Answer:
The distance between the bird houses are 10.26 feet
Step-by-step explanation:
Hi there! $8 per 4 bottles means price/# of bottles will give you the average price per bottle.
8/4=$2
Therefore it is $2 for 1 bottle.
Hope this helps!
Answer:
35
Step-by-step explanation:
all are obeying a constant ratio
- copper 81
- tin 14⇒?
- lead 5
- total 100 ⇒250
- ?=250*14/100=35
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
<span>Yes, she is reasoning correct, because:
6 1/4 and 2 3/4 are mixed fractions and you can substract them as it shown below:
1. You must substract the fractional parts (</span>which are: 1/4 and 3/4) of the mixed fractions. You can notice that the have the same denominator "4", so you only need write this denominaro and substract the numerators:
= (1-3)/4=-2/4
When you simplify the result, you obtain:
=-1/2
Now, you must sum the integer parts:
6-2=4
Finally, you obtain:
4 -1/2
