Answer:well I will tell if you tell me the answer for my question
Step-by-step explanation:
Answer:
Step-by-step explanation:
We need to use the properties shown below to solve this:
1. ![\sqrt[n]{x^a} =x^{\frac{a}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5Ea%7D%20%3Dx%5E%7B%5Cfrac%7Ba%7D%7Bn%7D%7D)
2. 
3. 
Area of a triangle is given by 1/2 * base * height, so we do that and simplify:
Answer:
x=-1,-2
Step-by-step explanation:
Multiply the given equation with (x+1) on both sides. We'll get,
x+2/x=-3
or,x^2+2=-3x
or,x^2+3x+2=0
or,x^2+2x+x+2=0
or,x(x+2)+1(x+2)=0
or,(x+2)(x+1)=0
or,x=-2,-1
Answer:
30 Gallons
Step-by-step explanation:
Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.
1/10x + 12 = 1/2x (Move your x's to the same side.)
12 = 1/2x - 1/10x (Find a common denominator.)
12 = 5/10x - 1/10x (Simplify/)
12 = 4/10x (Multiply both sides by 10; your demoninator)
120 = 4x (Divide)
x = 30
Your container holds 30 gallons.
Answer:
a. i. x ≤ 25 ii. 16 < x < 35 iii. 25 < x ≤ 95
b. The second and third car seats are appropriate for a 35 lb child.
Step-by-step explanation:
a. Model those ranges with compound inequalities
Let x represent the car seat.
i. A car seat designed for a child weighing up to and including 25 lb is described by the inequality.
x ≤ 25
ii. A car seat designed for a child weighing between 16 lb and 35 lb is described by the inequality.
16 < x < 35
iii. A car seat designed for a child weighing between 25 lb and 95 lb inclusive is described by the inequality.
25 < x ≤ 95
b. Which car seats are appropriate for a 33-lb child?
Since 35 lb is included in the range of the inequalities for the second and third card seats, the second and third car seats are appropriate for a 35 lb child.
