Which of the following are solutions to |x+3|= 4x- 7

Answer:

Rewrite the equation as 28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=(7a^2+2a−3)(4a^2−1)

Simplify (7a^2+2a−3)(4a^2−1).

28a^4+ma^3−19a^2−2a+3=28a^4−19a^2+8a^3−2a+3

Move all terms not containing m to the right side of the equation.

ma^3=8a^3

Divide each term by a3 and simplify.

m=8

Step-by-step explanation:

Hope to help you

Answer:

m=-4,-2

Step-by-step explanation:

Hi there!

What we need to know:

1) Rearrange the given equation into standard form

This will help us determine the a, b and c values.

[tex]m^2+6m=-8[/tex]

Add 8 to both sides

[tex]m^2+6m+8=0[/tex]

Now, we can see that a=1, b=6 and c=8.

2) Plug a, b and c into the quadratic formula

[tex]m=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\\m=\frac{-6\pm\sqrt{6^2-4(1)(8)} }{2(1)}\\m=\frac{-6\pm\sqrt{4} }{2}\\m=\frac{-6\pm2 }{2}\\m=-3\pm1 \\m=-4,-2[/tex]

I hope this helps!

Answer:

answer is 8

Step-by-step explanation:

take Lcm of 8 and 32

Answer:

8

Step-by-step explanation:

Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

hope it helps.

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

[tex] {y}^{4} \times {y}^{8} = y8 + 4 = {y}^{12} [/tex]

Answer:

1/4

Step-by-step explanation:

Probability is: (ways to get a desired result) / (total possible outcomes)

Choosing a yellow ball would be a desired result.

So, using the numbers that the question gives us,

(3 ways to get a yellow ball) / (12 golf balls total) =

3 / 12 =

1 /4

The answer is 1/4 chance.

Answer:

3/12 0r 1/4 <--- Simplified

Step-by-step explanation:

so there are 3 yellow which are in 12 gold balls so

it would be 3/12 or simplified 1/4

Answer: B

Step-by-step explanation:

If you change them all to decimals.

4.8% = .048

1/20 = .05

4.1 x [tex]10^{-1}[/tex] = .41

[tex]\sqrt{4}[/tex] = 2

So, that would be least to greatest.

Answer:

D

Step-by-step explanation:

Answer:

$11.50

Step-by-step explanation:

Since it's 7 cents to buy 1 print, you do 7 times 50 = 350 cents for 50 prints which is $3.50 so then we do $15.00 - $3.50 = $11.50

Therefore, the remaining balance on the card is $11.50

Please mark my answer as brainliest, it will help a lot.

Answer:

4

Step-by-step explanation:

Using the rule of exponents

[tex]a^{0}[/tex] = 1

Then

4[tex](57ab)^{0}[/tex] = 1 and

4[tex](57ab)^{0}[/tex] = 4 × 1 = 4

Answer:

4

Step-by-step explanation:

since 57ab has power 0 it is equal to 1

1×4 is 4

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Answer:

A

Step-by-step explanation:

Median can be described as the number that occurs at the middle of a set of observations.

for example, in the set of numbers, 1 2 3 4 5, the median is 3

median = (first number + last number) / 2

If there are 29 students,

median = (1 + 29) / 2 = 30/2 = 15

the 15th students scored 84

and students between 1 - 14 scored lower than 84

so, 15 students scored an 84 or lower

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ2

The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Given:

The figure of two triangles.

To find:

The similarity statement for the given triangles.

Solution:

The corresponding sides of similar triangles are proportional.

In the given triangles,

[tex]\dfrac{XY}{AB}=\dfrac{6}{12}[/tex]

[tex]\dfrac{XY}{AB}=0.5[/tex]

Similarly,

[tex]\dfrac{YZ}{BC}=\dfrac{3}{6}[/tex]

[tex]\dfrac{YZ}{BC}=0.5[/tex]

And,

[tex]\dfrac{XZ}{AC}=\dfrac{7}{14}[/tex]

[tex]\dfrac{XZ}{AC}=0.5[/tex]

Since [tex]\dfrac{XY}{AB}=\dfrac{YZ}{BC}=\dfrac{XZ}{AC}[/tex], therefore

[tex]\Delta XYZ\sim \Delta ABC[/tex]

It can be written as:

[tex]\Delta ZYX\sim \Delta CBA[/tex]

Therefore, the correct option is A.

Answer:

1400

Step-by-step explanation:

hope that helps <3

Answer:113

Step-by-step explanation:

Answer:

range would be 19

Step-by-step explanation:

Answer:

I have to say -282

Step-by-step explanation:

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

$2284.6

Step-by-step explanation:

Given data

Principal= $200

Rate= 7%

Time= 1980-2016= 36 years

The expression for the exponential model is given as

A= P(b)^t

b=1+r-----------because will are dealing with increase

A= P(1+r)^t

A=200(1+0.07)^36

A= 200(1.07)^36

A= 200*11.423

A=$2284.6

The value of the card is $2284.6

Answer:

20/100*x=$30

20x/100=$30

x/5=$30

x=$30*5

x=$150

Step-by-step explanation:

20 percent of 150 equals 30 so 150 times 20 percent would give you 30

Answer:

x = -6

Step-by-step explanation:

1/3(x-9)=2x+7

1/3x - 3 = 2x + 7

-5/3x = 10

x = -6

Answer:

The actual distance between the houses is 18.9 miles.

Step-by-step explanation:

The exact question is as follows :

Given - On a​ map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.

To find - What is the actual distance between the​ houses?

Solution -

Given that,

1 inch = 5.4 miles

⇒3.5 inches = 3.5 × 5.4 miles

                 = 18.9 miles

∴ we get

The actual distance between the houses is 18.9 miles.

Answer:

Step-by-step explanation:

let girls be x

3/4=12/x(do cross multiplication)

12*4=3x

48/3=x

16=x

therefore there are 16 girls

Answer:

16 girls

Step-by-step explanation:

Set up a proportion. Let x = the number of girls.

3 / 4 = 12 / x

Cross multiply:

3x = 48

x = 16

Answer:

please provide an image so we know what to solve

Answer:

Subtract 1/3 from 2/3 dont forget to add the variable h!

1/3h + 11 = 8

-11            -11

1/3h = -3

Now we multiply by 3 on both sides

H = -9

Answer:

Step-by-step explanation:

21 is the side opposite the angle you want.

67 is the hypotenuse. Those two sides define the Sin

Sin(theta) = opposite / hypotenuse

Sin(theta) = 21 / 67

Sin(theta) = .313432

theta or x = sin-1(0.313432)

x = 18.27

Sorry, I must have hit the wrong key the first time.

Answer:

18.27˚

Step-by-step explanation: