f(x)=x-7 and g(x)=2x-3
find f(g(4))

Answers

Answer 1

Answer:

f(g(4)) = -2

Step-by-step explanation:

First, find g(4) by plugging in 4 as x into the function:

g(x) = 2x - 3

g(4) = 2(4) - 3

g(4) = 8 - 3

g(4) = 5

f(g(4)) can be found by finding f(5), since g(4) = 5

Find f(5) by plugging in 5 into the function:

f(x)= x - 7

f(5) = 5 - 7

f(5) = -2

So, f(g(4)) = -2


Related Questions

if x is subtracted from 5 and the result is greater than 15. Find the range of values of x

Answers

Answer:

x<-10

Step-by-step explanation:

You can write this inequality:

5-x>15

Solving it:

5-x>15

-x>10

x<-10

evaluate the following algebraic expression for the given value of x.




4x-5 where x=5​

Answers

Answer:

15 is answers

x=5

Step-by-step explanation:

4x-5

4×5-5

20-5

15

Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number

Answers

Answer:

1 8/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

15/21+14/21=29/21

What is 5/10 = x/100

Answers

Answer:

= 50

Step-by-step explanation:

What the top guy said


Graph the linear function using slope intercept form
y=2x+6

Answers

Start in the middle and go up 6 then draw a dot, after that you go up two and right one and do it all the way you can and then to go the opposite way go down two and left one. Hope this helps
The slope will be 2 the y intercept will be (0,6)

A bakery sold 36 brownies in a day, which was 30% of the total items sold that day. What was the total number of items the bakery sold that day?

Answers

Answer:

120

Step-by-step explanation:

We know that 36 is 30% of total items

So our equation would be 36/? = 30/100

From there we cross multiply so 36x100 = 3600

From there, we divide 3600 by 100

Therefore, your answer is 120

WILL MARK BRAINLIST JUST ANSWER QUICKLY
A puddle originally contained 5 gallons of water. After a hot day, only 3.5 gallons of water remain.

What is the percent decrease?

Enter your answer in the box.

Answers

Answer:

The answer is 30%

Step-by-step explanation:

((5-3.5)/5) × 100%

Answer:

30%

Step-by-step explanation:

the other guy is right

Write the equation for the graphed function

Answers

Answer:

4x² + 16x + 15 = 0

Step-by-step explanation:

We'll begin by determining the solutions to the graph.

The solutions to the graph is obtained by taking the values where the graph cut through the x–axis. This is illustrated below:

The solutions to the graph are:

x = –1.5 or –2.5

Finally, we shall determine the equation for the graph as follow:

x = –1.5 or x = –2.5

x = –3/2 or x = –5/2

Cross multiply

2x = –3 or 2x = –5

Rearrange

2x + 3 = 0 or 2x + 5 = 0

Combine

(2x + 3)(2x + 5) = 0

Expand

2x(2x + 5) + 3(2x + 5) = 0

4x² + 10x + 6x + 15 = 0

4x² + 16x + 15 = 0

Thus, the equation for the graph is:

4x² + 16x + 15 = 0

Hi, can someone help me?​

Answers

Answer:

No, no puedo ayudarte aunque te deseo buena suerte

Answer:

the price !!

Step-by-step explanation:

the price of donut holes depends on the number of them!! you cant tell the price without the donuts !!

a way to think of it could be "the price can't exist without the product (the donuts) so, the price dependent on the donuts. its the dependent!"

i really hope this helps!

Your friend has one week to pay the $26 fine for a parking ticket. After that, the fine Increases $7 each week. ​

Answers

I don’t know what exactly you are trying to ask? But this equation would be an example of exponential growth.

solve and receive brain list ​

Answers

Answer:

x = 19/22

Step-by-step explanation:

8x-12+36x = 26

44x - 12 = 26

44x = 38 (add 12 on both sides)

x = 19/22 (divide bot sides by 44 and simplify)

In triangle DEF, if the measures of angles D and E are equal, and the measure of
angle F is 26, what are the measure of angles D and E?
Your answer


Answers

Answer:

77 = m∠D  =  m∠E

Step-by-step explanation:

In a triangle the sum of the measures of the angles = 180.  So m∠D  + m∠E + m∠F = 180

Let  m∠D = m∠E = x

Then x + x + 26 = 180

2x + 26 = 180

2x = 154

x = 77 = m∠D  =  m∠E

What is the value of x?

