 57 minus 2 games already equals 55, so 55 games divided by 5 months equals 11, so 11 games each month will get u to 57.

The number of games must his team win per month will be;

⇒ x > 11

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

Steve Conway wants his team to win more than 57 games this year.

And, His team has already won 2 games this season and there are 5 more months to play.

Now,

Let number of games must his team win per month = x

So, We can formulate the inequality as;

⇒ 5x + 2 > 57

Solve for x as;

⇒ 5x > 57 - 2

⇒ 5x > 55

⇒ x > 11

Thus, The number of games must his team win per month will be;

⇒ x > 11

Learn more about the inequality visit:

https://brainly.com/question/25275758

#SPJ2

F(-2) means to replace x in the equation with -2 and then solve.

5(-2) +8 = -10 + 8 = -2

The answer is -2

Answer:

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Step-by-step explanation:

We need to find mistake make in work below:

[tex](-2x^4)^4=-16x^{16}[/tex]

The mistake here is when we have even power, the negative sign gets positive i.e [tex](-a)^m=a^m[/tex] if m is even

so, in our case it would be:

[tex](-2x^4)^4=16x^{16}[/tex]

The correct choice is:

-2 to the 4th power is positive 16.

Option C is correct.

Answer: C. Mount Everest is about 23 times as tall as the Empire State Building

Step-by-step explanation:

The options are:

A.There is no way to compare these heights

B.Mount Everest is about 40 times as tall as the Empire State Building

C.Mount Everest is about 23 times as tall as the Empire State Building

D.The Empire State Building is about 23 times as tall as Mount Everest

Mount Everest = 8.8×10^3 meters = 8800 meters

Empire State Building = 3.8×10^2 = 380 meters

Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.

Answer:

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Answer:

3x6

Step-by-step explanation:

Answer:

i think 2\

Step-by-step explanation:

Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

Answer:

200 mps

Step-by-step explanation:

Answer:

200m

Step-by-step explanation:

The formula for speed is:

Speed= Distance/Time

So time to solve:

speed=2000/10

          =200

speed=200

Step-by-step explanation:

A = 6(90-A)-43 Simplify and solve for A.

A = 540-6A-43

A = 497-6A Add 6A to both sides.

7A = 497 Divide both sides by 7.

A = 71 degrees

The complement of A = 90-A = 09-71 = 19

Hope this help :)

Answer:

The solution is x = 8.

Step-by-step explanation:

Answer: No.

Reason: (-1, -3) is (x, y) so, let's find -1 on the X scale first. Alright, -1 is in the blue, which is a great start. Now, it's -3 on the Y portion. And when you graph that, it's not in the blue shaded area, so no, it's not a solution. (TIP: Solution is the Shaded Area)

Answer:

125

Step-by-step explanation:

C : F

10: 25

×5: ×5

50: ?

No. of fish in the tank = 25 × 5

                                    = 125

Answer:

1+5=6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%

Answer:

Step-by-step explanation:

Distance covered = speed × time.

Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.

This means distance covered while running would be

3.8 × 1/2 = 1.9 meters

Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be

1.5 × 1/2 = 0.75 meters

Total distance that Sasha covered while running and walking in 60 minutes would be

1.9 + 0.75 = 2.65 meters

Step-by-step explanation:

Answer:

2: it describes the distance between 6 and -6 on the number line.