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
Fiesta28 [93]
3 years ago
6

Solve each linear-quadratic system algebraically. Show all work.

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

(5, - 8 ) and (- 1, 4 )

Step-by-step explanation:

Given the 2 equations

y = - x² + 2x + 7 → (1)

y = - 2x + 2 → (2)

Substitute y = - 2x + 2 into (1)

- 2x + 2 = - x² + 2x + 7 ← subtract - x² + 2x + 7 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 (2) for corresponding values of y

x = 5 → y = - 2(5) + 2 = - 10 + 2 = - 8 ⇒ (5, - 8)

x = - 1 → y = - 2(- 1) + 2 = 2 + 2 = 4 ⇒ (- 1, 4)

You might be interested in
Paula runs a day care center. Of the last 16 children to enroll at
zalisa [80]

Answer:

0.5

Step-by-step explanation:

P(event) = number of times event occurs/ total number of trials

Hi, You are the person I answered last time!

P(event) = 8/16

8/16 simplified is equaled to 1/2.

1/2 is equaled to 0.5

Again, I'm pretty sure this is right because it says experimental probability... I hope this helps!

8 0
3 years ago
The North Carolina Aquarium at forth fisher celebrated a record amount of visitors on Memorial Day.they recorded 16,652 visitors
Lena [83]

<u>Answer:</u>

Option(b) = 10

The Number 6 in the thousands place is 10 times bigger than the Number 6 in the hundreds place

<u>Explanation:</u>

We are given the value recorded = 16,652

Now the Number 6 in hundreds place means it is equal to 600 and the  Number 6 in thousands place means that it is = 6000

from the given value 6 in hundreds place = 652 and

that in thousands place = 6520 ,

so the six in thousands place is obtained by multiplying 10 with the 6 in hundreds place hence the latter is 10 times bigger than the former.

6 0
3 years ago
Cheryl moves houses. Her old house is 3 kilometers from her new house. How many meters is it from the old house to the new house
d1i1m1o1n [39]

Answer:

3000 here hope this helps you out

3 0
3 years ago
A relation is plotted as a linear function on the coordinate plane starting at point C at (0,-1) and ending at point D at (2,-11
nignag [31]
The rate of change is the slope.

slope = m = (-11 - (-1))/(2 - 0) = (-11 + 1)/(2) = -10/2 = -5

The initial value is the y-intercept. The y-intercept is (0, -1), so the initial value is -1.


4 0
4 years ago
A rectangular park is 6x + 2 ft long and
frosja888 [35]

Answer:

18x² + 48x - 50

Step-by-step explanation:

Area of rectangle = width x length

Area of square = width²

Therefore, area of park not occupied by the turtle park would be the area of the rectangular park MINUS the area of the turtle pond:

= (3x + 7)(6x + 2) - 8²

= 18x² +42x + 6x + 14 - 64

= 18x² + 48x - 50

5 0
3 years ago
Other questions:
  • Two poles of equal heights are standing opposite to each other on either side of a road, which is 100 meters wide .From a point
    10·2 answers
  • Which price is cheaper? 20% off the original price of $29.99 or 10% off the original price of $26 for a book?
    10·1 answer
  • It a picture of the question
    12·1 answer
  • An Adult meelat weight 776 grams. This is 0.747 kilograms more than the weight of a baby meekat. How much does a baby meekat wei
    10·1 answer
  • Please help me on this question!
    14·1 answer
  • Is 3pi/4pi a rational number?
    14·1 answer
  • Select the correct answer.<br> Which statement is true?
    9·2 answers
  • Can 1=2? I DON"T KNOW!
    12·1 answer
  • Alternate exterior angles theorem
    13·1 answer
  • What is the value of B for the following triangular prism?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!