Answer:
x=2 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+6)(x−4)=−16
Step 1: Simplify both sides of the equation.
x2+2x−24=−16
Step 2: Subtract -16 from both sides.
x2+2x−24−(−16)=−16−(−16)
x2+2x−8=0
Step 3: Factor left side of equation.
(x−2)(x+4)=0
Step 4: Set factors equal to 0.
x−2=0 or x+4=0
x=2 or x=−4
The compound inequality that represents the two following scenarios are:
- 65 < f ≤ 4
- 8 ≤ f ≤ 12
A compound inequality usually puts together two or more simple inequalities statements together.
Following the assumption from the given information that;
- a free single scoop cone = f
<h3>1.</h3>
The age group of individuals designated to receive the free single scoop cones is:
- people who are older than 65 i.e. > 65
- children that are 4 or under 4 i.e. ≤ 4
Thus, the compound inequality that is appropriate to express both conditions is:
<h3>
2.</h3>
- On Tuesdays, the least amount of flavors = 8
- The addition amount of extra flavors they can add = 4
Now, we can infer that the total amount of flavors = 8 + 4 = 12
Thus, the compound inequality that is appropriate to express both conditions is:
- Least amount of flavors ≤ f ≤ total amount of flavors
- 8 ≤ f ≤ 12
Therefore, we can conclude that the compound inequality that represents the two following scenarios are:
- 65 < f ≤ 4
- 8 ≤ f ≤ 12
Learn more about compound inequality here:
brainly.com/question/24540195?referrer=searchResults
Answer:
2 apples and 1 mango
Step-by-step explanation:
Bowl A can be written as 6a + 3m
Bowl B can be written as 8a + 2m
The difference between the bown is 2 apples and 1 mango
Answer:
Im assuming you meant 43 because if you did x=5
Step-by-step explanation:
8 times 5 is 40 and ifyou add 3 it equals 43
Great question! I had this question in Geometry on Edmentum.
Answer: Height of cone = 3y
Step-by-step explanation:
We know that the cylinder and the cone have the same volume. The cylinder has radius x and height y. We will make use of the formulas:
Volume of cylinder = πr²h
Volume of cone = 1/3πr²h
Since the cone has radius 1/3x, we will have to make its height 3 times of y (the height of the cylinder) to make both the cylinder and the cone have the same volume.
So, the height of the cone is equal to 3y.
Hope this helps, and have a wonderful day! :D
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