<em>*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.</em>
For this, all you need to do is divide both sides by -4. And since we are dividing by a <u>negative</u>, flip the inequality sign and your inequality is 
Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a <u>closed circle on 1/4.</u> And since x can also be "less than" 1/4, <u>the arrow will be going to the left of 1/4.</u>
Answer:
the volume of a sphere is base times one half.
Step-by-step explanation:
Answer:
x = cuberoot( -9/8)= -1.04004 or x = cuberoot(1/2)=0.7937
Step-by-step explanation:
let y = x^3 + 1
we have:
16*(y) ^2 - 22 (y) - 3 = 0
16 = 2* 8
-3 = -3* 1
8*-3 + 2 = -24 + 2 = -22
Factor as (8y + 1)(2y - 3) = 16 (y)^2 - 22(y) - 3 = 0
so (8y + 1) = 0 or 2y - 3 = 0
y = -1/8 OR y = 3/2
with y = x^3 + 1
solve for x
-1/8 = x^3 + 1
x^3 = - 9/8
x = cuberoot( -9/8)
about x = -1.04004
or 3/2 = x^3 + 1
1/2 = x^3
x = cuberoot( 1/2 ) = 0.7937
Answer:
The height of the lamp post is 15 feet ⇒ 1st answer
Step-by-step explanation:
The ladder , the lamp post and the ground formed a right triangle, the length of the ladder is its hypotenuse (l), the height of the lamp post (h) and the horizontal distance on the ground between the base of the ladder and the base of the lamp post (d) are the legs of the triangle
By using Pythagoras Theorem ⇒ <em>the square of the hypotenuse is equal to the sum of the squares of the other two legs</em>
∵ l² = h² + d²
∵ The length of the ladder is 25 feet
∴ l = 25
∵ The ladder is placed 20 feet from the lamp post
- That means the distance between the base of the ladder and
the base of the lamp post on the ground
∴ d = 20
- Substitute the values of l and d in the Pythagoras formula
∵ (25)² = h² + (20)²
∴ 625 = h² + 400
- Subtract 400 from both sides
∴ 225 = h²
- Take √ for both sides
∴ 15 = h
∴ The height of the lamp post is 15 feet
You should use photomath it is an app that can answer any equations and the answer will tell you where to mark it in the graph :) example: if the answer is 17.5 you would mark a dot between 17 and 18 !!
