Answer:
Negative slope
Step-by-step explanation:
It is negative.
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
There were 240 men at the recital.
Answer:
The explicit formula for the given expression is
.
Step-by-step explanation:
The given sequence is
-7, -4, -1, 2, 5
The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.
The first term of the given AP is -7 and the common difference is

The explicit formula for an AP is

Where, a is first term, d is common difference and n is number of terms.
Substitute a=-7 and d=3 in the above equation.



Therefore the explicit formula for the given expression is
.
Answer:
18=6b, b=3
Because Mary has 6 times as much as Carlos does, we put the x with 6. 18 is the number that 6x equals. 6*3=18
Answer: OPTION A
Step-by-step explanation:
The equation of the line in slope-intercept form is:

Where m is the slope and b the y-intercept.
Solve for y from each equation:

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.