This question is worth 100 points please answer now. Algebra 2. I will mark you brainliest.
Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.
Answers
Answer:
The vertical asymptotes occur at x = 4 and x = -4
The zero of the function is (0, 0)
Step-by-step explanation:
The given function is [tex]f(x) = \dfrac{4\cdot x}{x^2 - 16}[/tex]
Therefore, we have;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = \dfrac{4\cdot x}{(x - 4) \cdot (x + 4)}[/tex]
The asymptote is given at the value of x for which the denominator = 0, therefore, the asymptote are the values of x that make the denominator of the equation equal to zero, which are given as follows
For the asymptote, the denominator = x² - 16 = (x - 4)·(x + 4) = 0
Therefore, the vertical asymptotes are the lines x = 4 and x = -4.
The zero of the function is given as follows;
[tex]f(x) = \dfrac{4\cdot x}{x^2 - 16} = 0[/tex]
Therefore, 4·x = (x - 4)·(x + 4) × 0 = 0
x = 0/4 = 0
Therefore, when f(x) = 0, x = 0 and the zero of the function = (0, 0).
Related Questions
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answers
Answer:
460
Step-by-step explanation:
Which method could be used to estimate the growth rate of an exponential function from its graph?
-Divide the value of the function at x=3 by the value of the function at x=0, and then take the square root of the result.
-Divide the value of the function at x=2 by the value of the function at x=0, and then square the result.
-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.
-Divide the value of the function at x=0 by the value of the function at x=1, and then subtract the result from 1.
Answers
Answer:
-Divide the value of the function at x=2 by the value of the function at x=1, and then subtract the result from 1.
Step-by-step explanation:
hope this help
pick me as the brainliest dont report me please
Help I can’t fail plz help
Answers
2 . 1/2
3 . 3/2
Reduce to simplest form.
-5/8+(-8/5)=?
Answers
Answer:
[tex]-2\frac{9}{40}[/tex]
Step-by-step explanation:
[tex]-\frac{5}{8}+(-\frac{8}{5}) = -\frac{25}{40}-\frac{64}{40}[/tex] (find common denominator)
[tex]=-\frac{89}{40}[/tex]
[tex]=-2\frac{9}{40}[/tex] (reduce to simplest form)
Hope this helps :)
Zach created a blueprint using only similar parallelograms. Which statement about the parallelograms must be true? A) The parallelograms all have congruent sides and angles. B) The parallelograms have corresponding angles that are not congruent. C) The parallelograms have proportional corresponding sides. D) The parallelograms have corresponding sides that are congruent.
Answers
Answer:
A) The parallelograms all have congruent sides and angles.
Step-by-step explanation:
Remember, a parallelogram in simple words is a flat shape (either a square, rectangle, or rhombus) that has four sides of equal length, and whose opposite angles are congruent.
In other words, Zach's blueprint using similar parallelograms would be chosen from either a square, a rectangle, or a rhombus, which all have congruent sides and angles.
Answer:
C
Step-by-step explanation:
I got it wrong because I listened to the other guy :\
Have a great day!
ALSO: PRESS PICTURE TO SEE PROOF, SORRY IT CAME OUT BLURRY, ONCE YOU PRESS IT, IT WILL BE NORMAL.
A watch decreased in price by
5/6. After the reduction it was priced at £11. What was the original price of the watch?
Answers
Answer:
66
Step-by-step explanation:
A complex number has a real part 4 and an imaginary part coefficient of -3. Which binomial is equivalent to this complex number?
Answers
Answer:
4-3i
Step-by-step explanation:
Here, we want to select the option that best correlate
The real and the complex part can be represented as;
a + bi
In this case, a is the real, b is the complex
So we have that;
Real part 4 and imaginary coefficient of 3
That will be
4 -3i
Answer:b
Step-by-step explanation:
PLEASE HELP ME!! IM TAKING A FINAL AND HATE THESE TYPE OF QUESTIONS!! PLS HELP.
Answers
Answer:
B.
