Answer:
x = 3
Step-by-step explanation:
7/x - 3/(2x) + 7/6 = 9/x
x(7/x - 3/(2x) + 7/6) = x(9x)
x*7/x - 3*x/(2x) + x*7/6 = x*9x
7 - 3/2 + 7x/6 = 9
7x/6 = 9 - 7 + 3/2
7x/6 = 2 + 3/2
7x/6 = 12/6 + 9/6
7x = 12+9
7x = 21
x = 21/7
x = 3
probe:
7/3 - 3/(2*3) + 7/6 = 9/3
14/6 - 3/6 + 7/6 = 3
(14 - 3 + 7) / 6 = 3
18/6 = 3
Answer:
Step-by-step explanation:
<h3>Given</h3>
- f(n) = n ^ 4 + 5n ^ 3 + 2n ^ 2 - 5n + 13
<h3>To find </h3>
<h3>Solution</h3>
<u>Substituting n with -2</u>
- f(-2) =
- (-2)^4 + 5(-2)^3 + 2(-2)^2 - 5(-2) + 13 =
- 16 - 40 + 8 + 10 + 13 =
- 7
Y when x=0: 3
y when x=1: 2
y when x=3: 2
y when x=4: 3
Answer:
Step-by-step explanation:
The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
in this exercice : x1 = 3 and y1 =2
let A(3,2) B(-9,6)
the slope is : m = (YB - YA)/(XB -XA)
(6-2)/(-9-3) =4/(-12) = -1/3
the slope is m = -1/3
The equation is : y – y1 = m(x – x1)
y-2 =-1/3 ( x-3)
or : 3y-6 = -x+3
Let us assume number of points scored by Team B = b points.
Number of points scored by Team A 5 fewer than twice as many points as Team B, that is "5 less than 2b" = (2b-5) points .
Team C scored 80 more points than Team B, that is " 80 more than b" = (b+80) points.
Total number of points scored by all teams = 983 points.
Therefore, we can setup an equation:
<h3>(2b-5) + b + (b+80) = 983.</h3>
Therefore, an equation to represent this scenario using the variable b to represent Team B’s total points is (2b-5) + b + (b+80) = 983.
