Answer:
D
Step-by-step explanation:
(f • g)(x)
= f(x) × g(x)
= (x + 4)(3x² - 7)
each term in the second factor is multiplied by each term in the first factor , that is
x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis
= 3x³ - 7x + 12x² - 28
= 3x³ + 12x² - 7x - 28 ← in standard form
Answer:
Step-by-step explanation:
The inequality that can be used to determine h is shown below:-
As per the given situation, it is mentioned that a plumber could earns $50 for a repair job, so for three jobs he earned $150 as a total amount
Now
We presume h be the number of hours
Also he earns additional $75 per hour worked so $75
Total amount is $150 + $75h)
The total amount is more than $600
So, the inequality equation is as given below:
Answer:
4. x=120
5. x=65
9. x=150
10. x=45
Step-by-step explanation:
4. Half=180
There is already a 60, so you do 180-60=120. x=120.
5. This is a parallel line, so you determine the opposite angle of 115, which is 65. That just becomes the x. x=65
9. It is similar to #5, You look at the opposite side of 30 (15+15) which is 150. That just comes to the other side which is x=150.
10. A triangle has 180 degrees in total. 45 degrees is already given, and line j is 90 degrees which means a full line is 180. 180-90=90.
90+45=135
180-135=45
x=45
Hope this helped!
Answer:
Surface area: 592
Volume: 960
Step-by-step explanation:
First the surface area:
The formula for a rectangular prism is length times width, plus width times height, plus length times height times two
So,
lw= 12 times 10 = 120
wh= 10 times 8 = 80
lh = 12 times 8 = 96
(120 plus 80 plus 96) times 2 = 296 times 2 = 592
Surface area = 592
Second, volume:
Formula is length times width times height
12 times 10 times 8 = 120 times 8 = 960
Volume = 960 cubic cm.
Hope this helped. Sorry if I was wrong.
