Answer:
x2−10 because the area expression can be rewritten as (x2−10)(x2+10) which equals (x2−10)((x2−10)+20).
Step-by-step explanation:
Step-by-step explanation: The area of the rectangle is , which can be factored as , because it's the difference of two perfect squares. But, we know that , where is the length and is the width.
Answer:
(-14.8504 ; 0.5644)
Step-by-step explanation:
Given the data:
Population 1 : 30 35 23 22 28 39 21
Population 2: 45 49 15 34 20 49 36
The difference, d = population 1 - population 2
d = -15, -14, 8, -12, 8, -10, -15
The confidence interval, C. I ;
C.I = dbar ± tα/2 * Sd/√n
n = 7
dbar = Σd/ n = - 7.143
Sd = standard deviation of d = 10.495 (using calculator)
tα/2 ; df = 7 - 1 = 6
t(0.10/2,6) = 1.943
Hence,
C.I = - 7.143 ± 1.943 * (10.495/√7)
C.I = - 7.143 ± 7.7074
(-14.8504 ; 0.5644)
Answer:
£25
Step-by-step explanation:
4-1=3
3=15
1=15÷3
=5
4+1=5
5=5×5
=25
Ans:£25
Answer:
a² + b² = 250
Step-by-step explanation:
Given
a + b = 20 ( square both sides )
(a + b)² = 20² , that is
a² + b² + 2ab = 400 ( substitute ab = 75 )
a² + b² + 2(75) = 400
a² + b² + 150 = 400 ( subtract 150 from both sides )
a² + b² = 250
Answer:
f(-1) = -6
Step-by-step explanation:
f(x) = 12 / ( 4x+2)
Let x = -1
f(-1) = 12 / ( 4*-1+2)
= 12 / (-4+2)
= 12 / -2
= -6