MATHEMATICS HIGH SCHOOL

What is the y-intercept of the line y + 11=2(x+1.5)

Answers

Answer 1
Answer:

Answer:

-8

Step-by-step explanation:

Turn the equation into slope intercept form [ y = mx + b ]

y + 11 = 2(x + 1.5)

~Distribute right side

y + 11 = 2x + 3

~Subtract 11 to both sides

y = 2x - 8

"b" represents the y-intercept, so, the y-intercept is -8.

Best of Luck!

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Which statements are true about the graph of the function f(x) = x2 - 8x + 5? Select three options.The function in vertex form is f(x) = (x - 4)2 - 11.
The vertex of the function is (-8,5).
The axis of symmetry is x = 5.
The y-intercept of the function is (0.5).
The function crosses the x-axis twice

Answers

The statements that are true about the graph of the function are

  • The function in vertex form is f(x) = (x - 4)^2 - 11.
  • The y-intercept of the function is (0,5).
  • The function crosses the x-axis twice

Vertex and intercept of a function

The standard equation of a function in vertex form is expreseed as:

a(x-h)^2 + k

Given the quadaratic function  f(x) = x^2 - 8x + 5, the expression in vertex form is given as:
f(x) = (x^2-8x + 4^2) - 16 + 5

f(x) = (x-4)^2 - 16 + 5
f(x) = (x-4)^2 - 11

Find the y-intercept.

This is the point here x = 0
f(0) = 0^2 - 8(0) + 5
f(0) = 5

Hence the y-intercept of the function is at (0, 5)

Since the quadratic function has a leading degree of 2, hence the  function crosses the x-axis twice  

Learn more on vertex and intercepts here: brainly.com/question/12778829

Answer:

A, D, E

Step-by-step explanation:

For which function will both ordered pairs (3, 6) and (4, 8) be solutions?y = x + 3
y = 2x
y = x + 4
y = 12 - x

Answers

So you have two x-coordinate:

x=3 and x=4.

Let's test first option:

for x= 3, we have y = (3) + 3 = 6, which matches (3, 6)

Now for x=4, we have y = (4) + 3 = 7 which doesn't match (4, 8).
Do the same for any other options.

You should get B, y = 2x.

What is the answer to this question? (Geometry)

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