If f(x)=6x-15 and f(a)=30, what is the value of a?
Please help

Answers

Answer 1

Answer:

[tex]a=7.5[/tex]

Step-by-step explanation:

Given the function [tex]f(x)=6x-15[/tex] and the output [tex]30[/tex] when [tex]x=a[/tex], we can write the equation:

[tex]6a-15=30[/tex]

[tex]6a=45[/tex]

[tex]a=7.5[/tex]

We can insert the value of [tex]a[/tex] into the function to verify the output equals [tex]30[/tex]:

[tex]f(a) = 6a-15[/tex]

[tex]= 6(7.5)-15[/tex]

[tex]=30[/tex]

∴ We have verified that [tex]a=7.5[/tex]

Hope this helps :)


Related Questions

Pl help me I will give Brainly

Answers

Answer:

Both gyms charge the same after 2 months and LA fitness has a greater initial fee.

I need the answer for this equation

Answers

Answer:

c

Step-by-step explanation:

Answer:

It’s... d or c

Step-by-step explanation:

I think

Use your trendline to find the temperature of your Spaghettios after 40 minutes. Is this an example of interpolation or extrapolation?

NEED HELP ASAP WITH SHOWN WORK!!!!!!!!!!!!

Answers

Answer:

in 40 minutes, 15 degrees Farenheit  will be e

Step-by-step explanation:

Ajit says the following steps can be used to find 0.48 of in which step did he make his first error? Step 1 Change "of" to the multiplication symbol. O Step 1 O Step 2 O Step 3 Step 2 48 x 7 = 336 O Step 4 Step 3 There is 1 decimal place in 7 and 3 decimal places in 0.48 for a total of 4 decimal places in the factors Step 4. Move the decimal place in the product 4 places to the left to find the solution: 0.48 of 7 is 0.0336.​

Answers

Answer:

step one

Step-by-step explanation:

of is a key word for division

How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.

A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.

Answers

Answer:A

Step-by-step explanation:

Using translation concepts, it is found that the corrects options are:

B. The graph of g is a vertical stretch of the graph of f.

C. The graph of g is a reflection over the x-axis of the graph of f.

What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the functions are:

[tex]f(x) = |x|[/tex]

[tex]g(x) = -2|x|[/tex]

g is the function of f multiplicated by -2, hence:

It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.

You can learn more about translation concepts at https://brainly.com/question/13671886

Factor the polynomial f (x) = x3 – 19x + 30 if x – 3 is a factor.

Answers

Answer:

Step-by-step explanation

By Using Synthetic Division Method:

3                   1    0    -19    30

                          3      9    -30

                    1     3    -10    0

factorise: (x^2+3x-10)(x-3)

                =(x+5)(x-2)(x-3)

Answer:

ITs B on edge

Step-by-step explanation:

cause i said so cuzzzz

what's the answer? ​

Answers

Answer:

80 degrees

Step-by-step explanation:

ALL TRIANGLES MUST EQUAL 180 DEGREES!

180-70-30 = 80

Say it with me.

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

ALL TRIANGLES MUST EQUAL 180 DEGREES!

Also, triangle CED reflects over the invisible y-axis. Angle C is shared = 70. Angle E is Angle A, and Angle B is Angle D (which is 80 degrees).

Need this for my final... PLEASE. HELP

Answers

Answer:

I will answer it but what is the question?

Step-by-step explanation:

403 students go on a field trip there are 19 vehicles some vans and some buses. 7 students can fit in a van and 25 students can fit in a bus​

Answers

Answer:

Shii I hope so

Step-by-step explanation:

Linear equations- please help me
−5(5x+3)−5x+1=−44

Answers

the answer is x=1
Add the numbers
Combine like terms
Add
to both sides of the equation

Simplify

Divide both sides of the equation by the same term

Write an equation of the line that passes through (4,-2) and is parallel to y=1/2x -7

Answers

Answer:

5 x - 6 y - 8 = 0.

Step-by-step explanation:

20pts answer please the picture

Answers

Answer: Hope this helps!

