Answer:
-19.8
Step-by-step explanation:
-3 x 6 = -18
-0.3 x 6 = -1.8
add together: -18 + -1.8 = -19.8
Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)


By the above table,




By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Answer:
<h2>x = 16.55</h2>
Step-by-step explanation:
1.06(12.95 + x) = 31.27
<u>Multiply the terms in the bracket</u>
That's
13.727 + 1.06x = 31.27
<u>Subtract 13.727 from both sides</u>
That's
13.727 - 13.727 + 1.06x = 31.27 - 13.727
1.06x = 17.543
<u>Divide both sides by 1.06</u>
That's

We have the final answer as
<h3>x = 16.55</h3>
Hope this helps you
Answer:
The circumference of clock is, 53.38 cm
Step-by-step explanation:
Circumference(C) of the circle is given by:
....[1]
where, r is the radius of the circle.
As per the statement:
the radius of a clock face is 8.5 centimeters
⇒r = 8.5 cm
Use
Substitute the given values in [1] we have;

Simplify:
C = 53.38 cm
Therefore, the circumference of clock is, 53.38 cm
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5