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alina1380 [7]
3 years ago
14

Each box contains 6 pens as shown in the table. # of Boxes # of Pens 1 6 2 12 3 18 4 Which list includes only independent quanti

ties? O 1, 2, 3, 4 O 2, 4, 6,8 O 1, 2, 6, 12 O 6, 12, 18, 24​
Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

pens

Step-by-step explanation:

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo
algol13

Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.

Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

3 0
3 years ago
What is the LCM of 2, 4, and 5?
marta [7]

Answer:

20

Step-by-step explanation:

the LCM of 2, 4, and 5?

2

{2}^{2}  \times 5

7 0
2 years ago
Help Please
pantera1 [17]
7.1 degrees.
5.7-(-1.4)
5.7+1.4= 7.1

Hope I helped!
3 0
2 years ago
What is f(4) for the function f(x)= 6x+7?
elena-14-01-66 [18.8K]

Answer:

31

Step-by-step explanation:

f(4) = 6x4 + 7

= 24 + 7

= 31

7 0
3 years ago
Can someone please help me answer this
maria [59]

Answer:

(-2,6)

Step-by-step explanation:

8 0
3 years ago
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