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
dlinn [17]
3 years ago
8

Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

You might be interested in
A construction worker was covering the bathroom walls with tiles. He covered three-fifths of the wall with 50 tiles. How many ti
Eddi Din [679]
It will take 83 1/3 tiles to fill the wall.

Let x be the entire wall:
3/5x = 50

Divide both sides by 3/5:
x = 50 ÷ 3/5
x = 50/1 ÷ 3/5
x = 50/1 × 5/3
x = 250/3 = 83 1/3
3 0
3 years ago
Kimberly Burns 360 cal in 45 minutes while jogging determine how many calories can really burns per minute
IgorLugansk [536]

Answer:

8

Step-by-step explanation:

360 divided by 45 is 8 calories per minute

8 0
3 years ago
Which of the following are exterior angles? Check all that apply.
Romashka [77]

[|] Answer [|]

<u><em>6, 5, 4</em></u>

<u><em></em></u>

[|] Explanation [|]

<em>Exterior Angles:</em>

<u><em>Angles facing outward on a triangle</em></u>

Angles 6, 5 and

4 are not inside the main triangle. They are wide open. <u><em>Exterior simply means the outside of something.</em></u> Angles 6, 5 and 4 are the outside angles to the main triangle.

<u><em>_[|] Eclipsed [|] _</em></u>

8 0
3 years ago
Trinh wants to save 1,250 total after 15 months to put towards a vacation
zlopas [31]

Answer:

good for them

Step-by-step explanation:

i need more of the problem though

6 0
2 years ago
I really need help with this, thank you!! Will mark Brainliest Answer!!
svetoff [14.1K]

Answer:

33

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • How to combine fractions 5b/4a+b/3a-3b/a
    9·1 answer
  • Eric bought 4 pairs of sports socks for $9. How many pairs of socks can he buy for $13.50.
    15·2 answers
  • Simplify the given expression below: (7-3i)•(2-i)
    11·1 answer
  • I need help with this problem!
    6·1 answer
  • PLEASE ANSWER ASAP!!!!
    14·2 answers
  • RSM HW HELP!!! PLEASE SOLVE A.S.A.P!
    6·1 answer
  • What is the common difference of the arithmetic sequence 5 8 11 14
    6·2 answers
  • What is the value of the expression 2 + 32 ⋅ (5 − 1)?
    10·2 answers
  • **PLEASE HURRY**
    9·2 answers
  • Connie has to solve the following problem.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!