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3 years ago

5x+3x=420 12x+9=1080 What does x and y equal?

Mathematics

2 answers:

Korvikt [17]3 years ago

7 0

Answer:

8x-55818-t

Step-by-step explanation:

Over [174]3 years ago

6 0

PLEASE MARK BRAINLIEST!

Answer for 5x+3x=420

Step 1: Simplify both sides of the equation.

5x+3x=420

(5x+3x)=420(Combine Like Terms)

8x=420

Step 2: Divide both sides by 8.

$\frac{8x}{8}$ = $\frac{420}{8}$

x = $\frac{105}{2}$

Answer for 12x+9=1080

Step 1: Subtract 9 from both sides.

12x+9−9=1080−9

12x=1071

Step 2: Divide both sides by 12.

$\frac{12x}{12}$ = $\frac{1071}{12}$

x = $\frac{357}{4}$

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Carter is solving for x by the process of completing the square for the following

Ksenya-84 [330]

Answer:

The number that goes in place of the question mark is 2.

Step-by-step explanation:

Let's solve it!

3x² + 12x - 24 = 0

First we can factor 3 out of each term:

x² + 4x - 8 = 0

Now we'll add 12 to both sides to complete the square:

x² + 4x + 4 = 12

And finish it off:

(x + 2)² = 12

So the answer to the question is 2

Bonus:

We can also now solve this for x:

(x + 2)² = 12

x = √12 - 2

x = 2√3 - 2

x ≈ 2 × ±1.732 - 2

x ≈ 1.464, -5.464

3 0

3 years ago

NO LINKS!!

yan [13]

Answer:

$y=-\dfrac{1}{2}(x+4)^2-1$

Step-by-step explanation:

Vertex form: $y=a(x-h)^2+k$

where:

$(h, k)$ is the vertex
$a$ is some constant

Given:

vertex = (-4, -1)
point on parabola = (-2, -3)

Substitute given values into the formula to find $a$ :

$\implies -3=a((-2)-(-4))^2+(-1)$

$\implies -3=a(2)^2-1$

$\implies -3=4a-1$

$\implies -2=4a$

$\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}$

Therefore, the equation of the parabola is:

$y=-\dfrac{1}{2}(x+4)^2-1$

6 0

2 years ago

Read 2 more answers

How do i add <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B10%7D%20plus%20%5Cfrac%7B2%7D%7B3%20%7D%5C%5C" id="TexFormula1"

antoniya [11.8K]

$-\dfrac{3}{10}+\dfrac{2}{3}=\dfrac{2}{3}+\left(-\dfrac{3}{10}\right)=\dfrac{2}{3}-\dfrac{3}{10}\\\\\text{We must find the common denominator.}\\\\Multiples\ of\ 3:0,\ 3,\ 6,\ 9,\ 12,\ 15,\ 18,\ 21,\ 24,\ 27,\ \boxed{30},\ 33,\ 36,...\\\\Multiples\ of\ 10:\ 0,\ 10,\ 20,\ \boxed{30},\ 40,\ 50,\ 60,...\\\\\dfrac{2}{3}=\dfrac{2\cdot10}{3\cdot10}=\dfrac{20}{30}\\\\\dfrac{3}{10}=\dfrac{3\cdot3}{10\cdot3}=\dfrac{9}{30}\\\\\dfrac{2}{3}-\dfrac{3}{10}=\dfrac{20}{30}-\dfrac{9}{30}=\dfrac{20-9}{30}=\dfrac{11}{30}$

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3 years ago

Julie bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be c

V125BC [204]

Answer is D.) 48π ft²

Given:
3 circular rugs.
radius: 4 ft

Area of a circle = π r²
A = 3.14 * (4ft)²
A = 3.14 * 16ft²
A = 50.24 ft²

Total area of 3 rugs

50.24 ft² * 3 rugs = 150.72 ft²

Equation leaving π.

150.72ft² ÷ 3.14 = 48ft²

D.) 48π ft²

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3 years ago

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QUESTION 1 (3 points)

Darina [25.2K]

A) Increase. This is because the mean of the first two cars is smaller than the mean of all three cars.

b) Cannot be determined. Need more values.

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3 years ago