Answer:
The answer would be A. 1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Considering the given function and the asymptote concept, we have that:
- The vertical asymptote is of x = 25.
- The horizontal asymptote is of y = 5.
- The end behavior is that as
.
<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.
- The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity. Hence it also gives the end behavior of the function.
In this problem, the function is:
.
The vertical asymptote is found as follows:
x - 25 = 0 -> x = 25.
The horizontal asymptote is found as follows:
.
Hence the end behavior is that as
.
More can be learned about asymptotes at brainly.com/question/16948935
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Answer:
Value of b =
=1.25.
Step-by-step explanation:
Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.
*if one variable changes the other changes in proportion to the first.
*If a is directly proportional to b i.e,
then it is of the form
a = kb ;where k is constant variation.
Given: a varies directly as b;
then, by definition of direct variation;
we have;
.....[1]
Substitute the value of a =28 and b =7 to solve for k;
![28 = k(7)](https://tex.z-dn.net/?f=28%20%3D%20k%287%29)
Divide both sides by 7 we have;
![\frac{28}{7}=\frac{7k}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B7%7D%3D%5Cfrac%7B7k%7D%7B7%7D)
Simplify:
k =4
now, find b using same method when a =5;
then;
after substituting the value of a = 5 and k=4 in [1] ;
![5=(4)b](https://tex.z-dn.net/?f=5%3D%284%29b)
Divide by 4 to both sides we get;
![b =\frac{5}{4}](https://tex.z-dn.net/?f=b%20%3D%5Cfrac%7B5%7D%7B4%7D)
Therefore, the value of b =
=1.25
Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
Answer:
$2447.40.
Step-by-step explanation:
We have been given that your parents have been advised to save 5% of their income for your college education, which would include money for housing, tuition, books, and fees. They had an average household income of $48,948.
Let us find 5% of average household income to find the savings of your parents in one year.
![\text{Savings of your parents in one year}=\$48,948\times \frac{5}{100}](https://tex.z-dn.net/?f=%5Ctext%7BSavings%20of%20your%20parents%20in%20one%20year%7D%3D%5C%2448%2C948%5Ctimes%20%5Cfrac%7B5%7D%7B100%7D)
![\text{Savings of your parents in one year}=\$48,948\times0.05](https://tex.z-dn.net/?f=%5Ctext%7BSavings%20of%20your%20parents%20in%20one%20year%7D%3D%5C%2448%2C948%5Ctimes0.05)
![\text{Savings of your parents in one year}=\$2447.40](https://tex.z-dn.net/?f=%5Ctext%7BSavings%20of%20your%20parents%20in%20one%20year%7D%3D%5C%242447.40)
Therefore, your parents would have saved $2447.40 is one year.