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
Anon25 [30]
3 years ago
6

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr

aically.
(–5, –80)
(5, 0)
(5, 0) and (–5, –80)
no solutions
Mathematics
1 answer:
almond37 [142]3 years ago
3 0

Answer:

(5, 0 )

Step-by-step explanation:

Given the 2 equations

y = x² - 2x - 15 → (1)

y = 8x - 40 → (2)

Substitute y = x² - 2x - 15 into (2)

x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )

x² - 10x + 25 = 0 ← in standard form

(x - 5)² = 0 ← in factored form, thus

x - 5 = 0 ⇒ x = 5

Substitute x = 5 into (2) for corresponding value of y

y = 8(5) - 40 = 40 - 40 = 0

Solution is (5, 0 )

You might be interested in
What is 30% of a $24.50 item
Zarrin [17]
$24.50*0.3 = $7.35
The answer is $7.35
6 0
3 years ago
Read 2 more answers
Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB
ioda

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°

5 0
2 years ago
What is the solution to this system of equations?
Degger [83]

Answer:

Step-by-step explanation:

8 0
3 years ago
Solve the system by elimination<br> -6x + 6y = 0<br> 9x - 8y = 4
jarptica [38.1K]

Answer:

Point form: (4, 4)

x = 4, y = 4

7 0
3 years ago
Which of the following best describes the relationship between (x + 2) and
Troyanec [42]

Answer:

B. (x+2) is a factor

Step-by-step explanation:

3x^2 -x-14

3x^2+6x-7x-14

3x(x+2)-7(x+2)

(3x-7)(x+2)

so, x+2 is a factor of 3x^2-x-14

8 0
3 years ago
Other questions:
  • Find the dimensions of a rectangle whose perimeter is 16 meters and whose area is 15 square meters
    6·1 answer
  • Evaluate aa when a equals -2.<br><br> 1)-4<br> 2)4<br> 3)1/4<br> 4)-1/4
    6·2 answers
  • 2. What is 355% of 15?
    13·2 answers
  • HELP DUE IN 15 MINS!<br><br> x=??
    15·1 answer
  • K is the midpoint of PQ, P has
    15·1 answer
  • The function g(x) = f(x + 1) + 6. Which of the following is true about the graph of g(x).
    12·1 answer
  • In this polygon, which angle is an interior angle?<br><br> d°<br> a°<br> b°<br> c°
    10·2 answers
  • The diameter of a circle is 3 ft. Find its area to the nearest tenth.
    12·1 answer
  • Can someone help please
    8·2 answers
  • SOMEONE PLEASE HELP ME<br><br> Geometry <br> Lesson 1.1 Practice
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!