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2 years ago

How do you solve the equation of 3(x+8)=42

2 answers:

8 0

3(x+8)=42.

We move all terms to the left:

3(x+8)-(42.)=0

We add all the numbers together, and all the variables

3(x+8)-42=0

We multiply parentheses

3x+24-42=0

We add all the numbers together, and all the variables

3x-18=0

We move all terms containing x to the left, all other terms to the right

3x=18

x=18/3

x=6

Goryan [66]2 years ago

5 0

<h2>Answer: x=6</h2>

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x+8)=42

(3)(x)+(3)(8)=42 (Distribute)

3x+24=42

Step 2: Subtract 24 from both sides.

3x+24−24 = 42−24

3x=18

Step 3: Divide both sides by 3.

$\frac{3x}{3} =\frac{18}{3}$

Therefore, the correct answer is x=6

* Hopefully this helps:) Mark me the brainliest:)!!

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"EXPLAIN PLEASE" Which equation does the graph below represent

ch4aika [34]

The answer to your problem is A due to the slope of your line being -1/3x.

You can find this slope by picking two points on your graph [i.e. (-1,3) and (0,0)].

Find the difference between the two points, which is a one for the x value and a three for the y values. Now you have a slope of 1/3.

But wait! The slope is downwards, therefore a negative must be applied to your slope.

This provides you with a slope of -1/3x, therefore:

y = -1/3x

7 0

3 years ago

In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level o

ANTONII [103]

Let n = required random sample size.

Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.

6 0

2 years ago

1. What is an equation for the line with slope 2/3 and y-intercept 9?

Monica [59]

Question 1:

The generic equation of the line is given by:
$y = mx + b
$
Where,
m: slope of the line
b: cutting point with the y axis
Substituting values we have:
$y = \frac{2}3}x + 9
$
Answer:
an equation for the line with slope 2/3 and y-intercept is:
$y = \frac{2}3}x + 9$

Question 2:

The standard equation of the line is given by:
$y-yo = m (x-xo)
$
Where,
m: slope of the line
(xo, yo): ordered pair that belongs to the line
The slope of the line is:
$m = \frac{y2-y1}{x2-x1}$
Substituting values:
$m = \frac{1-(-3)}{3-1}$
$m = \frac{1+3}{3-1}$
$m = \frac{4}{2}$
$m = 2
$
We choose an ordered pair:
$(xo, yo) = (3, 1)
$
Substituting values:
$y-1 = 2 (x-3)
$
Rewriting:
$y = 2x - 6 + 1

y = 2x - 5$
Answer:
An equation in slope-intercept form for the line that passes through the points (1, -3) and (3,1) is:
$y = 2x - 5
$

Question 3:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We then have the following equation:
$-4y = 8x
$ Rewriting we have:
$y = \frac{8}{-4}x
$
$y = -2x
$ Therefore, the constate of variation is given by:
$k = -2
$
Answer:
the constant of variation is:
$k = -2$

Question 4:

For this case, since the variation is direct, then we have an equation of the form:
$y = kx
$ Where,
k: constant of variation.
We must find the constant k, for this we use the following data:
y = 24 when x = 8
Substituting values:
$24 = k8
$ Clearing k we have:
$k = \frac{24}{8} 
$
$k = 3
$
Therefore, the equation is:
$y = 3x
$ Thus, substituting x = 10 we have that the value of y is given by:
$y = 3 (10)

y = 30$ Answer:
the value of y when x = 10 is:
$y = 30$