Answer:
c = 420t . . . . c is calories burned; t is hours riding at 15 mph
Step-by-step explanation:
There is not enough information given to write a function rule relating all the variables to calories burned. If we assume that calories are burned at the constant rate of 420 calories per hour, then total calories will be that rate multiplied by hours:
c = 420·t
where c is total calories burned by the 154-lb person, and t is hours riding at 15 mph.
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In general, rates are related to quantities by ...
quantity = rate · time . . . . . where the rate is (quantity)/(time period)
It will be
(-2)^2+4*(-3)(-3) =40
Answer:
So for the geometric mean, you would multiply the two numbers and put them under a radical
Step-by-step explanation:
3 times 10= 30
=
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x² )(x² )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>
