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Blizzard [7]
3 years ago
7

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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The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 16 years old. I
Vladimir [108]
Four children average is 15.25 so ages must add to 61
61-12-16=33
11 and 22 go into 33
Youngest is 11
6 0
2 years ago
PLZ HELP MEEE I REALY NEED IT PLZ SHOW YOUR WORK I NEED THE WORK TO BE SHOWN!!!
Anika [276]

Answer:

B.

Step-by-step explanation:

A.

Income: 600,000 + 600,000 + 400,000 =

$1,600,000

Expenses: 400,000 + 500,000 + 600,000 =

$1,500,000

B .

Expenses: 600,000 + 700,000 =

$1,300,000

Income: 400,000 + 600,000 =

$1,000,000

1,300,000 - 1,000,000 = $300,000

C.

Expenses:

Year 1: 400,000

+ 100,000 =

Year 2: 500,000

+ 100,000 =

Year 3: 600,000

+ 100,000 =

Year 4: 700,000

+ 100,000 =

Year 5: 800, 000

Adds 100,000 each year not 200,000.

D.

Income:

Year 1: 600,000 x 2 =

$1,200,000

Year 5:

$900,000

7 0
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:

<em>x = - √10, and x =√10</em>

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

5. And thus 2 answer may be derived from this equation provided absolute value symbol ( | | ): <em>x = - √10, and x =√10</em>

3 0
3 years ago
given 2 parallel lines and a transversal that intersects both parallel lines what must be true about pairs of corresponding angl
Phantasy [73]

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

3 0
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)

4 0
3 years ago
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