A zero, or a solution of the quadratic function is c) x = 6 1/3
Write -54x as a difference
9x^2 + 3x - 57x - 19
Factor 3x out
{ 9x^2 + 3x } - 57x - 19
3x (3x + 1)
Factor -19 out
3x (3x + 1) -19 (3x + 1)
Group the equations
( 3x - 19 ) ( 3x + 1 )
Solve for the zeroes
(3x+1) = 0
-1 -1
3x = -1
3x / 3 = x
-1 / 3 = -1/3
x = - 1/3
(3x - 19) = 0
+19 +19
3x = 19
3x / 3 = x
19 / 3 = 6 1/3
x = 6 1/3
Answer:
Spelling word questions = 10
vocabulary word questions = 16
Step-by-step explanation:
Let
Spelling word questions = x
vocabulary word questions = y
Total points = 100
Total questions = 26
x + y = 26 (1)
2x + 5y = 100 (2)
From (1)
x = 26 - y
Substitute x = 26 - y into
2x + 5y = 100
2(26 - y) + 5y = 100
52 - 2y + 5y = 100
- 2y + 5y = 100 - 52
3y = 48
y = 48 / 3
= 16
y = 16
Substitute y = 16 into
x + y = 26
x + 16 = 26
x = 26 - 16
= 10
x = 10
Spelling word questions = 10
vocabulary word questions = 16
Answer: 57 ft²
Step-by-step explanation:
Find the areas of the two individual rectangles and then add that up to find the area of the figure:
Rectangle A: Rectangle B:
= Length * Width = 11.5 * 3
= 7.5 * 3 = 34.5ft²
= 22.5 ft²
Area of figure:
= 22.5 + 34.5
= 57 ft²
Answer:
380.1
Step-by-step explanation:
Area = 22/7 × 11 × 11 =380.3
Answer:
x = 45/17
Step-by-step explanation:
We can move all x to 1 side and all the numbers to another. You can add 8.7 on both sides and get that 2.3x = 0.8x + 4.5. Next, we subtract by 0.8x on both sides to get that 1.7x = 4.5, where we can then divide by 17/10 on both sides to get that x is equal to 45/10 * 10/17, so that means that x = 45/17.
