Answer:
B
Step-by-step explanation:
12x² - 157x - 40
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 12 × - 40 = - 480 and sum = - 157
The factors are + 3 and - 160
Use these factors to split the x- term
12x² + 3x - 160x - 40 ( factor the first/second and third/fourth terms
= 3x(4x + 1) - 40(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(3x - 40) ← in factored form → B
4x + 2y = 5y + 7
4x - 3y = 7
4x - 3y = 7
8x + 3y = 41
----------------add
12x = 48
x = 48/12
x = 4
8x + 3y = 41
8(4) + 3y = 41
32 + 3y = 41
3y = 41 - 32
3y = 9
y = 9/3
y = 3
solution is (4,3)
Answer:
The Answer is: 6 inches by 5 inches.
Step-by-step explanation:
Given: A structure that is 30 ft by 25 ft.
Scale: 3 in to 15 ft.
Or - Scale: 1 in to 5 ft.
Divide the sides by 5 to get how many 1" sections:
30 ft / 5 = 6 inches
25 ft / 5 = 5 inches
The sides of the drawing are 6 inches by 5 inches. This represents the 30 ft by 25 ft rectangle.
Hope this helps! Have an Awesome Day!! :-)
Answer:
the sample standard deviation is 4.926 pounds
Step-by-step explanation:
the sample standard deviation s is defined as
s =√[ 1/(n-1) ∑ ( x- m)²] for x=1 to x=n
where
n= sample size = 10
x= weights of defensive tackles
m= sample mean
m= 1/n ∑ x* for x=1 to x=n
then
m= 1/10 (202 + 215... +208) = 209.66 pounds
thus
s =√[ 1/(10-1) ∑ ( x- m)²] = √[ 1/(10-1) [ ( 202 - 209.66 )² + ( 215 - 209.66 )² + ( 28 - 209.66 )² ] ] = 4.926 pounds
then the sample standard deviation is 4.926 pounds
