Answer:
x<−7
Step-by-step explanation:
This is an inequality, so you treat as a equation, but when you multiply or divide by a negative number, you flip the inequality.
1. Use distributive property
-x+2<-3x-12
2. Add 3x to both sides.
2x+2<−12
3. -2 from both sides
2x<−14
4. Divide by 2
x<−7
Answer:
64, 8, 1, 1/8
Step-by-step explanation:
So for -2 you have h(-2) =
to make the power a +2 just flip it so (8/1) which is 8, so now you have
= 64
Do the same for -1 so h(-1) =
=
= 8
Anything to the zero power is = 1 so h(0) = 1
(1/8)^1 is just 
Answer:
x=1
Step-by-step explanation:
(6^0)x = 1
1x = 1 (indices rule x^0 = 1)
Hence, x = 1
Greetings!
"Write and solve an equation to determine how many servings of this item ...exactly 45 grams of cholesterol"...
The
variable in this equation would be the
amount of servings she can eat of the items.
Lets represent this as

;

=amount of servings
The item has
30 mg of cholesterol and she wants to only consume
45 mg.
The equation would be:

Solve for
x.
Divide both sides by
30.

Simplify.

Alisa can consume
1.5 servings of the item each day.
Hope this helps.
-Benjamin
Answer:
m(u) = -0.25(u +2)² +1 or -0.25u² -u
Step-by-step explanation:
The equation is fairly easily written in vertex form, as the vertex point is on a grid line intersection at (-2, 1). The parabola opens downward, so the scale factor is negative.
The vertical change from the vertex is only a fraction of a unit when u differs from the vertex by 1. It is 1 unit when u differs from the vertex by 2, so the magnitude of the vertical scale factor is 1/2² = 1/4.
Our equation will be of the form ...
m(u) = (vertical scale factor)(u - (horizontal vertex location))² + (vertical vertex location)
For this graph, the equation is ...
m(u) = -0.25(u +2)² +1
or, simplifying, we get ...
m(u) = -0.25u² -u