Answer:
A. coefficients: 70, 12; variables: x, y.
B. 2 terms: 70x, 12y; separated by an addition symbol
C. 70x
Step-by-step explanation:
We will answer the questions in the context of this problem. In other problems, the meaning of "coefficient", "variable", and "term" may be different.
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A. The coefficients are the numbers; the variables are the letters. Then the coefficients are 70 and 12; the variables are x and y.
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B. Each product is a term. Terms are separated by the + sign. There are two terms in this expression, one on either side of the + sign. When an expression is written with no parentheses, the terms are separated by + or - signs. (Often, we think of the minus sign as being part of the coefficient of the term. Then we can say terms are separated by + signs. 10x + (-32y), for example.)
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C. When you match the coefficients to the numbers in the problem statement, you see that the number matching the earnings at the diner is $70 per shift. If we assume that x represents the number of shifts worked at the diner, then the term 70x will represent the total earned from the diner. It is the product of the earnings per shift and the number of shifts.
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Functions 6 and 7 are linear, 8 is not. This means 6 and 7 have a degree of 1. Since 8 is a quadratic, it has a degree of 2.
The slope is 1 for function 6 and 5 for function 7. Remember, in slope-intercept format, linear equations are written as y=mx+b. X and Y stand for coordinates you can plug in, m represents the slope of the line, and b represents the y-coordinate of the function’s y-intercept. I assume you are familiar with these terms so I won’t explain them.
Number 9 is linear, and you can tell because f(x), which is the output, increases with a constant difference as x increases by 1. In other words, the delta y and delta x is the same between all points.
Number 10 is clearly not linear, because two different x values have the same y value. This is a parabola.
I recommend you graph some of these functions for practice, so you can visualize it better. Imagine the functions as machines. You input a number (x) and you get a number out (y).
For example, in the function f(x)=3x+5, I can input any x, let’s take x as 6, and when I plug it in, I’ll get an output, f(x). 3(6)+5=18+5=23. So my f(x)=23 when x is 6.
Answer:
5.5 ft tall
Step-by-step explanation:
The shadows cast by the pole and by the woman form <em>similar triangles</em>.
In similar triangles, corresponding sides are in the same proportion.
Thus,
18/28.8 = x/8.8
Multiply each side of the equation by 8.8
x = 8.8 × 18/28.8 = 5.5 ft
The woman is 5.5 ft tall.
Answer:
ypu need to use the method before change and after
Answer:
d
Step-by-step explanation:
