Hi there!
We can solve by setting both equations equal to each other:
.5x + 4 = -.25x² + 5
Move everything to one side:
0 = -.25x² - .5x + 1
Multiply both sides by 4 to cancel out the decimals:
0 = -x² - 2x + 4
Factor out negative from both sides:
0 = x² + 2x - 4
Use the quadratic formula:
Plug in the corresponding terms:
Simplify:
Simplify the radical to reduce:
Divide all terms by 2:
Imagine you have 100 people, this means 40 of them run for exercise. We also know 36 people run for exercise AND play a sport. So 36 of the 40 runners are the percentage we are looking for, this would be 36/40=0.9 or 90%
Answer:
t=3
Step-by-step explanation:
Sailing ships should be correct
Answer:
The transformation that occurs from is compression by 3 units horizontally and shift of 4 units upwards.
Step-by-step explanation:
Given
Translation Rules:
If the function is compressed units horizontally.
If and the function stretches units horizontally.
If the function shifts units to the up.
If the function shifts units to the down.
Applying the rules to
Step 1
[compressed units horizontally]
Step 2
∴
[shifts 4 nits up]
∴ The transformation that occurs from is compression by 3 units horizontally and shift of 4 units upwards.