What is the value of x that makes the given equation true?
2(x−8)=x+5x

a x=-4
b x=-16
c x=-2
d x=0

Answers

Answer 1

Answer:

x = -4

Step-by-step explanation:

2(x−8)=x+5x

Distribute

2x - 16 = x+5x

Combine like terms

2x-16 = 6x

Subtract 2x from each side

2x-16 = 6x-2x

-16 = 4x

Divide by 4

-16/4 = 4x/4

-4 =x

Answer 2

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{2(x-8)=x+5x }[/tex]

[tex]\sf{2x-16=6x }[/tex]

[tex]\sf{2x-6x=16 }[/tex]

[tex]\sf{-4x=16 }[/tex]

[tex]\sf{ x=\dfrac{16}{-4} }[/tex]

[tex]\sf{x=-4 }[/tex]

[tex]\sf{ }[/tex]


Related Questions

Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌​

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 , then the sum of the roots is

α + β = - [tex]\frac{b}{a}[/tex]

Here 2x² - x - 3 = 0 is in standard form

with a = 2 and b = - 1 , then

sum of roots = - [tex]\frac{-1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Answers

Answer:

x = 32 feet

Step-by-step explanation:

By applying tangent rule in ΔACD,

tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{AB+AC}{CD}[/tex]

             = [tex]\frac{x+BC}{87}[/tex]

x + BC = 73 -----(1)

By applying tangent rule in ΔBCD,

tan(25°) = [tex]\frac{BC}{CD}[/tex]

             = [tex]\frac{BC}{87}[/tex]

BC = 40.57

By substituting the value of BC in equation (1),

x + 40.57 = 73

x = 32.43

x ≈ 32 feet

how many square metres of floor are there in a room of 6 metres

ig something like that

Answers

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

How long would it take the car to travel a distance of 2 meters at this average speed?

Answers

Answer:

1 hour

Step-by-step explanation:

2 ÷2=1 speed divide by distance


Write a verbal expression for (c-2)d

Answers

Answer:

the sum of c minus 2 multiplied by d ------> (c-2)d

What's 672 divided by 32

Answers

Answer:

the answer is 21

Step-by-step explanation:

NEEDED ASAP will MARK THE CORRECT ONE

Answers

Answer:

→ m∠ABE + m∠EBC =180°

→ m∠ABF + m∠FED + ∠DBC =180°

→ ∠ABF ≅ ∠EBC

→ ∠ABE ≅ FBC

~OAmalOHopeO

PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

Answers

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

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

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

----------------------

     15   = 2x - 5

     +5           +5

-----------------------

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

x3 + (y +z) factorize​

Answers

I think you wrote the question wrong this question is not factorable

Look at the graph shown.


Which equation best represents the line? (4 points)


y = 1 over 3.x − 1

y = 3x − 1

y = −x + 1 over 3.

y = 3x + 1

Answers

Answer:

y=3x - 1

Step-by-step explanation:

we are going to base the answer off of the y=mx+b form where m represents slope and b represents the y-intercept.

we know that b must be -1 because the line hits the y-axis when y is -1

this now leaves us with either the first or second choice

we then choose two points to find the slope. I am using (0,-1) and (1,2). If you count the boxes, the y-value increases by 3 as the x-value increases by 1. So the slope is 3/1 or 3.

so then we know the answer is y=3x-1

hope this helps

Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.

Answers

[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]

[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]

[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]

help again geometry similarity transformations

Answers

1. 2

2. The X axis

3. 3 right and 1 up (3, 1)

Answer:

2 or A

x-axis or y = 0

I'm not sure the answer choices for the third one so I'm heading out.

Step-by-step explanation:

If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.

Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.

plssssss help me answer this quickly

Answers

Answer:

Step-by-step explanation:

In the picture below, which lines are lines of symmetry for the figure?

A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none

Answers

Answer:

None

Step-by-step explanation:

No lines can be folded over to match up with the opposite side

The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?

