Answer:
3/12 or simplified 1/4
Step-by-step explanation:
First make the denominators the same. We can make 12 the common denominator. To make 3/4 have a denominator do the following:
Multiply the numerator and denominator by 3 since 4x3=12. The new number becomes 9/12.
Then subtract:
9/12-6/12=3/12 The numerator subtracts while the denominator stays the same.
We can simplify 3/12 to 1/4
Answer:
6
Step-by-step explanation:
Okay so the shape has an area of 60 square inches. The formula for the area of a triangle is A = b*h where A = area, b = base, and h = height
So we are given the value for A (60)
We are given the value for height (10)
So we just need to find the value of the base
So let's set this up as an equation. Input the given values into the area for triangle formula
A = B*h
60 = B * 10
So we need to solve for B. To do that we need to get B alone on one side of the = sign. B is being multiplied by 10 so do the opposite and divide both sides by 10
60 divided by 10 = 6
10 divided by 10 = 1 (don't actually put a 1 down, just drop it)
So we are left with
6 = B
So the base is 6 square inches. To test, put it in the equation:
A = B*h
60 = 6*10
60 = 60
(750m) - 1050 = b
1800 - 1050 = 750 dollars lost.
So (750m) - 1050 = b will give you the balance.
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
