4(x + 2) = 2x + 10


explain each step plz

Answers

Answer 1

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]4(x + 2) = 2x + 10[/tex]

Distribute 4(x+2).

[tex]4x+8 = 2x + 10[/tex]

Subtract 2x and 8 from both sides.

[tex]4x-2x=10-8[/tex]

[tex]2x=2[/tex]

Divide both sides of the equation by 2.

[tex]\frac{2x}{2} =\frac{2}{2}[/tex]

[tex]x=1[/tex]

Answer 2

Answer:

x = 1

Step-by-step explanation:

4(x + 2) = 2x + 10

You start by expanding 4(x +2)

i.e. 4x + 8 = 2x + 10

Then, subtract 2x from both sides of the equation

4x + 8 - 2x = 2x + 10 - 2x

4x - 2x + 8 = 2x - 2x + 10

2x + 8 = 10

Subtract 8 from both sides of the equation

i.e. 2x +8 - 8 = 10 - 8

2x = 2

Divide both sides of the equation by the coefficient of x above(which is 2)

[tex]\frac{2x}{2} = \frac{2}{2}[/tex]

x = 1

Hope this helps :))


Related Questions

HURRRYYYYYYY

A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.



A).1/4


B).1/3


C).1/2


D).2/3

Answers

Answer:

(C) ¹/₂

Step-by-step explanation:

Given;

A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6

The probability of rolling a number less than 4 = 3, 2, 1

The probability of rolling 3, P(3) = ¹/₆

The probability of rolling 2, P(2) = ¹/₆

The probability of rolling 1, P(1) = ¹/₆

Probability of rolling a number less than = P(3) or P(2) or P(1)

                                                                   = ¹/₆ + ¹/₆ + ¹/₆

                                                                   = ³/₆

                                                                   = ¹/₂

Therefore, the probability of rolling a number less than 4 is ¹/₂

Option (C) ¹/₂

simplify
x + x + y x y
plz thx

Answers

Answer:

2x + y^2

Step-by-step explanation:

We group the like terms, so:

x + x = 2x

y * y = y^2

_______________________________

Hey!!

Solution,

X+X+y*y

= 2x+y^2

The answer is 2x+y^2

hope it helps

Good luck on your assignment

____________________________

Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.

Answers

Answer:

y= -29 if domain is -4

y=-6 is domain is -2

y=8 if domain is 0

y=22 if domain is 2

Step-by-step explanation:

Which of the following is most likely to be a relative minimum for this graph?

Answers

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

HELP PLEASE I DON'T UNDERSTAND THIS AT ALL​

Answers

Answer:

PV/nR = T

Step-by-step explanation:

PV = nRT

Divide each side by nR

PV/nR = nRT/ nR

PV/nR = T

Answer:

So we know that P*V = n*R*T im guessing

So that means that we divide it by how much we are multiplying by T aka n*R

so PV/nR = T

I am guessing that this is no physics fomula or math formula with things I dont know but if these are just random vars this is the answer.

Step-by-step explanation:

What is a equivalent expression to $3.79 x 2 = $7.58

Answers

Answer: $7.58/2=$3.79

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

w = -5x^2+20x+160/x

Step-by-step explanation:

Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.

I may be wrong, it's been a while since I solved these types

Kaleb looks at a tennis court and uses a geometric term to describe two lines that cross at a right angle. What term could use Kaleb use? A. Acute angle B. Parallel lines C. Perpendicular lines D. Straight angle

Answers

C. perpendicular line

This is because a perpendicular line is when two line bisect at a 90 degree angle

Hope this helps! :)

Hhhhhhheeeeelllllpppppppp

Answers

Answer:

tan 41 = 0.87

sin 63 = 0.89

cos 14 = 0.97

Step-by-step explanation:

No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.

sin(x+16degrees) = cos(2x+14 degrees) what is x

Answers

Answer:

X=20°

Step-by-step explanation:

SinX+16°+Cos2X+14°=90

3x+30=90

3x=60

x=20°

Which answers are equal to the expression below? Check all that apply

Answers

Answer:

A, B, D, E, F

Step-by-step explanation:

Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form
A) 2x -y= -2
B) -2x -y= -22
C) -2x +y= -8
D) -2x +y=-2

Answers

Answer:d

Step-by-step explanation on ed

Please answer correctly !!!!!!!!! Will mark brianliest answer !!!!!!!!!!!!

Answers

Answer:

9x^2 +12x

Step-by-step explanation:

To find the area of a rectangle you need to multiply the length by the width. So,

3 by 3x^2 = 9x^2

3 by 4x = 12x

So the area of the entire rectangle is: 9x^2 + 12x

TRIG PROBLEM: Help me solve this, please. I will give Brainliest!
Please show all work. I have no idea where to start :(

Answers

Let's start with part a, finding the maximum and minimum.

Answer a: Max temp is -5 C on day 200.  Min temp is -79 C on day 500.

Sine model.

We're looking for a model

T(n) = A sin( ωn - p ) + o

where T(n) is the estimated temperature on day n, A the amplitude of the variation, omega the radial frequency of variation, p a phase shift and o an offset, the average temperature.

Averaging min and max gives -42 C; that's the offset, what we get when the sine is zero.  o = -42 C.

That's pretty close to the value on day 0 so we'll just use a sine function without any phase shift, p = 0.

