z 5 − z+2 2z+4 =−3 space, startfraction, 5, divided by, z, end fraction, minus, start fraction, 2, z, plus, 4, divided by, z
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Answer:
The sum of all the possible values for z that satisfy the above equation is -5.
Step-by-step explanation:
The given equation is
We need to find the sum of all the possible values for z that satisfy the above equation.
The given equation can be rewritten as
Cancel out common factors.
Add 2 on both sides.
Multiply both sides by -1.
Only z=-5 satisfy the given equation.
Therefore the sum of all the possible values for z that satisfy the above equation is -5.
Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be 
and 
the amounts of nickels and dimes that Carrie and Joan have, as 
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate by equalizing (Eq. 1) and (Eq. 2):
Then, we reduce the resulting formula by (Eq. 3):
And rest of variable are now determined:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Answer:
-3 + 9i
Step-by-step explanation:
The conjugate of -3i is - 3 - i.
(- 3 i) × (- 3 - i)
Multiply both terms.
-3 + 9i
The value of y is am-z/7
<h3>How to calculate the value of y ?</h3>
The expression is given as follows
3y +z= am-4y
The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side
3y + 4y= am-z
y(3+4)= am -z
7y= am-z
Divide both sides by the coefficient of y which is 7
7y/7= am-z/7
y= am-z/7
Hence the value of y in the expression is am-z/7
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Answer:
8/21 = -2/7x
8*7x/21 = -2
56x/21 = -2
56x = -2*21
56x = -42
56x/56 = -42/56
<h2>X = -3/4 , -0.75</h2>
Step-by-step explanation:
