please help me with this question. Given the functions f(x) = −2x + 30 and g(x) = 2x − 10, find the value of x for which f(x) = g(x).

Answers

Answer 1

Answer:

x = 10

Step-by-step explanation:

It says they equal each other so equal the two separate expressions together

-2x + 30 = 2x - 10

goal is to isolate variable x

add 2x to both sides (this cancels out the -2x on the left side)

30 = 4x - 10

add 10 to both sides (this cancels out the -10 on the right side)

40 = 4x

divide 4 by both sides (cancels out 4 on the right side)

10 = x


Related Questions

-(x + 3) + 3/4x +5= 0​

Answers

[tex]\text {Hi! Let's Solve this Equation!}[/tex]

[tex]\text {\underline {The First Step is to Simplify}}[/tex]

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

[tex]\text {Your New Problem Is: -1/4x+2=0}[/tex]

[tex]\text {\underline {The Next Step Is To Subtract 2}}[/tex]

[tex]\text {-1/4x+2-2=0-2}[/tex]

[tex]\text {Your New Problem Is: -1/4x=-2}[/tex]

[tex]\text {\underline {The Final Step is to Multiply 4/-1}}[/tex]

[tex]\text {4/-1*-1/4x=4/-1*-2}[/tex]

[tex]\text {Your Answer Would Be:}[/tex]

[tex]\fbox {x=8}[/tex]

[tex]\text {Best of Luck!}[/tex]

Solution:-

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

[tex]⇒ - x - 3 + \frac{3}{4x} + 5 = 0[/tex]

[tex]⇒ - x + \frac{3}{4x} = - 5 + 3[/tex]

[tex]⇒ \frac{ - 4 {x}^{2} + 3 }{4x} = - 2[/tex]

[tex]⇒ - 4 {x}^{2} + 3 = - 8x[/tex]

[tex]⇒ - 4 {x}^{2} + 8x + 3 = 0[/tex]

[tex]⇒4 {x}^{2} - 8x - 3 = 0[/tex]

[tex]⇒x = \frac{ - ( - 8) \pm\sqrt{( - 8)^{2} - 4 \times 4 \times ( - 3) } }{2 \times 4} [/tex]

[tex]⇒x = \frac{8 \pm \sqrt{64 + 48} }{8} [/tex]

[tex]⇒x = \frac{8 \pm \sqrt{112} }{8} [/tex]

[tex]⇒ x_{1} = \frac{8 + \sqrt{112} }{8} \: \: ,\: \: x_{2} = \frac{8 - \sqrt{112} }{8} [/tex]

[tex]⇒ x_{1} = \frac{8 + 10.58}{8} \: \: , \: \: x_{2} = \frac{8 - 10.58}{8} [/tex]

[tex]⇒ x_{1} = \frac{18.58}{8} \: \: , \: \: x_{2} = \frac{ - 2.58}{8} [/tex]

[tex]⇒ x_{1} = 2.32\: \: , \: \: x_{2} = - 0.32[/tex]

[tex] \sf \red{ \therefore{x_{1} = 2.32\: \: and\: \: x_{2} = - 0.32}}[/tex]

someone help please question is tagged in pic

Answers

Answer:

90.Grams of sugar

Step-by-step explanation:

A theater seats 1,860 people. The last 6 shows that have been sold out. Which is the best estimate of the total number of people attending the last 6 shows?

Answers

Answer:

11160

Step-by-step explanation:

1860x6. :) its that simple

Determine the solution to 8(3x – 5) = 80
A x = 5
B x= 10
C x = 12 D x=12

Answers

Answer:

A. x=5

can you also please mark me as brainliest?

Daniel and Paul have saved $37 to buy their mother a
present. Daniel saved $8 less than Paul. How much money
did Paul save?

Answers

paul saved $29 than daniel

Walmart is selling 5 notebooks for $4.00. How much is it to buy 12 notebooks?
Round you answer to the hundredth place (two decimals) and put the answer into US
dollar format

Answers

Answer:

$9.60

Explanation:

4 divided by 5= 0.8

0.8 times 12= 9.6

Find the product of 3 1/5
and5/8.
Answer in simplest form

Answers

Answer:

2

Step-by-step explanation:

3 1/5 x 5/8 = ?

