The real roots are 3 and -3.
Imaginary roots:-
x - (2 - i) = 0
x = 2 -i is one imaginary root and the other is 2 + i
The rationalized expression in general term is given by: (-8 -4√2) / 3
<h3>What is rationalization?</h3>
Rationalization is a mathematical operation that allows us to determine or eliminate a root of the denominator of a fraction, so that it can be expressed in linear form, either decimal or integer, by the product of a root.
As defined above, we must perform a mathematical operation to eliminate the root of the denominator without altering the value.
(8√2 / 6-3√8 ) Multiply by ( 6+3√8)/( 6+3√8)
(8√2 / 6-3√8 )( 6+3√8)/( 6+3√8)
8√2(6+3√8) / (6-3√8)² Expand the denominator using the FOIL method.
8√2(6+3√8) / (36 - 18√8 + 18√8 - 72)
8√2(6+3√8) / -36
48√2 + 24√2√8 / -36 ::::. √8 = 2√2
48√2 + 96 / -36
-12(4√2 + 8) / 12x3
(-8 -4√2) / 3 is the result.
Learn more about rationalization in:
brainly.com/question/14261303
#SPJ4
Answer:
445 600
Step-by-step explanation:
765
10.0.0.0/8 is variably subnetted, 3 subnets, 2 masksC10.1.1.0/30 is directly connected, Serial0/0/0L10.1.1.1/32 is directly connected, Serial0/0/0R10.2.2.0/30 [120/1] via 10.1.1.2, 00:00:21, Serial0/0/0172.30.0.0/16 is variably subnetted, 2 subnets, 2 masksC172.30.10.0/24 is directly connected, GigabitEthernet0/1L172.30.10.1/32 is directly connected, GigabitEthernet0/1R3 only displays its own subnets for the 172.30.0.0 network. R3 does not have any routes for the172.30.0.0 subnets on R1.
Answer:
16.373,16.4
Step-by-step explanation:
Given that a random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is the first exam score (out of a maximum of 100 points).
x y
11 39
13 55
14 43
17 46
19 69
22 75
24 77
25 78
28 77
31 93
34 92
Observations 11
ANOVA
df SS MS F Significance F
Regression 1 3214.095153 3214.095153 69.46052448 1.59367E-05
Residual 9 416.4503017 46.27225574
Total 10 3630.545455
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 16.37281677 6.48384963 2.525169105 0.0324919 1.705329914 31.04030362 1.705329914 31.04030362
x 2.369323595 0.28428592 8.33429808 1.59367E-05 1.726224167 3.012423023 1.726224167 3.012423023
We get regression line as y =2.369x+16.373
a) value of intercept = 16.373
b) 16.4
