Answer:
Step-by-step explanation:
27 ) 2x² - x - 1 = 0
2x² - 2x + x - 1 = 0
2x ( x - 1) + (x - 1) = 0
(x - 1)(2x + 1) = 0
x - 1 = 0 ; 2x + 1 = 0
x = 1 ; 2x = -1
x = -1/2
x = 1 ; -1/2
Option b
28) Area of a rectangle = 24 cm²
length * width = 24
(3x +2 )(2x -1) = 24
3x(2x -1) + 2(2x - 1) = 24
3x *2x - 3x *1 + 2*2x - 2*1 = 24
6x² -3x + 4x - 2= 24
6x² + x - 2 -24 = 0
6x² + x - 26 = 0
6x² -12x + 13x - 26 = 0
6x(x - 2) + 13(x - 2) = 0
(x -2)(6x +13) = 0
x = 2 {Ignore 6x + 13 as it gives negative value}
length = 3x + 2 = 3*2 + 2 = 6 + 2 = 8 cm
Width = 2x - 1 = 2*2 - 1 = 4 - 1 = 3 cm
29) Area of square = 900 cm²
Side² = 900
(5x)² = 900
25x² = 900
x² = 900/25
x² = 36
x = √36 = √6*6
x = 6 cm
30) base = b cm
height = b + 2
Area of triangle = 24 cm²
b(b + 2) = 24*2
b² + 2b = 48
b² + 2b - 48 = 0
b² - 6b + 8b - 48 = 0
b(b - 6) + 8(b - 6) = 0
(b - 6) (b + 8) = 0
b - 6 = 0 {Ignore b +8 = 0 as it gives negative value}
b = 6 cm
height = 6+ 2 = 8 cm
The statement that best describes the graph is “It will not
be spread out across the entire coordinate plane because in Step 3 Sharon
plotted the independent variable on the y-axis.”
To add, graphing is a powerful tool for representing and
interpreting numerical data. In addition, graphs and knowledge of
algebra can be used to find the relationship between variables
plotted on a scatter chart.
17
>
12
Which statement best describes this inequality when graphed on a number line where positive numbers are to the right of zero?
12 is located to the right of 17.
12 is located to the right of 17.
17 is located to the right of 12.
17 is located to the right of 12.
12 is located 12 units to the left of zero, and 17 is located 17 units to the right of zero.
12 is located 12 units to the left of zero, and 17 is located 17 units to the right of zero.
17 is located 17 units to the left of zero, and 12 is located 12 units to the right of zero.
Answer:
28%
Step-by-step explanation:
In the function the .72 means that each unit of time 72% of the value is retained. This means that 28% percent of the value is lost or decays because 1-0.72=0.28 or 28 percent.
-0,6 i believe would be the same distance from 0,0 as 0,6.
