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
Alex787 [66]
3 years ago
11

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

Mathematics
2 answers:
solniwko [45]3 years ago
8 0

Answer:

(- 1, 8 ) and (5, 2 )

Step-by-step explanation:

Given the 2 equations

y = - x + 7 → (1)

y = 0.5(x - 3)² → (2)

Substitute y = 0.5(x - 3)² into (1)

0.5(x - 3 )² = - x + 7 ← expand and simplify left side

0.5(x² - 6x + 9) = - x + 7 ( multiply both sides by 2 )

x² - 6x + 9 = - 2x + 14 ( subtract - 2x + 14 from both sides )

x² - 4x - 5 = 0 ← in standard form

(x - 5)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 1 = 0 ⇒ x = - 1

Substitute these values into (1) for corresponding values of y

x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )

x = - 1 : y = 1 + 7 = 8 ⇒ (- 1, 8 )

emmainna [20.7K]3 years ago
3 0
I approve^^ I went over and that’s correct
You might be interested in
Which best identifies the point of view in Anne frank:The Diary of a Young Girl?
kari74 [83]
First Person Point of View
7 0
3 years ago
Read 2 more answers
Use division to determine whether the ratios form a proportion.
Leya [2.2K]
A. yes. they form a proportion
1/4 and 6/24

6/24=1/4
1/4=.75
1/4=.75
3 0
3 years ago
Read 2 more answers
A coffee shop serves three times as many cups of regular coffee as decaffeinated coffee. If the shop serves d cups of decaffeina
galben [10]

Answer:

Number of cups of regular coffee the shop sells = 3d

Step-by-step explanation:

Let

d = cups of decaffeinated coffee

Three times as many cups of regular coffee as decaffeinated coffee.

Number of cups of regular coffee the shop sells = 3d

8 0
3 years ago
Susan was given the following number to convert to scientific notation: 12,050,000 Her answer was 1.25 x 10^7 , but it was marke
KATRIN_1 [288]

Answer:

C. She left out a zero between the two and the five

Step-by-step explanation:

Given that Susan is expected to convert 12,050,000 to scientific notation, what Susan should have done is shown below:

Count the number of decimal places from your right up to before the first digit, and place the decimal point after the first digit. The number of decimal places counted would determine the exponent we are to use.

Here, we have 7 decimal places, counting from the right to the left, therefore, the exponent would be a positive 7.

What Susan should have is:

1.205 × 10⁷ NOT 1.25 × 10⁷.

1.25 × 10⁷ = 12,500,000, which is different from 12,050,000.

Her paper was marked wrong because: "she left out a zero between the two and the five"

7 0
3 years ago
A line passes through the points (2,21) and (8,27). Write a linear function rule in terms of x and y for
tatiyna
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
6 0
2 years ago
Read 2 more answers
Other questions:
  • Jorge wants to plant 435 pumpkin plants in 7 rows. How many plants will be in each row and how many plants will be left over?
    11·2 answers
  • A square has an area of 39 square ft.What is the exact side length of the square?
    13·1 answer
  • I only have a couple minutes pls help meee!!
    13·1 answer
  • The price of a new computer is p dollars. The computer is on sale for 40% off. Which expression shows the savings that are being
    13·1 answer
  • Which dimensions will create an unlimited number of triangles?
    6·2 answers
  • WILL AWARD BRAINLEST<br><br><br><br><br><br><br> Please show work.
    11·2 answers
  • My question got deleteddd but does anyone wanna talk? I'm 14​
    7·2 answers
  • Y &lt; 5x – 2<br> What’s the solution?
    6·1 answer
  • Able is carving a rectangular pyramid clock out of green quartz. The length of the rectangle base is 14 cm and the height of the
    14·1 answer
  • Double the sum of a number w and 3
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!