if f(x)=g(x)-10 and g(x)=3x-18 then what would the equation
represent f(x)

Answers

Answer 1

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28


Related Questions

He range R and the maximum height H of a projectile fired at an inclination θ to the horizontal with initial speed v0 are given by the formulas​ below, where g≈32.2 feet per second per second is the acceleration due to gravity. Complete parts A and B. R= 2v20sinθcosθ g H= v20sin2θ 2g

Answers

Answer:

A. R=1098.7ftB. H=274.7ft

Step-by-step explanation:

"The question is not complete, here is the complete question

The range R and the maximum height H of a projectile fired at an inclination θ to the horizontal with initial speed v0 are given by the formulas​ below, where g≈32.2 feet per second per second is the acceleration due to gravity. Complete parts A and B.

[tex]R=\frac{2v_o^2sin \theta cos \theta}{g}[/tex]

[tex]H=\frac{v_o^2sin^2 \theta}{2g}[/tex]

A. Find the range R if the projectile is fired at an angle 45° to the horizontal with an initial speed of 190 ft per second

B. Find the maximum height H  if the projectile is fired at angle 45° to the horizontal with an initial speed of 190 ft per second"

Solution

A. given the expression for Range R

substitute v= 190 ft/sec and ∅=45°

[tex]R=\frac{2(190)^2sin(45) cos(45)}{32.2}\\\\R=\frac{72200*0.7*0.7}{32.2}\\\\R=\frac{35378}{32.2} \\\\R=1098.7ft[/tex]

B. . given the expression for maximum height

substitute v= 190 ft/sec and ∅=45°

[tex]H=\frac{v_o^2sin^2 \theta}{2g}\\\\H=\frac{190*190*0.7*0.7}{2*32.2}\\\\H=\frac{17689}{64.4}\\\\H=274.7ft[/tex]

2x = -y +1
3x + 4y = 14

Answers

Answer:

It wasn’t specified so I just rewrote them slope-intercept form.

1st.

2x=-y+1
y=1-2x
y=-2x+1
If there is no fraction for the m value it is the number you have over 1
y=-2/1x+1

I believe this should help.

2nd.

3x+4y=14
4y=14-3x
Divide both sides by 4
y=7/2-3/4x
y=-3/4x+7/2


what is liner function ​

Answers

Answer:

Linear function is the function that produces a straight line as graph.

Linear function is a relationship in the form of:

Slope-intercept: y = mx + b

Point-slope form: y - y1 = m(x - x1)

Standard form: Ax + By = C

Answer:

A liner function is an equation that shows that makes a straight line on a graph

Step-by-step explanation:

like y=mx+b

Solve the formula for the specified variable.
W=X+Xyz for y

Answers

We have to isolate y.

W=X+Xyz

Subtract X from both sides. Doing so, we get the following: W - X = Xyz.

We now simply divide both sides by Xz to isolate y.

(W - X)/Xz = y

Done.

Find the LCM of the set of numbers. 3,5

Answers

Answer:

The answer for your question is 15

Answer:

The Least common multiple of 5 and 3 is 15

HELP PLEASE SCIENCE
Which of the following is not part of cell theory?

1. Cells are the basic unit of life in all organisms.
2.All living things come from one or more cells.
3.All cells must be able to make their own food.
4.All cells come from existing cells.

Answers

Answer:

3 :)

Step-by-step explanation:

two ratios that are equivalent to 2 : 9

Answers

Answer:

4 : 18, 8 : 36

Step-by-step explanation:

We multiply to find equal ratios.

2 x 2 = 4

9 x 2 = 18

4 x 2 = 8

18 x 2 = 36

We get 4 : 18, 8 : 36.

the answer is 18,8,36

Solve (-2/5) (-1 1/4)

Answers

Answer:

-1/9

Step-by-step explanation:

y2-y1

x2-x1

*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check...

J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?

Answers

Answer:

Maximum $11.28

Step-by-step explanation:

Let remaining money be x

13.72 + x ≤ 25x ≤ 25 - 13.72x ≤ 11.28

He can spend maximum of $11.28 in September

z = 24a - 2b

solve for a​

Answers

Answer:

a= (Z + 2b)/24

Step-by-step explanation:

given:

Z = 24a - 2b

to solve for a, we will try to move "a" to one side of the equation and all other terms to the other side:

Z = 24a - 2b    (add 2b to both sides)

Z + 2b = 24a -2b +2b

Z + 2b = 24a  (switch sides)

24a = Z + 2b (divide both sides by 24)

a/24 = (Z + 2b)/24

a= (Z + 2b)/24

please help me out with this​

Answers

Answer:

the answer is c because it's the best answer you could get

Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2^(x−5) + 3, g(x) = 2x − 5, h(x) = 8/x + 10
quickly please!!!!

Answers

Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

The sum of three numbers is 107. The second number is 7 less than the first. The third number is 3 times the second. What are the numbers?

Answers

Answer:

27, 20, 60

Step-by-step explanation:

We use the equation

(x) + (x - 7) + (3 * (x - 7)) = 107

= x + x - 7 + 3 * (x - 7) = 107

= 2x - 7 + 3(x - 7) = 107

Add  7 on both sides

= 2x + 3(x - 7) = 114

Expand the 3

= 2x + 3x - 21 = 114

= 5x - 21 = 114

Add 21 on both sides

= 5x = 135

Divide 5 on both sides

= 5x/5 = 135/5

= x = 27

Plug the functions in

(27) + (27 - 7) + (3 * (27-7)) = 107

You would get

27 + 20 + 60 = 107, therefore the numbers are 27, 20, 60

You move left 3 units. You end at -4, -3. Where did you start?