Answers

Answer:

0.305

Step-by-step explanation:

We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950

Thus, to get the area to the left, we just subtract 0.6950 from 1.

Thus;

area to the left of z = 0.51 is;

P( z < 0.51) = 1 - 0.6950 = 0.305

use the ratio of a 45-45-90 triangle to solve for the variables​

Answers

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events: a. The car travels more than 69 miles per gallon. Proba

Answers

Answer:

0.28386

Step-by-step explanation:

Given that :

Mean, μ = 65 miles

Standard deviation, σ = 7 miles

Probability that car travels more than 69 miles per gallon :

Recall,

Z = (x - μ) / σ ; x = 69

Z = (69 - 65) / 7 = 0.5714

The probability :

P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)

P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386

P(Z > 0.5714) = 0.28386

Write the exponential function that passes through (-1, 27), (0, 9), (1, 3).​

Answers

Step-by-step explanation:

we see, for x=-1 we get 3³

x=0 we get 3²

x=1 we get 3¹

so the function is definitely a 3 to the power of x version.

but we need to adapt the exponent a bit and correct x, so that at least for these 3 values of x the result is "running backwards".

the easiest way : 2-x as exponent.

it fits.

for x=-1 we get 2 - -1 = 3 as exponent.

for x=0 we get 2-0 = 2 as exponent.

for x=1 we get 2-1 = 1 as exponent.

so, the exponential function passing through these 3 points is

[tex]f(x) = {3}^{2 - x} [/tex]

The function (1) describes the height, in feet, of an object at time, in seconds, when it is launched upward from the ground at an initial speed of 112 feet per second.

a. Find the domain.
b. What does the domain mean in this context?

Answers

Answer:

see below

Step-by-step explanation:

The domain is the values that the input takes

The values go from 0 to 7

0≤x≤7

This is the time from the initial launch until the object hits the ground

Rewrite
4/10 : 1/25 as a unit rate.

A: 10:1
B: 25:4
C: 2:125
D: 100:1

Answers

Answer:

4/10 : 1/25

4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.

10 can also be written as 10:1, so A is correct.

Hope this helps!

What is the median for the set of data? 6, 7, 10, 12, 12, 13
Answer choices:
6
7
10
12
12
13​

Answers

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.

Need help on this activity!!

In this activity, you will rearrange and solve a rational equation and find and use the inverse of a rational equation.

As we’ve seen, for a circuit with two resistors arranged in parallel, we can calculate the total resistance in the circuit, , in ohms, with this equation.

Question 1
Part A
Question
Rewrite the equation to represent the resistance of resistor 2, , in terms of and .

Answers

Answer:

My best guess rn is the first option

Step-by-step explanation:

the last dude had it close but it was basically flipped as you can tell.

The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]

[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]

Arrange all terms containing [tex]R_2[/tex] on one side

[tex]R_1R_2-R_TR_2=R_TR_1[/tex]

Factor out [tex]R_2[/tex] from the LHS

[tex]R_2(R_1-R_T)=R_TR_1[/tex]

Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]

[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

Learn more about change of subject of formula here: https://brainly.com/question/343660

Can I please get help with these 2 questions about polygons

Answers

Answer:

a)139°

Step-by-step explanation:

two co interior angles make one opposite exterior angle

49+90=139°

Geometry, please answer question ASAP

Answers

Answer:

Triangle ACB =~ triangle DFE, by adding 6 units to each side of both triangles their relationship will not change. They are still similar.

Step-by-step explanation:

The answer isn't great in all honesty but it's been a long time since I took geometry and I don't 100% remember the proper way of stating it. Though I am 100% sure they stay similar.

Sorry couldn't be of more help but figured something was better then nothing

Can someone plz help with this problem

Answers

Answer:

I think the answer is 2

Step-by-step explanation:

Between 30 and 60 is double b so just divide 4 by 2.

