Answer:
4y+x = -4
Step-by-step explanation:
For the line x = -5, this is an x intercept written as (-5, 0)
Next is to find the equation of a line passing through (-5,0) and (3, -2)
Slope m = -2-0/3-(-5)
m = -2/8
m = -1/4
Get the y intercept
Substitute m =-1/4 and (-5,0) into the expression y - mx+c
0 = -1/4(-5) + c
0 = 5/4 + c
c = -5/4
Get the required equation;
y = -1/4 x - 5/4
4y = -x - 4
4y+x = -4
This gives the required equation
The possible combination is 1365.
The correct option is (B)
<h3>What is Combination?</h3>
Combinations are also called selections. Combinations correspond to the selection of things from a given set of things. Here we do not intend to arrange things. We intend to select them. We denote the number of unique r-selections or combinations
Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by
nCr = n!/ r!( n- r)!
Given:
Players, n = 15
Selected, r = 11
So,
15 C_11
= 15!/ 11 ! 4 !
= 15*14*13*12 / 4*3*2
= 1365
Hence, the possible combination is 1365.
Learn more about combination here:
brainly.com/question/28070931
#SPJ1
Answer:
c. 9,000 students
Step-by-step explanation:
Step 1: Set up the equation
Step 2: Simplify both sides of the equation.
Step 3: Multiply both sides by 5/3.
Therefore, the correct answer is c. 9,000 students.
Answer:
x = 8
Step-by-step explanation:
A graphing calculator can show you the answer easily. It works well to define a function whose x-intercept is the solution. We can do that by subtracting 300 from the given equation so we have ...
F(2, x, 4, 11) -300 = 0
The solution is x = 8.
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We can solve this algebraically:
F(2, x, 4, 11) -300 = 0
2^x +4·11 -300 = 0 . . . . use the function definition
2^x -256 = 0 . . . . . . simplify
2^x = 2^8 . . . . . add 256
x = 8 . . . . . . . . . match exponents of the same base
Answer:
the problem has an infinite number of solutions
Explanation:
3x - 12y = 6
x - 4y = 2
make the coefficient of x same by multiplying the entire following by 3
⇒ ( x - 4y = 2 ) * 3
⇒ 3x - 12y = 6 __ equation 2
3x - 12y = 6 __ equation 1
solving using elimination method:
3x - 12y = 6
3x - 12y = 6
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