30 lawnmowers in 20 hours. You can use proportion to solve this. 8/12 times 30 equals 20 hours. You know what I mean with proportion, right?
12 lawnmowers in 8 hours
30 lawnmowers in ? hours
(30 * 8)/ 12= 20
YOU'RE WELCOME!!! :D
~Rania
The answer it 1. is A.
The answer to 2. is B.
You can solve for the Lateral Surface Area of a rectangle by using the following equation:
L.S.A = 2h(l + w)
In the case of the given rectangular prism,
l = 5
w = 2
h = 3
Plug in the corresponding numbers to the corresponding variables:
L.S.A = 2(3)(5 + 2)
Simplify. Remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
First, solve for the parenthesis:
L.S.A = 2(3)(7)
Multiply:
L.S.A = 6 * 7
L.S.A = 42
Your lateral surface area = 42
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Solve for your surface area.
The surface area of a rectangular prism can be solved using the following equation:
S.A = 2lw + 2wh + 2lh
Let:
l = length = 5
w = width = 2
h = height = 3
Plug in the corresponding numbers to the corresponding variables;
S.A = 2(5)(2) + 2(2)(3) + 2(5)(3)
Simplify. Remember to follow PEMDAS. First multiply, then add:
S.A = (20) + (12) + (30)
S.A = 62
Your total surface area = 62
~
Answer:
The answer is given below
Step-by-step explanation:
The equation of a quadratic function is given by:
Ax² + Bx + C where A, B and C are the coefficients of the quadratic equation. If the coefficient of x² (i.e A) is a negative value then the graph opens down, the value of C determines the y intercept.
The equation of a parabola with y-intercept greater than 3 and opens down can be given as -2x² -6x + 4. Since the coefficient of x² is negative it opens down and C = 4, it has a y intercept of 4 > 3
Let us assume a vertical stretch of 2, the new equation becomes:
2(-2x² -6x + 4)
-4x² - 12x + 8
To solve:
-4x² - 12x + 8 = 0
A = -4, B = -12 and C = 8
Using the quadratic formula:
![x=\frac{-b \pm \sqrt{b^2-4ac} }{2a}\\ x=\frac{-(-12) \pm \sqrt{(-12)^2-4(-4)(8)} }{2(-4)}=\frac{12 \pm 16.49}{-8} \\x= -3.6 \ or \ x=0.6](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%20x%3D%5Cfrac%7B-%28-12%29%20%5Cpm%20%5Csqrt%7B%28-12%29%5E2-4%28-4%29%288%29%7D%20%7D%7B2%28-4%29%7D%3D%5Cfrac%7B12%20%5Cpm%2016.49%7D%7B-8%7D%20%5C%5Cx%3D%20-3.6%20%5C%20or%20%5C%20x%3D0.6)