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astraxan [27]
3 years ago
8

Solve the following system of equations algebraically and check. y=x^2+3x+4 y-x=7

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
5 0
Y=x^2+3x+4
y-x=7

x^2+3x+4-x=7
x^2+2x+4=7
(factor) x^2+2x-3=0
(x+3)(x-1)=0
X= -3 and X=1
(Plug x in for y)
Y= 1^2+3(1)+4
Y=8
(Check your answer on the second equation)
8-1=7
7=7 (Which is the solution)
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Can someone help me with this i got the question wrong the first time so its not 7.50
Sedaia [141]

Answer: $7.6502

Step-by-step explanation:

Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:

= $1.19 × 3.16

= $3.7604

Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:

= $1.29 × 1.35

= $1.7415

Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:

= $0.99 × 2.17

= $2.1483

Total bill paid will be:

= $3.7604 + $1.7415 + $2.1483

= $7.6502

4 0
3 years ago
The decimal part of the number 62 .85 is a 62 b 0.8 c 0.85 d 85​
Zigmanuir [339]

Answer:

1.7

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please Please Please Help Me
maks197457 [2]

Answer:

  1. (x-y^2)(x^2 +xy^2 +y^4)
  2. (a^2 +b)(a^4 -a^2b +b^2)
  3. (m^3-n)(m^6 +m^3n +n^2)
  4. (p+k^3)(p^2 -pk^3 +k^6)
  5. (a^2+b^3)(a^4 -a^2b^3 +b^6)
  6. (x-y)(x^2 +xy +y^2)(x^6 +x^3y^3 +y^6)

Step-by-step explanation:

In every case, the factorization makes use of the standard form for factoring the sum or difference of cubes:

  • a^3 +b^3 = (a +b)(a^2 -ab +b^2)
  • a^3 -b^3 = (a -b)(a^2 +ab +b^2)

1. a=x, b=y^2. Use the formula for the difference.

2. a^2 ⇒ a, b = b. Use the formula for the sum.

3. a=m^3, b=n. Use the formula for the difference.

4. a=p b=k^3. Use the formula for the sum.

5. a^2 ⇒ a, b^3 ⇒ b. Use the formula for the sum.

6. a=x^3, b=y^3. Use the formula for the difference. When you do, the first factor is the difference x^3 -y^3, which can be factored using the difference formula again with a=x, b=y.

4 0
4 years ago
Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $7
allsm [11]

Answer:

Less than 4.70 GB

Step-by-step explanation:

Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:

5x + 46.50 < 70

5x < 23.50                        Subtract $45.60 from each side.

x < 4.70 GB                       Divide 5 from each side.

Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D

8 0
3 years ago
Amy, Dan and mike are competing in a cooking contest they all used different amounts of milk from a container holding 6 gallons
natka813 [3]

Answer: 0.14

Step-by-step explanation:

You had to convert the decimals into percentages move the decimal point two places to the left which makes 14% the answer

4 0
3 years ago
Read 2 more answers
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