Answer:
3x(2x - 3)
Step-by-step explanation:
Given
y = 6x² - 9x ← factor out 3x from each term
= 3x(2x - 3)
Answer:
Part A: 25% of 50 = 12.5
Part B: 25% of 60 = 15
Part C: 50% of 60 = 30
Part D: 75% of 60 = 45
Part E: 75% of 30 = 22.5
Part F: 100% of 22.5 = 22.5
Part G: 10% of 22.5 = 2.25
Part H: 50% of 45.7 = 22.85
Step-by-step explanation:
To find - Do you know the answer to
Part A: 25% of 50 =
Part B: 25% of 60 =
Part C: 50% of 60 =
Part D: 75% of 60 =
Part E: 75% of 30 =
Part F: 100% of 22.5 =
Part G: 10% of 22.5 =
Part H: 50% of 45.7 =
Proof -
Part A :
25% of 50 =
=
= 12.5
⇒25% of 50 = 12.5
Part B :
25% of 60 =
=
= 15
⇒25% of 60 = 15
Part C :
50% of 60 =
=
= 30
⇒50% of 60 = 30
Part D :
75% of 60 =
=
= 45
⇒75% of 60 = 45
Part E :
75% of 30 =
=
= 22.5
⇒75% of 30 = 22.5
Part F :
100% of 22.5 =
= 22.5
⇒ 100% of 22.5 = 22.5
Part G :
10% of 22.5 =
= 2.25
⇒ 10% of 22.5 = 2.25
Part H :
50% of 45.7 =
=
= 22.85
⇒50% of 45.7 = 22.85
The rate of change of Pete's height from 3 to 5 years can be determined as,

Thus, the required rate of change from 3 to 5 years is 4 in/year.
Answer:
4
Step-by-step explanation:
In the ordered pair (2, 12), x = 2 and y = 12.
Substitute these values into each inequality to see if the resulting inequality is true.
y > 2x + 4
12 > 2(2) + 4 Twelve is greater than 2 times 2 plus 4 ...hmmm
12 > 4 + 4
12 > 8 Twelve is greater than 8 ....this is TRUE...go to the next inequality
y < 3x + 7
12 < 3(2) + 7 Twelve is less than 3 times 2 plus 7 ...interesting
12 < 6 + 7
12 < 13 Twelve is less than 13 ... this is TRUE also
Therefore; the answer is b. Yes
It must create a true inequality for BOTH inequalities in order for the ordered pair to be a solution