Answer:
B
Step-by-step explanation:
the range is the y-values
7x + 6y = 31
The solution is, (1,4) is the solution of the system of equations and choose the correct ordered pair.
4x + 3y = 16
7x + 6y = 31
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
equation: 1
4x+3y=16
y=(16-4x)/3
equation: 2
7x+6y=31
y=(31-7x)/6
now, we have,
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1
we get,
4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4
so, we have,
x=1, y=4
therefore the answer is B (1,4)
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B) 0.8
C) 0.9
D) 0.75
0.85 is the probability that you will roll an even number or odd prime number
It is a branch of mathematics that deals with the occurrence of a random event.
A twenty-sided number cube has 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) and 7 odd prime numbers (3, 5, 7, 11, 13, 17, 19).
To find the probability of rolling an even number or an odd prime number
We need to calculate the total favorable outcomes (even numbers and odd prime numbers) divided by the total possible outcomes (numbers 1 to 20).
Total favorable outcomes = 10 (even numbers) + 7 (odd prime numbers) = 18
Total possible outcomes = 20
Probability = Total favorable outcomes / Total possible outcomes = 17 / 20 = 0.9
Hence, 0.85 is the probability that you will roll an even number or odd prime number
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Answer:
0.85
Step-by-step explanation:
total samples cases = 20
chances that are even or odd prime are 17 chances
2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20
probability = 17/20
= 0.85
To find the triples of the 3 positive integers (x,y,z) that are products of 24, consider the prime factorization of 24 and distribute these prime factors among x, y and z. Remember to consider permutations.
The student is asking about triples of positive integers (x,y,z) whose product is 24. To find these triples, consider the prime factorization of 24, which is 2^3*3.
Triplet possibilities are created by distributing these prime factors among x, y, and z. For instance, (1,1,24), (1,2,12), (1,3,8), (1,4,6), (2,2,6), and their permutations.
When considering permutations, remember each triple can be ordered in 3! = 6 ways. Making each distinct triple six separate triples. For example, (1,1,24) becomes [(1,1,24), (1,24,1), (24,1,1), (1,24,1), (1,1,24), (24,1,1)]. Repeat this process for all the distinct triples.
To get the total number of triples, count all the distinct permutations. Keep in mind the triple where all numbers are equal, such as (2,2,6), should be counted only once, as its permutations do not produce distinct triples.
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(
x
)
=
3
x
−
7
and
g
(
x
)
=
3
x
, evaluate
f
(
g
(
−
1
)
)
Answer: f(g(-1)) = -16
Step-by-step explanation:
First, we need to find g(−1), which means we substitute -1 in place of x in the function g(x):
g(-1) = 3(-1) = -3
Next, we substitute g(-1) into f(x):
f(g(-1)) = f(-3) = 3(-3) - 7 = -16
Therefore, f(g(-1)) = -16.
B: x = −2, x = −6
C: x = 3, x = −4
D: x = −3, x = 4
Answer:
x = - 6; x = 2
Step-by-step explanation: