Mathematics College

F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please

Answers

Answer 1

Answer: -22

Step-by-step explanation:

first let's plug in -10 to the f(x) function.

F(-10) = 3(-10) + 10 = -30 +10 = -20

Now we plug in -20 into the g(x) function

g(-20) = -20 -2 = -22

Answer 2

Answer:

If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2

UwU

Related Questions

Determine if parallel, perpendicular, or neither.

3y+x=12
-y=8x+1

Answers

Answer:

neither

Step-by-step explanation:

1. if to re-write the equation they will be (in standart form y=kx+b):

3y+x=12 ⇔ y=-1/3 x+12 and -y=8x+1 ⇔ y= -8x-1

2. if the lines are parallel, then k₁=k₂, but k₁=-1/3 and k₂=-8 (k₁≠k₂);

3. if the lines are perpendicular, then k₁*k₂= -1, but k₁*k₂=8/3≠ -1;

4. finally, neither.

A pair of shoes is on sale for 15% off.With this discount,customers will save $9 if they buy the shoes.What was the original price of the shoes?

Answers

15 percent off 9.00 is 7.65

Step-by-step explanation:

The difference is 1.35

A certain plant grows 1 1/6 inches every week. How long will it take the plant to grow 4 1/6 inches?

Answers

Answer:

3 weeks and 4 days.

Step-by-step explanation:

If the plant grows 1 1/6 inches every week, then that means 1/6 inch everyday. 1 1/6 x 3 = 3 3/6

3 3/6 + (1/6 x 4) = 4 1/6

3 weeks and 4 days

3 weeks , 4 days. does it ask to show your work or ask for an explanation..?

If f(x) = 22 +3 and g(2) = 32 – 2, then what is (f.g)(x)?

Answers

Answer:

(22+32) (3) I think

Step-by-step explanation:

Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?

Answers

Answer:

(7;1)

Step-by-step explanation:

The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.

However the ordinate of the point B' will have the opposite sign as ardinate B. However the module of ordinate B' is going to be the same as module of orrdinate B.

(7,1) because when you reflect over the x axis you will change the value of y, and vice versa

simplify this complex fraction 4/3/2/5

Answers

Answer:

If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3

Step-by-step explanation:

4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no

Answers

Answer:

Step-by-step explanation:

Given function is h(t) = -16t² + 1500

a). For h(t) = 1000 feet,

1000 = -16t² + 1500

1000 - 1500 = -16t² + 1500 - 1500

-500 = -16t²

t² = [tex]\frac{500}{16}[/tex]

t = [tex]\sqrt{31.25}[/tex]

t = 5.59 sec

b). For h(t) = 940 feet,

940 = -16t² + 1500

940 - 1500 = -16t² + 1500 - 1500

-16t² = -560

t² = [tex]\frac{-560}{-16}[/tex]

t = [tex]\sqrt{35}[/tex]

t = 5.92 sec

c). For domain and range of the function,

When the jumper comes down to the ground,

h = 0

0 =-16t² + 1500

t² = [tex]\frac{1500}{16}[/tex]

t = [tex]\sqrt{93.75}[/tex]

t = 9.68 sec

Since, x-values on the graph vary from x = 0 to x = 9.68,

Domain : [0, 9.68]

Vertex of the quadratic function: (0, 1500)

Since, coefficient of the highest degree term is negative, parabola will open downwards.

Therefore, y-values of the function will vary in the interval y = 0 to y = 1500

Range: [0, 1500]

Please hurry please

Answers

Answer:yes

Step-by-step explanation:

44/4=11

Answer:

x = -7/2

Step-by-step explanation:

( x + 9 ) - ( x -2 )=

2x +7 =

2x = -7

x = -7/2

Helppp ASAP. Emma wants to enlarge a square photo and print it to a square canvas. The side
length of the canvas is 12 in. The scale from the canvas to the photo is 4 in. to 1 in.
What is the side length of Emma's photo? Show your work.

Answers

The side length is 3in. Divide 12 inches by 4 inches, and you get 3. Multiply 3 by the conversion (1 inch), and you will get 3 inches.

the product of the sum and the difference of 8x and 4y

Answers

Answer:

Step-by-step explanation:

o dont really know. I dont understand the question

You can’t solve this because you can’t add or subtract different variables. However you can multiply different variables and it’ll give you 32xy

Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.

Which statement is true?

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 3 votes.

For every vote Phil received, Natalie received 3 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 3 votes.

Answers

Answer:

Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.

Step-by-step explanation:

as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m

Answers

Answer:

The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please

Answer:

m= 4 months

Step-by-step explanation:

divide and subtract them numbers

Divide. Express your answer in simplest form. ○14 ○ 49 ○98 ○28

Answers

Answer: 49

see below for work

Answer:

gang gang

Step-by-step explanation:

what is an equation for the translation of y=|x| left 7 units?

Answers

Answer:

y,x-7

Step-by-step explanation:

I think this is it

Answer:

y=x-7

Step-by-step explanation:

Someone please help thank you ! With full answers

Answers

Height is V/pi*r²..............

Answer:

[tex]A) h=\frac{V}{\pi r^2}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]

Solve five and three sixths minus two and one third.

(GIVING BRAINLIEST AND EXTRA POINTS ON THIS ONE!! PLS HELP ASAP!)

A) Two and three eighteenths

B) two and two ninths

C) three and two ninths

D) three and three eighteenths

(Here is an image if needed) :

Answers

Answer:

3 3/18

Step-by-step explanation:

5 3/6-2 1/3

We first need to turn our mixed numbers into fractions by multiplying the while number by the denominator, then adding the numerator. When we do this, 5 3/6 turns into 33/6 and 2 1/3 turns into 7/3. Now we have this:

33/6-7/3

Now we need to find the Least common multiple of the denominators in order to find our common denominator, which in this case is 6. 33/6 already has a denominator of 6, so we do not need to do anything to it. To give a denominator of 6 to 7/3, however, we must multiply by 2, giving us this:

33/6-14/6

Now we can subtract the numerators.

19/6

To turn this back into a mixed number, we divide 19 by 6, which gives us 3 with a remainder of 1. Therefore, our answer is 3 1/6. This is an equivalent fraction to the fourth answer, 3 3/18.

HTH :)

Answer:

3 3/18

Step-by-step explanation:

V = 4 + at, solve for A

Answers

Answer:

a=v-4

Step-by-step explanation:

The regular price of an item is $109.99. It is marked 25% off. Find the discount and the sale price to the nearest cent.

Answers

Answer:

The discount price is $27.50

The sale price of item is $82.49

Step-by-step explanation:

Regular price of item = $109.99

Discount = 25%

We need to find discount and the sale price to the nearest cent.

Finding Discount Price

First we need to find 25% of 109.99 which is the discount price

[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]

The discount price is $27.50

Now, finding Sale price

Sale Price= Regular Price - Discount Price

Sale Price= 109.99 - 27.50

Sale Price = 82.49

The sale price of item is $82.49

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

its one hour but I don't know the minutes
Its not 5 min

Answers

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Divide total seeds by seeds per package:

1960 / 35 = 56

56 packages can be made.

Nicki's class needs to raise 89.45 in order to have a pizza party so far she has 69.90 how much more money does Nicki's class need to buy the pizza party?

Answers

Subract 89.45 by 69.90
89.45 - 69.90= $19.55

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F(x)=3x+10 g(x)= x-2 Find g(f(-10)) Solve please

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F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please