For the function [tex]\frac{10}{x + 5}[/tex] , we can say
The domain of f(x) is (–∞, –5) U (–5, ∞).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
What is domain of a function?The domain of a function is the set of all possible inputs for the function.
What is range of a function?The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs
What is asymptote?An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.
What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0How to know the domain of function?The given function is [tex]\frac{10}{x + 5}[/tex]
Now, if x = -5 then the function becomes undefined.
∴ The domain of the function is all real numbers except -5
So, The domain of f(x) is (–∞, –5) U (–5, ∞).
So, option a is correct.
How to know the range of the function?Clearly, the range of the function includes all real numbers
So, option B is wrong
How to find the x-intercept?To find the x-intercept , we will have to solve f(x) = 0, which is not at all possible for this function.
So, option C is wrong
How to find the y-intercept?To find the y-intercept, we need to do x = 0So, putting x = 0 in the function we get f(x) = 2
So, the y- intercept is (0, 2).
So, option D is correct.
How to find vertical asymptote ?To find the vertical asymptote, we need to make the denominator = 0∴ x+ 5 = 0
∴ x = -5
So, there is a vertical asymptote at x = –5.
Hence option E is correct.
How to find the end behavior?We can see,
As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0So, as x tends to -∞, f(x) will tend to 0
So, Option F is correct.
Find more about "Domain and Range of Functions" here: https://brainly.com/question/1942755
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Answer:
ADEF
Step-by-step explanation:
ADEF
4x - 7 (2 - x) = 3x + 2
Answer:
x=2
Step-by-step explanation:
4x−7(2−x)=3x+2
4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)
4x+−14+7x=3x+2
(4x+7x)+(−14)=3x+2(Combine Like Terms)
11x+−14=3x+2
11x−14=3x+2
Step 2: Subtract 3x from both sides.
11x−14−3x=3x+2−3x
8x−14=2
Step 3: Add 14 to both sides.
8x−14+14=2+14
8x=16
Step 4: Divide both sides by 8.
x=2
Solve for x: 3.8x − 2(x − 9) = 4.4x + 5
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3.8x-2(x-9)=4.4x+5[/tex]
Distribute the -2:
[tex]3.8x+(-2x+18)=4.4x+5[/tex]
Combine like terms on the left:
[tex]1.8x+18=4.4x+5[/tex]
Subtract 1.8x from both sides. The left cancels:
[tex]18=2.6x+5[/tex]
Subtract 5 from both sides. The right cancels:
[tex]13=2.6x[/tex]
Divide both sides by 2.6:
[tex]x=13/2.6[/tex]
Simplify (multiply both layers by 10 to get rid of the decimal):
[tex]x=130/26[/tex]
Reduce (divide both layers by 26):
[tex]x=5[/tex]
So, the value of x is 5.
Answer:
5
Step-by-step explanation:
Step 1:
3.8x - 2 ( x - 9 ) = 4.4x + 5
Step 2:
3.8x - 2x + 18 = 4.4x + 5
Step 3:
1.8x + 18 = 4.4x + 5
Step 4:
18 = 2.6x + 5
Step 5:
13 = 2.6x
Answer:
5 = x
Hope This Helps :)
Answer and I will give you brainiliest
MATH
Answer:
I think that the answer would be question 3
Step-by-step explanation:
I think i remember doing this question
Find Y pls
Thank you
Answer:
y=3
y=1
y=0
Step-by-step explanation:
[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]
Answer:
y=3
y=1
y=0
Step-by-step explanation:
For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.
x=-1
[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex] [multiply]
[tex]y=\frac{1}{2}+\frac{5}{2}[/tex] [add]
[tex]y=\frac{6}{2}[/tex] [divide]
[tex]y=3[/tex]
---------------------------------------------------------------------------------------------------------------
x=3
[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex] [multiply]
[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex] [add]
[tex]y=\frac{2}{2}[/tex] [divide]
[tex]y=1[/tex]
---------------------------------------------------------------------------------------------------------------
x=5
[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex] [multiply]
[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex] [add]
[tex]y=0[/tex]
Complete the expressions to find the perimeter P of a rectangle that is 7 inches long by 5 inches wide.
