Answer:
Option (2)
Step-by-step explanation:
Given inequality is,
3x + 12 ≤ 24
3x + 12 - 12 ≤ 24 - 12
3x ≤ 12
x ≤ 4
Now we can plot this inequality on a number line.
An arrow starting with a solid point from x = 4 directing towards negative infinity will be the graph on a number line.
Therefore, Option (2) will be the correct option.
Answer:
The value of the expression increases as j decreases
Step-by-step explanation:
Let
As j decreases, the value of j300 decreases (i.e the farther j300 is from 150). Due to the wider gap between 150 and j300, the value of f(j) increases.
For example:
When j = 1, f(j) = 150 - (300*1) = -150
When j = 0.5, f(j) = 150 - (300*0.5) = 0
When j = 0. f(j) = 150 - (300*0) = 150
It is obvious from the analogy above that the expression 150-j150−j150 increases as j decreases
Asa has 15 dimes and 32 quarters.
Step-by-step explanation:
Given,
Total coins = 47
Worth of coins = $9.50 = 9.50*100 = 950 cents
1 dime = 10 cents
1 quarter = 25 cents
Let,
Number of dimes = x
Number of quarters = y
According to given statement;
x+y=47 Eqn 1
10x+25y=950 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 15
Putting y=32 in Eqn 1
Asa has 15 dimes and 32 quarters.
Keywords: linear equation, elimination method
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ANSWER
The length of the altitude is units
<u>EXPLANATION</u>
The altitude of a triangle is the vertical height of the triangle.
From the diagram the altitude is
Method 1: We can use Pythagoras theorem to find
We take the square root of both sides,
Method 2 Using Trigonometry