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Stolb23 [73]
2 years ago
8

What is the inverse of y = 3* ?

Mathematics
1 answer:
grin007 [14]2 years ago
8 0
It doesn’t have an inverse because it doesn’t pass the horizontal line test
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Which of the following is less than 7/8 and greater than 1/3
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Please help with this Khan Question :)
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Step-by-step explanation:

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2 years ago
The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

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5 0
3 years ago
Read 2 more answers
X + y = 24
Masja [62]

Answer:

(10, 14)

Step-by-step explanation:

To solve this system let's use substitution:

Solve the first equation for x, obtaining x = 24 - y, and then substitute 24 - y for x in the second equation:

3(24 - y) + 5y = 100

Performing the indicated multiplication, we get:

72 - 3y + 5y = 100

Combining like terms results in 72 - 100 = -2y, or -28 = -2y

Thus, y must be 14.

If y = 14, then the first equation tells us that x = 10.

Check:  Is this true?  3(10) + 5(14) = 100  YES

The solution is (10, 14).

What was it about the questions on the best that you were supposed to compare to this solution?

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Fine the product mentally. [(x+1) (x-1)^2
Murljashka [212]
If the product is: [(x+1) (x-1)]^2 , the answer is:
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