3 1/5 = 16/5

16/5 x 5/8 = 2

Answer:

2

Step-by-step explanation:

it 2 because you simplify it with 80 and 40 and you multiple 16×5 and 5×8 = 80/40 you simplify it u get 2

Alexander started with 40 pieces of candy and gave away x pieces. Tristen started with 65 pieces of gum and gave away twice as many pieces as Tristen did. How many pieces of gum was given away if they had the same number of pieces of gum left?

Answers

Answer:

35

Step-by-step explanation:

x + 2x=3x        65+40=105

105/3x=35

[3x-6=12]
How do solve this equation

Answers

Answer:

x=6

Step-by-step explanation:

3x-6=12

   +6 +6

3x=18

3x/3= 18/3

x=6

Hope this helps!

Answer:

x=6

Steps

3x - 6 = 12

add 6 to both sides

3x - 6 + 6 = 12 + 6

simplify

3x = 18

Divide both sides by 3

3x/3 = 18/3

simplify

x=6

Plzzz...somebody help me in math

Answers

Answer:

I can probably help, but there is no image or equation.

Answer:

I can try give me a problem

Step-by-step explanation:

The table below shows the cost of bananas at a local grocery store.

Banana Prices
Weight of Bananas
(pounds)
Cost
($)
1
0.75
2
1.50
3
2.25
4
3.00
?
3.75

How many pounds of bananas cost $3.75?

Answers

I think it’s 5

Step-by-step explanation:

Because 1 banana is 0.75 cents and 75+75=150 so it’s probably 5

Similar to a rectangle with a length of 16 cm and width of 10 cm

Answers

Answer:

the correct answer 26 cm

Answer:

is 8/5 = 1.6

Step-by-step explanation:

you have to find the same result of the division of 16 / 10 = 1.6

Write the equation of the line parallel to y=4 that passes through (1,6)​

Answers

Answer:

y=0x+6

Step-by-step explanation:

Xavier buys 4 snacks and
2 cans of soda. Each
snack costs $1.25, and
each can of soda costs s
dollars. Xavier's total for
the snacks and soda was
$8. How much did each
can of soda cost?

Answers

Answer: Each can of soda costed $1.50

Step-by-step explanation:

The total cost was $8

Xavier's bought 4 snacks; each $1.25

4 x 1.25 = $5

How much for 2 cans of soda?

Well we know how much the snacks were ($5) and the total cost was $8, so the 2 cans costed $3 because 5 + 3 = 8. But how much did each can cost? Each can costed $1.50 because if the 2 cans costed $3, and we wanted to know how much 2 costed, we would have to divide 3 by 2 which is 1.50. So each can costed $1.50

Write the ratio as a fraction in simplest form.
Use / for fraction. Do NOT use any labels, and Do NOT type any spaces. Type the
fraction only.
12 snow days out of 24 days.

Answers

Answer:

12/24

Step-by-step explanation:

Use a proportion to convert the measurement. Round your answer to two decimal places.
90 liters=____gallons

Answers

Answer:

The correct answer would be 23.7755

Step-by-step explanation:

This answer is not rounded yet, so go ahead and do that. I hope this helps you:)

The linear parent function,f(x)=x ,was transformed to create a graph g(x)=−f(x).

Which statement about the graph is true?


The graph of f is reflected over the x-axis to create the graph of g.

The graph of f is shifted 1 unit down to create the graph of g.

The graph of f is shifted 1 unit left to create the graph of g.

The graph of f is shifted 1 unit right to create the graph of g.

Answers

Answer:

The graph of f is shifted 1 unit down to create the graph of g.

Step-by-step explanation:

i took the test earlier and got this answer

The linear parent function f(x) = x is reflected over the x-axis to create the grap of g(x) = - f(x).

What is translation?

There are four different kinds of translation: stretching, shrinking, rotating, and shifting.

When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.

