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3 years ago

Choose the equation below that represents the line passing through the point (−2, −3) with a slope of −6.

1 answer:

7 0

Y = mx + b
slope(m) = -6
(-2,-3)...x = -2 and y = -3
now we sub....we r looking for b, the y int
-3 = -6(-2) + b
-3 = 12 + b
-3-12 = b
-15 = b

so ur equation is : y = -6x - 15

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Let f(x) = (x ^ 2 - 5x + 4)/(x - 1) and g(x) = 2 ^ (x - 3). For which value of x does f(g(x)) have a discontinuity ?

polet [3.4K]

Answer:

There is a discontinuity at x=1

Step-by-step explanation:

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3 years ago

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

3 0

3 years ago

Look at the graph below. what is the slope of the line? a) -1/2 b) 1/2 c) -2 d) 2

il63 [147K]

I believe it is b)
Because you always do rise over the run and if it goes right then it is positive and if it goes left it is negative.

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3 years ago

Read 2 more answers

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the

german

Answer:

y = 4x + 12

Step-by-step explanation:

The slope of the line y = 4x - 9 is 4.

The slope of the line we are looking for is also 4.

y - y1 = m(x - x1)

y - 4 = 4[x - (-2)]

y - 4 = 4(x + 2)

y - 4 = 4x + 8

y = 4x + 12

Answer: y = 4x + 12

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3 years ago

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There are some books on a shelf and 12 are cookbooks. If 20% are cookbooks, how many books are on the shelf

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If u take 12 divided by .20 you would get 60 because if u think of it as a dinner bill say it is $60.00 and I want to give a 10% tip it would be $6 but if u give a 20% tip u would give $12

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3 years ago