Answer:
<h2>Shift the graph of f(x) 4 units to the right</h2><h2>and 7 units up</h2>
Step-by-step explanation:
f(x) + n - shift a graph of f(x) n units up
f(x) - n - shift a graph of f(x) n units down
f(x + n) - shift a graph of f(x) n units to the left
f(x - n) - shift a graph of f(x) n units to the right
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We have
Convert the equation of g(x) to the vertex formula:
X^2+10x+16＝0
First, you find factors of 16.
1 x 16
2 x 8
4 x 4
Next, you find which of the factor pairs adds up to 10 (from the 10x). In this case, 2 x 8 because 2 times 8 is 16 and 2 plus 8 is 10.
Then, the equation will be written out as: (x+2) (x+8). Take those two equations and set them equal to 0, and then solve.
x+2＝0
-2 -2
x＝-2
x+8＝0
-8 -8
x＝-8
So, your answers are x＝-2 and x＝-8. You can check by plugging in those two numbers as x.
If you would like to know how many cups of raisins does Jacob have, you can calculate this using the following steps:
6/11 ... 1/2
4 7/8 cups ... 5 cups
1/2 of 5 cups = 1/2 * 5 = 5/2 = 2 1/2 cups
The correct result would be C. 2 1/2.
Answer:
48 times
Step-by-step explanation:
From the above question, we know that:
2 times = 1 kg of fertilizer
A crop requires 24 kg of fertilizer
Hence:
1 kg of fertilizer = 2 times
24 kg of fertilizer = x
Cross Multiply
x = 24 kg × 2 times/1 kg
x = 48 times
She need to fill the flask 48 times to make the required amount of fertilizer for the crop
Let the distance to his office be x, then
On monday, speed = x/20 miles per minutes = 3x miles per hour
On tuesday, speed = (3x + 15) miles per hour
Time = distance / speed
(20 - 6)/60 hours = x/(3x + 15) hours
7/30 = x/(3x + 15)
7(3x + 15) = 30x
21x + 105 = 30x
30x - 21x = 105
9x = 105
x = 105/9 = 11.7 miles
Therfore he travels an average of 11.7 miles to work.
