Simplifying this, we get:
(x+4)(x-4) = 0
Now, to get 0, we can replace x for one of these things to make 0, so:
x can either be 4, or -4
Answer:
P(x) = -1.1x +49
Step-by-step explanation:
You are given the percentage in 2000 (for x=0) as 49, and told that its rate of change is -1.1 percent per year. So, with a slope of -1.1 and an intercept of 49, the slope-intercept form of the linear equation becomes ...
P(x) = -1.1x +49
_____
The slope-intercept form for slope m and y-intercept b is ...
y = mx + b
Answer:
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Answer:
Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3
Step-by-step explanation:
We can set up a proportion comparing the sides of the original triangle to the new triangle.
The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.
We can write 3 ratios, with the length of the new triangle over the length of the old triangle.
8/12 e/9 f/5
To figure out e and f, put each ratio equal to 8/12.
<u>8 </u> = <u>e</u> Then multiply both sides of the equation by 9 and get <u>72 </u> = e, 6=e.
12 9 12
<u>8 </u> = <u>f </u> Then multiply both sides of the equation by 9 and get <u>40 </u> = f, <u>10</u>=f.
12 5 12 3
10/3 can be rewritten as 3 1/3.
Answer:
the two groups differed in their attitudes toward advertising, significantly
Step-by-step explanation:
given that until recently a number of professions were prohibited from advertising. In 1977, the U.S. Supreme Court ruled that prohibiting doctors and lawyers from advertising violated their right to free speech. The paper "Should Dentists Advertise?" Journal of Advertising Research, June 1982) compared the attitudes of 101 consumers and 124 dentists to the questions "I favor the use of advertising by dentists to attract new patients".
Hypotheses would be
H-0: the groups do not differ
H-a: The two groups differ significantly
(two tailed chi square test)
Observed
Group Strongly agree Agree Neutral Disagree Strongly disagree Total
Consumers 34 47 9 6 5 101
Dentists 9 18 23 28 46 124
Expected is calculated as row total * column total / grand total for each cell
chi square = (obs - exp)^2/Exp for each cell added
chi square = 79.2716
rxc 5x2
df = 4x1 =4
p value <0.00001
Since p < alpha say 0.01, we reject null hypothesis.
the two groups differed in their attitudes toward advertising, significantly