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marysya [2.9K]
3 years ago
11

Write the linear function of a line through the points 5,-3 and 4,1

Mathematics
1 answer:
ollegr [7]3 years ago
8 0
1-(-3)=4 slope= -4
4-5 =-1
y-y1=m(×-×1)
y-(-1)=-4(x-(-4))
y-(-1)=-4x+16
+1. +1
y= -4x+17


I hope it serves you

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If the total operating cost for a 20-acre organic strawberry farm is $551,520, how many acres are on a farm with a total operati
larisa86 [58]

Answer:

16 acres

Step-by-step explanation:

First find the operating cost for 1 acre.  Find that by dividing $551,520 by 20 acres.  That gives us $27,576 per acre.  Now we can set up a proportion to solve for the number of acres that have an operating cost of $441,216:

\frac{cost}{acre}:\frac{27,576}{1}=\frac{441,216}{x}

Cross multiply to get:

27576x = 441216 so

x = 16

We did not have to find the cost per acre to solve this.  We could have set up the proportion with $551,520 on the top of the ratio and 20 on the bottom and we would still have gotten the same answer.  I just figured the numbers wouldn't be as large if we divided to find the cost per unit.

7 0
3 years ago
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The weekly earnings of students in one age group are normally distributed with a standard deviation of 47 dollars. A researcher
ELEN [110]

Answer:

Option D) 340

Step-by-step explanation:

We are given the following in the question:

Alpha, α = 0.05

Population standard deviation, σ = $47

Margin of error = 5

95% Confidence Interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

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Thus, the correct answer is

Option D) 340

7 0
3 years ago
A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a
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Answer:

\frac{25}{64}

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

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3 0
3 years ago
Need Help With Functions. Screenshot attatched
FinnZ [79.3K]

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

... g(x-3) = (x -3)(4(x -3) -5)

... = (x -3)(4x -17) . . . . . simplify right factor

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3 0
3 years ago
What is y=-5x75+23 divided by 2
mina [271]

Answer:

Exact Form

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Decimal Form

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Step-by-step explanation:

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