Step-by-step explanation:
Answer:
the answer is A because none of the x-values or y-values repeat
Step-by-step explanation:
Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST
Answers
Answer:
The distance between points C and D is 5.83
Step-by-step explanation:
We need to find distance between points C and D
Looking at the graph we can find coordinates (x,y) of points C and D
Coordinates of point C are: (-4,3)
Coordinates of point D are: (1,0)
The formula used to calculate Distance is:
[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]
Putting values and finding distance between points C and D
[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]
So, the distance between points C and D is 5.83
According to one source, % of plane crashes are due at least in part to pilot error. Suppose that in a random sample of separate airplane accidents, of them were due at least in part to pilot error. Complete parts (a) and (b) below. a. Test the hypothesis that the proportion of airplane accidents due to pilot error is not . Use a significance level of .
Answers
Complete question :
According to one source, 49% of plane crashes are due at least in part to pilot error. Suppose that in a random sample of 100 separate airplane accidents, 61 of them were due to at least in part to pilot error. Complete parts (a) and (b) below. Test the hypothesis that the proportion of airplane accidents due to pilot error is not 0.49. Use a significance level of 0.05.
Determine the null and alternative hypotheses. H0: p Ha: p
Determine the test statistic. Z = (Round to two decimal places as needed.)
Determine the p-value.
Answer:
H0: p = 0.49
Ha: p ≠ 0.49
Zstatistic = 2.45
Pvalue = 0.015
Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49
Step-by-step explanation:
Claim: proportion of airplane accidents due to pilot error is not 0.49
Null and Alternative hypothesis :
H0: p = 0.49
Ha: p ≠ 0.49
Sample size (n) = 100
Number due in part to pilot error = 61
Sample Proportion ph = 61 / 100 = 0.61
Standard Error :
√(p*(1 - p) / n))
√(0.61 * (1 - 0.61) / 100))
√(0. 61 * 0.0039)
= 0.0487749
= 0.049 ( 3 significant figure)
Zstatistic = (ph - p) / SE
Zstatistic = (0.61 - 0.49) / 0.049
Zstatistic = 2.4489795 = 2.45
Using the p value from Z statistic calculator ; α = 0.05, 2 tailed test :
P value = 0.014687 = 0.015
P value < α
0.015 < 0.05
Since the p value is less Than α,
Reject H0, there is sufficient evidence to conclude that population proportion is not 0.49
In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?
Answers
Answer:
70 degrees
Step-by-step explanation:
The measure of all angles in a triangle are 180 always
1. Add 50 + 60 = 110
2. 180 - 110 = 70
Hope that helps dude
which number line shows the solutions to n > 0
Answers
The third line shows the solutions to n > 0.
The correct option is third line.
What is a number line?A horizontal line with uniformly spaced numerical increments is referred to as a number line.
The way the number on the line can be replied will depend on the numbers on the line.
The number's intended use is described in the question that goes with it, such as when graphing a point.
Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.
We have a number-line.
To find the number line that shows the solution, n > 0:
n is greater than 0.
At 0, there is an open dot circle.
And the line should be extended toward positive infinity.
Therefore, third line is required number line.
To learn more about the number lines;
brainly.com/question/24644930
#SPJ5
The name of every student taking Algebra was listed alphabetically and numbered. The teacher uses
an arithmetic sequence to call on students. The numbers of the first 3 students are listed below.
What will be the number of the 25th student chosen?
9,6, 3...
Answers
Answer:
The number will be -63
Step-by-step explanation:
Here, we want to give the number of the chosen 25th student
We can see that the numbering follows an arithmetic sequence where a = 9 and d which is the common difference is (6-9) = -3
Mathematically, we can calculate the nth term using the equation below;
Tn = a + (n-1)d
in this case, n = 25, a = 9 and d = -3
So we have
Tn = 9 + (25-1)-3
Tn = 9 -3(24)
Tn = 9-72
Tn = -63
the two lines graphed on the coordinate grid each responds an equation witch orderd pairs represents a solution to both equations
Answers
Answer:
Step-by-step explanation:
Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships.
You can use a coordinate plane to plot points and to map various relationships, such as the relationship between an object’s distance and the elapsed time. Many mathematical relationships are linear relationships. Let’s look at what a linear relationship is.
NEED HELP ASAP!!!!!!!
Answers
Answer:
x = 45
Step-by-step explanation:
Find the missing angle first, a line is 180 degrees and for the missing angle there's a line cutting it. The outer angle is 170 so the inner angle is 10.
