The answer is given above
Answer:
36
Step-by-step explanation:
angle ACB = 180-130=50 degree
angle ABC = 180 - (94+50)
= 180-144
= 36
Answer:
a- x = 5/3, or x = -7/2
b- 675
c - 5·x + 2
Step-by-step explanation:
The polynomial representing the capital of the two partners = 6·x² + 11·x - 35
a. The total share is the capital of the two partners together = 6·x² + 11·x - 35
∴ When their total share is equal to 0, we have;
6·x² + 11·x - 35 = 0
Factorizing the above equation with a graphing calculator gives;
(3·x - 5)·(2·x + 7)
Therefore;
x = 5/3, or x = -7/2
b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;
When x = 10
6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675
The total expenditure of Vicky and Micky when x = 10 is 675
c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2
Answer:
Step-by-step explanation:
<u>Count the number of letters</u>
- 1 = one ⇒ 3 letters
- 2 = two ⇒ 3 letters
- 3 = three ⇒ 5 letters
- 4 = four ⇒ 4 letters
- 5 = five ⇒ 4 letters
- 6 = six ⇒ 3 letters
3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0 <u> + 15 + 15</u>
<u> + 12 + 12</u> x = 15
<u>3x</u> = <u>12</u>
3 4
x = 3
The answer is equal to H.15 and E. 4.
