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Bingel [31]
2 years ago
15

Write the following inequality in slope intercept form. 6x + 2y ≤-46

Mathematics
2 answers:
Kipish [7]2 years ago
7 0
Slope intercept form is y=mx+b
 So we're solving the equation in the question for y.
First, we subtract 6x from both sides to get

2y<-46-6x. Then we divide both sides by 2 to get y alone.
Then the answer will be y<-46÷2 -6x÷2
 FInal answer = y< -23-3x or y<-3x-23
Lelu [443]2 years ago
5 0
Solve for y
minus 6x both sides
2y<span>≤-2x-46
divide both sides by 2
y≤-x-23
</span>
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The lines y=3x-1 and y=ax+2 are perpendicular if a=___
mezya [45]

Answer:

a = \frac{-1}{3}.

Step-by-step explanation:

The equation of line in the form .

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The lines y=3x-1 and y=ax+2 are perpendicular .

Here 3 is slope for equation of line  y=3x-1 and a is slope for equation of line

y=ax+2 .

Now by using properties of the perpendicular lines property .

When two lines are perpendicular than slope of one line is negative reciprocal of the other line .

Thus

a = \frac{-1}{3}

Therefore a = \frac{-1}{3}.

8 0
2 years ago
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Last year Ron bought 40 pen sets and sold 25. This year he bought 75 pen sets and sold 60. The absolute error each year was the
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Answer:200

Step-by-step explanation:

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An episode of the television show, Legend of the Far Mountain, normally lasts 30 minutes and has 8 minutes of commercials. Tonig
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If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of<br> p=
madam [21]

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

<u><em>The 'c' is common for both equations, this means the 'a' and 'b' must also be common. </em></u>

There are two ways to find p: 'a' or 'b'

<u>a method</u>

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

<u>b method</u>

28x = 4p

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6 0
2 years ago
A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of $0.20/min beyond that time.
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Answer: you can use 260 min, 60 min at a fixed price ($20) and extra 200.

Step-by-step explanation:

C(x) = 20 + 0.20(x − 60)

C(x) ≤ 60

20 + 0.20(x − 60) ≤ 60

0.20(x − 60) ≤ 60 - 20

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0.20x ≤ 40 + 12

0.20x ≤ 52

x ≤ 52/0.2

x ≤ 260

This way, you can use 260 min, 60 min at a fixed price ($20) and extra 200.

7 0
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