Step-by-step explanation:

Area of a trapezoid formula base a+base b/2*h

Base a is the top length (22.5)

Base b is the bottom length (49.9)

Add those two lengths together (22.5+49.9=72.4)

Divide that by two (72.4/2=36.2)

Then multiply that by the height (36.2*23.8=861.56)

So your area is 861.56

simplify
plz explain

Answers

Answer: [tex]\sqrt{7}[/tex] divided by 2

Step-by-step explanation:

[tex]\sqrt{4}[/tex] becomes 2 .2 [tex]\sqrt{28}[/tex] becomes 2 x 2[tex]\sqrt{7}[/tex], which would equal 4 [tex]\sqrt{7}[/tex]. Then I think you simplify the 2 and four ( 2/4 ), making the equation 1/2 x [tex]\sqrt{7}[/tex]. 1 x [tex]\sqrt{7}[/tex] would equal [tex]\sqrt{7}[/tex]. So I think the answer would be [tex]\sqrt{7}[/tex] divided by 2.

pleaseeee helpppppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

6.85565

Step-by-step explanation:

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

it is the first answer(2x+2,y)

DESCRIPTION

the midpoint can be found with

(x1+x2/2, y1+y2/2)

The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?

Answers

Answer:

Length = 18

Step-by-step explanation:

Length= 2w - 4

Perimeter= 58

Perimeter= 2L + 2w

58 = 2(2w-4) + 2w

58 = 4w -8 + 2w

58 = 6w - 8

66 = 6w

11 = w

Plug in width to find the variable L

58 = 2L + 2(11)

58 = 2L + 22

36 = 2L

18 = L

nelson middle school raised $19950 on ticket sales for its carnival fundraiser last year at $15 per ticket. if the school sells the same number of tickets this year but charges $20 per ticket how much money will the school make? can you explain i dont want tue anwer​

Answers

19950/15=1330
1330*20=26600

Solve 2/3x - 1/5 > 1

Answers

Answer:

x>9/5

Step-by-step explanation:

Answer:

9/5

Step-by-step explanation:

got it right

The height of a building is 1417 ft. How long would it take an object to fall to the ground from the top? Use the formula s = 16t ^ 2 where s is the distance, in feet traveled by an object falling freely from rest in seconds.

Answers

Given :

The height of a building is 1417 ft.

To Find :

How long would it take an object to fall to the ground from the top.

( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )

Solution :

Putting value of height in given equation, we get :

[tex]16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds[/tex]

Therefore, time taken by object to reach the ground is 9.41 seconds.

PLEASE HELP NEED HELP ASAP!!!!!!

Answers

Answers:

x = 3

y = 9

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

Explanation:

We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.

Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.

Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.

x is 3 and y is 9

the more you know

What is the solution set for

−4x + 10 ≥ 5x + 55?

Answers

the correct answer should be what is in the photo below

Answer:

x[tex]\leq[/tex]-5

Step-by-step explanation:

What is the y-intercept and slope of the following equation y=8-2x​

Answers

Answer:

Sloper = -2

y-intercept = (0,8)

Step-by-step explanation:

y=8-2x

y=-2x+8

m=-2

b=8

Answer:

slope(m)=-2

y-intercept (c)=8

Step-by-step explanation:

here,y=-2x+8

reducing it into slope intercept form we get,

y=(-2)x+8

comparing it with y=mx+c we get,

slope(m)=-2

y-intercept(c)=8

Find the measure of x.
7.
105° X 123 - 111
a. 105
C. 43

Answers

Answer:

43

Step-by-step explanation:

105+2x-11=180(vertically opp.t)

94+2x=180

2x=180-94

x=86/2

x=43

Hope this helps u...

I need help. Please answer if u do know

Answers

Answer:

i think is (-3,2) because it look like in negative and posted

(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)

Answers

Answer:

The answer is (3-,5) watch is C cause if you do that but in math form it's the same

John Muir was an American naturalist born in Scotland on April 21, 1838. As one of the first advocates of the United States' wilderness preservation, Muir spent his career writing letters, essays and books about many of his experiences in the Sierra Nevada mountains, located in northern California. Muir's influence on the history of American wilderness continues to live on past his death (in the early twentieth century) as people of all ages visit and hike through the 221 miles of the John Muir Trail, named in Muir's honor. The trail begins in Yosemite National Park and concludes at Mount Whitney, which contains the highest peak of the continental United States.

The following table compares Mount Whitney"s height, in meters, to other monumental peaks of the world.

Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
Use the data in the table to complete Parts A, B, and C. In your final answers, include your work for all estimates and calculations.

Part A:

Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part B:

Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part C:

Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.

Answers

Answer:

boo

Step-by-step explanation:

Please help ASAP !!
Please help ASAP !!
Please help ASAP !!

Answers

just multiply!!!!!!!!!!!!!

Answer:

7/50

Step-by-step explanation:

That is the simpliest fraction. Hope dis helps

Write the verbal phrase as a algebraic expression
three times the sum of a number and 1

Answers

3 (n + 1) (expression)

3n + 3 (expression simplified)

Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).
Complete the inverse function for the function glven below.

Answers

Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?

Answers

C.the diagonals are perpendicular i think :D
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