Answers

3x+84=180 minus 84
3x = 96 divide both sides by 3
x= 32°

A small water bottle holds 75% as much as a larger water bottle, if the smallholds 36 units, how much does a large hold

Answers

Answer:

48 units

Step-by-step explanation:

36 is 75% of what number

36 = .75n

n = 36/.75

n = 48

I need points because I’m 70 assignments behind

Use the coordinates of the labeled point to find the point-slope equation of
the line
812-18
O A. y + 1 = -2(x - 2)
O B. y-2-2(x+1)
O C. y- 1 = -2(x + 2)
O D. y-2 = 2(x + 1)

Answers

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

(0,3) and (2,-1) are points on the line.
slope = (-1-3)/(2-0) = -2


Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)

m = -2
(x₀, y₀) = (2,-1)
y+1 = -2(x-2)

Answer: y+1 = -2(x-2) is the correct answer

Step-by-step explanation: I just took the exam :)

What is the answer. I can’t figure out the formula

Answers

9514 1404 393

Answer:

Angles 4, 5, 6, 7, 8, 9 are 82°Angles 1, 2, 3, 10, 11, 12 are 98°

Step-by-step explanation:

Angles are related in this geometry by being either congruent or supplementary. Corresponding and vertical angles are congruent; any linear pair of angles is supplementary.

The given angle 5 is on the southwest corner of the intersection of the parallel line with the transversal. All southwest and northeast angles are congruent to that. That is, angles 4, 5, 6, 7, 8, 9 will all have the same measure. The remaining angles will have the supplementary measure.

Angles 4, 5, 6, 7, 8, 9 are 82°

Angles 1, 2, 3, 10, 11, 12 are 98°

_____

As you know, supplementary angles total 180°, so each is found by subtracting the other from 180°: 180° -82° = 98°.

The Maine Public Health Department reported that there have been 90 flu cases requiring hospitalization in Portland, ME (population of 70,000) since the beginning of 2018 - today is July 4th, 2018. On February 1st, 2018, 43 of those cases were hospitalized. What was the prevalence rate of flu cases requiring hospitalization thus far in 2018?

Answers

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

Solve the equation and show all your work. 7x = 4x + 15

Answers

Answer:

x=5

Step-by-step explanation:

subtract 4x from both sides

7x-4x=4x-4x+15

3x=15

divide by 3 on both sides

3x/3=15/3

x=5

Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)

Answers

Answer:

y = 2x² - 72 = 0

Step-by-step explanation:

2(x - 6)(x + 6) = 0

2(x² - 36) = 0

2x² - 72 = 0

The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.

A quadratic equation with roots at 6 and -6 can be written in factored form as:

(x - 6)(x + 6) = 0

To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:

2(x - 6)(x + 6) = 0

Expanding the equation:

2(x² - 36) = 0

Distributing the 2:

2x² - 72 = 0

Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:

2x² - 72 = 0

To know more about quadratic equation click here :

https://brainly.com/question/30111792

#SPJ2

Solve the following problems. Rajesh jogged 3/4 mile and then walked 1/6 mile to cool down . how far did he travel?

Answers

Answer: 11/12 or if you want to pit it in decimal

Use 0.90

Step-by-step explanation:

Derrick has 2 1/2 cups of sugar. He needs 1/8 of a cup of sugar for each recipe. How many recipes can be make

Answers

Answer:

20

Step-by-step explanation:

Which of these polygons is not a regular polygon?
B
С
D
А
B
A

Answers

Answer:

B. A regular polygon is a shape with sides that are all equal to each other.

We see that for shape B, the sides are not equal to each other, as some sides are longer than others.

Hope this helps!

please help me find this out please

Answers

Answer:

can you zoom in on the questions?

Step-by-step explanation:

A student council sells 44 bouquets for $176. Which equation represents the

relationship of x bouquets to y dollars?

Answers

Answer:

[tex]y = 4x[/tex]

Step-by-step explanation:

Given

[tex]x = 44[/tex]

[tex]y = 176[/tex]

Required

Determine the relationship between x and y

First, we calculate the unit rate, using:

[tex]y = kx[/tex]

Where k is the unit rate.

