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
hammer [34]
2 years ago
15

Help please!!!

Mathematics
1 answer:
marysya [2.9K]2 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = x² + 2x + 7 → (1)

y - 7 = x → (2)

Rearrange (2) expressing y in terms of x by adding 7 to both sides

y = x + 7 → (3)

Substitute y = x + 7 into (1)

x + 7 = x² + 2x + 7 ( subtract x + 7 from both sides )

0 = x² + x ← factor out x from each term

0 = x(x + 1)

Equate each factor to zero and solve for x

x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (3) for corresponding values of y

x = 0 → y = 0 + 7 = 7

x = - 1 → y = - 1 + 7 = 6

The solutions are

(- 1, 6 ) and (0, 7 )

You might be interested in
HELP WITH PART C‼️Any questions ask
saveliy_v [14]

Answer:

they are alike because they both include a variable and they both have their totals in currency form. They are different because they use different variables.

Step-by-step explanation:

6 0
3 years ago
3(x-7)+8=-20<br><br><br><br>can someone explain how to do this step by step​
Mrrafil [7]

3(x-7)+8=-20

Multiply the bracket by 3

(3)(x)(3(-7)+8= -20

3x-21+8= -20

3x-13= -20

Move -13 to the other side. Sign changes from -13 to +13.

3x-13+13= -20+13

3x= -7

Divide by 3

3x/3= -7/3

x= -7/3 or in mixed number : -2 1/3

Answer : x= -7/3 or in mixed number : -2 1/3

3 0
3 years ago
Read 2 more answers
HELP:. In baseball, the distance from the pitcher's mound to the batter is 60.5 feet. A pitcher can throw the baseball at 121 fe
Ray Of Light [21]

Answer:

Hello the answer to your question is 0.4 sec.

Step-by-step explanation:

Hope this helps

3 0
2 years ago
Find the area of the shaded region
Basile [38]

Answer:

16 square units

Step-by-step explanation:

→ Find the area of the whole triangle

0.5 × ( 5 + 4 ) × 8 = 36

→ Find the area of the small triangle

0.5 × 5 × 8 = 20

→ Minus the area's of the triangles

36 - 20 = 16 square units

6 0
3 years ago
If 3x^2+3y^2=42 and xy =-15.Find the value (x-y)^2
Alexxandr [17]

Answer:

44

Step-by-step explanation:

Given, 3x^2 + 3y^2 = 42

=>3(x^2 + y^2) = 42 =>x^2 + y^2 = 42/3= 14

Thus,

= (x - y)^2

= x^2 + y^2 - 2xy

= (x^2 + y^2) - 2xy

= 14 - 2(-15)

= 14 + 30

= 44

4 0
3 years ago
Other questions:
  • Y=2x+13x4y=26 how to solve
    15·1 answer
  • Solve by graphing. x2 + 2x – 3 = 0
    11·2 answers
  • How do I do this ?? Need help
    6·1 answer
  • If a line segment contains one endpoint at (2,3) and has a midpoint of (-2,6) what is the second endpoint of the line segment
    15·1 answer
  • How much is 3/4 of 12
    14·2 answers
  • Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif
    14·2 answers
  • Which expression is equivalent to -2(x - 5) - 9x?
    12·2 answers
  • The table shown below represents a function. Which of the following values could not be used to complete the table?
    7·1 answer
  • Please help asap 30 points
    7·2 answers
  • NEED HELP ASAP!<br><br> Complete the sentence.<br> _______ 20% of days is 4 days.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!