14% of 40,000,000 is 5,600,000
Answer:
f(x) = 3x + 8 is the required linear function.
Step-by-step explanation:
We know that the slope-intercept form of linear equation is
y = mx+b
here
- m is the slope of the line, and
Given initial value
f(0) = 8
Thus, the y-intercept = b = 8
Also given
at x = 4, f(4) = 20
so
substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope
y = mx+b
20 = m(4) + 8
20 = 4m + 8
4m = 20-8
4m = 12
Dividing both sides by 4
m = 3
Thus, the slope = m = 3
Now, substituting m = 3 and b = 8 in the slope-intercept of linear function
y = mx+b
y = 3x + 8
or
f(x) = 3x + 8
Thus,
f(x) = 3x + 8 is the required linear function.
VERIFICATION:
Given the linear function
f(x) = 3x + 8
plug in x = 0
f(0) = 3(0) + 8
f(0) = 8
plug in x = 4
f(x) = 3x + 8
f(4) = 3(4) + 8
f(4) = 12+8
f(4) = 20
Answer:
-7
Step-by-step explanation:
-6x+3=45
45-3=42
-6x=42
42÷-6=-7
x=-7
Answer:
9x does
Step-by-step explanation:
hope it helps
remind me if its wrong
Answer:
(17)
Sum of interior angles of a quadrilateral is 360°
- 110° + 130° + x + x - 3° = 360°
- 2x = 360° - 237°
- 2x = 123°
- x = 61.5°
(18)
Sum of interior angles of a hexagon is 180°*(6 - 2) = 720°
- 2*90° + 2x + 2(x + 22°) = 720°
- 90° + x + x + 22° = 360°
- 2x = 360° - 112°
- 2x = 248°
- x = 124°
(19)
Interior angles of a given pentagon are all marked as congruent, so the exterior angles are congruent too.
Sum of exterior angles is 360°.
