Answer:
x = - 2, x = - 
Step-by-step explanation:
Given
5x² + 1 = - 13x - 5 ( add 13x - 5 to both sides )
5x² + 13x + 6 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 5 × 6 = 30 and sum = 13
The factors are 10 and 3
Use these factors to split the x- term
5x² + 10x + 3x + 6 = 0 ( factor the first/second and third/fourth terms )
5x(x + 2) + 3(x + 2) = 0 ← factor out (x + 2) from each term
(x + 2)(5x + 3) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
5x + 3 = 0 ⇒ 5x = - 3 ⇒ x = -
Molly got 20 because she did not follow the order of operations, so this is incorrect. Nancy got the correct answer because she multiplied 4 * 3, and then added 2, giving her 14. Molly added 3+2, and multiplied that by 4. Nancy is correct with 14.
Answer:
9
Step-by-step explanation:
All u have to do is think only about two denominators, 9 and 3
And then memorize the multiplication of any number out of these two, until u get a number which is divisible by the other number. Its like,
9×1= 9
i
is it divisible by 3?
9/3= 3
Oh yes, it is divisible by 3 with no remainings. So that is the least common denominator
Answer:
And the width for the confidence interval is given by:
And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval 
would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
Step-by-step explanation:
Let's assume that we have a parameter of interest 
who represent for example the true mean for a population. And we can construct a confidence interval in order to estimate this parameter if we know the distribution for the statistic let's say 
and for this particular example the confidence interval is given by:
Where ME represent the margin of error for the estimation and this margin of error is given by:
And the width for the confidence interval is given by:
And we want to see the effect if we increase the confidence level for a interval. On this case if we increase the confidence level then the critical value for the confidence interval would be higher and then the width of the interval would increase. So then the best answer for this case would be:
B. Increasing the level of confidence widens the interval.
Answer:
8 pounds
Step-by-step explanation:
It says 1 pound = 16 ounces
The cat weights 128 ounces.
To find the amount of pounds, divide 128 by 16
128 divided by 16=8
Hope this helps :)
