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
bogdanovich [222]
3 years ago
5

Which equation, when graphed, has x-intercepts at (2.0) and (40) and a y-intercept of (0, -16)?

Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0

Answer:

f(x)=-2(x-2)(x-4)

Step-by-step explanation:

If the equation, when graphed, has x-intercepts at (2,0) and (4,0), then it is of the form

f(x)=a(x-2)(x-4)

Open the brackets:

f(x)=a(x^2-2x-4x+8)\\ \\f(x)=a(x^2-6x+8)\\ \\f(x)=ax^2-6ax+8a

This equation has y-intercept at (0,-16), then whan x = 0, f(x) =-16:

-16=a\cdot 0^2-6a\cdot 0+8a\\ \\8a=-16\\ \\a=-2

Therefore,

f(x)=-2(x-2)(x-4)

You might be interested in
Describe how (2 cubed) (2 superscript negative 4) can be simplified.
irina [24]

Answer:

1/2

Step-by-step explanation:

Given:

(2 cubed) (2 superscript negative 4)

= (2³)(2^-4)

= (2³) (1 / 2⁴)

= (2³ * 1) / 2⁴

= 2³ / 2⁴

Both numerator and denominator has the same base. Thus, pick one of the bases

Also, in indices, division sign can be translated to subtraction

Therefore,

2³ / 2⁴

= 2^3-4

= 2^-1

= 1/2¹

= 1/2

(2³)(2^-4) = 1/2

7 0
3 years ago
1.<br> How can you count following distance?
anyanavicka [17]

At a MINIMUM, during dry weather conditions, you should have at least 2 seconds of space between you and the vehicle in front of you (3 seconds is better). Do this by using a fixed object such as a bridge, tree, or even a crack or shadow in the roadway.

3 0
4 years ago
Read 2 more answers
Given that 7^2 = 12^x, evaluate 12^2x.
Elanso [62]

Answer:

12^2x = 7^4 = 2401

7^2=12^x

We know that a^x * a^x = a^(x+x) or a^2x

Multiply each side by 12^x

7^2 * 12^x=12^x * 12^x

7^2 * 12^x = 12^(x+x)

Replace 12^x with 7^2 on the left hand side since they are equal

7^2 * 7^2 = 12^ (2x)

7^(2+2) = 12^(2x)

7^4 = 12^2x

2401 = 12^2x

Step-by-step explanation:

3 0
2 years ago
Find the surface area of the triangular prism below?
aleksley [76]

Answer:

10 divided by 3 = 3.33 for each side of the triangle.

2 x 6 = 12(area of two triangles)

10(height) x 3.33(area of one side of the triangle) x 3(three rectangles) = 99.9

Add given areas:

99.9 + 12 = 111.9 rounded = 112 cm^2

Please wait for more responses to be sure, thank you.

4 0
3 years ago
NEED THIS SOLVED ASAP PLS HELP ME!!!
ahrayia [7]

Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

6 0
3 years ago
Read 2 more answers
Other questions:
  • A large school district has 300 buses. if each school bus is used 3.0 hours each day, the average speed of the school buses is 1
    13·1 answer
  • What is the interquartile range of the data set? 23, 35, 55, 61, 64, 67, 68, 71, 75, 94, 99
    12·2 answers
  • Which sentence demonstrates the multiplicative identity?
    5·2 answers
  • In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of
    8·1 answer
  • What are the vertex and x-intercepts of the graph of y=x2 - 4x -21? Select one answer for the vertex and one for the x-intercept
    13·2 answers
  • Which of these types of heath insurance can you buy through a private insurance company
    13·1 answer
  • the maximum slope for a hand propelled wheelchair ramp should be a 1 inch rise to every 12 inches of blank. What is the maximum
    12·1 answer
  • Hello! I need help on this Hw Question The question is Which of the Solutions (A,B,C and D can be a solution to the graph?
    8·1 answer
  • Are the ratios of 3:2 and 4.5:3 equivalent for the 2 mixes?
    14·1 answer
  • Find the diagonal of the rectangular solid.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!