We know that when we change the sign of x in a function it is rotated about

the y-axis and when we change the sign of y in a function it is rotated about the x-axis.

f(x) = y = x and g(x) = - f(x) = - y.

learn more about transformations here :

https://brainly.com/question/15554618

#SPJ2

Anybody please help I just have 2 minutes I’ll mark you Brainly

Answers

Answer:

20.5730406

Step-by-step explanation:

1.05 x 10^4 in standard notation

Answers

Answer:

10,500

Step-by-step explanation:

Answer:10500

Step-by-step explanation:10^4=10000. This number has 4 0's so move the decimal 4 places to the right

find the measure of the missing angle
a=

Answers

Answer:

Angles on a straight line add up to 180°

a = 180° - 29°

a = 151°

An electrician charges $35 for a
house call and $80 per hour for
each hour worked. If the total
charge was $915 to wire a new
house, how many hours did it take
to wire the house?

Answers

Answer:

11 hours

Step-by-step explanation:

if you multiply 11 by 80, you get 880. 880+35=915

2[x - 4 ]+ 8 = 18

Solve for X

Answers

2x-8+8=18
2x=18
2x/2=18/2
X=9

Answer:

x=9

Step-by-step explanation:

2(x−4)+8=18

(2)(x)+(2)(−4)+8=18(Distribute)

2x+−8+8=18

(2x)+(−8+8)=18(Combine Like Terms)

2x=18

2x=18

Step 2: Divide both sides by 2.

2x÷2=18÷2

x=9

HOPE THIS HELPS!

Somebody who knows how to do this correctly pls help!!!!!!
(Will mark as brainliest) promise :)
Thanks

Answers

the answer is easy 5/4
The answer for all them is

5. 2
6. 1/4
7.4/5
8. 5/3
9. 5
10. 2/5

Hoped I helpeddd.

If the equation of a line is y= - 2/3 x - 2 at what.point on the graph would I find the y- intercept?

Answers

Answer:

(0, -2)

Step-by-step explanation:

The slope equation is written as y = mx + b where m is the slope and b is the y-intercept. In this equation the slope, which is m, is -2/3 and the y-intercept is -2, which is the value of b. So the y-intercept on the graph would be found at point (0, -2)

Let y = mx +b, where m is the slope of the equation and b is the y-intercept.

So from the equation [tex]y=-\frac{2}{3}x-2[/tex] You'd find the y-intercept at (0,2). Alternative way, you can find the y-intercept by substituting x = 0 so -2x/3 will be 0 because x = 0 and -2x(0)/3 = 0-2 = -2.

So from the y = mx + b, you would find the y-intercept at (0,b)

20 Points and Brainliest to answer this

Answers

Use the slope formula and slope intercept form to find this equation.

Y= 1/2x - 2

(I hope this is right :))

HELP ASAP! PLSSS


Elizabeth won a $300 gift certificate at silver gym. A membership costs $15 a month and has a one- time fee of $50. Complete the equation that models the number of months,x, her gift certificate is will pay for a Silver gym.

Answers

Answer:

15x+50=300

Step-by-step explanation:

Answer:

15x+50=300

Step-by-step explanation:

What is the solution to
5 + 3(x - 1) = 3x + 14 - (x +15)

Answers

Answer:

x = -3

Step-by-step explanation:

5 + 3(x - 1) = 3x + 14 - (x +15)

5 + ( 3x - 3 ) = 3x + 14 - x -15

3x + 2 = 2x - 1

x + 3 = 0

x = -3

Answer:

x = -3

Step-by-step explanation:

To find the solution to the equation, we would have to find a value of x that would satisfy the equation.

5 + 3(x - 1) = 3x + 14 - (x + 15)

Distribute the 3 on the left side and the - on the right side.

5 + 3x - 3 = 3x + 14 - x - 15

Combine like terms.

2 + 3x = 2x - 1

Subtract 2 from both sides.

3x = 2x - 3

Subtract 2x from both sides.

x = -3

So the solution to the equation would be x = -3.

I hope you find my answer and explanation to be helpful. Happy studying.

PLEASE HELP 40-45 POINTS !!!!!!!!!!!!

Answers

Answer:

3rd one

if im right may i get brainlist

Step-by-step explanation:

3rd option!

Counterclockwise rotation by 180 degrees about the origin followed by a translation to the right by 5 units.

Solve Ax + By = C for x

Answers

Answer:

x= c/a-by/a

Step-by-step explanation:

A half gallon of pineapple juice for $1.79 OR 1 gallon of pineapple juice for $3.55

Answers

id say a half gallon because its cheaper:)
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