You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the
equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
and
and c = 4. So that's our answer!
$48
Your subtract the first number from the second number and get the value.
I think it is 3.5
if 8 is divided by 4, you get two since they are the same shape, 14 should be divided by 4 as well which is 3.5
9514 1404 393
Answer:
128 miles
Step-by-step explanation:
The convict has a head start of ...
distance = speed × time
distance = (8 mi/h) × (14 h) = 112 mi
That distance is being closed at a rate that is the difference between the speeds, so ...
64 mi/h -8 mi/h = 56 mi/h
The time it takes the guards to catch the convict will be ...
time = distance/speed
time = (112 mi)/(56 mi/h) = 2 h
The guards and prisoner will be at a distance from the prison of ...
distance = speed × time
distance = (64 mi/h)(2 h) = 128 mi
The convict will be caught 128 miles from the prison.
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<em>Check</em>
The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.
Answer:
y = 7x^2 + 42x + 64
Step-by-step explanation:
... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps
