^^To solve you must use the fractional exponent rule.
I dont quite understand what the question is asking but thats what I have to help :)
The figures are similar, so the corresponding sides are proportional.
For example, the ratio of BD to HF could be 2:1 meaning BD is twice as long as HF. We could have BD = 10 and HF = 5 for instance.
The other sides would be in the same proportion to keep the figures similar. So another example would be ND/TH = 2/1
Answer:
Answer:
g(x)=-6/5x+1/2
h(x)=-6/5x-1/2
Step-by-step explanation:
1). g(x)=−f(x) ?
f(x)=6/5x−1/2
g(x)=−(6/5x−1/2)
g(x)=-6/5x+1/2
2). h(x)=f(−x) ?
f(-x)=6/5(-x)−1/2
f(-x)=-6/5x-1/2
h(x)=-6/5x-1/2
Step-by-step explanation:
Answer:
Option D
Step-by-step explanation:
We have the following variable definitions:
sofas: x
pillows: y
Pillows come in pairs so we have 2y pillows
The total order for all the possible combinations is:
The wholesaler requires a minimum of 4 items in each order from its retail customers. This means the retailers can order 4 or more.
Therefore the inequality is:
To graph this inequality, we graph the corresponding linear equation, with a solid line and shade above.
The correct choice is D
See attachment
Answer:
- f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,
- f(x) - 4 = |x| - 4, represents the requested change of 4 units down.
Step-by-step explanation:
The following rules will permit you to predict the equation of a new function after applying changes, especifically translations, that shift the graph of the parent function in the vertical direction (upward or downward) and in the horizontal direction (left or right).
- <u>Horizontal shifts:</u>
Let the parent function be f(x) and k a positive parameter, then f (x + k) represents a horizontal shift of k units to the left, and f (x - k) represents a horizontal shift k units to the right.
Let, again, the parent function be f(x) and, now, h a positive parameter, then f(x) + h represents a vertical shift of h units to upward, and f(x - h) represents a vertical shift of h units downward.
- <u>Combining the two previous rules</u>, you get that f (x + k) + h, represents a vertical shift h units upward if h is positive (h units downward if h is negative), and a horizontal shift k units to the left if k is positive (k units to the right if k negative)
Hence, since the parent function is f(x) = |x|
- f(x + 5) = |x + 5|, represents the requested change of 5 units to the left,
- f(x) - 4 = |x| - 4, represents the requested change of 4 units down.
Furthermore:
- f(x + 5) - 4 = |x + 5| - 4, represents a combined shift 5 units to the left and 4 units down.