Answer:
49
Step-by-step explanation:
If the smaller number is
x
, then the larger number is
2
x
−
3
Explanation:
(
x
)
+
(
2
x
−
3
)
=
75
3
x
−
3
=
75
3
x
=
78
x
=
26
The numbers are 26 and 49.
The sum of the angles of an n-sided polygon is (n-2)×180°
For a 30-gon, it would be 28x180 = 5040, answer B
Second question is more of a trick question. Exterior angles always add up to 360. So answer H.
The first thing you need to do is calculate the slope. pick 2 of the ordered pairs.
i'll use (1, 4) and (0, 6)
m = (6 - 4)/(0 - 1)
m = (2)/(-1)
m = -2
so the slope is -2. slope intercept form is written as y = mx + b and you have one part of that equation
y = -2x + b
to find b, use one of the selected points. i'll use (0, 6).
(6) = -2(0) + b
6 = b
b = 6
therefore:
y = -2x + 6
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,




= -2.5


= 2.5


= 7.5
2nd difference,


= 5


= 5


= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.