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lara [203]
1 year ago
12

The equation y = mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for x

in terms of y?
Mathematics
1 answer:
MariettaO [177]1 year ago
7 0

By first subtraction b and then dividing by m, the solution of the linear equation for x is:

(y - b)/m = x

<h3>How to solve the linear equation for x?</h3>

Here we have a linear equation that defines the variable y in terms of the variable x:

y = m*x + b

Where m and b are real numbers.

Now we want to find x in terms of the variable y, this means that we need to isolate the variable x.

if first we subtract b in both sides, we get:

y - b = m*x + b - b

y - b = m*x

If now we divide both sides by m, we get:

(y - b)/m = m*x/m

(y - b)/m = x

This is the linear equation solved for x.

Learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

Z_{\alpha /2} = Z_{0.025}= -1.96

Z_{1-\alpha /2} = Z_{0.975}= 1.96

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u>    17-15     </u> = 1.99

     σ/√n              5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0
3 years ago
When five times a number is decreased by 8, the result is 7. What is the number?<br> The number is
kumpel [21]

Answer:

3

Step-by-step explanation:

5x - 8 = 7

5x = 7+8

5x = 15

x = 15 ÷ 5

x = 3

6 0
3 years ago
Explain what needs to be fixed.<br> 2n + 10 = -2<br> 2n = 12 Step one<br> n = 6 Step two
Brilliant_brown [7]

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

2n=-12

STEP 2: Divide each term by 2 and simplify.

n=-6

8 0
3 years ago
Solve for x I need help again :/
vovangra [49]

Answer:

x = 6

Step-by-step explanation:

opposite sides of both angles are congruent/equal or have same measure.

Therefore:-

6x+2=38

6x=38-2

6x=36

x = 6

8 0
3 years ago
Simplify: 0.810×0.00048 all over 0.000400×0.027
elixir [45]

Answer:

36

Step-by-step explanation:

Okay! This question is a very simple one, but without a calculator, your answer could easily vary from others! So, let´s do this one together!

The equation:

0.810x0.00048/0.000400x0.027

Let´s do the top :

0.810 x 0.00048 = 0.0003888

I will leave these numbers the same until the last part, lets not round them.

Bottom:

0.0004 x 0.027 = 0.0000108

And again I am not going to round this number.

Now we can divide!

0.0003888/0.0000108 = 36

I hope this helped!

4 0
3 years ago
Read 2 more answers
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