Answer:
- t = -5/2
- -21
Step-by-step explanation:
3t - 7 = 5t
~Subtract 3t to both sides
-7 = 2t
~Divide 2 to both sides
-7/2 = t
~Find 6t with what we found for t
6(-7/2)
-21
Best of Luck!
Answer:
The glass can hold 8. (I think)
Step-by-step explanation:
Answer:
8/15
Step-by-step explanation:
because there are 8 red marbles out of 15 marbles
Answer:
<em>The correct option is: D) S(a) = 2.00a + 100.00; shift 50 units up</em>
Step-by-step explanation:
The rent for an apartment is represented by 
Now, the rent increases by $50.00 when the apartment is furnished. So, the rent of a furnished apartment will be: 
Thus the new function will be: 
<u>As the output of the original function is increased by 50.00, so the graph of the original function will shift 50 units upward</u>.
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
