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-BARSIC- [3]
2 years ago
15

8х + 4 y = 16 7y = 15 – x

Mathematics
2 answers:
mojhsa [17]2 years ago
7 0

Answer:

x=1      y=2

Step-by-step explanation:

x=1     y=2

8x +4 y=16

8(1) + 4(2)=16

8+8=16

this is correct so now lets check the other one

7y=15-x

7(2)=15-(1)

14=14

this is also correct

olga_2 [115]2 years ago
7 0

Answer: x=1 y=2

Step-by-step explanation:

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Y+5x=-3 step-by-step
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2 years ago
David found and factored out the GCF of the polynomial 80b4 – 32b2c3 + 48b4c. His work is below. GFC of 80, 32, and 48: 16 GCF o
BlackZzzverrR [31]

Answer: The correct statements are

The GCF of the coefficients is correct.

The variable c is not common to all terms, so a power of c should not have been factored out.

David applied the distributive property.

Step-by-step explanation:

GCF = Greatest common factor

1) GCF of coefficients : (80,32,48)

80 = 2 × 2 × 2 × 2 × 5

32 = 2 × 2 × 2 × 2 × 2

48 = 2 × 2 × 2 × 2 × 3

GCF of coefficients : (80,32,48) is 16.

2) GCF of variables :(b^4,b^2,b^4)

b^4= b × b × b × b

b^2 = b × b

b^4 =b × b × b × b

GCF of variables :(b^4,b^2,b^4) is b^2

3) GCF of c^3 and c: c is not the GCF of the polynomial. The variable c is not common to all terms, so a power of c should not have been factored out.

4) 80b^4-32b^2c^3+48b^4c

=16b^2(5b^2-2c^3+3b^2c)

David applied the distributive property.

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2 years ago
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Which equation represents a linear function?
olga nikolaevna [1]

Answer: Equation 3

Step-by-step explanation:

It does not have any exponents, meaning it's linear

4 0
3 years ago
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Tamara invests $8000 in two different accounts. The first account has a simple interest rate of 3% and the second account has a
Paraphin [41]

Answer:

  • $3200 at 3%
  • $4800 at 2%

Step-by-step explanation:

Interest earned is proportional to the interest rate, so if the interest earned is the same, the amounts invested must be inversely proportional to the interest rates. That is, for the 3% and 2% accounts, the ratio of money invested is 2:3.

In other words, 2/5 of the money ($3200) was invested at 3%, and 3/5 of the money ($4800) was invested at 2%.

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If you need an equation, you can let x represent the amount invested at the highest rate. Then 8000-x is the amount invested at the lower rate. For the interest in the two accounts to be equal, we have ...

  3%·x = 2%·(8000-x) . . . . . the amounts of interest earned are the same

  3/2·x = 8000 -x . . . . . . . . divide by 2%

  5/2·x = 8000 . . . . . . . . . . . add x and simplify

  x = 8000·(2/5) = 3200  . . . multiply by the inverse of the x coefficient

  8000-x = 8000 -3200 = 4800 . . . . the amount invested at the lower rate

Tamara invested $3200 in the 3% account and $4800 in the 2% account.

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She earned $96 in each account for the year.

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Answer:

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