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Luda [366]
3 years ago
6

Use intercepts to graph the linear equation 5x + 3y = 30.

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer x=6 and y=10

Explanation:

Replace each variable in turn with 0 and solve

5x+3y=30  Put zero in place of x and solve for y

5(0)+3y=30

\frac{3y}{3} =\frac{30}{3}

y=10 The y- intercept is 10

5x+3y=30 Put zero in place of y and solve for x

5x+3(0)=30

\frac{5x}{5} =\frac{30}{5}

x=6  The x-intercept is 6

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Use an equation to find the value of k
JulijaS [17]

Answer:  k=143

Step-by-step explanation:

Let's start with the standard form of a linear equation:  y = mx + b, where m ios the slope and b is trhe y-intercept (the value of y when x=0).  We know the slope, so:

y = -15x + b

We can find the y-intercept, b, by using the one given point (6,-7) in the equation and solve for b:

y = -15x + b

-7 = -15(6) + b

-7 = -90+b

b = 83

The equation is y = -15x + 83

Use the x value of (-4,k) to find y, which will be k.

y = -15x + 83

y = -15(-4) + 83

y = 60 + 93

y = 143

k is 143

7 0
2 years ago
In a survey at a local​ university, 45% of students say that they get less than the recommended eight hours of sleep per night.
lesya [120]
37% get less than 8 hours of sleep, 100%-37%=63%
63% get 8 hours or more per night:
(0.63)(2200)=1386

ANSWER: You would expect 1386 to get 8 or more hours of sleep per night.
5 0
3 years ago
A, B, and C are mutually exclusive. P(A) = .2, P(B) = .3, P(C) = .3. Find P(A ∪ B ∪ C). P(A ∪ B ∪ C) =
scoray [572]
Events are said to be mutually exclusive if they can not occur at the same time, that is, the probability of those events occurring at the same time is zero.
In the question given above, 
P (A) = .2
P (B) = .3
P (C) = .3
P (A U B U C) = .2 + .3 + .3 = .8
Therefore, P (A U B U C) = 0.8.<span />
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4 years ago
Solve for x and y intercepts
Paladinen [302]

Answer:

X intercept is (-1,0)

Y intercept is (0,2)

Step-by-step explanation:


3 0
3 years ago
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Somebody please answer this, number 10
FromTheMoon [43]
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3 0
3 years ago
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