Answer:
-70x + 21
Step-by-step explanation:
1-8 = -7.
-7(10x-3)
Distribute, you get -70x + 21.
Answer:
33.75 cubic inches of styrofoam can be placed inside the container.
Step-by-step explanation:
Based on given information, the volume of the prism (
), in cubic inches, is determined by using this formula:
(1)
Where:
- Base of the triangular face, in inches.
- Height of the triangular face, in inches.
- Length of the prism, in inches.
If we know that 
, 
and 
, then the volume of the prism is:
33.75 cubic inches of styrofoam can be placed inside the container.
Suppose that equation of parabola is
y =ax² + bx + c
Since parabola passes through the point (2,−15) then
−15 = 4a + 2b + c
Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c
Since parabola passes through the point (−3,−5), then
−5 = 9a − 3b + c
Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5
Solving it we get that
a = −2, b = −4, c = 1
Thus, equation of parabola is
y = −2x²− 4x + 1
____________________
Rewriting in the form of
(x - h)² = 4p(y - k)
i) -2x² - 4x + 1 = y
ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)
iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)
iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)
v) -3(x + 7/6)² = y - 445/36
vi) (x + 7/6)² = -⅓(y - 445/36)
(Shifting -⅓ to RHS)
vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p)
So, after rewriting the equation would be -
(x + 7/6)² = 4(-⅛)(y - 445/36)
__________________
I hope this is what you wanted.
Regards,
Divyanka♪
__________________
$38.25 divided by 3 = $12.75
I think the answer is 12.75 because each shirt cost the same.
Answer:
The indicated confidence interval for the difference between the two population means is (-1.5159, 7.5159)
Step-by-step explanation:
Let the drying times of type A be the first population and the drying times of type B be the second population. Then
We have small sample sizes 
and 
, besides 
, 
, 
and 
. Therefore, the pooled
estimate is given by
The 99% confidence interval for the true mean difference between the mean drying time of type A and the mean drying time of type B is given by
, i.e.,
where 
is the 0.5th quantile of the t distribution with (11+9-2) = 18 degrees of freedom. So
, i.e.,
the indicated confidence interval for the difference between the two population means is (-1.5159, 7.5159)
