All categories

3 years ago

Solve for x. {x}{3}+2=-13

1 answer:

8 0

Step 1: Simplify both sides of the equation.
3
x
+
2
=
−
13
Step 2: Subtract 2 from both sides.
3
x
+
2
−
2
=
−
13
−
2
3
x
=
−
15
Step 3: Divide both sides by 3.
3
x
3
=
−
15
3
x
=
−
5

You might be interested in

What is the area of the figure if x = 25 cm and y=20 cm?<br> Use 3.14 to approximate it.

Akimi4 [234]

The area of the circle is 6,358.5cm²

<h3>Area of the circle</h3>

The formula for calculating the area of a circle is expressed as;

A = πr²

r is the radius = x + y

r = 25 + 20 = 45cm

Substitute the given parameters into the formula to have:

A = 3.14(45)²

A = 6,358.5cm²

Hence the area of the circle is 6,358.5cm²

Learn more on area of a circle here; brainly.com/question/10645610

4 0

2 years ago

What is the factorization of 3x2 – 8x + 5?

ELEN [110]

we have

$3x^{2} -8x+5$

Equate the expression to zero to find the roots

$3x^{2} -8x+5=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$3x^{2} -8x=-5$

Factor the leading coefficient

$3(x^{2} -(8x/3))=-5$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$3(x^{2} -(8x/3)+(16/9))=-5+(16/3)$

$3(x^{2} -(8x/3)+(16/9))=(1/3)$

Rewrite as perfect squares

$3(x-(4x/3))^{2}=(1/3)$

$(x-(4x/3))^{2}=(1/9)$

square roots both sides

$(x-\frac{4}{3})=(+/-) \sqrt{\frac{1}{9}}$

$x=\frac{4}{3}(+/-) \frac{1}{3}$

the roots are

$x=\frac{4}{3}+ \frac{1}{3}=\frac{5}{3}$

$x=\frac{4}{3}- \frac{1}{3}=\frac{3}{3}=1$

$3x^{2} -8x+5=3(x-\frac{5}{3})(x-1)=(3x-5)(x-1)$

therefore

<u>the answer is the option</u>

$(3x-5)(x-1)$

6 0

3 years ago

Read 2 more answers

At the local grocery store a 16 ounce bottle of apple juice costs $3.20 what is the cost of the apple juice per ounce

kenny6666 [7]

Answer:

0.2$

Step-by-step explanation:

3.20/16 = 0.2

5 0

3 years ago

What is the value of t?

solmaris [256]

Answer:

A) t = -3

Step-by-step explanation:

We have the expression $\frac{(t-12)}{2}=\frac{3t}{2}-3$ and we have to find the value of t.

First we are going to reorder the expression:

$\frac{(t-12)}{2}=\frac{3t}{2}-3\\\\3=\frac{3t}{2}-\frac{(t-12)}{2}\\\\3=\frac{3t-t-(-12)}{2}\\\\3=\frac{2t+12}{2}$

Now we have to multiply each side by 2,

$3=\frac{2t+12}{2}\\\\3.2=\frac{2t+12}{2}.2\\\\6=2t+12$

Subtract (-12) in both sides,

$6=2t+12\\6-12=2t+12-12\\-6=2t$

Divide both sides in 2,

$-6=2t\\\frac{-6}{2} =\frac{2t}{2} \\-3=t$

The answer is option A) t = -3.

6 0

3 years ago

Use substitution to solve the<br> following system of equations.<br> 9x + 5y = 32 AND y = -3x + 4

Darya [45]

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10

4 0

2 years ago