The sum of two numbers is 50. The larger number is 6 less than 3 times the smaller number. Find the smaller number. A)14 B)145 C
1 answer:
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Answer:
C
Step-by-step explanation:
The slope intercept of a line is y=mx +b where
- m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
- b is the y-intercept for value on the y-axis for which the line crosses it.
This graph crosses the y-axis (the vertical line) halfway between -1 and -2. This is -3/2. This means only answers a, c, and d are options.
The graph moves up from -3/2 to its next point at (-4,0). We calculate the slope using:
Slope:
We substitute and
This decimal is equivalent to -7/8. This means C is the answer.
Answer:
the explicit formula for h(n) is, -65-10n
Step-by-step explanation:
Given that:
h(1) = -75
h(n) = h(n-1)-10 ......[1]
Put n =2 in [1] we have;
Similarly for n = 3
and so on...
The series we get;
This is an arithmetic sequence series with common difference(d) = -10
Since,
-85-(-75) = -85+75 = -10,
-95-(-85) = -95+85 = -10 and so on
First term(a) = -75
the Explicit formula for arithmetic sequence is given by:
where a is the first term,
d is the common difference and
n is the number of terms.
We have to find the explicit formula for h(n);
Substitute the given values we have;
or
Therefore, the explicit formula for h(n) is, -65-10n
