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
Answer:
The slope is -4/5
The y intercept is (0,7)
Step-by-step explanation:
f(x) = 7 -4/5x
Rewriting
y = -4/5x +7
This is in slope intercept form
y = mx+b where m is the slope and x is the y intercept
The slope is -4/5
The y intercept is (0,7)
87 24/25.......24/25 = 0.96......answer is 87.96
224 7/10....7/10 = 0.7....answer is 224.7
686 49/50...49/50 = 0.98...answer is 686.98
Simplified expression for total amount spent is 10(2.05 + m)
Step-by-step explanation:
- Step 1: Write expression for expense on joining cooking club for m months.
Expense = 8.50 + 6.25 × m
- Step 2: Write expression for expense on joining movie club for m months.
Expense = 12 + 3.75 × m
- Step 3: Calculate the total amount spent on both clubs
Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)
Answer:
effective annual rate is 6.16 %
Step-by-step explanation:
given data
rate = 6 % = 0.06
time 5 year = 10 semi annually
to find out
effective annual rate
solution
we know formula for annual effective rate of interest is
rate of interest = 
-1
put here all value
rate of interest = 
-1
rate of interest = -1
rate of interest = 0.061646
so effective annual rate is 6.16 %