Answers

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

which equation is parallel to the y axis

Answers

Answer:

The X axis

Step-by-step explanation:

THREE QUESTIONSS PLEASE HELP !!!
1 . In the equation y=-4x+6, what is the y-intercept?
A.y
B.-4
C.x
D.6
2. Which equation or equations are written correctly in slope-intercept form? *
A.y=0.1x +2
B.f(x)=9.2x-5
C.h(x)=2x +3y
D.y-2=3(x+1)
3 .What is the slope of the equation -8x+4y=10?
A.4
B.-8
C.2
D.10

Answers

Answer:

1. B

2. C

3. C

Step-by-step explanation:

Answer:

1. D: 6      2.A:y=0.1x + 2      3.C

Step-by-step explanation:

1. In y = mx + b, b represents the y-intercept. The equation is alreayd in y = mx +b, so we can see that 6 is b, making it the y-inetrcept.

2. A is the only one written in slope intercept form, or y = mx + b.

3. -8x + 4y = 10 written in slope intercept form is y  = 2x + 5/2. The slope is shown by 2.

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?
03 to 4
4 to 3
4 to 7
7 to 4

Answers

Answer:

I think it is 4 to 3

Step-by-step explanation:

if I am wrong I'm sorry

Answer:

4-3

Step-by-step explanation:

sorry its a little blurry​

Answers

Answer:

c

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

Find the slope of the line that passes through (1, 2) and (2,4).

Answers

Answer: well there's no picture or model of the problem

Step-by-step explanation:

So what I can say is think about what line passes through what I'm assuming the lines that the numbers label, then find the slope of that line that passed through them.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

Answers

Answer:

15 small boxes and 5 big boxes

Step-by-step explanation:

5 x 3 = 15

15 x 35 = 525

5 x 65 = 325

525 + 325 = 850

Asthma is a condition in which it can be very hard for a person to breathe in enough air. Would it also be difficult for someone with asthma to exercise?

Answers

Answer:

B, no, as long as the persons cells are getting different types of molecules from food he can still exercise.

Step-by-step explanation:

Find the slope of the line shown on the graph to the right. The slope of the line is (Type an integer or a simplified fraction) -10 -86 -4 -2.

I know Im stupid, I just need help with this..​

Answers

Answer:

Sup

Step-by-step explanation:

Answer: the slope is one

Step-by-step explanation:

Sorry for the late answer but you better reply ;w;

To my recent question

Please..? I was busy tbh

What is the top one :(

Answers

Answer:

All answer below

Step-by-step explanation:

Equation of the Line

The standard form of the equation of a line is shown below:

Ax+By=C

And the slope-intercept form is:

y = mx + b

Where m is the slope and b is the y-intercept.

If we wanted to convert from the first form to the second we will perform the following operations:

Subtract Ax:

By = -Ax + C

Divide by B:

y = -A/Bx+C/B

The coefficient of x is -A/B (fill the blank with that text) and the y-intercept is C/B (again, fill in the blank)

The slope m is the coefficient of x, m=-A/B and it can be found it you divide the opposite of A by B. The selected option is correct.

The y-intercept is the division of C by B. Again, the selected option is correct.

Please help me with this

Answers

I think:
Coefficients
Variables
Constant
And finally, Terms

Divide following polynomials 5x2 - 18x-27/x-5

Answers

Answer:

[tex]\frac{5x^{3}-18x^{2} -5x-27 }{x}[/tex]

Step-by-step explanation:

Write an equation of the line given an intercepts. Express in standard form.
1. x – intercept is 4 and y – intercept is 3.
2. x – intercept is -2 and y – intercept is 5.

Answers

Answer:

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

Step-by-step explanation:

Standard form of equation is given as:

[tex]Ax+By = C[/tex]

1. x – intercept is 4 and y – intercept is 3.

The points will be:

(4,0) and (0,3)

Slope: m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{3-0}{0-4}\\m = -\frac{3}{4}[/tex]

Slope intercept form of line is:

[tex]y = mx+b[/tex]

Putting the values of m and b(y-intercept)

[tex]y = -\frac{3}{4}x+3[/tex]

Multiplying whole equation by 4

[tex]4y = -3x+12\\3x+4y = 12[/tex]

2. x – intercept is -2 and y – intercept is 5

The points will be:

(-2,0) and (0,5)

Now

[tex]m = \frac{5-0}{0+2}\\m = \frac{5}{2}[/tex]

Putting the values of m and b in slope intercept form

[tex]y = \frac{5}{2}x+5[/tex]

Multiplying the equation by 2

[tex]2y = 5x+10[/tex]

[tex]-5x+2y=10[/tex]

Hence,

Required equations in standard form are:

1. 3x+4y=12

2. -5x+2y = 10

The quotient of a number and -7 is 8. What is the number?​

Answers

The number is -56. To find your answer, multiply -7 and 8, which leaves us with -56. From there, check the work by dividing -56 by -7, resulting in 8. Hope this helps! Have an amazing rest of your day and please mark brainliest. xx

Which of the following expressions is equivalent to 4(5 + x)?

20 + 4x


20 + x


4 • 5 + 5 • x

(4 • 5 ) + x

Answers

20+4x

4(5+x)=

4(5)+4(x)

20+4x is the answer

determine the value of x​

Answers

Answer:

x is an unknown quantity whose value is determined based on any algebraic equation it is used in.

Step-by-step explanation:

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