Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)

Answers

Answer 1

Answer:

The equation has 1 solution.

Step-by-step explanation:

Because you don't get the same answer on both sides, this equation does not have infinately many solutions. Because you don't get an invalid answer, such as 1 = 0, this equation doesn't have one solution. When you solve this equation, you'd get something similar to this

9x-2 = -4x-24 (distributive property)

13x-2=-24 (combine like terms)

13x=-22 (additive property of inversion)

x = -22/13

which is a valid, real-world solution.


Related Questions

Multiply the polynomials. (x-3)(x^2+2x+1)

Answers

Answer:

[tex]x^{3} -x^{2} -5x-3[/tex]

Step-by-step explanation:

you use distributive property for this, or you can do the box method

distributive:

[tex]x(x^{2} +2x+1)-3(x^{2} +2x+1)[/tex] (you multiply the second equation by x-3)

then distribute, or multiply everything

[tex]x^{3} +2x^{2} +x-3x^{2} -6x-3[/tex]

then collect like terms

[tex]x^{3} -x^{2} -5x-3[/tex]

Answer is x^3-x^2-5x-3.
See attached photo.

A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle.

True or false??

Answers

Given:

The given statement is "A circle is dilated by a scale factor of 1.5 to create a new circle. The area of the new circle is 1.5 times the area of the original circle."

To find:

Whether the given statement in true or false.

Solution:

Area of circle is

[tex]A=\pi r^2[/tex]

Where, r is the radius of the circle.

Let [tex]r_1[/tex] be the radius of the original circle. So, the area of the circle is

[tex]A_1=\pi (r_1)^2[/tex]

The circle is dilated by a scale factor of 1.5 to create a new circle. So, the radius of the new circle is:

[tex]r_2=1.5r_1[/tex]

The area of the new circle is

[tex]A_2=\pi (r_2)^2[/tex]

[tex]A_2=\pi (1.5r_1)^2[/tex]

[tex]A_2=2.25\pi (r_1)^2[/tex]

[tex]A_2=2.25A_1[/tex]

The area of the new circle is 2.25 times the area of the original circle.

Therefore, the given statement is false.

find the area of the following triangle and write your result in the empty box

Answers

Answer:

Step-by-step explanation:

Area = 1/2bh

since b = 10in and height = 6in

then

1/2 x 10 x 6

= 30

Answer:

Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30

The top of a ramp is 4 feet above the ground. The ramp makes a 21.3 degree angle with the ground. What is the length of the ramp

Answers

Answer:

Total ramp system length in feet: Includes the minimum number of 5′ x 5′ resting platforms and the 5′ x 5′ platform at the top of the ramp.

Step-by-step explanation:

hope this helps!

What is the value of x?​

Answers

Answer:

25

Step-by-step explanation:

need help ASAP.
what is the best estimate for the value of the expression?

Answers

Answer:

11

Step-by-step explanation:

u do 4x5 which is 20

Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest

Answers

Answer:

x=-2

Step-by-step explanation:

add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...

Can someone identify this

Answers

Answer:

no entindendol ingels

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

square 6, which is 36. then square 10, which is 100. then do:

100-36=64

take the square root of 64, which is 8.

Which figure will this net make

Answers

Answer:

C

Step-by-step explanation:

Rectangle base, tiny triangle sides, but rectangle top

There are 15 neon tetras and 12 betta fish in a fish tank. What is the ratio of betta fish to the total number of fish? Write the ratio on simplest form.
hint Read the question very carefully, notice the phrase "total number of fish"
need help

Answers

Answer:

12:27

Step-by-step explanation:

What is the slope of the equation that passes through the points
(-5,4) and (5,2) ?

Answers

Answer:

[tex] - \frac{2}{10} [/tex]

or

-0.2

What is the equation of a line when the slope is -1/2 and the y-intercept is 0.

Answers

Answer:

y = -1/2x + 0

y = mx+b

Step-by-step explanation:

Joe is 6 feet tall and cast a 3 foot shadow. He is standing next to a building that cast a shadow that is 20 feet long. How tall is the building.​

Answers

Answer:

40 feet

Step-by-step explanation:

Answer:

40 feet tall

Step-by-step explanation:

6/2 =3

?/2 =20

*2    *2

? = 40

you do inverse operations because 6 divided by 2 is 3... the ? is the variable for how tall the building is... ? divided by 2 = 20 so you multiply 2 and 20 to get the total height

Solve −3(7n+3)<6n. Write the solution using set-builder notation.

Answers

-1/3 is less than n.

you distribute and solve for n.

The set builder notation of the inequality  - 3(7n + 3) < 6n is,

{n : n ∈ R, n > - 3 }.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality - 3(7n + 3) < 6n.

Now, distributing the terms we get,

- 21n - 9 < 6n.

- 21n - 6n < 9.

- 27n < 9.

27n > - 9.          (Think of moving the variable to the other side to make it

                                                                                                        positive).

n > - 27/9.

n > - 3.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ2                                                                                                                                      

Solve for X. Please solve all four. First person to do so will get brainliest.

