Which ordered pair is a solution of the equation 5x+y=-23?
2 answers:
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- Simplify :- 1 + - w² + 9w.
Quadratic polynomial can be factored using the transformation , where
are the solutions of the quadratic equation
.
All equations of the form can be solved using the quadratic formula:
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
Square 9.
Multiply -4 times -1.
Add 81 to 4.
Multiply 2 times -1.
Now solve the equation when ± is plus. Add -9 to
.
Divide -9+ by -2.
Now solve the equation when ± is minus. Subtract
from -9.
Divide by -2.
Factor the original expression using . Substitute
for
and
for
.
Well, in the picture you inserted it says that it's 8th grade mathematics. So, I'm not sure if you have learned simplification with the help of biquadratic formula. So, if you want the answer simplified only according to like terms then your answer will be ⇨
This cannot be further simplified as there are no more like terms (you can use the biquadratic formula if you've learned it.)
Answer:
The expression that shows how long the two machines will operate simultaneously is:
Step-by-step explanation:
We know that:
x: hours to manufacture a deck of cards for machine A
y: hours to manufacture a deck of cards for machine B
z: hours that machine A operates alone
The number of decks manufactured only by machine A is:
So, the remaining decks are given by:
Then, the combined rate of machines A and B would be:
The work-rate formula is:
Hence, the time that the two machines work simultaneously is:
Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:
More can be learned about probabilities at brainly.com/question/14398287
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