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yaroslaw [1]
3 years ago
7

If g (x) =x 1/x-2 and h(x) = 4 – x, what is the value of (g*h)(-3)?

Mathematics
1 answer:
Lena [83]3 years ago
4 0
G(x) = (x + 1)/(x - 2) and h(x) = 4 - x
(g * h)(x) = (x + 1)(4 - x)/(x - 2)
(g * h)(-3) = (-3 + 1)(4 - (-3))/(-3 - 2) = (-2)(4 + 3)/(-5) = (-2)(7)/(-5) = -14/-5 = 2.8
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A line passes through the point (-2, 3) and has a slope of -2. What is the equation of the line?
Mrrafil [7]

Answer:

y = -2x -1

Step-by-step explanation:

slope intercept form is y = mx +b

m = slope, b = y intercept

point is given as ordered pair (x,y)

plug in slope into y=......

y= -2x+b

plug in the point

3 = -2 * (-2) + b

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b = -1

y = -2x -1

8 0
3 years ago
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3 years ago
The measure of 1 in the diagram below is 113º.<br><br> What is the measure of &lt;4?
rusak2 [61]

Answer: 67°

Step-by-step explanation:

From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.

Therefore,

Angle 1 + Angle 4 = 180°

113° + Angle 4 = 180°

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5 0
3 years ago
K (3x - 2) = 4 - 6x<br> Find the value of k
svlad2 [7]

Hello!

In this case, you are looking for a value of K so the left side of the equation is equal to the right.

The left side of the equation is K (3x - 2), and the right is 4 - 6x. To get the left side to equal the right, you can set K = -2. This is because of the <u>distributive property</u>: a number just outside of the parenthesis can distribute to everything in the parenthesis like so:

-2 (3x - 2) = (-2 * 3x) - (-2 * -2) = -6x + 4

Therefore, your answer is K = -2.

Hope this helps!

(Side note: a better way to do this would be to divide both sides by 3x - 2)

5 0
4 years ago
Can 9/10 be reduced?
sammy [17]
The answer for this would be NO. You can no longer reduce 9/10 since there is no factor that is similar between the two numbers. There is no other number that can also divide these numbers evenly except for 1. Therefore,it is already fixed and in the simplest form. Hope this answer helps. 
4 0
3 years ago
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