Which of the following equations has infinitely many solutions? A. 2x + 5(2x + 6) = 12x + 30 B. 2x + 5 = 2 C. 2(x + 5) + 2 = 6x + 2(x + 2) D. 5x + 2 = 2x + 6

Answers

Answer 1

Answer:

A. 2x + 5(2x + 6) = 12x + 30

Step-by-step explanation:

Infinitely many solutions means the two sides of the equation will be equal to each other, so B and D can be eliminated. Distribute for A and C to check

A. 2x + 5(2x + 6) = 12x + 30

    2x + 10x + 30 = 12x + 30

    12x + 30 = 12x + 30

C. 2(x + 5) + 2 = 6x + 2(x + 2)

    2x + 10 + 2 = 6x +2x + 4

     2x + 12 = 8x + 4

You only get the same equation for A, therefore A is the correct answer


Related Questions

30 POINTS!!!



What is the approximate rate of change of this function on the interval [-2, 2]
A.-9/8
B.-7/2
C. 8/7
D. 4

Answers

Answer:A

Step-by-step explanation:

The approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

The interval given as:  -2 ≤ x ≤ 2

Let (x_1,y_1) = (-2, 2)  and  (x_2,y_2) = (2, -2.5)

The rate of change

[tex]\dfrac{y_2-y_1}{x_2-x_1}\\\\\\=\dfrac{-2.5-2}{2+2} \\\\=\dfrac{-4.5}{4}\\\\=-\dfrac{9}{8}[/tex]

Therefore, the approximate rate of change of this function on the interval [-2, 2] is Option A; -9/8.

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At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?

Answers

Answer:

Michael bought 18 tacos and 9 burritos.

Step-by-step explanation:

Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:

1.29 x 20 + 2.19 x 10 = 47.7

1.29 x 16 + 2.19 x 8 = 38.16

1.29 x 18 + 2.19 x 9 = 42.93

So Michael bought 18 tacos and 9 burritos.

NED HELP ASAP PLEASE
On a unit circle, the terminal point of 0 is (1/2,square root 3/2). What is 0 if 0°< 0<360°?
A. 45°
B. 15°
C. 30°
D. 60°
No links please

Answers

The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (1/2,square root 3/2), is 60°.

What is a terminal point?

The terminal point of a circle or circular path is the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.

On a unit circle, the terminal point of θ is,

[tex]\left(\dfrac{1}{2},\dfrac{\sqrt{3}}{2}\right)[/tex]

The image of the unit circle is attached below. The value of theta at terminal point (1/2,square root 3/2) is 60 degrees.

Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (1/2,square root 3/2), is 60°.

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Answer:

Step-by-step explanation:

Its D, 60 degrees

I just took it

What is the surface area of the square pyramid?

Answers

Answer:

Right square pyramid

Solve for surface area

A=a2+2aa2

4+h2

a Base edge

Enter value

h Height

Rylee is learning about prime numbers in math class. Her friend ask her to name all prime number between 10 and 20. What numbers should Rylee name

Answers

Answer:

11, 13, 17, 19

Step-by-step explanation:

If you look at the prime numbers chart between 10 and 20, there are:

11, 13, 17, 19

Those are all of the prime numbers that are between 10 and 20.

Paula donate $30 to charity for every hundred dollars last summer she earned $3680 how much money did she donate to charity

Answers

$123 if we round to the nearest whole number

Answer:

ok all it is 3680 divided by 30 witch equals 122 dollars she got back

Step-by-step explanation:

How many solutions does y=3x+1 and y=x+1 have?

Answers

46764need photo ryyiouttgg

184 is what percent more than 148

Answers

9514 1404 393

Answer:

  24.3%

Step-by-step explanation:

The percent change can be calculated as ...

  pct change = ((new value)/(old value) -1) × 100%

  = (184/148 -1) × 100%

  = (1.243243... -1) × 100% ≈ 24.3%

184 is about 24.3% more than 148.

Which values are solutions to the inequality below? Check all that apply.

x² < 144

What are the two answers for this and how do I complete this problem?

Answers

9514 1404 393

Answer:

  -12 < x < 12

Step-by-step explanation:

It helps to think about what this looks like on a graph.

y = x² describes a parabola that has its vertex at the origin and opens upward. You know that 12² = 144, so the value of x² will exceed 144 when the value of x is more than 12. You also know the parabola is symmetric about the y-axis, so the same will be true for values of x less than -12.

The one solution to the inequality is ...

  -12 < x < 12

__

You can also go at this slightly differently--a way you might want to use for more complicated quadratic inequalities. Put the inequality in standard form, and factor it.

  x² -144 < 0

  (x +12)(x -12) < 0

Note that these factors are zero for x = -12 and for x = 12. The solution is the set of values of x where the sign of the product is negative.