Substitute 176 for y and 44 for y

[tex]176 = k * 44[/tex]

Divide both sides by 44

[tex]\frac{176}{44} = \frac{44*k}{44}[/tex]

[tex]\frac{176}{44} = k[/tex]

[tex]4 = k[/tex]

[tex]k = 4[/tex]

Substitute 4 for k in [tex]y = kx[/tex]

[tex]y = 4x[/tex]

Hence, the relationship between x and y is: [tex]y = 4x[/tex]

In detail and with multiple examples, describe how you can use math in your daily life. it needs 15 to 16 sentence i will give you brainest help me plzzz

Answers

Well I can use math in my daily life is when I want to build a house bird for example or even cook and follow a recipe that has math in it , example is the measuring cups , how much needs to go in and all that. Even when building a house you need to use math, or working at a cash register , to be able to count the money you need to give back to the person or take. Another example is music aswell because you need to follow the numbers when playing an instrument, not much music but yeah. And a few more examples ; Managing money $$$
Balancing the checkbook
Shopping for the best price
Preparing food
Figuring out distance, time and cost for travel
Understanding loans for cars, trucks, homes, schooling or other purposes
Understanding sports (being a player and team statistics)
Playing music
Baking
Home decorating
Sewing
Gardening and landscaping.

Hope I was able to help!

determine whether a triangle with these side lengths would be acute, right, or obtuse: 5, 7, and 10;

Answers

Answer:

obtuse

Step-by-step explanation:

Let 5 = a, 7 = b, 10 = c

if a^2 + b^2 = c^2, then the triangle is a right triangle by the converse of the Pythagorean Theorem

If a^2 + b^2 > c^2, then the triangle is an acute triangle by Theorem 8-4

if a^2 + b^2 < c^2, then the triangle is an obtuse triangle by Theorem 8-3

a^2 = 25

b^2 = 49

c^2 = 100

25 + 49 < 100, therefore the triangle is an obtuse

Ms. Hart paid $300 for 6 admission tickets and a $15 parking pass for an amusement park.

What is the cost of one admission ticket?

The cost of one admission ticket is $

Answers

Answer:

The cost of one admission ticket is 47.5

Please show work so i know how you got your answer

Answers

Answer:

24

Step-by-step explanation:

7 5/6 x3 =23.5

Can someone please help me with continuity? I would like to check my work, I’m a bit confused on the differentiability part

Answers

For f to be continuous at some point x = c, you require that

f(c) exists and is finite, and

• the limits of f as x approaches c from either side match, and their value must be f(c)

For f to be differentiable at x = c, you require that

f is continuous at c (i.e. the above conditions are all met), and

• the derivative f ' is continuous at c

Without having the graph of f ', you can assess whether the last condition is met by some function by mentally tracing a tangent line to the graph as you get closer to c. If the slope of the tangent doesn't change, then the function is differentiable. This is usually accompanied by jumps or sharp corners in the graph.

Some examples:

• every polynomial is both continuous and differentiable

• the absolute value function |x| is continuous but not differentiable at x = 0

• 1/x is neither continuous nor differentiable at x = 0

(a) Neither continuous nor differentiable

Why? f has a vertical asymptote at x = -2 and f (-2) does not exist. f is not continuous, and therefore not differentiable.

(b) Neither continuous nor differentiable

Why? From the left, f is approaching 2.5, while from the right, it's approaching 5.

(c) Neither continuous nor differentiable

Why? The limits from either side of x = 2 match and are equal to 0.5, but f (2) itself does not exist (which is indicated by the point being a hollow circle).

If the circle was instead filled in, so that f (2) = 0.5, then f would be continuous there, but still not differentiable. Notice the sharp corner. Or, using the tangent-line analysis, the slope of the tangent to the left of x = 2 is negative, but to the right it would be positive.

(d) Both continuous and differentiable

Why? f doesn't have any special features at x = 3 that would suggest it's not continuous nor differentiable.

(e) Neither continuous nor differentiable

Why? Similar reasoning as in (a). There's another vertical asymptote, but the graph shows f (4) = 1. However, the limits from either side of x = 4 are positive infinity, not 1.

Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?

Answers

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

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