Answer:
k = 63
Step-by-step explanation:
k/3 - 9 = 12
isolate variable + 9 both sides
k/3 = 21
multiply both sides by three, therefore
k = 63
check:
63/3 - 9 = 12
21 - 9 =12
12 = 12
hope this helps!
Using translation concepts, the graph of function g(x) = f(x) - 2 = x² - 2 is given at the end of the question.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the functions are given as follows:
- g(x) = f(x) - 2 = x² - 2.
Which means that g(x) is a shift down of 2 units of f(x), as given by the graph in the end of the question.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
1188 grams of water
Step-by-step explanation:
x is the grams of water
so total is 12+x grams
sugar/total is 12/12+x
and 1% ratio is 12/12+x=1/100
so x would be 1188 grams of water.
Answer:
(2, 5)
Step-by-step explanation:
View Image
Answer:
120 miles in 4.8 hours
75 miles in 5 hours
Step-by-step explanation:
Ship:
The number f(x) of miles a ship is from its destination x hours after starting a voyage is given by f(x) = 120 - 25x. This means, initially the ship is 120 miles away from its destination.
If the ship traveled 120 miles, then f(x)=0 (the ship will be 0 miles away from its destination) and
0 = 120 - 25x
25x = 120
x = 4.8 hours.
Submarine:
At x = 0 hours the submarine was 75 miles away
At x = 5 hours, the submarine was 0 miles away.
So, in 5 hours the submarine traveled 75 miles
