Answer:
46 and 59
Step-by-step explanation:
let the smaller number be n then the larger number is n + 13 and summing them gives the equation
n + n + 13 = 105
2n + 13 = 105 ( subtract 13 from both sides of the equation )
2n = 92 ( divide both sides by 2 )
n = 46
the 2 numbers are n = 46 and n + 13 = 46 + 13 = 59
Answer:
-3 < x
Step-by-step explanation:
3(x + 2) > X.
Distribute
3x+6 >x
Subtract 3x from each side
3x-3x +6 >x-3x
6> -2x
Divide each side by -2, remembering to flip the inequality
6/-2 < -2x/-2
-3 < x
Answer:
Option B
Step-by-step explanation:
From the graph attached,
x-intercepts of the graph are x = -1, 2 and 5
y-intercept of the graph is y = 10
Since, x intercepts of a graph define the zeros of the function (y = 0)
Therefore, (x + 1), (x - 2) and (x - 5) are the zero factors of the given graphs.
And the equation of the function will be,
f(x) = a(x + 1)(x - 2)(x - 5)
Since, -intercept of the function is y = 10
Therefore, for x = 0,
y = a(0 + 1)(0 - 2)(0 - 5) = 10
a(10) = 10
a = 1
So the function representing the graph is,
f(x) = (x - 1)(x + 2)(x - 5)
Option B will be the answer.