Step-by-step explanation:
J=(x+4)²
K=(8-x)
X=5
=J+3k
=(x+4)(x+4)+3(8-x)
=(x²+8x+16+24-3x)
=25+25+40
=90
Alternatively:
J=(5+4)²
J=81
K=8-5
K=3
J+3k
81+3(3)
81+9
90
Step-by-step explanation:
It is required to find the expressions that are equivalent to 4-x. We can also write it as :
Option (b) : (4-x) = 4+(-x)
Option (c) : (4-x) = -x+4
Hence, the correct options are (B) and (C).
a. The constant of proportionality is k = 2
b. If Micah saves $150, his parents will give him $300
<h2>
Explanation:</h2>
<h3>PART A.</h3>
From mathematics, we know that 
varies directly as 
or is directly proportional to if and only if:
for some nonzero constant 
.
Here we know some facts:
- For every $5 that Micah saves, his parents give him $10.
In other words:
Let y be the money his parents give him.
Let x be the money that Micah saves.
So,<em> the constant of proportionality is k = 2</em>
<h3>
PART B.</h3>
In this case, we know that Micah saves $150. So we need to find the amount of his parents will give him. So what we know here is the value of x, because x represents the amount of money Micah saves. Therefore, by knowing x and k, we can calculate the value of y, which is the amount of money his parents will give him. Hence:
Finally, <em>if Micah saves $150, his parents will give him 300$</em>
<h2>Learn more:</h2>
Cost of pizzas: brainly.com/question/12878495
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Answer:
The answer is 6ab³c(3ab + 4c)
Step-by-step explanation:
You have to collect the like-term :
18a²b⁴c + 24ab³c²
= 6(3a²b⁴c + 4ab³c²)
= 6a(3ab⁴c + 4b³c²)
= 6ab³(3abc + 4c²)
= 6ab³c(3ab + 4c)
Answer:
If the committee must consist at least one student, the probability is 99.96%
Step-by-step explanation:
Given;
number of teachers = 5
number of students = 20
Total number of committee members = 25
Possible outcome of all the members in the 4 committee = 25C₄ ways
= 12650
If the committee must consist at least one student, then the possible outcome;
= Total possible outcome - committee with no student
= 25C₄ ways - 5C₄ ways (all committee members are teachers)
= 12650 - 5
= 12645
The probability that the committee will consist at least one student;
= 12645 / 12650
= 0.9996
= 99.96%
Therefore, if the committee must consist at least one student, the probability is 99.96%
