Answer:
C) 2 (2x + 3) (3x + 1)
Step-by-step explanation:
12x² + 22x + 6
2 ( 6x² + 11x + 3 )
2 [ 6x² + 9x + 2x + 3 ]
2 [ 3x ( 2x + 3 ) + 1 ( 2x + 3 ) ]
2 ( 2x + 3 ) ( 3x + 1 ) ⇒ C
Answer:
(1, 0) and (3, 0)
Step-by-step explanation:
y=2x²-8x+6
x- intercept when y=0
- 2x²-8x+6=0
- x²-4x+4=1
- (x-2)²=1
- x-2=1 ⇒ x= 3
- x-2= -1 ⇒ x= 1
The relationship between the number of painters and sculptors enrolled in the art school can be considered a direct variation.
<h3>Direct variation</h3>
A direct variation as implied above means, the linear relationship between the number of painters and sculptors enrolled in the art school are directly proportional.
- In essence, as the number of sculptors in the art schools increase, the number of painters increases too. This is because, more painters are needed to paint increasing work volume of the sculptors.
Read more on direct proportion;
brainly.com/question/1266676
Answer:
a. H0:μ1≥μ2
Ha:μ1<μ2
b. t=-3.076
c. Rejection region=[tcalculated<−1.717]
Reject H0
Step-by-step explanation:
a)
As the score for group 1 is lower than group 2,
Null hypothesis: H0:μ1≥μ2
Alternative hypothesis: H1:μ1<μ2
b) t test statistic for equal variances
t=(xbar1-xbar2)-(μ1-μ2)/sqrt[{1/n1+1/n2}*{((n1-1)s1²+(n2-1)s2²)/n1+n2-2}
t=63.3-70.2/sqrt[{1/11+1/13}*{((11-1)3.7²+(13-1)6.6²)/11+13-2}
t=-6.9/sqrt[{0.091+0.077}{136.9+522.72/22}]
t=-3.076
c. α=0.05, df=22
t(0.05,22)=-1.717
The rejection region is t calculated<t critical value
t<-1.717
We can see that the calculated value of t-statistic falls in rejection region and so we reject the null hypothesis at 5% significance level.
Answer:
v < -11
Step-by-step explanation:
- Combine like terms: 3v - 5v > 12 + 10
- Simplify: -2v > 22
- Divide each side by -2 to cancel out the -2 next to v. It should now look like this: v < -11
I hope this helps!
