Answer:

Step-by-step explanation:
So you have the equation:
. As you may know, you cannot divide by 0, so y has to be restricted in a way that the denominator is never equal to 0. So to find when y makes the denominator 0, simply set the denominator equal to 0, and solve for y. This gives you the equation: 5+y = 0, y=-5. So the y value CANNOT be equal to -5. Because it makes the denominator 0. so
would be the restriction.
Answer:
Step-by-step explanation:
4000 years
The mean would tell you the average number of repairs per vehicle type. It is the total amount of repairs divided by the total number of vehicles.
The mean absolute deviation (MAD) describes how close the values are typically to the mean. It is an average of the distances the individual points are from the mean. Basically, it tells how spread out the data is.
Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
Answer:
234 times
Step-by-step explanation:
<u>Number of times the number 7 appears in a hundred</u>
7 as units digit (07-17-27 ..... 97): 10 times
7 as tens digit (70-71-72..... 79): 10 times
20 times the digit 7 appears in first one hundred (0-100)
Let's calculate how many times 7 would be as units or tens in 7 hundreds
20X7 = 140 times digit 7 appears until number 699
<u>Now, from 700 to 777</u>
7 as hundreds digit (700-701-702 .... 777): 78 times
7 as tens digit (770-771-772 .... 777): 8 times
7 as units digit (707-717-727....777): 8 times
78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times
140 + 94 = 234 times