When multiplying terms that have the same base (in this case, 
) but different exponents, you can add their exponents to make them one term.
In this case, we can add the exponents of :
A simplified version is 
.
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9
Answer:
11/4 seconds
Step-by-step explanation:
We can see from the given equation that the height at the diving board is h = 3.
This is because the h(t) equation has that +3 at the end, which denotes the initial height of the diver, the height when he is standing on the board before jumping.
To find where h(t) = 3 is true, we need to set h(t) equal to 3 and solve for t.
h(t) = 3
h(t) = -4t^2 + 11t + 3 = 3
-4t^2 + 11t + 3 - 3 = 0
-4t^2 + 11t = 0
t*(-4t + 11) = 0
so h(t) = 3 when t = 0 and when t = 11/4 sec
we already know that at t = 0 the height is 3, it is the initial height given from the equation, so we want to use the other solution for t.
the diver is back at the height of the diving board at t = 11/4 sec
Answer:
12y+9.48x=0
Step-by-step explanation:
Note dozen means 12 in mathematics
So 12 muffins cost $9.48
X muffins cost $y
So let's cross multiply
12×y=9.48×x
12y=9.48x
Substrate 9.48x from both sides
12y-9.48x=0
So the final equation is 12y-9.48x=0
120 tulips just 150 x .80= 120