Algebra
factorize
a4 - 3a2b2 + b4​

Answers

Answer:

The term a⁴-3a²b²+b⁴ can't be factorised

how many solutions does the equation below have? 3x-8=-2x+9/3

Answers

Answer:

1

Step-by-step explanation:

[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]

[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]

[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]

[tex]\\ \sf\longmapsto 5x=11[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]

Help!!! please!!! Confused!

Answers

∵AB=CB
∴∠BAC=∠BCA

∵AB bisect ∠MAT
∴∠MAB=∠TAB

Hope my answer helped u :)

Find the slope of the line that contains (-1, 9) and (9, 9).

Answers

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

Monica took a survey of her classmates' hair and eye color. The results are in the table below.

Answers

0.14 would be correct
Other Questions
Simplificar expresiones algebraicas The equation of line u is y = 9/2x+1. Line v is perpendicular to u. What is the slope of line v Find the equation of the line through the points (-5,11) and (2,-3)y= A recipe calls for 2 1/2 tablespoons of oil and 3/4 tablespoons of vinegar. What is the ratio of oil to vinegar in this recipe? Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information?A.0B.11OC. 2OD4OEInfinitely many Bert has blonde hair (b). Molly has brown hair (B), but her genotype is Bb, meaning she carries a recessive blonde allele. What is the likelihood of Bert and Molly's second child having brown hair? Biomagnification results in higher amounts of toxic substances for organisms on the food chain True False Which sentence uses a comma correctly to set off an introductory phrase? why do foreign people visit national heritage of nepal? In 4 points. In 500 words decribe fluently the imagery in the peom Grey day at waterval farm by lionel murcott Which of the following is in standard form of quadratic? f(x)=-5x^(2)-3x+9 f(x)=-5(x+4)(x-2) f(x)=-5(x-1)^(2)+6 f(x)=2x-8 what is soical evil define it Which statement best explains the two possibleinterpretations of the sonnet? which of these is a cash crop A. cucumbersb. grassc. latexd. strawberries Granfield Company is considering eliminating its backpack division, which reported an operating loss for the recent year of $42,200. The division sales for the year were $963,800 and the variable costs were $477,000. The fixed costs of the division were $529,000. If the backpack division is dropped, 40% of the fixed costs allocated to that division could be eliminated. The impact on Granfield's operating income for eliminating this business segment would be:__________.a. $275,200 increaseb. $486,800 decreasec. $211,600 increased. $275,200 decreasee. $486,800 increase An isosceles right triangle has a hypotenuse that measures 42 cm. What is the area of the triangle?PLEASE HELP A money market security that has a par value of $10,000 sells for $8,924.70. Given that the security has a maturity of two years, what is the investor's required rate of return? I need help with question 5 1. A turtle and a rabbit are to have a race. The turtles average speed is 0.9 m/s. The rabbits average speed is 9 m/s. The distance from the starting line to the finish line is 1500 m. The rabbit decides to let the turtle run before he starts running to give the turtle a head start. If the rabbit started to run 30 minutes after the turtle started, can he win the race? Explain. NEED THIS ASAPAs Clover looked down the hillside her eyes filled with tears. If she could have spoken her thoughts, it would have been to say that this was not what they had aimed at when they had set themselves years ago to work for the overthrow of the human race. These scenes of terror and slaughter were not what they had looked forward to on that night when old Major first stirred them to rebellion. If she herself had had any picture of the future, it had been of a society of animals set free from hunger and the whip, all equal, each working according to his capacity, the strong protecting the weak, as she had protected the lost brood of ducklings with her foreleg on the night of Majors speech.Animal Farm,George OrwellHow does Clovers response support the authors purpose? Check all that apply.She feels great despair, like many people in the Soviet Union.She was wrong to think that the strong would protect the weak.She is pleased with the changes on the farm, although life is not perfect.She is correct in thinking that taking over the farm has solved all their problems.She is similar to peasants who thought that the rebellion would create a better world.