Solve the inequality. Draw a number line representing the solution. 2x – 3 < 9
2 answers:
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Answer:
C
Step-by-step explanation:
The red graph is the graph of y = f(x) shifted 1 unit right and then reflected in the x- axis.
Given y = f(x) then f(x + a) is a horizontal translation of a units
• If a > 0 then shift to the left of a units
• If a < 0 then shift to the right of a units
Here shift to the right of 1 unit, thus
y = f(x - 1)
Under a reflection in the x- axis
a point (x, y ) → (x, - y )
Note the y- coordinates are the negative of each other, thus
- y = f(x)
Now = - y, hence
The equation for the red graph is
= f(x - 1) → C
Answer:
30 is the cost of clothes Kyle bought.
Step-by-step explanation:
Given: Kyle spend 1/5 of his money on clothing.
Remaining money is 120.
Lets assume the total money Kyle had be "x".
∴ Money spent on clothes =
Now, putting up value in the equation to find the total amount of money.
We know, money remaining is 120
Taking LCD subtract the fraction.
⇒
⇒
⇒
Multiplying 5 both side
⇒
dividing 4 on both side.
∴
∴ x= 150
Kyle has total 150 money to spend.
Kyle spent of his total money on clothing.
⇒ cost of clothes kyle bought=
Hence, Kyle spent 30, which was the cost of clothes kyle bought.