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Alisiya [41]
3 years ago
7

Which equation represents the line that passes through the points (0, 3) and (2,6)

Mathematics
2 answers:
liq [111]3 years ago
6 0

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

jek_recluse [69]3 years ago
3 0

Answer:

C) y=3/2x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(2-0)

m=3/2

y-y1=m(x-x1)

y-3=3/2(x-0)

y=3/2(x)+3

y=3/2x+3

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And I can’t see the last question clearly
5 0
3 years ago
Write a rule for the linear function in the graph
Maurinko [17]

Gradient = \frac{y_{1}-y_{2}}{x_{1}-x_{2}}

\frac{5-1}{2-1} \\\frac{4}{1}

This means the gradient is 4x.

The y intercept is where the line crosses the y axis. We can see this is at -3.

<h2>Rule: <u>y = 4x -3</u></h2>

Substitute your values to check if it's right.

y = 4x -3

5 = 4(2) - 3

5 = 8 - 3

5 = 5

1 = 4(1) - 3

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7 0
3 years ago
Given six consecutive integers with a sum of seven times the
Furkat [3]

Answer:

<em>x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7(x + 1)</em>

Step-by-step explanation:

<u>Equations</u>

The situation can be written as an algebraic equation by setting the variables as follows:

x = first integer

x + 1 = second integer

x + 2 = third integer

x + 3 = fourth integer

x + 4 = fifth integer

x + 5 = sixth (and last) integer

The sum of all six numbers must be equal to 7 times the second number, thus:

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 = 7(x + 1)

6 0
3 years ago
Lincoln invested $49,000 in an account paying an interest rate of 6\tfrac{1}{8}6
Orlov [11]

Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

<h3>What is compound interest?</h3>

The amount of money earned, in compound interest, after t years, is given by:

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

In which:

  • A(t) is the amount of money after t years.
  • P is the principal(the initial sum of money).
  • r is the interest rate(as a decimal value).
  • n is the number of times that interest is compounded per year.

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}

A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}

A_L(20) = 166787

<h3>What is continuous compounding?</h3>

The amount is given by:

A(t) = Pe^{rt}

For Eli, we have that r = 0.05625, hence the amount will be given by:

A(t) = Pe^{rt}

A_E(20) = 49000e^{0.05625 \times 20} = 150931

<h3>What is the difference?</h3>

It is given by:

D = A_L(20) - A_E(20) = 166787 - 150931 = 15856

Lincoln would have $15,856 more in his account than Eli.

More can be learned about compound interest at brainly.com/question/25781328

6 0
3 years ago
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