Answer:
-4x^2 + 237x - 675
Step-by-step explanation:
(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial
232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify
-4x^2 + 237x - 675
It's hard to read your picture
But if your equation is
(-3)^2 + (-2)^3
then its:
-3*-3 + -2*-2*-2 = -9 - 8 = -17
Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =
When the salary is changed from $1027 to $946,
Mean=
Therefor we can see that Mean has decreased by $9.
Answer:
35
Step-by-step explanation:
So the triangle who posses the angle with measurement k=35 is an isosceles. I know this because there are two congruent legs. Those 2 congruent legs tell us the angles opposite of them are all congruent.
So we know one equation to solve is:
x+x+35=180 where x is the base angle in the left triangle picture.
Combine like terms:
2x+35=180
Subtract 35 on both sides:
2x=180-35
Simplify:
2x=145
Divide both sides by 2:
x=72.5
So one of the base angles of the left isosceles triangle is vertical with with another angle in the right. This triangle on the right is also isosceles.
So we know that 72.5+72.5+h=180.
Combine like terms:
145+h=180
Subtract 145 on both sides:
h=180-145
Simplify:
h=35
Answer:
(8,-1)
Step-by-step explanation:
Given : 

To Find: solution of given system of equations.
Solution:
Equation a : 
Equation b : 
Substitute the value of y from equation b in equation a
y from equation b : y = 7-x
Now substitute value of y in equation a
Thus equation a becomes:







⇒ x= -1 and x = 8
Now substitute values of x in equation b to obtains values of y
⇒ 
for x = -1
⇒ 
⇒ 
⇒ 
Thus (x,y)=(-1,8)
For x =8
⇒ 
⇒ 
⇒ 
Thus (x,y)=(8,-1)
Hence Option A is the correct solution .