Subtracting min from max gives a total span of 74 C degrees, so a sinusoidal amplitude that's half that, A = 37 C.

From max to min is a half period, or about a half period since we're only seeing every 100 days.  That's 300 days, so a full cycle about every 600 days.

We want the argument to sine to go from 0 to 2pi as we complete a single period, 600 days,  So when n=600 this term must be 2π, so it's of the form

ωn = 2 π n / 600.

Putting it all together we get our model:

Answer b: T(n) = 37 sin(2 π n / 600) - 42

We already estimated the period at 600 days.  That's a full year.

Answer c: 600 days

We can see a full period is closer to 700 days (compare day 500 and day 1200, and also day 600 and day 1300) and the phase shift might need adjusting, but I think we pretty much did as they asked so I'll stop here.




Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.

A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.

B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.

C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.

D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.​

Answers

Answer:

B. Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions
B, each question is 5 minutes, so it will take her 50 minutes for her to finish her homework and yu subtract that from 120 and she will have 70 minutes left.

Given: Lines y and z are parallel, and ABC forms a triangle.
Prove: m25 + m_2 + m26 = 180°
M

Answers

Answer: Brainliess plsssssss

The answer in this question is Alternate interior angles are congruent.

Step-by-step explanation:

Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.

a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27

Answers

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

Learn more: brainly.com/question/17429689

Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation.  The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it.  If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant.  Since 241 is more than zero, it has 2 zeros.  If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.

What is 3x^2-10x-8 fully factored?

Answers

Answer:7678

Step-by-step explanation:

Answer:

Step-by-step explanation:

Which of the following best describes the English expression the product of
nine and a number minus five?

Answers

Answer:

9n-5

Step-by-step explanation:

Let n=the number:

9n-5

9n-5
Nine and a number minus five

Reflect triangle A in the line y=x
please can you just state all the coordinates to make up the triangle

Answers

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).

Which equation is equivalent to

(1/3)^x= 27^X+2

Answers

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

Solve the equation.

y + 6 = –3y + 26

Answers

Answer: y=5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

y+6=-3y+26

Taking like terms to both side, y+3y=26-6

4y=20(Dividing both sides by 4)

y=5

Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form

Answers

Answer:

y=10x-15

Step-by-step explanation:

with the points given you know x=2 and y=5

make a new point called (x,y)

now use the formula (y-5)/(x-2)=10 (10 being the gradient)

y-5 = 10(x-2)

y-5=10x-20

add 5 to both sides

y-5+5=10x-20+5

y=10x-15

Since we're given a point and a slope, we can write

the equation of this line using the point-slope formula.

The point-slope formula is shown at the top of the image below.

The given point, (2,5), represents (x1,y1).

Now plug in the information to get the equation below.

Now you can distribute the 10.

Then add 5 to both sides.

You will end up with the equation y = 10x - 15 as your answer.

What is the following product?
Sqrt 30 • sqrt 10
2 sqrt 10
3 sqrt 10 4 Sqrt 10
10 sqrt 3

Answers

Answer:

10 sqrt 3.

Step-by-step explanation:

sqrt30 = sqrt10 * sqrt 3

so sqrt30 * sqrt10

= sqrt10 * sqrt10 * sqrt3

= 10 sqrt 3.

Answer:d

Step-by-step explanation:

What are the x-intercepts of y=4x^2-16

Answers

Answer:

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

Step-by-step explanation:

To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:

[tex]4x^2-16=0[/tex]

Factor:

[tex]4(x^2-4)=0 \\\\4(x-2)(x+2)=0 \\\\x=2,-2[/tex]

The x intercepts are at (-2,0) and (2,0). Hope this helps!

Answer:

The x intercepts are -2 and 2

Step-by-step explanation:

y=4x^2-16

Set equal to zero to find the x intercepts

0 =4x^2-16

Factor

0 = 4(x^2 -4)

Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)

0 = 4(x-2) (x+2)

Using the zero product property

0 = x-2   0 = x+2

x =2          x = -2

The x intercepts are -2 and 2

if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?

Answers

Answer:

771

Step-by-step explanation:

Answer:

771

Step-by-step explanation:

the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?​

Answers

Answer:

c. 2.2%

Step-by-step explanation:

The total number of all students in all fields, male and female is 4663.

There are 103 female research scientists.

p(female scientist) = 103/4663 = 0.022 = 2.2%

What is the volume in cubic units of a cube with a side length of 1/2 unit?

Answers

Answer:

1/8

Step-by-step explanation:

[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]

The volume of the cube is 1/8^2 units.

A cube consists 6 squares. Squares can be easily be recognized because of one trait, they have equal side lengths on all 4 sides.

By knowing that a cube consists of only squares, you can immediately figure out that all sides of the cube are also 1/2 unit.

The formula for a cube is l*w*h. With that being said you then would multiply 1/2 by itself three times. This can be written out as 1/2*1/2*1/2 or 1/2^3 (which is why the exponent 3 is considered “cubed”.)

Multiplying 1/2 by itself three times will then look like this: 1/2*1/2=1/4*1/2=1/8 or just 1/2*1/2*1/2=1/8

The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?

Answers

Answer:

4 units

Step-by-step explanation:

Length would be 6 units and width would be 4 units

6*4 = 24 proving my claim to be true

Answer:

Width = 4 units

Step-by-step explanation:

Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;

[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]

The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );

[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]

As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.

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