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rjkz [21]
3 years ago
12

What is the y-intercept of the graph of the equation 6x-5y=-15

Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y .....(1)

The general equation of slope-intercept form is:

y = mx +c  ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

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Answer:

<em>The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9</em>

Step-by-step explanation:

<u>Fraction of Portion</u>

Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.

For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.

Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:

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The division can be easier performed by multiplying by the reciprocal of the denominator:

\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}

\displaystyle =\frac{4}{9}

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

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