To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
We can display the information given as an equation:
2000 *
= 4000; r = increase per annum
Now, we rearrange and solve for r:
= 2
r =
![\sqrt[19]{2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B19%5D%7B2%7D%20)
= 1.037.....
We can now work out the increase for 5 years like so:
2000 *
= 2400.205..... ⇒
$2400
Answer is 7
Step by step explanation
|-7|=7
Vinegar*16=water
water/16=vinegar
A.
if vinegar is 1/4 then
1/4 times 16=4=water
4 cups
B. 8oz=1cup
80 oz water
water/16=vinegar
80/16=5oz=vinegar
5oz
C.
1qt vinegar
1 times 16=16
16 quart water
find total
vinigar+water=1+16=17 quarts
Answer:
The range is 95
Step-by-step explanation:
The range of a discrete data set is the difference between the least and the highest value.
The given date set is 83,70,21,48 and 116.
We sort it to get:
21,48,70,83,116
The range is 116-21=95
