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stepladder [879]
3 years ago
6

What is the solution to the system of equations?

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

There is no solution.

Rewrite -2x + y = -6 so it starts with y =...

y = 2x - 6

Substitute that in 2/3x - 1/3y = -2 gives:

2/3x - 1/3*(2x -6) = -2

2/3x - 2/3x + 2 = -2

0 + 2 = -2

This statement is not true, and that means there is no solution.

You might be interested in
How much is 400.00 invested at 9% interest compounded continuously be worth after 3 years
blagie [28]
COMPOUNDED
not simple interest,
compound interest is neat since you earn interest on the interest you earned

ok so what you use is F=Pe^(rt)
F=future or ending amount
P=present amount
e=base of the natural  log (some digits are 2.71828182845)
r=rate in decimal
t=time in years

presen amount is 400
rate is 9% or 0.09
time is 3 years

F=400e^(0.09*3)
F=400e^(0.27)
F=523.986
round
F=523.99

5 0
3 years ago
A police officer wants to know the proportion of crimes that are burglaries within the last five years. She randomly selects 40
svlad2 [7]

Answer:

a. Yes

See explanation below.

Step-by-step explanation:

Assuming that if the question is if we can use the normal approximation for the true proportion.

For this case we have n = 40 and p = 0.3 (probability of success)

We need to check some conditions:

1) Random sample : This condition is satisfied since the problem says that she randomly select 40 records

2) n \hat p = 40*0.3 =12 \geq 10

n(1-\hat p)= 30 *(1-0.3) = 28 \geq 10)

3) 10% condition: the random sample is assumed to be less than 10% of the original population size (assumed)

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

So then as we can see the normal approximation for this case makes sense since we have all the 3 conditions satisfied so then the answer would be:

a. Yes

7 0
3 years ago
2.3 + r = 7.1<br> solve for r
galben [10]

Answer:

2.3+r=7.1

move all terms to the left:

2.3+r-(7.1)=0

add all the numbers together, and all the variables

r-4.8=0

move all terms containing r to the left, all other terms to the right

r=4.8 is the answer

5 0
3 years ago
Read 2 more answers
Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her b
Artist 52 [7]
For this case the distance will be given by:
 d ^ 2 = (12 * 1.5) ^ 2 + (8 * 1.5) ^ 2
 Rewriting we have:
 d ^ 2 = (18) ^ 2 + (12) ^ 2
 d ^ 2 = 324 + 144
 d ^ 2 = 468
 d = root (468)
 d = 21.63 Km
 Answer:
 
1) She did not find the full distance each traveled in 1.5 hours.
 
2) She should have used 12 km for Joseph's distance and 18 km for Isabelle's distance.
8 0
4 years ago
Read 2 more answers
  David is buying a new car for $21,349.00. He plans to make a down payment of $3,000.00. If he's to make monthly payments of $3
loris [4]

Answer:

(A)

Step-by-step explanation:

Cost of car = $21,349

Down payment = $3000

Remaining amount left = $18,349

Monthly payments (A) = $352

n = Total periods = 5years = 5*12= 60

P(loan amount) = 18,349

r = rate of interest monthly = r/12

Using formula, A = \frac{P\frac{r}{12} }{1-(1+\frac{r}{12})^{-60} }

352 = [tex]\frac{18349\frac{r}{12} }{1-(1+\frac{r}{12})^{-60} }[/tex

    =   0.059(approx)

Annual percentage rate = 5.9%


6 0
4 years ago
Read 2 more answers
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