Answer:
A = 9x² + 12x
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = height × width
= 3(3x² + 4x) ← distribute parenthesis by 3
= 9x² + 12x
Answer:
Facing Right
Step-by-step explanation:
Given inequalities are:
4-x≤-1
Subtracting 4 from both sides
4-x-4≤-1-4
-x≤-5
Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality
So,
x≥5
Second Inequality:
2+3x≥17
Subtracting 2 from both sides
2+3x-2≥17-2
3x≥15
Dividing both sides by 3
x≥5
Union of both solutions:
x≥5 ∩ x≥5
=> x≥5
Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..
Answer:
5
Step-by-step explanation:
4(5+n)=4(n+p)
20+4n=4n+4p
4p=20
p=20/4
p=5
Answer:
y = 4
Step-by-step explanation:
8(y+4)-2(y-1)=70-3y
8y+32-2y+2=70-3y
Grouping of like terms
8y-2y+3y=70-32-2
9y=36
Divide both sides by 9
9y/9 = 36/9
9 cancels itself and 9.
y=36/9
y=4
Therefore, y = 4.
Hope it helps.
If so, mark as brainliest.
Answer:
a) The variable of the study is: milligrams of nitrogen per liter of water.
This is the amount that needs to be measured and analyzed to reach conclusions in the study.
b) The variable is quantitative. The quantitative variables are those that represent quantities. This variables can be measured on a continuous or discrete scale. Then, all the variables that you can measure or count are quantitative variables(height of trees, number of passengers per car, wind speed, milligrams of nitrogen per liter, etc). On the other hand, qualitative variables are those that can’ t be measured, and they represent attributes, like apple colors (red, green), size of trousers (small, medium, large) and so on.
c) The population under study is the milligrams of nitrogen per liter of water that are in the entire lake. You can estimate the parameters of the population by taking samples (In the example, 28 samples are taken).
