Answer:
x1=1
x2= -4
x3= (2 + 5i)
x4= (2 - 5i)
Step-by-step explanation:
STEP 1-
Find the roots of the first term.
(x^2 + 3x -4)=0
Then group the terms that contain the same variable, and move the constant to the opposite side of the equation.
(x^2 + 3x)=4
Complete the square. Remember to balance the equation by adding the same constants to each side.
(x^2 + 3x + 1.5^2)=4 + 1.5^2
(x^2 + 3x + 1.5^2)=6.25
Rewrite as perfect squares
(x + 1.5)^2=6.25
Square root both sides.
(x + 1.5) = (+/-)2.5
x= -1.5(+/-)2.5
x= -1.5 + 2.5 = 1
x= -1.5 + 2.5= -4
so the factored form of the first term.
(x^2 + 3x + 4) = (x - 1) (x + 4)
STEP 2-
Find the roots of the second term
(x^2 - 4x + 29)= 0
Group terms that contain the same variable, and move the constant to the opposite side of the equation
(x^2 - 4x)= -29
Complete the square. Remember to balance the equation by adding the same constants to each side
(x^2 - 4x + 4) = - 29 + 4
(x^2 -4x + 4) = -25
Rewrite as perfect squares
(x - 2)^2 = -25
Remember that
i = square root of -1
Square root both sides
(x - 2) = (+/-)5i
x= 2 (+/-)5i
x= 2 + 5i
x= 2 - 5i
so the factored form of the second term is
(x^2 - 4x + 29) = (x - (2 + 5i))(x - (2 - 5i))
STEP 3-
Substitute the factored form of the first and second term in g(x)
g(x) = (x-1)(x + 4)(x- (2+ 5i))(x- ( 2-5i)
there for you have your answers
Answer:
$2.50
Step-by-step explanation:
$30 divided by 12 = 2.5
Each bagel is $2.5
Answer:
I don’t think it’s neither less than it equal
Step-by-step explanation:
I could be wrong don’t listen to me :)
Answer:
ways and answer are in paper
^^^^^^^
Answer:
I feel like you are mistaken on the first question...
6 plus 27 equals 33.
33 equals 100 percent.
What is 6 over 33? 0,18.
What's 27 over 33? 0,82.
Therefore, 19 plus 12 equals 31.
19 divided by 31 equals 0,61.
12 over 31 equals 0,39.
except the last. How many times was the ride
completely filled?
Answer:
7
Step-by-step explanation:
Given that a ride can hold 30 people at once, and that 220 people in total went on the ride, one minus the total number of people (to account for the last ride not being completely filled) divided by the total ride capacity gives us 7.3. This means the ride was completely filled 7 times.
To find out how many times the carnival ride was completely filled, we will divide the total number of people who went on the ride, by the maximum number of people the ride can hold at a time. However, we know that the last ride was not completely full, meaning there was at least one less person on the ride than it can hold, so we need to subtract 1 from the total number of people before proceeding.
So, we have: (220 people - 1) ÷ 30 people = 7.3. Since a ride can't be partially filled (i.e. 0.3 of a ride), we know that the ride was filled completely 7 times, and the remaining 0.3 represent the last, not completely filled ride.
#SPJ2