Answer:
First five terms are:
4300, 4240, 4180, 4120, 4060
Step-by-step explanation:
Minus 60 from the predicted number of cars in the first month to get the second month, then do the same for the predicted number of cars in the second month to get the third month and so on.
The expression for the nth term would be = 4300 - (n-1)(60)
= 4360 - 60n
B) 7n−3=n+4
In this case, 'n' is used in place of the word 'number'. 'Product' refers to multiplication, so we multiply n by 7. 3 LESS refers to subtraction, so we subtract 3 from 7n. Then, we know that the solution to that is four more than what the actual number is. MORE refers to addition, so we add 4 to n.
Answer:
<em>x = 2</em>
<em>divide each term by 3 and simplify.</em>
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

The vertex of a parabola is the maximum or minimum value, and it’s represented by (x,y). The axis of symmetry is the vertical line that runs through the x axis, and also runs through the vertex. This means that the x value in the vertex (x,y) can represent the axis of symmetry.