Let Joy be x years old
<span>Joy's brother's age is 3 years older than twice joy's age.
</span>Joy's Brother = 2x + 3
<span>The sum of Joy's age and her brother's age is 24.
x + 2x + 3 = 24
3x + 3 = 24
3x = 24 - 3
3x = 21
x = 21 </span>÷ 3
x = 7
Joy:
x = 7
Brother:
2x + 3 = 2(7) + 3 = 17
Difference in their age = 17 - 7 = 10 years
They are 10 years apart.
-11/12 +5/12 = - 6/12= - 1/2
Answer:
371 pounds
Step-by-step explanation:
First you find how much space is in the container
length is 13
width is 15
height is 10
2 * (15 * 13 + 10 * 13 + 10 * 15)= 950
The total space in the container is 950
Then multiply it by 0.39 to find the weight
950 * 0.39 = 370.5
Round to the nearest pound
.5 rounded is rounded to a whole number
371 pounds
The correct question is: evaluate
![\sqrt[3]{- \frac{8}{125} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B-%20%5Cfrac%7B8%7D%7B125%7D%20%7D%20)
The
answer is: option B. -2 / 5Explanation:![\sqrt[3]{- \frac{8}{125} }=- \frac{ \sqrt[3]{8} }{ \sqrt[3]{125} } =- \frac{ \sqrt[3]{2^3} }{ \sqrt[3]{5^3} } =- \frac{2}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-%20%5Cfrac%7B8%7D%7B125%7D%20%7D%3D-%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B8%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B125%7D%20%7D%20%3D-%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B2%5E3%7D%20%7D%7B%20%5Csqrt%5B3%5D%7B5%5E3%7D%20%7D%20%3D-%20%5Cfrac%7B2%7D%7B5%7D%20)
Answer:
-a/(x+b)²
Step-by-step explanation:
Given the function y = a/x+b
To differentiate, we will use the quotient rule.
dy/dx = (Vdu/dx-Udv/dx)/V²
Let u = a
v = x+b
Note that differential of a constant is zero
du/dx = 0
dv/dx = 1
Substitute
dy/dx = (x+b)0 - a (1)/(x+b)²
dy/dx = 0 - a/(x+b)²
dy/dx = -a/(x+b)²