The sign of the product of two numbers will be negative when one of them is negative and the other is positive. Since the zeros of this product are -12 and +12, the sign of the product will be different in the intervals (-∞, -12), (-12, 12), and (12, ∞). In the left-most of these intervals, both factors are negative, so the product is positive and the interval is not part of the solution set.

For the middle of these intervals, (-12, 12), the sign of (x+12) is positive and the sign of (x-12) is negative. The product will have a negative sign, so this interval is part of the solution set.

For the rightmost interval (12, ∞), both factors have positive signs, so the product is positive and the interval is not in the solution set.

Based on the analysis of the signs of the factors, we realize the solution to the inequality is the interval (-12, 12), or -12 < x < 12.

_____

The wording of your question suggests you are given a list of numbers and asked to identify those that satisfy the inequality. We don't see that list, so we can only tell you the set of numbers the solutions must be in.

Note that -12 or +12 are not solutions to this.

20 POINTS PLS AWNSER

Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store. Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each. The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. What is the most appropriate domain of the function?

A) all integer values of x

B all positive integer values of x

C OsXs 2 where x is an integer

D OsXs 3 where x is an integer​

Answers

A, all integer values of x

The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases. The most appropriate domain of the function; A) all integer values of x.

How to evaluate a given mathematical expression with variables if the values of the variables are known?

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

The function is a type of relation, or rule, that maps one input to a specific single output.

Tyson has a $50 gift card to use at a store. He does not have any additional money to spend at the store.

Tyson will purchase a belt that costs $8 and x number of shirts that cost $15 each.

The function f(x) = 42 - 15x models the balance on the gift card after Tyson makes the purchases.

The most appropriate domain of the function;

A) all integer values of x

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Multiply the polynomials (y −5)(2y+ 3)

Answers

Answer:

(-3 + -2y)(5 + -1y) = 0

Step-by-step explanation:

Simplifying

(y + -5)(2y + 3) = 0

Reorder the terms:

(-5 + y)(2y + 3) = 0

Reorder the terms:

(-5 + y)(3 + 2y) = 0

Multiply (-5 + y) * (3 + 2y)

(-5(3 + 2y) + y(3 + 2y)) = 0

((3 * -5 + 2y * -5) + y(3 + 2y)) = 0

((-15 + -10y) + y(3 + 2y)) = 0

(-15 + -10y + (3 * y + 2y * y)) = 0

(-15 + -10y + (3y + 2y2)) = 0

Combine like terms: -10y + 3y = -7y

(-15 + -7y + 2y2) = 0

Solving

-15 + -7y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.

(-3 + -2y)(5 + -1y) = 0

Answer: 2y^2−7y−15

Hope this helps :)

function g is a transformation of function f using a horizontal shift 3 units left and vertical compression by a factor of 1/2 . plot the corresponding point on function g. ​

Answers

9514 1404 393

Answer:

  g(x) = x + 1

Step-by-step explanation:

The transformation "shift left 3 units" is accomplished by replacing x in the function definition by x+3.

F(x) is defined as ...

  f(x) = 2x -4

Then the left shift gives ...

  f(x +3) = 2(x +3) -4 = 2x +2

__

The transformation "vertical compression by a factor of 1/2" is accomplished by multiplying the function by 1/2.

  g(x) = 1/2f(x +3) = (1/2)(2x +2)

  g(x) = x +1

__

In the attached, we wanted to show where the table points would end up if they were shifted left 3, then moved half their vertical distance toward the x-axis (compression by 1/2). Doing that, the points in the first table become the points in the second table. This is different from what you get when you simply substitute the same values of x into the new function g.

Consider, for instance, the bottom left point on the red graph. When it is moved 3 left, its coordinates are (-3, -4). When the y-coordinate is cut in half, its new location is (-3, -2), the bottom left point on the blue graph.

Split the following into partial fractions.

1. x

(x+2)(x+3).

2. 11−3x

x2+2x−3

.

3. 2x

2−9x−35

(x+1)(x−2)(x+3).

4. x

3−2x

2−4x−4

x2+x−2

.

5. 2x+3

(x−2)3

.

6. 3+6x+4x

2−2x

3

x2(x2+3) .​

Answers

Answer:

Go on a calotor

Step-by-step explanation:

You can do this I know you can

A cookie jar has 9 chocolate chip cookies, 17 peanut butter cookies, and 17 sugar cookies inside of it. The cookie monster's favorite cookies are chocolate chip cookies. What is the probability that the cookie monster will be disappointed and doesn't get his favorite cookie? Round your answer to the thousandths place.

Answers

Answer: 4.78

Step-by-step explanation:

add up all the cookies and then divide by his favorite.

Answer:I got 2500%

Step-by-step explanation:so first I added 17+17 then you subtract 9 so that gives you 25 then if you convert it into a percentage you would be 2500.

