Answer:
k = 6
Step-by-step explanation:
Parent function of the given graph → f(x) = (x - 1)²
If the parent function is shifted 6 units up.
Equation of the translated function will be → g(x) = (x - 1)² + 6
g(x) = f(x) + 6
Therefore, k = 6 will be the answer.
Answer:
Step-by-step explanation:
Assuming this is the slope equation
-2 is the slope
x is point x
5 is the y intercept
y is point y
the regular equation it y = mx + b
the slope is negative so it is decreasing aka gooing down
sorryy if this is the wrong answer to your question
Step-by-step explanation:
Number A
= 6√2 - 5√2
= (6 - 5)√2
= √2
Number B
= √11 + 3√11
= (1 + 3)√11
= 4√11
we have

where
c---------> is the total cost of going to the carnival
t---------> is the number of
tickets purchased
we know that
<u>the domain of the function is the interva</u>l---------------> [0,∞)
Because the number of tickets can not be negative
<u>The range of the function is the interval</u>-------------> [10,∞)
Because the total cost can not be negative
using a graph tool
see the attached figure
The answer in the attached figure
Answer:
[8, 44]
Step-by-step explanation:
The average of equally-weighted values is their sum divided by their number.
<h3>Setup</h3>
For some fourth test score x, Paul wants an average between 70 and 79. This gives rise to the inequality ...
70 ≤ (91 +88 +93 +x)/4 ≤ 79
<h3>Solution</h3>
Multiplying by 4, we have ...
280 ≤ 272 +x ≤ 316
8 ≤ x ≤ 44 . . . . . . . . . . subtract 272
Paul will get a C if his fourth test score is in the interval [8, 44].