P21+2
-2.7+
20
15
Answer:
[tex] P = 2*7 + 2*5 [/tex]
[tex] P = 14 + 10 [/tex]
[tex] P = 24 inches [/tex]
Step-by-step explanation:
Lenght (l) of rectangle = 7 inches
Width (w) of rectangle = 5 inches
Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]
Plug in the values of l and w into the formula:
[tex] P = 2*7 + 2*5 [/tex]
Multiply each
[tex] P = 14 + 10 [/tex]
Add together
[tex] P = 24 inches [/tex]
the number of hours you work in a week.
Answer:56 hours a week is what you have to work 8 hours a day 7 days a week
find the indicated unknown angle measure.
Answer:
Pretty sure it's 47°
You are the CEO of a big company. You are paid an annual salary, plus a bonus of the company's profits over $5,000,000,000. Consider the two functions: g(x) = x - 5,000,000,000 ; f(x) = 0.01x which of the following represents your bonus?
a. (g ⚬ f)(x)
b. (f ⚬ g)(x)
Answer:
(g ⚬ f)(x)
Step-by-step explanation:
(g ⚬ f)(x)
g The following scatterplot shows the 20 top-selling cars with their weight on the horizontal axis and their miles per gallon (mpg) on the vertical axis. The overall direction of this data is __________. The strength of the association is __________. a.) positive; weak b.) positive; strong c.) negative; strong d.) negative; weak
scatterplot relating to the question is attached below.
Answer: Negative ; Strong
Step-by-step explanation:
From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.
the floor of a house is shaped like a parallelogram the height of the parallelogram is 8 feet less than the base. the base is 48 feet. the length of the other side of the parallelogram is 45 ft what is the area of the floor?
Answer:
1920 ft^2
Step-by-step explanation:
base = 48 ft
height = 48 ft - 8 ft = 40 ft
area = base * height
area = 48 ft * 40 ft
area = 1920 ft^2
Solve the equation for y in terms of x
12x + 3y = 12
Answer:
y = 4 - 4x
Step-by-step explanation:
Step 1: Write equation
12x + 3y = 12
Step 2: Subtract 12x on both sides
3y = 12 - 12x
Step 3: Divide both sides by 3
y = 4 - 4x
Answer:
12x + 3y = 12
3y=12-12x
y=(12-12x)/3=3(4-4x)/3=4-4x
The mean of data set A ls 43.5 and the MAD is 3.7. The mean of data set B is 12.8 and the MAD is 4.1.
1. Which data set shows greater variability? Explain your reasoning
Answer:
Data Set B
Step-by-step explanation:
Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set
It can also be defined as the deviation of the mean from the data points or values given in a data set.
From the above question, we are told that:
The mean of data set A ls 43.5 and the MAD is 3.7.
The mean of data set B is 12.8 and the MAD is 4.1.
Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.
Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.
Answer:
b
Step-by-step explanation:
which is the right one????
B) 13
Step-by-step explanation:
Set up the question by doing 2x + 10 + 4x + 1 = 29 since both of these sections equal KN or 29. Simplify it to 6x + 11 = 29. Subtract 11 from both sides so 6x = 18. Divided both sides by 6 so x =3. CN’s equation is 4x + 1. Plug 3 in for x to be 4(3) + 1 which is 13. Hope this helped!
Answer:
13
Step-by-step explanation:
If 29 is KN, that would mean that both expressions, since they make up KN, add up to 29.
So, you end up combining like terms and getting this:
6x+11=29
Subtract 11 from both sides
6x=18
Divide both sides by 6
x=3
and now to find out CN, simply plug 3 in for x:
4(3)+1
12+1
CN=13
Find the coordinates of n if n is exactly halfway between m (-10,-13) and d (-7,-7)
A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $100 down and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase? PLEASE HELP ME !
Answer:
250 Dollars
Step-by-step explanation:
100 down + 50 x 14
100 +700= 800
800-550= 250
$150 is saved by paying the total amount at the time of purchase.
