Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
Answer:
a
Step-by-step explanation:
Slope is -2/5 and y-intercept is 2
Step-by-step explanation:
- Step 1: Write the equation in slope-intercept form y = mx + b
2x + 5y = 10
5y = -2x + 10
y = -2/5 x + 10/5
y = -2/5 x + 2
- Step 2: Find the slope and y-intercept from the equation.
Slope, m = -2/5
y-intercept, b = 2
Answer:
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Step-by-step explanation:
For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.
Hence:
She has two sides of length 18 inches and 27 inches
Let the third side = x
Hence:
a) 18 + 27 > x
45 > x
b) 18 + x > 27
x > 27 - 18
x > 9
Therefore, the possible lengths (in whole inches) for the third side is
9 inches < x < 45 inches
Answer:
Step-by-step explanation:
20/100 * 5,120 = 1024
Number of cases in 2013 = 1024 + 5120 = 6,144 cases