A triangle equals 180 degrees so:
125 + 10 + x = 180
135 + x = 180
subtract 135 from both sides
x = 45
ALERT NEED HELP PLEASE ASAP
Answers
-3/2 = -1.5
And the line crosses at the y-intercept at 1 so the answer would be:
y = -1.5x +1
#5 Determine the x and y intercept of the following
equation.
2x + y = 6
Answers
Answer:
Step-by-step explanation:
y= -2x+6
Y intercept is 6
X intercept is 3
If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 30•n
B. 30^2•n
C. 15^2•n
D. 15•n
Answers
Answer:
C. 15²π
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Diameter: d = 2rArea of a Circle: A = πr²Step-by-step explanation:
Step 1: Define
d = 30 m
Step 2: Find Area
Substitute [D]: 30 m = 2rIsolate r: 15 m = rRewrite: r = 15 mSubstitute [AC]: A = π(15 m)²Rearrange: A = 15²πPlz help 100 points and brainliest
Answers
to your problem is 6/9
hope it helps
Answer:
(1/2 divided by 3/4)
Step-by-step explanation:
Nine people decide to share 2/5 of a pound of popcorn equally. What fraction of the popcorn will
cach person receive?
Answers
Answer: 18/5
Step-by-step explanation: 9/1 • 2/5 = 3.6=18/5
Answer:
[tex]\frac{2}{45}[/tex]
Step-by-step explanation:
Just like you would divide 18 pounds of popcorn by 9 people, you should divide [tex]\frac{2}{5}[/tex] by nine. This will result in [tex]\frac{2}{5}[/tex] x [tex]\frac{1}{9}[/tex] and that equals [tex]\frac{2}{45}[/tex].
Please mark brainliest. Thanks!!!
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answers
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
I need help with this question ASAP
Answers
Did i do it correctly? if no please give the explanation and answer! :):):)
Answers
Answer:
yeah man good job im proud
Step-by-step explanation:
Answer:
You did a very good jod
Step-by-step explanation:
Hope this helped have an amazing day!
Please help me I’m so behind and I’m going to fail if I can’t get this answer. I need 15 but can someone also do 14.
Answers
Answer:
its d 100%
Step-by-step explanation:
8. You deposit $2000 in an account that
earns 5% annual interest. Find the balance
after 1 year if the interest is compounded
quarterly.
A. $2,100
B. $2,101.89
C. $2,102.32
D. $2,102.49
Answers
Answer: A, $2,100
Step-by-step explanation:
2000x1.05=2,100
The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The
third number is two more than the first number, x. Which equation can be used to solve for the first number, X?
Ox+ 5x + x + 2 = 45
O x + x + 3 + x + 2 = 45
O x + 3x + 2 + x + 2 = 45
O x + 2x + 3+x+ 2 = 45
Answers
The option D is correct
O A. Belonging to a particular region or place
A $760 item is marked down by 10% what is the new cost of the item
Answers
Answer:
Step-by-step explanation:
This means the cost of the item to you is $684. You will pay $684 for an item with an original price of $760 when discounted 10%. In this example, if you buy an item at $760 with a 10% discount, you will pay 760 - 76 = 684 dollars.
Answer:
the answer is $684
Step-by-step explanation:
760 x 10 /100= 76
760 - 76 = $684
What is the slope of AB?
Answers
Answer: -2/3
Step-by-step explanation:
If you want to find the slope of something, the quick way is to use [tex]\frac{rise}{run}[/tex].
In this situation, the “rise” (change in y axis) is -2 because it’s going down and the “run” (change in x axis) is 3. Therefore, it’s -2/3.
The formula to find slope is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
(I think, if I memorized it correctly)
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]
Answers
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Jeremiah's retirement party will cost $16 if he invites 4 guests. What is the maximum number of guests there can be if Jeremiah can afford to spend a total of $20 on his retirement party? Solve using unit rates.
Answers
Answer:
5 guests
Step-by-step explanation:
Jeremiah party will chat $16 if he invites 4 guest
The first step is to calculate how much it will cost to feed one guest
$4 = 16 guests
1 guest= 16/4
1 guest = $4
Therefore if Jeremiah can afford to spend $20 then the maximum number of people that will be present can be calculated as
$4 = 1 guest
$20= 20/4
= 5 guests
Hence the maximum number of guest is 5 guests