10, because 10 does not need to be rounded to the nearest 10 if the number is already 10, but if the number was 17 then rounding to the nearest 10 would be 20
ANSWER
A.
EXPLANATION
The parent function is
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20)
This function is transformed to obtain
![g(x) = \sqrt[3]{x + 2} - 4](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%202%7D%20%20-%204)
The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.
The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.
The correct option is A.
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
A = (h * b) / 2
A = 200
h = 4b
200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm
h = 4b
h = 4(10)
h = 40 <=== height is 40 cm
Answer:
5
Step-by-step explanation:
reminder of rules for division
• If signs are the same then positive result
• If signs are different the negative result
+ 7 ( signs of division are different )
= - 2 + 7
= 5