Answers

Answer:

x=-12

x=10

x=-8

x=-5

Step-by-step explanation:

Answer:

1.x=-12

2.x=10

3.x=-8

4.x=-5

Step-by-step explanation:

What is the following product?

Answers

Answer:

the image is not opening

Answer:

The answer is the third one :)

Step-by-step explanation:

I don't know how to explain it sorry

math pls help and thanks​

Answers

Answer:

Is red 3.33 triangle

Apply the distributive property to create an equivalent expression 4(x-2+y)

Answers

Answer:

4 * x

4 * -2

4 * y

4x-8+4y

Step-by-step explanation:

Answer:

4x+4y-8

Step-by-step explanation:

(✿◡‿◡) <-- she wants Brainliest


Sam paid £8 for two footballs.
One football cost £2 more than the other
What was the cost of the more expensive football?
[2 marks]
Answer

Answers

Answer:

£6    you do £8-£2= £6

Step-by-step explanation:

Answer:

£8-£2=£6

Step-by-step explanation:

Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest

Answers

Answer:

X= - 2

Step-by-step explanation:

-3 (5x+6) - 3x = 6-6x

Remove the parentheses

-15x-18-3x=6-6x

Collect the like terms

-18x-18=6-6x

Move the variable to the left-hand side and change its sign

18x+6x=6+18

Collect the like terms

-12x=24

Divide both sides

X=-2

2 1/4 times 2 1/2
SHOW YOUR WORK!!!

Answers

Answer:

45/8 or 5 5/8

Step-by-step explanation:

2 1/4. 2 times 4 is 8 plus 1 is 9 (9 over 4 (9/4)). 2 1/2. 2 times 2 is 4 plus one is 5. (5 over 8 (5/2)). 9/4 x 5/2. 9 times 5 is 45, 4 times 2 is 8.  you get the improper fraction 45/8. 45 simplified is 5 5/8. hope i helped.

Answer:

45/8 or 5 5/8

Step-by-step explanation:

When multiplying fractions, it ALWAYS so much easier to make them into improper fractions (for me at least). When doing this, multiply the denominator to the whole number and add the numerator and keep the denominator the same. So, for 2 1/4, you could use the equation 2(4) + 1 = x/4. You should get 9/4. Doing this for the other mixed fraction, you get 5/2.

Multiplying fractions is pretty straightforward after that. You don't have to change the denominators to match each other like you do when adding, instead you just multiply straight across. Multiply both of the numerators and then the denominators.

                                      Numerators: 9 x 5 = 45

                                      Denominators: 4 x 2 = 8

So, you get 45/8. If you're wanting a mixed number fraction, just divide 45 by 8. 8 goes into 40 5 times, and you get a left over number 5. Therefore, as a mixed fraction you get 5 5/8.

I don't know how you wanted me to show my work, but I tried the best I could to explain.

What is 48901x120412/12321 with a fraction of 6/9 + 29181041/21841x2912311203? It was one of my math questions couldn't find it online soooo??

Answers

4468886443222234578889953

A AAS THEOREM
B CPCTC
C SAS POSTULATE
D ASA POSTULATE

Answers

Answer:

sorry i need the points UQIWBSJSVVS

I think the answer might be AAS theorem

Giving brainliest to whoever comments the right answer first

Answers

Answer:j

Step-by-step explanation:

Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b

Answers

Answer:

Answer is A

Step-by-step explanation:

a+a+a+a+b+b =4a+2b

The answer is a
A hope that helps you

What does q equal?Please help me.

Answers

11/8 > q is the answer

Each week, Steven gets an allowance of $8 plus $3 for each chore he does. His younger sister Jill gets an allowance of $6 plus $2 per chore. Write an expression for how much their parents give Steven and Jill for each week if they do the same number of chores.

Answers

Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

What are the next three terms in the sequence? -112, -129, -146, ___________

Explain your answer.

Answers

Answer:

-163, -180, -197

Step-by-step explanation:

-146--129=-17

the difference of them is 17 so keep adding it

-163,-180,-197

The recursive formula of this sequence is:

a n =-17n-95

Multiple Choice

Look at the graph.

The graph shows a line through the points left parenthesis negative 1 comma negative 2 right parentheses and left parenthesis 2 commas 1 right parenthesis.

The slope of the line is _______.
A. positive
B. negative
C. zero
D. undefined

Answers

Answer:

the slope is POSITIVE (answer A)

Step-by-step explanation:

The line goes through: (-1, -2)  and ( 2, 1)

Then the slope can be calculated as:

slope = (y2 - y1) / (x2 - x1)

in our case:

slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1

Therefore, the slope is POSITIVE (answer A)

Will give brainliest! What is the range for the third size of the triangle 2,10?

Answers

Answer:

8 < x < 12

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of sides < x < sum of sides , that is

10 - 2 < x < 10 + 2

8 < x < 12

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