A) No, the root 3 has multiplicity of 3.
B) No, there are two imaginary solutions.
C) No, the root −2 has multiplicity of 3.
D) Yes, the Fundamental Theorem of Algebra does not apply to this equation.
The equation is f(x) = 4x^2 - 4.
You can find this by using an equation with parenthesis that equal each of the zeros.
f(x) = (x - 1)(x + 1)
Now, this equation will not give us the vertex that we're looking for. So, we must add a constant being multiplied to the front of it.
f(x) = c(x - 1)(x + 1)
Now we can find the constant by putting our vertex into the equation and solving.
f(x) = c(x - 1)(x + 1)
-4 = c(0 - 1)(0 + 1)
-4 = c(-1)(1)
-4 = -1c
c = 4
Now we put the c into the original equation and solve for standard form.
f(x) = 4(x - 1)(x + 1)
f(x) = 4(x^2 - 1)
f(x) = 4x^2 - 4
Answer:
The Answer is: 6 inches by 5 inches.
Step-by-step explanation:
Given: A structure that is 30 ft by 25 ft.
Scale: 3 in to 15 ft.
Or - Scale: 1 in to 5 ft.
Divide the sides by 5 to get how many 1" sections:
30 ft / 5 = 6 inches
25 ft / 5 = 5 inches
The sides of the drawing are 6 inches by 5 inches. This represents the 30 ft by 25 ft rectangle.
Hope this helps! Have an Awesome Day!! :-)
To determine if 3.5 liters of glue will be enough, you can set up a proportion using the ratio of glue to water (3:1).
<u>3 L glue </u> <u>3.5 L glue</u>
1 L water = x L water
Use cross products to solve for the amount of water.
<u>3x</u> = <u>3.5</u>
3 3
x = 1.17 L
You will need approximately 1.17 L of water with 3.5 L of glue. This is a total of 4.67 L, which is NOT enough.
You will <u>not</u> be able to make the mixture.
Answer:
No, they do not.
Step-by-step explanation:
Mega Writer pack: 6color:9black ratio or 9 black pens out of 15 total pens.
Mini Writer pack 3color:6black ratio or 6 black pens out of 9.
6:9 is not equal to 3:6 and 9/15 is not equal to 6/9.
