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OleMash [197]
2 years ago
12

Which graph best represents the solution to the system of equations shown below? y = -2x + 14 y = 2x + 2 A coordinate grid is sh

own from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Mathematics
1 answer:
slega [8]2 years ago
5 0

The graph whuch best represents the solution to the system of equations is; A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.

<h3>What is the graphical solution of the system big equations?</h3>

As an alternative, solving the system of equations algebraically, we have;

-2x +14 = 2x +2

x = 3 and by substitution;

y = 8.

On this note, the point (3,8) is a solution of the graph and hence, the answer choice with two lines intersecting at (3,8) is correct.

Read more on graphical solution of a system of equations;

brainly.com/question/14323743

#SPJ1

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62-12=50

Step-by-step explanation:

hope that helps!

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3 years ago
Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank
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formula is A=P(1-\frac{r}{n})^{nt}

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years


we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12


remember that ln(x^a)=a(ln(x))

also that (a^b)^c=a^{bc}

2(5745)=5745(1+\frac{0.065}{12})^{12t}, solving for t

divide both sides by 5745 to simplify things a bit

2=(1+\frac{0.065}{12})^{12t} I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

2=(\frac{12.065}{12})^{12t}

take ln of both sides

ln(2)=ln((\frac{12.065}{12})^{12t})

ln(2)=(12t)ln(\frac{12.065}{12})

divide both sides by 12ln(\frac{12.065}{12})

\frac{ln(2)}{12ln(\frac{12.065}{12})}=t

using our calculator, t≈10.6927


so rounded, we get 10.7 years

3 0
3 years ago
11. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
azamat

Answer:

Step-by-step explanation:

The first term is simply a(1), and is 5.

The fourth term is a(4), and is 5 + (1/6)(4-1), or 5  3/6  or 5 1/2.

The tenth term is a(10), and is 5 + (1/6)(10 - 1), or 5  + 3/2, or  6 1/2.

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You are ima room with other students and are asked to get in groups of 3. When finished, there are 21 groups of 3. How manny stu
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3 years ago
Read 2 more answers
You have 42 coins with a total value of $3.00. Some of the coins are dimes, and the rest are quarters.
nlexa [21]

Answer:

1. $3.00+42=$3.42

2. 4 Dimes , 2 Pennies

Step-by-step explanation:

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1. Add up 3.00+42 and that is how you could get the answer for number 1 .

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