Which best describes the solution(s) to the equation 5x - 6 - x - 2x + 2?
There is one solution at x =
1
4
O There is one solution at x = 4.
O There is no solution.
There are infinitely many solutions.

Answers

Answer 1

The equation had only one solution and the solution to the given equation is 1

Equations are expressions separated by an equality sign

Given the equation expressed as;

5x - 6 = -x - 2x + 2

Collect the like terms:

5x + x + 2x = 2 + 6

Simplifying the result;

8x =8

Divide both sides of the equation by 8 to have:

8x/8 = 8/8

x = 1

Hence the solution to the given equation is 1

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Related Questions

Which TWO identify the same sequence?


A) f(x) = 6x + 4 for x = {1, 2, 3, ...}


B) f(x) = 10x + 4 for x = {1, 2, 3, ...}


C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}


D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}


E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}

Answers

A and E are equivalent sequences

The sequences A and E are the same sequences.

What is Sequence?

Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.

A) f(x) = 6x + 4 for x = {1, 2, 3, ....}

f(1) = 10, f(2) = 16, f(3) = 22, ....

B) f(x) = 10x + 4 for x = {1, 2, 3, ...}

f(1) = 14, f(2) = 24, f(3) = 34, ....

C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}

a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....

D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}

a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....

E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}

a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....

A and E are the same sequences with a common difference 6 and the first term 10.

Hence A and E have the same sequence 10, 16, 22, .....

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What is the purpose of constructing a confidence interval?
O In order to find a range of values to estimate the population
proportion.
o In order to find a range of values to estimate the sample proportion.
o To find the exact value of the population proportion.
o In order to find the exact sample proportion.

Answers

Using the interpretation of a confidence interval, it is found that the correct option is:

In order to find a range of values to estimate the population  proportion.

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b. From the above bullet point, we have that the interval is taken from a sample, and is used to estimate a population parameter.

Hence, the correct option is:

In order to find a range of values to estimate the population  proportion.

You can learn more about the interpretation of a confidence interval at https://brainly.com/question/25822483

A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30-year mortgage, how much can they borrow?

Answers

Answer:    $189,383.96

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

Explanation:

r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700

We'll plug those items into the formula below.

L = loan amount

L = P*( (1+i)^n - 1)/( i*(1+i)^n )

L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )

L = 189,383.961539639

L = 189,383.96

The couple can afford to borrow at most $189,383.96

write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5​

Answers

equation of the line which has the given slope "m" and whivh passes through the given point...

a.(2,10) and m= -4

b.(4,-4) and m=3/2

c.(0,0) and m=3/5

the a,b, and c have the same formula

use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1


pls help me
I will give brainliest​

Answers

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

Please answer the question on the image.

Answers

Answer:

both isosceles???

Step-by-step explanation:

Answer:

They are similar.

Step-by-step explanation:

There might be other ways but

<X(Angle of x) is used for both triangle XAB and XYZ

And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.

The similarity statement is: AAA Because angle(A=B , B=Z)

are 1/2 and 2/4 proportional?​

Answers

Answer:

yes they are proportional

Yes, 1 is half of 2 and 2 is half of 4

The price of a CD decreased from $15 to $10. What is the percent of decrease

Answers

Answer:

Step-by-step explanation:

amount of decrease is $15 - $10 = $5

as a percentage of the original price

100($5/$15) = 33⅓ %

Please help I don't understand

| X = 2 | Y = 3 | Z = 4 |

Evaluate the expression using the solutions above

5x + 6z + 2y

Answers

Answer:

The expression can be written as:

5(2) + 6(3) + 2(4).

if I'm wrong, please tell me


It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?

Answers

the 25 oz container is better because the unit price is 16 cents an oz and the unit price for the 20 oz is 17 cents

Determine if the two lines are parallel. Explain your answer for brainliest.
3x+4y=8
-12x-9y=27

Answers

Answer:

Below!

Explanation:

The lines are not parallel because the slope is not the same for both equations. If a slope is the same with different y-intercepts, the two line will eventually be parallel. However, if a line has same slope and y-intercept, then there will be infinite solutions to the equation.

Hoped this helped

[tex]BrainiacUser1357[/tex]

LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )

Answers

A = (0,0)
B = (-15,10)

hey I really need help on this one please help me thanks

Answers

Answer:

y = -10/3x -23

Step-by-step explanation:

Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.

We are trying to find m.

Slope-intercept formula:

m = y2-y1/x2-x1

Now let's identify our points, (-9,7) and (-6,-3).

= -3-7/-6+9

= -10/3

Point-slope formula:

y-y1 = m(x-x1)

Now let's identify our points, (-9,7) and (-6,-3).