Jazziel bought a smart phone 5 years ago for $90. His sister paid 30% more for the same model. Show your work in the space provided to answer the following questions. Part A: How much more did his sister pay for her phone? a) $27 b) $30 c) $36
Answer:
B
Step-by-step explanation:
90/3=30
please help! BRAINLIEST to best answer!
Answer:
I'm not sure if I'm right but you should try X = the x value of the vertex.
A construction worker estimates that a kitchen remodel will take 1 person 200 hours. If 5 people work on the job for 8 hours a day, how many days will it take for them to complete the job?
Answer:
5 days
Step-by-step explanation:
Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days
Answer:
It will take them five days.
Step-by-step explanation:
So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.
.48 covert to fraction
Answer:
12/25
Step-by-step explanation:
Pattern in this sequence
1,1+3,1+3+5,1+3+5+7, ...
Answer:25
Step-by-step explanation:
1 , 1+3 ,1+3+5 ,1+3+5+7,_
1 , 4 , 9 , 16 ,_
From 1 to 4 there is a difference of 3
From 4 to 9 there is a difference of 5
From 9 to 16 there is a difference of 7
From 16 to x there should be a difference of 9 because all the differences mentioned above are all odd numbers so that is the pattern in the sequence
16+9=25
A class has 6 boys and 14 girls. What is the ratio in simplest form?
Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7
Step-by-step explanation:
The factors of 6-1,2,3,6
The factors of 14-1,2,12,14
The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.
If all else remains constant and the values of two variables move in the same direction it indicates a Group of answer choices negative slope relationship. inverse slope relationship. the values of the two variables will move in the same direction then move in opposite directions. positive slope relationship.
Answer:
positive slope relationship.
Step-by-step explanation:
When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.
For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.
Please check the attached image for a positively correlated curve
Someone please help me.
Answer:
1 is good number 2 is wrong number 3 is good
Step-by-step explanation:
your welcome im juss writting more so it wont say issa short question!!
6.1+
4.55+
1.09 +
15.9+
3.771
Answer:
31.411
Step-by-step explanation:
6.1+4.55+1.09+15.9+3.771= 31.411
write the ratio to 10 ounces to 4 pounds
1 pound = 16 ounces
you should make both with the same unit measurement. Let's convert them to ounces.
4 pounds= 4x16 ounces=64 ounces
ratio 10 ounces to 4 pounds= 10 ounces : 64 ounces
= 5 ounces : 32 ounces= 5 : 32
Answer:
5 : 32Step-by-step explanation:
1 pound = 16 ouncestherefore, 4 pounds = 64 ounces= 10 ounces : 64 ounces = 5 : 32Here is ur answer !!!plzz like share and comment guys!!!!!!! and don't forget to vote
which polynomial represents the company’s total output?
Answer:
C. 2b^3 + b^2 - 2b - 380
Step-by-step explanation:
Factory A: 2b^3 - 3b^2 + b - 120
Factory B: 4b^2 - 3b - 260
Add the polynomials:
2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =
Be careful to combine like terms.
= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260
= 2b^3 + b^2 - 2b - 380
Answer: C. 2b^3 + b^2 - 2b - 380
A triangle measures 12 degrees and 40 degrees what is the measurement of the 3rd angle of the triangle
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]
Step-by-step explanation:
Sum of angles of triangle add up to 180°
Let the third angle be x
Create an equation and solve for x
[tex] \sf{x + 12° + 40° = 180°}[/tex]
[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]
[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]
[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]
Hope I helped!
Best regards! :D
Hi i understand that the answer to the missing coordinate is 0 but can somebody explain to me how to get there? When i try to do the problem I get 5 even though the correct answer seems to be 0. Please help me.
PLS HELP ASAP OR I WILL FAIL How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of 2 7/10 mph
Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.
Answer:
3/5
Step-by-step explanation:
just did it and my school said i got it right
Which mathematical symbol would best fill in the blank to compare the two real numbers?√7_14/5
Answer:
√7 is less than 14/5
Step-by-step explanation:
√7 equals about 2.6
14/5 equals 2.8