Answer:
The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.
Step-by-step explanation:
A linear equation can be expressed in the form y=m*x + b. In this equation, x and y are coordinates of a point, m is the slope and b is the y coordinate of the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
When there are two points of a line (x1, y1) and (x2, y2), the slope is determined by the quotient between the difference of the ordinate of these two points and the difference of the abscissa of the same points. This is:
Having a point on the line, you can substitute the values of m, x and y in the equation y = mx + b and thus find b.
In this case:
- (x1, y1): (92, 107)
- (x2, y2): (116, 113)
So:
m= 0.25
substituting the values of m, x1 and y1 in the equation y = mx + b you have:
107= 0.25*92 + b
107 - 0.25*92= b
84=b
<u><em>The equation in slope-intercept form that represents the situation is y=0.25*x + 84 where y represents the temperature in ° F and x the number of chirps per minute.</em></u>
The answer is 75
First you subtract 180 and 165 to find that smallest angle inside the triangle(15). Then you add 15 and 90,the two angles you know, and do 180 - 105= 75.
The trick is that all angles inside a triangle equal 180 degrees. Hope this helps!
Answer:
an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)
sn = 6 - 2·0.5^n·(2·n + 3)
The expression is written as (4n/9) + 14
What is an expression?
An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. Many writers differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical things. For instance, is a formula. However, in modern mathematics, and particularly in computer algebra, formulae are considered as expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The expression is written as (4n/9) + 14
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Answer:
$63
Step-by-step explanation:
15.75 / 3 = 5.25
5.25 is what each ticket was worth
5.25 * 12 = 63
