Answer:
There are an infinite number of solutions.
Step-by-step explanation:
An equation with 2 unknowns give an infinite amount of solutions, here is just one of the many:
Let y= 3 ( y can be any number)
(3) + 1 = -4x
4 = -4x
x = -4/4
x= -1
(x;y) = (-1;3)
Generally x and y can be any number, just let x or y be any number, then find the other variable based on the value of the number u assumed.
The graph behavior of the function that satisfied the conditions given are:
- Horizontal asymptote at y = 0.
- Vertical asymptotes at x = -1 and x = 1.
<h3>What are the asymptotes of a function f(x)?</h3>
- The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, or values of x for which the value of the limit goes to infinity.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity, that is, the limit of f(x) as x goes to infinity.
Hence, for this problem, the graph behavior is given by the following asymptotes:
- Horizontal asymptote at y = 0.
- Vertical asymptotes at x = -1 and x = 1.
More can be learned about asymptotes at brainly.com/question/16948935
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Answer:
(0.6613, 8.3387)
Step-by-step explanation:
Let the heights of men be the first population and the heights of women be the second population. Then
We have
,
,
and
,
,
. The pooled
estimate is given by

The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)
, i.e.,

where
is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So
, i.e.,
(0.6613, 8.3387)
<span>a. 2 ft. 5 in. + 9 in.=2 ft 14 in.=2 ft. (12+2) in.=3 ft. 2 in. (since 1 ft.=12 in.);
</span>
<span> b. 4 yd. 8 in + 6 yd. 6 in. =(4+6) yd. (8+6) in.=10 yd. 14 in.=10 yd. (12+2) in.=10 yd. 1 ft. 2 in.;
</span>
<span>c. 29 yd. 2 ft. 11 in. + 55 yd. 1 ft. 10 in. + 13 yd. 1 ft. 3 in.=(29+55+13) yd. (2+1+1) ft. (11+10+3) in.=97 yd. 4 ft. 24 in.=97 yd. (3+1) ft. (12+12) in.=98 yd. 3 ft.=99 yd.
</span>
d. 4,839 sq. yd. 8 sq. ft. 139 sq. in. + 7 sq. ft. 124 sq. in.=4,839 sq. yd. (8+7) sq. ft. (139+124) sq. in.=<span>4,839 sq. yd. 15 sq. ft. 263 sq. in. =</span>
<span>4,839 <span>sq. yd. 15 sq. ft. (144+119) sq. in.=</span></span><span>4,839 sq. yd. 16 sq. ft. 119 sq. in.=</span><span>4,839 <span>sq. yd. (9+7) sq. ft. 119 sq. in.=</span></span><span>4,840 <span>sq. yd. 7 sq. ft. 119 sq. in.</span></span>
Answer:
31 raffle tickets
Step-by-step explanation:
23.25 divided by 0.75 = 31