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trasher [3.6K]
3 years ago
5

In the equation x=y7 , what is the unit rate?

Mathematics
1 answer:
baherus [9]3 years ago
4 0
The unit rate would be y
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If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Both 2 and 5 are common factors of a number. The number in between 101 and 118. What is the number? Give a reason for your answe
Deffense [45]
110
2 and 5 are prime and thus share no common factors. The lowest common multiple of 2 and 5 is therefore 2 x 5 = 10. 

Your answer must be a multiple of 10 and there is only one answer in that range that fits. 

Double-check: 
110 / 2 = 55 r. 0 
110 / 5 = 22 r. 0 

3 0
3 years ago
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
Fed [463]
It is the square root of 2
6 0
2 years ago
3x + 17 + 5x = 7x + 10
Sphinxa [80]

Answer: x=-3

Step-by-step explanation:

First you add 3x+5x cause they are both variables.They equal 8x.

Then you subtract 7x from both sides to get x+17=10

then you subtract 17 from both sides.

you will get x= -3

Hope that helps!

5 0
2 years ago
Read 2 more answers
Which of the following is the algebraic expression that best describes the sequence 3,6,9,12 ?
Novay_Z [31]
I don't see any choices so I am going to give you what I think the answer would be. The rule would be 3x. That would be you could plug any number in and they would give you the sequence. Example: 
x = 1
x times 3 = 3.
We could even find future things like:
x = 10
x times 10 = 30.
If we were doing it based on the algebraic expression it would be "multiplication" because we are multiplying. Hope this helped. :)
6 0
3 years ago
Read 2 more answers
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