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d1i1m1o1n [39]
3 years ago
12

Determine how many solutions exist for each system of equations y=3x+3 and 3x-y=2

Mathematics
1 answer:
miskamm [114]3 years ago
3 0
666 is haw many 666 to 666 and 666
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which of the following expressions does not contain any like terms? a. 2x^2+3x-4x+2 b. xy+yz-17 c. x^3+x^2-2x-x^2 d. 14+8+y
solniwko [45]

Answer : B


The expression xy+yz-17 do not contain any like terms


I hope that's help !

4 0
4 years ago
Find how many years it would take for an investment of $3700 to grow to $6000 at an annual interest rate of 6.2% compounded semi
lorasvet [3.4K]

Answer:

  7 years 11 months

Step-by-step explanation:

The future value formula for the value of a principal P invested at annual rate r compounded n times yearly for t years is ...

  FV = P(1 +r/n)^(nt)

For the given numbers, we want to find t:

  6000 = 3700(1 +.062/2)^(2t)

Dividing by 3700 and taking the logarithm, we get ...

  6000/3700 = 1.031^(2t)

  log(60/37) = 2t·log(1.031)

Dividing by the coefficient of t gives ...

  t = log(60/37)/(2log(1.031)) ≈ 7.92 . . . . . years

It will take about 7 years 11 months for the investment to grow to $6000.

7 0
3 years ago
Prove the following identity true. Show work.
yulyashka [42]

Answer:

The  Pythagorean identity states that

\sin^2 t + \cos^2 t = 1

Using that we can rewrite the left denominator as:

1 - \sin^2 t

Which can be factored as

(1 - \sin t)(1+ \sin t)

The numerator we can expand as:

(1 - \sin t)(1 - \sin t)

On the right hand side, let's multply numerator and denominator with (1 - sin t):

The total formula then becomes:

\dfrac{(1-\sin t)(1-\sin t)}{(1 - \sin t)(1 + \sin t)} = \dfrac{(1-\sin t)(1 - \sin t)}{(1+\sin t)(1 - \sin t)}

There you go... left and right are equal.

3 0
3 years ago
Read 2 more answers
After a snowstorm in the town of Golden Glen, the morning temperature was – 10°F. But by the afternoon, the temperature had rise
spayn [35]

Answer:

7°F

Step-by-step explanation:

We have the following information from the question;

Morning temperature = -10°F

Increase in temperate = 17°F

Afternoon temperature = the unknown

Since;

Increase in temperature = Afternoon temperature - morning temperature

Then;

Afternoon temperature = increase in temperature + morning temperature

Afternoon temperature = 17°F + (-10°F)

Afternoon temperature= 7°F

5 0
3 years ago
Dara has 12 red couners. She has 7 more red counters than yellow counters. How many yellow counters does dara have ?
morpeh [17]
She has 5 yellow counters
7 0
4 years ago
Read 2 more answers
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