Answer:
C
Step-by-step explanation:
Observing that <em>f</em> has to be placed inside <em>g</em>, we can easily substitute x^2 - 3 in place of the x in x + 1, making it
(x^2 - 3) + 1 which equals
(x^2) - 2
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
Answer:
x = 10
Step-by-step explanation:
3x - 9 = 21
add 9 on both sides:
⇒ 3x - 9 + 9 = 21 + 9
⇒ 3x = 30
divide 3 on both sides:
⇒ 
⇒ x = 10
to check answer, substitute x by 10 on the original equation:
⇒ 3x - 9 = 21
⇒ 3 x 10 - 9 = 21
⇒30 - 9 = 21
⇒ 21 = 21
Answer: Nothing happens to the area
Why? Translate means you are just moving the same triangle to a new location on the graph
Hi!
The first thing I would do is see how much the charity has to make to exceed its goal. To do that, I would subtract how much they've already made from their goal.
1200 - 750 = 450
Now, since each ad provides 25 dollars, and the charity wants to exceed its goal, add 25 to 450, to get 475. (What they have to make to exceed their goal)
Now, just find how many ads must be made, or how many 25 dollars, go into 475, by dividing 475 by 25.
475/25 = 19 ads
Of course, if you get this question wrong and instead its 18 because your teacher stated they weren't supposed to exceed the goal and instead just meet it, you can question their wording of the problem.
Hope this helped!