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SpyIntel [72]
2 years ago
15

Find the slope of the following points (-4,2) and (5,6)

Mathematics
1 answer:
Vlad [161]2 years ago
7 0

Answer:

\huge \frac{4}{9}

Step-by-step explanation:

Given points are: (-4,2) and (5,6)

slope =  \frac{6 - 2}{5 - ( - 4)}  =  \frac{4}{5 + 4}  =  \frac{4}{9}  \\

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Where is the function f(x)=3x^2-6x-45/x^2-5x discontinuous, and what types of discontinuities does it have?
Vedmedyk [2.9K]

Answer:

Below.

Step-by-step explanation:

f(x)=3x^2-6x-45/x^2-5x

= 3x^2-6x-45 / (x(x - 5))

The denominator is zero when x - 0 and x = 5.

So there will be a vertical asymptote  at x = 0 and a hole at x = 5.

If we do the division  we get f(x)  = 3  remainder 9x - 45

so there will also be a horizontal asymptote where x = 3.

5 0
2 years ago
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Barry’s bagel emporium sells a dozen bagels for $5.00. this price is no longer high enough to create a profit. the owner decides
Korvikt [17]
<span>Barry’s bagel emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.

</span>
<span>Plan B: Raise the price by 10 percent each week until the price reaches $8.00. - I'd say this plan is the correct one</span>
3 0
3 years ago
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Can someone please help me???<br><br> a is 3/4<br> b is -8<br> c is -2<br> d is 3
Pavel [41]

Answer:

-b[a + (c-d)^2]

-(-8)[3/4 + (-2 -3)^2]

8 [3/4 + (-5)^2]

8 [3/4 + 25]

8 [25.75]

206

5 0
3 years ago
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Darcy harvests 8 3/4 acres of corn every 5/6 of an hour.Darcy harvests corn at a constant rate. How many acres does she harvests
andrey2020 [161]

Answer:

10.50 acres per hour or 1.75 per 10 minutes(1/6 of an hour)

Step-by-step explanation:

5/6 of an hour is 50 minutes

1/6 of an hour is 10 minutes

8 3/4 is equal to 8.75

8.75/5 is equal to 1.75 which means she harvests 1.75 acres per hour

1.75 x 6(hour) is equal to 10.50 acres total in one hour

3 0
3 years ago
Which pair of words describes this system of equations 3y=9x-6 2y+6x=4
pishuonlain [190]

Answer:

Consistent and dependent

Step-by-step explanation:

Given

3y = 9x - 6

2y + 6x = 4

Required

The words that describe the equations

Make y the subject in (2)

2y + 6x = 4

Collect like terms

2y = 4 - 6x

Divide through by 2

y = 2 - 3x

Substitute: y = 2 - 3x in (1)

3y = 9x - 6

3(2 - 3x) = 9x - 6

6 - 9x = 9x - 6

Collect like terms

9x+9x = 6+6

18x = 12

Solve for x

x = \frac{12}{18}

Simplify

x = \frac{2}{3}

Substitute x = \frac{2}{3} in y = 2 - 3x

y = 2 - 3*\frac{2}{3}

y = 2 - 2

y =0

So, we have:

x = \frac{2}{3} and y =0

<em>The system is consistent because it has at least 1 solution</em>

<em>The system is dependent because it has more than 1 solution</em>

6 0
2 years ago
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