Answer:
15
Step-by-step explanation:
Because the two triangles are similar:

Hope this helps!
Answer:
A. the leading coefficients of f (x) and g (x) are opposites
Step-by-step explanation:
A. the leading coefficients of f (x) and g (x) are opposites
A quadratic function in its generic form is:
f (x) = ax2 + bx + c
g (x) = dx2 + ex + f
The sum of the functions is:
(f + g) (x) = (a + d) x2 + (b + e) x + (c + f)
For the function to be linear necessarily:
a = -d
WHEN GRAPHING
Step 1. Convert to y = mx + b
- Equation 1: y = 3x/2 - 16/2
- Equation 2: y = -5 - 2x
Step 2. Graph like normal
- Find zeros & plot
- Find y-intercept & plot
Step 3. Shade as indicated by the inequality symbol
- > or ≥ = above line
- < or ≤ = below line
Step 4. If ≤ or ≥ ONLY, then also shade the line
FOR THIS PROBLEM
1. Graph each equation
2. Shade ABOVE line for each
3. Shade line first equation as well
Hope this helps and God bless!
Answer & Step-by-step explanation:
number of Dave's coins = number of Zack's coins + 5
The question is asking to find the difference in prices paid (thus "<em>more</em>"), completely unrelated to the number of coins Zack bought as these two numbers are independent of one another. The difference in price can be found by simply multiplying the cost of one coin by 5.
Answer:
(2x-3) (2x+3)
zeros, x intercepts: -3/2, 3/2
Step-by-step explanation:
4x^2 -9
We know the difference of squares is a^2 -b^2
This factors into (a-b) (a+b)
Let 4x^2 =a^2
Taking the square root
2x =a
Let b^2 =9
Taking the square root
b= 3
(4x^2-9 ) = (2x-3) (2x+3)
To find the zeros, we set the equation equal to zero
(4x^2-9 ) = (2x-3) (2x+3) =0
Using the zero product property
2x-3 =0 and 2x+3 =0
2x-3+3 = 0+3 2x+3-3 = 0-3
2x=3 2x=-3
Divide by 2
2x/2 = 3/2 2x/2 = -3/2
x = 3/2 x = -3/2
These are the zeros of the equation (which are also the x intercepts)