-3 - 7 = m(-6 + 9)

-10 = 3m

-10/3 = m

Now, we have to use slope-intercept formula to find our b.

y = mx+b

y = -10/3x + b

Let's substitute one of the points, any given points work!

7 = -10/3(-9) + b

7 = 30 + b

-23 = b

Let's put it back in.

y = -10/3x -23

Suppose the sample space for a probability experiment has 48 elements. If items from the sample space are selected without replacement, how many different ways can you select all of the items?

Answers

Answer:

56study hard watch your book for 20 minute and look....this is a hint

A newborn child receives a ​$6000 gift toward a college education from her grandparents. How much will the ​$6000 be worth in 18 years if it is invested at ​7.6% compounded​ quarterly?

Answers

Answer:

333.333333333

Step-by-step explanation:

you have to divide

Solve for x. Round to the nearest tenth, if necessary.
1.8
P
х
1400
o

Answers

Answer:

13.6

Step-by-step explanation:

URGENT PLS HELP

John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?

1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18

Answers

2. d=16 + 18t because 18 represents the miles he noted and adding the 16 would be 34. Since t is representing time, and you don’t know in how much time he traveled 18 miles it’d be with the 18.

What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w

Answers

Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W

Step-by-step explanation:

Answer:

LCD/ LCM = 100

Step-by-step explanation:

- 12.2 + 2.8W - 8.8 = 1.05W

- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W

- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W

the LCM/ LCD is 100

90 is 95% of what number?​

Answers

Answer:

94.74

Step-by-step explanation:

Hope this helps!

Answer:

94.74

Step-by-step explanation:

Write an equation for the line parallel to the line – 25x + 5y = -9 through the point (0,0).

help pls!

Answers

Answer:

Step-by-step explanation:

Rewrite the equation is standard format:  y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).  \

– 25x + 5y = -9

5y = 25x - 9

y = 5x - (9/5)

This line has a slope of 5.  A parallel line will have the same slope as the reference line.  This means:

y = 5x + b

Any line with a slope of 5 will be parallel, regardless of the value of b.  We need b, however, since we also want this line to cross point (0,0).  We can use this point in the equation and solve for b:

y = 5x + b

0 = 0x + b

b = 0

Our line becomes y = 5x + 0, or

y = 5x  

[Note that we could also say b=0 just by looking at the given point.  The y-intercept, b, is the value of y when x=0.  The point we were given tells us y = 0 at x = 0.

Who are you favorite male country singers?

Answers

Answer:

kanye west

Step-by-step explanation:

Thomas Rhett, Luke combs, Florida Georgia line

Dave and Kyle are 40 miles apart on a path when they start moving toward each other. Dave runs at a constant speed of 8 miles per hour, while Kyle walks at a constant speed of 5 miles per hour. How long does it take until they meet?

Answers

Answer:

About 3 hours

Step-by-step explanation:

together, they go 13 miles in one hour. 40/13 = 3 with remainder 1

Help help help help math math

Answers

No it is not because it’s a linear growth

In the rectangular trapezoid ABCD AC is driven by a CD (see figure).
Find the width of the trapezoid if AC = 3, AD = 5.

Answers

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?

Answers

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

Which histogram represents this data set? 6, 7, 6, 2, 4, 5, 7, 1, 5, 8, 3, 5, 8

Answers

Answer:

See attached

Step-by-step explanation:

You do not have options, but a histogram that would represent this data is attached.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Given the following computer output, select the correct least-squares regression line:

Answers

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

According to the information presented in the figure, we know the following function:

The independent variable is 'length'.The dependent variable is 'time'.The regression line is of the form: [tex]\ln y = A + B\cdot \ln x[/tex].

Hence, the correct form of the regression line is:

[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

To learn more on regression lines, we kindly invite to check this verified question: https://brainly.com/question/7656407

Answer:

D: logTime=0.699 + 0.500

Step-by-step explanation:

0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)

3 + 12 + 48 + 192 + ...
Whats the answer

Answers

the sequence is to take the previous number and multiply by 4, so the sequence is

3 12 48 192 768 3072 12288

add them all up and you get 16383

Answer:

3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers

Add them all up and you get

= 16383 Answer C

Step-by-step explanation:

[tex]3, 12, 48, 192[/tex]

So from 3 to 12 is multiply by 4

So we have checked that it works for all of them

Rule:

Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number

I hope this has helped :)

At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.

Answers

Answer:

w [tex]\leq[/tex] 50

Step-by-step explanation:


Solids X and Y are similar.
X has volume 64 cm3
Y has volume 343 cm3
The surface area of X is 176 cm2
Work out the surface area of Y.

Answers

Answer:

i think surface area of Y is 539 cm²

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