We can solve this quadratic equation using factorisation method as follows
:x2−5x−36=0
x2+4x−9x−36=0
x(x+4)−9(x+4)=0
(x+4)×(x−9)=0
x+4=0orx−9=0
x=−4orx=9
Answer:
18
Step-by-step explanation:
12(3/2)=36/2=18
Answer:
$0.15
Step-by-step explanation:
1/4 of a can = 0.25 cans
4 ÷ 0.25 = 16
if 0.25 cans is 1/16 of 4, then the price of 0.25 cans would be 1/16 of $2.40
2.40 ÷ 16 = $0.15
Using the intersecting chord theorem:
15 x 2 = 5 x n
Simplify:
30 = 5n
Divide both sides by 5:
n = 30/5
n = 6 m
8 x n+8 = 16 x n+2
Simplify:
8n +64 = 16n +32
Subtract 8n from both sides:
64 = 8n +32
Subtract 32 from both sides:
32 = 8n
Divide both sides by 8:
n = 32 /8
n = 4
<span>Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.
i.e. Residual value = given value - predicted value
From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, a = 4.1 - 4.5 = -0.4
Similarly, </span><span>the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, b = 7.2 - 7.05 = 0.15
</span>
Therefore, a = -0.4 and b = 0.15
