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3 years ago

1 For each of the following two linear equations identify the slope and the 3y+ x= 12

Mathematics

2 answers:

ahrayia [7]3 years ago

7 0

For identifying the slope of a line, is easier if we get the equation to its slope-intercept form, that is:
y = mx + b
where m is the slope, and b is the y axis intercept. So we'll change the original equations and get them to this form:

<span>3y+ x= 12
3y = -x + 12
y = (-1/3) + 4
therefore the slope is -1/3 and the y-axis intercept is 4

-9x + 4y = 16
4y = 9x + 16
y = (9/4)x + 4
therefore the slope is 9/4 and the y-axis intercept is 4</span>

Mariulka [41]3 years ago

3 0

Y=(9/4)×+4

Hopes that helps

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4 years ago

When deriving the quadratic formula by completing the square, what expression can be added to both sides of the equation to crea

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2 years ago

Which situation represents a proportional relationship?

Natalka [10]

Answer:

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

The ratio between the two variables is a constant called constant of proportionality k

$k=y/x$

<u><em>Verify each case</em></u>

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

$\frac{4}{12}=\frac{9}{25}$

Multiply in cross

$4(25)=9(12)\\100\neq108$

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

$\frac{5}{25}=\frac{8}{40}$

Multiply in cross

$5(40)=8(25)\\200=200$

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

$\frac{24}{6}=\frac{46}{9}$

Multiply in cross

$24(9)=46(6)\\216\neq276$

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

$\frac{14}{2}=\frac{30}{4}$

Multiply in cross

$14(4)=30(2)\\56\neq60$

Is not true

therefore

The situation not represent a proportional relationship

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3 years ago