Answer: 2 * sqrt(2)
I attached an image to show you what I mean
Step-by-step explanation:
First add 20 on both sides
5x^(2 / 3) = 10
divide both sides by 5
x^(2 / 3) = 2
Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)
So we now cube both sides to get rid of the cube root
x^2 = 2^3
which simplifies to x^2 = 8
We now just find the square root of both sides
so x = sqrt(8)
square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)
So x = 2 * sqrt (2)
Answer:
1,200
Step-by-step explanation:
because you take 60% and make it .60 and multiply it by 2,000 and you get 1,200
4.27 + 9.91
Round them to the nearest whole number.
4.27 ⇒ 4
9.91 ⇒ 10
Now you can add them up.
4 + 10 = 14
Answer:
5 1/2 is your second answer :)
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
