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3 years ago

Find the solution for the system of linear equations by substitution: y = 3x + 4 and y = x + 2.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

3 0

Answer:

Step-by-step explanation:

y = 3x + 4, and

y = x + 2

------------------

Use the vale of y in the 2nd equation in the first:

y = 3x + 4

x + 2 = 3x + 4

-2x = 2

x = -1

Use this value of x (-1) in either equation to find y:

y = x + 2

y = -1 + 2

y = 1

==========

(-1,1)

See attached graph.

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Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 m

Wewaii [24]

Answer:

$265

Step-by-step explanation:

We can use the simple interest formula for this:

$A = P (1 + rt)$

P = initial balance

r = annual interest rate

t = time

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:

$A=250(1+(0.04)(1.5))$

$A=265$

Eugene owes $265 of interest.

8 0

3 years ago

Find ML, JK=3x+11, ML=10x-12, NP=45

tigry1 [53]

Answer:

$ML = 58$

Step-by-step explanation:

Given

$JK=3x+11, ML=10x-12, NP=45$

See attachment

Required

Length ML

First, calculate x using the following equivalent ratios

$JK : NP = NP : ML$

Express as fraction

$\frac{JK }{ NP} = \frac{NP }{ ML}$

Cross Multiply

$JK * ML = NP * NP$

Substitute values:

$(3x +11) * (10x - 12) = 45 * 45$

Expand

$30x^2 - 36x + 110x - 132 = 2025$

$30x^2 +74x - 132 = 2025$

Collect like terms

$30x^2 +74x - 132 - 2025=0$

$30x^2 +74x -2157=0$

Using a calculator:

$x \approx -10$ and $x \approx 7$

Given that:

$ML=10x-12$

Substitute values for x

$ML=10*-10-12 = -100 - 12 = -112$

$ML=10*7-12 = 70 - 12 = 58$

ML cannot be negative; So:

$ML = 58$

5 0

3 years ago

What the median 25,23,17,15,19,21,28,30,26,28

Musya8 [376]

Answer:

Step-by-step explanation:

the median is the middle value of a data set in ascending order

If there is not an exact middle then it is the average of the values on either side of the middle

Arrange data in ascending order

15, 17, 19, 21, 23, 25, 26, 28, 28, 30

the middle is between 23 and 25 , hence

median = $\frac{23+25}{2}$ = $\frac{48}{2}$ = 24

7 0

4 years ago

Read 2 more answers

3/4x-1/4x+14=3 how do I get the answer

Alecsey [184]

Your answer would be
X=-22

5 0

3 years ago

The manager at a supermarket arranged 10 rows of cans. He put 2 cans in the first row, 4 cans in the second row, and 6 cans in t

Elena-2011 [213]

A)

2, 4, 6, 8, *10

The fifth row contains 10 cans.

----------------------------------------------------

b)

2+4+6+8+10+12+14+16+18+20=110

-----------------------------------------------------

c)

2*Row=Number Of Cans

When Row=1, Number Of Cans=2.

When Row=5, Number Of Cans=10.

When Row=10, Number Of Cans=20.

6 0

3 years ago