What is the expected value of the spinner shown?

Answers

I think the answer is C, Good luck

Answer:

4.5

Step-by-step explanation:

The Person who said C was correct but im just adding how to get it, just in case they ask you to show your work.

To find this answer you multiply each value by their probability, so 1 times 1/8, 2 times 1/8, 3 times 1/8, etc and all it all up.

Another way to find the answer is to add up all the values possible, 1+2+3+4+5+6+7+8, then divide by the amount of possibilities, in this case 8 because there are 8 sections on the spinner. This also gets you 4.5.

M
10
H
32
L
12.5 G
40
N
Similar By:
ALMN ~

Answers

Answer:

Step-by-step explanation:

Similar by 10

△LMN~40

I think hold on

yea its the right answer

CAN SOMEONE PLEASE HELP ME IVE ASKED MORE THAN 20 TIMES.

A wildlife society is taking a sampling of the lengths of bluegill fish at a local lake.


If the survey resulted in the data above, the distribution of fish lengths would be best described as...
A.
symmetrical with multiple modes.
B.
symmetrical with one mode.
C.
skewed to the right.
D.
skewed to the left.

Answers

Answer:

I’m thinking skewed to the right

Answer:

I think it is D but not totally sure.

And i am sorry you had to ask so many times, i hope D was the correct answer.

Also this talks about skewed images:

You need to buy pizzas for a class party. You can buy 4 large
pizzas for $10.00, or 7 large pizzas for $19.25. Which is the better
buy?

Answers

Answer:

4 pizzas for 10

Step-by-step explanation:

Divide the prices by the number of pizzas and you will get the prices per pizza.

2.50$ per pizza for 4

2.75$ per pizza for 7

4 large pizza since it would be 8 for $20 rather than 7 for 19.25
Or
4 pizza for $10 is $2.50 each rather than 2.75 each

plz help no Links only answers

Answers

Answer:

x=45

Step-by-step explanation:

First, we can add the two expressions and set them equal to 180.

3x+45=180

To isolate x, we can subtract 45 from each side, getting:

3x=135

Next, we can divide both sides by 3 to further isolate x. In the end, we get x=45.

Mrs. Golden wants to cover her bulletin board that is 6.5 feet long and 4 feet tall. if she using 1

foot squares to cover the board, how many squares will she need?

Answers

Answer:  26

Step-by-step explanation:

6.5 feet long and 1-foot square means 6.5 (6 and 1 half) squares in length

4 feet tall, 6.5 times 4 (length times width) to equal 26 feet

if it's 26 feet, that means it will use 26 of the 1-foot squares

What is the slope for coordinates (-1,3) (0,0) (1,-3)

Answers

Answer:

-3

Step-by-step explanation:

The slope should be -3 since the rise is -3 and the run is 1 it would be -3/1.

Which is a positively skewed distribution?

Answers

Answer:

to me it looks like B but i could be wrong

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

(A.P.E.X)

Question 8 of 10 What is the median of this data set? 14, 18, 31, 34, 44, 50 AL32.5 O B. 33 C. 31.5 D. 31​

Answers

Answer:

a

Step-by-step explanation:

33.3% as a fraction please helppppppppppp

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

1/3 is the fraction form of 33.3% or 0.333

What is the range of h

Answers

I believe it is b? I can’t see it being a or d, but it might be c if it’s the points.

Can someone tell me what is 3/20 x 100?

Answers

Answer:

15

Step-by-step explanation:

Answer:

300/20 = 15

Step-by-step explanation:

There are a number of ways to solve this problem, but I will show you the easiest way.

3/20 x 100/1 =

First, do 3 x 100. This gives you 300.

Next, do 20 x 1. This gives you 20.

So now, your answer is 300/20.

300 divided by 20 is 15, so this simplified version of 300/20 is 15!

300/20 = 15 (simplified)

which system of equations has no solution?

Answers

It’s either the third one or first one

a woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How okd is her mother now?

Answers

Answer:

48 yr. old

Step-by-step explanation:

Assume daughter is 4 and mom is 10 times her age,  so mom is 40.

10 (woman) * 4 (daughter's age) = 40 yr. old mom

Present day...

40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today

4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today

So, if mom is 4 times as her daughter's age today...

48 (yr. old mom) / 12 (yr. old daughter) = 4

Can someone help me?

Answers

20%
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please answer ill give you brainiest

Answers

Answer:

V =3.14 ( 2)^2 2.5  ft^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Using 3.14 for pi

The diameter is 48 so the radius is 1/2 d = 1/2(48) =24inches and the height is 2.5 ft

We need to have the same units on the radius as the height

24 inches = 2 ft

V =3.14 ( 2)^2 2.5  ft^3

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