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
rewona [7]
4 years ago
12

2x + y = 8 x + y = 4 The lines whose equations are given intersect at (4, 0) (0, 4) all points on the line

Mathematics
1 answer:
Ann [662]4 years ago
8 0

Answer:

(4,0)

Step-by-step explanation:

Plug them into see:

Check (4,0)

In order for the lines to intersect at (4,0) it must be on both lines.

2(4)+0=8 is true because it is saying 8=8

4+0=4 is true because 4=4

So (4,0) is a intersection point.

Check (0,4)

2(0)+4=8 is not true because it is saying 4=8

0+4=4 is true so it's on this line while not on the other line.

So (0,4) is not an interestion point for the mentioned lines.

Well all points can't be on the line since (0,4) is not on both lines but just one of them.  

We could have solve this out instead plugging in but the problem gave us the option here with the choices.

You might be interested in
of the 650 students at WJH 4% will receive a perfect attendance award. How many students ill receive the award?
Keith_Richards [23]
Its 26
650 x 4 = 2600
2600 ÷ 100 = 26
7 0
3 years ago
Let f be the function defined by f(x) = 3x^5-5x^3+2
sveticcg [70]
(a) When f is increasing the derivative of f is positive.

    f'(x) = 15x^4 - 15x^2 > 0
            15x^2(x^2 - 1)> 0
               x^2 - 1    > 0 (The inequality doesn't flip sign since x^2 is positive)
               x^2 > 1
    Then f is increasing when x < -1 and x > 1.

(b) The f is concave upward when f''(x) > 0.
    f''(x) = 60x^3 - 30x > 0
           30x(2x^2 - 1) > 0
             x(2x^2 - 1) > 0
            x(x^2 - 1/2) > 0
x(x - 1/sqrt(2))(x + 1/sqrt(2)) > 0

    There are four regions here. We will check if f''(x) > 0.
    x < -1/sqrt(2):     f''(-1) = -30 < 0
    -1/sqrt(2) < x < 0: f''(-0.5) = 7.5 > 0
    0 < x < 1/sqrt(2):  f''(0.5) = -7.5 < 0
    x > 1/sqrt(2):      f''(1) = 30 > 0

    Thus, f''(x) > 0 at -1/sqrt(2) < x < 0 and x > 1/sqrt(2).
    Therefore, f is concave upward at -1/sqrt(2) < x < 0 and x > 1/sqrt(2).

(c) The horizontal tangents of f are at the points where f'(x) = 0
    15x^2(x^2 - 1) = 0
    x^2 = 1
    x = -1 or x = 1
    f(-1) = 3(-1)^5 - 5(-1)^3 + 2 = 4
    f(1) = 3(1)^5 - 5(1)^3 + 2 = 0

    Therefore, the tangent lines are y = 4 and y = 0.
8 0
4 years ago
Read 2 more answers
What is another way to group the factors (3x2)x5
tia_tia [17]

<u>Answer</u>

3×(2×5)

<u>Explanation</u>

Multiplication of numbers is associative. For example,

(a×b)×c = a×(b×c)

This is also called grouping. We multiply more than 2 numbers by grouping.

For the equation given above, (3x2)x5, it can also be grouped as 3×(2×5).

5 0
3 years ago
Read 2 more answers
A person noted that the angle of elevation to the top of a tree was 65 degrees at a distance of 11 feet from the tree. Using the
sashaice [31]

Answer:

approximate 23.590 feet

Step-by-step explanation:

tan 65° = x / 11 = 2.145

x = 11 x 2.145 = 23.595

5 0
3 years ago
Read 2 more answers
I’m not good at math at all please help sum 1
oee [108]

Answer:

1,2

Step-by-step explanation:

R is 2 to the left and 1 up from the origin. If you rotate that 90 degrees its 2 up and 1 to the right.

Hole you Understand

8 0
4 years ago
Other questions:
  • Which of the following is a not a rational number?<br> 1.3<br> 3.1415...<br> 5.25<br> 0.66
    12·2 answers
  • List all the 4 digit numbers that fit these clues
    12·1 answer
  • What are the measures of Arc J K and ∠KIJ?
    15·2 answers
  • How do I find the length of the side.
    5·1 answer
  • Leila runs 4 miles in 30 minutes. At the same rate, how many minutes would she take to run 10 miles?
    15·2 answers
  • System Of Equations Elimination Method
    6·1 answer
  • Find the errors and identify them
    7·1 answer
  • Can someone help me understant this proof?​
    14·2 answers
  • 3 * n + 2 = ?<br> 2 * n + 7 = ?
    7·1 answer
  • Stephanie played soccer for 2.25 hours before lunch. She played again in the afternoon for 1.5 hours how long did Stephanie play
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!