Answer:
-25
Step-by-step explanation:
(1) y = -2x²
(2) y = 2x² + k Subtract (1) from (2)
0 = 4x² + k Subtract 4x² from each side
k = -4x²
The parabolas are <em>symmetrical about the y-axis.</em>
Segment AB = 5, so x = +2.5 and x = +2.5.
k = -4(±2.5)² = -4 × 6.25 = -25
Answer:
6 - Not similar
7 - Similar, 2x factor
8 - Similar, 3x factor
9 - Similar, 3x factor
10 - Not similar
11 - Similar, 5/3x factor
12 - x = 15
y = 25
z = 115
Step-by-step explanation:
Answer:
A
Step-by-step:
a^2+ b^2 = c^2
if we try A
6^2+8^2 = 10^2 => 64+36 = 100
To begin lets say year one the population is 2,000
assume this in percent we can say that 2,000=100%
at the end of this year the population will have grown by 4% meaning that
100%+4% will be the new population =104%
but we know that 100%=2,000 so what about 104%=X?
so (104*2000)/100=2,080
So year 1 the population will have grown by 80 people amounting to 2080 people.
Now do it manually year by year until we reach the 15th year. i will help you up to year 3
2nd year= (2080*104)/100=2163.2
3rd year= (2163*104)/100=2249.728
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Answer: B. 
Step-by-step explanation:
Let 
be the proportion of all U.S. adults that smoked in 1995. Let 
denote the proportion of all U.S. adults that smoked in 2000.
Objective for the study : Whether the proportion of U.S. adults that smoke declined during the 5-year period between the samples.
i.e. 
Alternative hypothesis
is the statement containing population parameter that shows there is significant difference between the groups being tested.
⇒
Null hypothesis
is the statement containing population parameter that shows there is no significant difference between the groups being tested.
⇒
Hence, The hypotheses to test in this problem are
Hence, the correct answer is B.
