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2 years ago

Use substitution to solve the system

Mathematics

1 answer:

Doss [256]2 years ago

3 0

Answer:

x = 4, y = 16

Step-by-step explanation:

$y = 4x\\y = 2x + 8\\\\4x = 2x + 8\\2x = 8\\x = 4\\\\y = 4*4\\y = 16$

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A line passes through the points (2,4) and (5,6) .

Alenkinab [10]

Answer:

Option B and D are correct.

Step-by-step explanation:

Given: A line passes through the points (2,4) and (5,6).

* Case 1:

If a line passes through the points (2, 4) and (5, 6)

Point slope intercept form:

for any two points $(x_1,y_1)$ and $(x_2, y_2)$

then the general form $y -y_1=m(x-x_1)$ for linear equations where m is the slope given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

First calculate slope for the points (2, 4) and (5, 6);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{6-4}{5-2} = \frac{2}{3}$

then, by point slope intercept form;

$y-4=\frac{2}{3}(x-2)$

* Case 2:

If a line passes through the points (5, 6) and (2, 4)

First calculate slope for the points (5, 6) and (2, 4);

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-6}{2-5} = \frac{-2}{-3}= \frac{2}{3}$

then, by point slope intercept form;

$y-6=\frac{2}{3}(x-5)$

Yes, the only equation of line from the given options which describes the given line are;

$y-4=\frac{2}{3}(x-2)$ and $y-6=\frac{2}{3}(x-5)$

8 0

3 years ago

Eric has 4 pieces of clay he cut out each piece of clay into thirds how many 1/3 size pieces of clay does Eric have

Ivahew [28]

Answer:

ERIC HAD 12 PIECES OF CLAY LEFT

Step-by-step explanation:

1/3 + 4 = 12

4 0

3 years ago

Product A requires 5 machine hours per unit to be produced, Product B requires only 3 machine hours per unit, and the company's

Lesechka [4]

Answer:

Produce only Product B.

Step-by-step explanation:

The contribution margin per machine hour for product A is ...

($16 -$6)/(5 hour) = $2 per hour

The contribution margin per machine hour for product B is ...

($12 -$5)/(3 hour) ≈ $2.33 per hour

The company should produce the maximum possible number of the product that contributes the most per machine hour: Product B.

5 0

3 years ago

At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals fr

xz_007 [3.2K]

Answer:

D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=(14-1)=13\ years\\ P=\$250\\r=0.03$

substitute in the formula above

$A=\$250(1+0.03*13)$

$A=\$250(1.39)=\$347.50$

8 0

3 years ago

Which value is a solution of the equation 8y=56?

Korvikt [17]

Answer:

Step-by-step explanation:

If you divide 8y / 8 then you have to do the same thing to 56. When you do, y = 7

3 0

3 years ago