1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
3 years ago
15

PLSSSSSSSSSSS HELPPP>> Show work solve the sysytem- y=1/2x^2+4x+4 y=-4x+12 1/2

Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

(1, 8.5 ) and ( - 17, 80.5 )

Step-by-step explanation:

Given the 2 equations

y = \frac{1}{2} x² + 4x + 4 → (1)

y = - 4x + 12 \frac{1}{2} → (2)

Substitute (1) into (2), that is

\frac{1}{2} x² + 4x + 4 = - 4x + 12 \frac{1}{2} ( multiply through by 2 to clear the fractions )

x² + 8x + 8 = - 8x + 25 ( add 8x to both sides )

x² + 16x + 8 = 25 ( subtract 25 from both sides )

x² + 16x - 17 = 0 ← in standard form

(x + 17)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 17 = 0 ⇒ x = - 17

x - 1 = 0 ⇒ x = 1

Substitute these values into either of the 2 equations and evaluate for y

Substituting into (2 )

x = 1 : y = - 4(1) + 12.5 = - 4 + 12.5 = 8.5 ⇒ (1, 8.5 )

x = - 17 : y = - 4(- 17) + 12.5 = 68 + 12.5 = 80.5 ⇒ (- 17, 80.5 )

You might be interested in
Rex paid $250 in taxes to the school district that he lives in this year. This year's taxes were a 12% increase from last year.
Verizon [17]

Answer:

$223.21

Step-by-step explanation:

Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.

This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.

112% of x = 250

1.12x = 250

x = 250/1.12

x = 223.21

Answer: $223.21

8 0
3 years ago
Mina wore a pedometer on her foot for 3 hours. She recorded the number of steps she walked for each hour. The first hour she too
Sergeu [11.5K]

Answer:

Mina took 2,986 steps on the third hour.

Step-by-step explanation:

With the information provided, you know that Mina took a total of 9,245 steps in three hours and as you know the quantity of steps she took on the first and second hour, you can subtract the steps she took on the first and second hour from the total amount of steps to determine the steps she took on the third hour:

9,245-2,387-3,872=2,986

According to this, the answer is that Mina took 2,986 steps on the third hour.

7 0
2 years ago
Pls help i will mark brainliest
aksik [14]

Answer:

the answer is the first one I think but I'm pretty sure

6 0
3 years ago
I need help -6x > 30
Debora [2.8K]

Answer:

×< -5

Step-by-step explanation:

-6x>30 reverse the sign

x< -5

7 0
3 years ago
1/3(12-6x)=4-2x I need help pls
Oksi-84 [34.3K]

Answer:

no solution

Step-by-step explanation:

1/3(12-6x)=4-2x

4-1.3x=4-2x

4=4-0.7x

0=0.7x

ns

5 0
3 years ago
Other questions:
  • HELP FAST!!
    6·2 answers
  • Identify the expression equivalent to 4(x+x+y)-2x+8+4 by substituting x=1 and x=2
    9·1 answer
  • What is the remainder of 47 divided by 6 with array
    14·2 answers
  • if u can understand this is the question :Mark cycled 25 miles at a rate of 10 miles per hour. how long did it take mark to cycl
    8·1 answer
  • Is y=2x-8 and 2x-y=8 a dependent independent or inconsistent
    15·2 answers
  • What would be a reasonable estimate for 31+m=307
    9·2 answers
  • Given the system of equations, what is the y-coordinate of the solution?5x - 4y = 7x = 5 - y
    14·1 answer
  • Help asap!! (i’ll give u brainliest)
    5·1 answer
  • Andrea, Dina, and Lindsay invested in a partnership in the ratio of 7:9:14, respectively.
    15·1 answer
  • Robin has 10 books. Thère is enough space on a shelf for 4 books. In how many ways can 4 of the 10 books bearranged on the shelf
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!