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3 years ago

Which is the slope of the line with equation 7 x − 3 y = 21 ?

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

Answer:

slope = $\frac{7}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 7x - 3y = 21 into this form

Subtract 7x from both sides

- 3y = - 7x + 21 ( divide all terms by - 3 )

y = $\frac{7}{3}$ x - 7 ← in slope- intercept form

with slope m = $\frac{7}{3}$

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Find the solutions of the quadratic equation by finding the square root: x2 - 3 = 7.

Masja [62]

Answer:

Step-by-step explanation:

1. Let us add 3 to either side of the equation: x^2 - 3 + 3 = 7 + 3

2. That equation would simplify to: x^2 = 10

3. Now let us take the square root on either side: √x^2 = √10

4. Being square root of x^2, we could say that: | x | = √10

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3 years ago

given 2 parallel lines and a transversal that intersects both parallel lines what must be true about pairs of corresponding angl

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If two parallel lines are cut by a transversal, the corresponding angles are congruent.

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3 years ago

The weights of certain machine components are normally distributed with a mean of 5.19 ounces and a standard deviation of 0.05 o

Brums [2.3K]

Answer:

The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.

Step-by-step explanation:

We are given that

Mean, $\mu=5.19$

Standard deviation, $\sigma=0.05$

We have to find the two weights that separate the top 8% and the bottom 8%.

Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.

Z-value for p-value =0.08 = $-1.41$

For 8% bottom

$Z=\frac{x_1-\mu}{\sigma}=-1.41$

$\frac{x_1-5.19}{0.05}=-1.41$

$x_1-5.19=-1.41\times 0.05$

$x_1=-1.41\times 0.05+5.19$

$x_1=5.1195$

For 8% top

p-Value=1-0.08=0.92

Z- value=1.41

Now,

$\frac{x_2-5.19}{0.05}=1.41$

$x_2-5.19=1.41\times 0.05$

$x_2=1.41\times 0.05+5.19$

$x_2=5.2605$

(x1,x2)=(5.1195,5.2605)

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