Answer:
Step-by-step explanation:
So let's find the equation of the line for f(x). We know the y-intercept, also known as b in the equation of the line for f(x), is 3. (b = y-intercept = 3)
y = mx + <u>b</u>
y = mx + <u>3</u>
Now, to find the slope you must use the formula of...
(y₂ - y₁) / (x₂ - x₁)
We have two points of the line already shown. We will now use the formula to find out the slope.
(3 - 1) / (0 - 1) = 2 / -1 = -2, the slope is -2. (m = slope = -2)
y = <u>m</u>x + 3
y = <u>-2</u>x + 3
Now check the following statements and see which ones are true.
A is <em>not </em>a true statement.
B is <em>not </em>a true statement because a slope of -6 is steeper than -2. The negative slope only changes the direction of the line.
C is <em>not </em>a true statement because the slope of f(x) is not undefined.
D <u>is</u> a true statement because the line of f(x) is less steep than the slope of g(x).
KEEP IN MIND THE SLOPE IS M IN THE EQUATION OF A LINE.
Answer:
Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.
Step-by-step explanation:
If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
Answer:
The answer is D: No solutions exist
We will transform the equation to the vertex form:
y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =
= ( x + 4 )² - 4
Vertex form is: y = a ( x - k )² + h
Vertex coordinates are: ( - 4, - 4 ).
Answer:
- trailing zeros are dropped
- 1846 beats
- 42×(selling price for 1 tin)
Step-by-step explanation:
41. The product of 0.25 and 0.4 is 0.100, with three decimal places. Trailing zeros are usually dropped--except when they are used to indicate significant digits in a calculation. Hence, the usual presentation of the result is ...
0.25 × 0.4 = 0.1
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42. To find total beats, multiply beats per second by seconds.
(52 beats/second)(35.5 seconds) = (52)(35.5) beats = 1846 beats
The hummingbird's wings will beat 1846 times in 35.5 seconds.
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43. To find total sales for the week, multiply the price of a tin of popcorn by the number sold in the week (42).
