Answer:
Vertical asymptote at x=2
D: (-∞,2] ∪ [2,∞)
R: (-∞,∞)
x-int: x=-5/3
y-int: 5/3
*use the website Desmos for an image of the graph; on an exam use an x/y table to sketch*
Edit: I didn't see that there was a chart at the bottom of the pic; Desmos can still give points, but your x & y intercepts are two points, regardless
Step-by-step explanation:
Asymptote: the denominator cannot equal zero
D: x cannot equal 2
R: all real numbers
x int: set y=0 and solve
y int: set x=0 and solve
Answer:
Step-by-step explanation:
D: ( - ∞ , - 2 ) ∪ ( - 2 , ∞ )
R: ( - ∞ , 3 ) ∪ ( 3 , ∞ )
Asymptotes: x = - 2 , y = 3
x - int. ( x , 0 ) :
\(\frac{-1}{x+2}\) + 3 = 0
\(\frac{-1}{x+2}\) = - 3
x + 2 = \(\frac{1}{3}\)
x = - 1 \(\frac{2}{3}\)
( - 1 \(\frac{2}{3}\) , 0 ) are coordinates of x - intercept.
y - int. ( 0 , y ) :
- 1 ÷ ( 0 + 2 ) + 3 = 2 \(\frac{1}{2}\)
( 0 , 2 \(\frac{1}{2}\) ) are coordinates of y - intercept.
A coin is under one of three cups. You have not beengiven any insight as to which cup the coin may beunder. What is the theoretical probability that youchoose the cup that is hiding the coin?
Under each cup there could be a coin, since there are 3 cups the probability that you choose the cup with the coin is 1/3.
The earnings for a cashier at the local grocery store caries directly with how many hours he works. If the cashier is paid $500 for a 40 hour work week, how many hours would it take him to make $600
Answer:
48
Step-by-step explanation:
Because it is proportional to hours worked and 600=500x1.2 then 40x1.2 is 48 hours worked
What is the answer please help me no
Links
Help pls!!!! Create a cost equation for each company
Answer:
Company A
y = 50x + 200
Company B
y = 40x + 300
f(x) = x² - 4 and g(x)= x^2 + 1 are sketched 10.1.2 Determine the length of DB .
x⁴ - 8x² + 17 is the function that represents the fog(x).
To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):
g(f(x)) = g(x² - 4)
Now, we can substitute the expression for g(x) into the above expression:
g(f(x)) = (x² - 4)² + 1
Expanding the squared term, we get:
g(f(x)) = x⁴ - 8x² + 17
Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ1
Complete question:
f(x) = x² - 4 and g(x)= x^2 + 1 find fog(x).
I need some help with 7 I was wondering if anyone could give me a step by step answer
To find the minimum value of the expression y=15(x-25)^2+130, we can set the derivative of the expression equal to 0 and solve for x. This will give us the value of x that corresponds to the minimum value of y.
The derivative of the expression is given by:
dy/dx = 30(x-25)
Setting this equal to 0, we get:
0 = 30(x-25)
Solving for x, we get:
x = 25
Substituting this value into the original expression for y, we get:
y = 15(25-25)^2+130 = 130
Therefore, the minimum value of y is 130, which is achieved when x=25.
I need help plzzzzzz
Answer:
3>-3 (a)
Step-by-step explanation:
3 is greater than -3
Answer:
The Answer is A
Step-by-step explanation:
Hope this helps
Help please I can’t do math
Suppose y varies inversely with x, and y = -1 when x = 3.
What inverse variation equation relates x and y ?
Answer:
let y = k .1/x
and given values of x and y
k is -3
so y = -3/x
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave an explanation)
Answer:
P(h, k) → P'(k, -h)
Step-by-step explanation:
Rule to be followed,
If a point P(h, k) is rotated 90° clockwise about the origin, coordinates of the image point P' will be,
P(h, k) → P'(k, -h)
Similarly, all vertices of the parallelogram PQRS will follow the same rule when rotated 90° about the origin to form P'Q'R'S'.
From the top of the 140-foot high tower, an air traffic controller observes an airplane on the runway at an angle of depression of 18°.
18°
140 ft
How far is it from the base of the tower to the airplane? Round your answer to the nearest tenth of a foot.
Answer:
Step-by-step explanation:
The angle of depression is the downward angle the air traffic controller
looks down from in the tower. It also equals the angle of elevation which is the angle formed by the runway and the line of sight.
With this information you can find the remaining angle:
180 - (90 + 18)
180 - 108 = 72
Let Angle B = 72°
Angle A = 18°
Angle C =90°
We have one side - 140 feet - this is side a - it is across from angle A.
There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)
Using the law of sines:
sin A/a = sinB/b
sin 18°/a = sin72°/b
.3090/140 = .9510/x
cross multiply and then divide
140 × .9510/.3090
133.14/.3090
430.873 ft
round to a tenth = 430.9 ft
Solve 2/3c - 1 = 1+2/3c
No solution
Infinite Solution
c = 6/4
c = 2/3
The variable 'c' in the given expression has No Solution.
Given, that
2/3c - 1 = 1 + 2/3c
Now, as we have same coefficient of the variable c i.e. 2/3
So, On subtracting 2/3c from both the sides, we get
2/3c - 2/3c - 1 = 1 +2/3c - 2/3c
-1 ≠ 1
Hence, we got no solutions that can satisfy the given expression.
So, the variable 'c' in the given expression has No Solution.
Learn more about Linear Equations here https://brainly.com/question/25858757
#SPJ1
h(x)=-5x+3 , find h(5)
Answer:
-22
Step-by-step explanation:
h(5)=-5•5+3
h(5)=-25+3
h(5)=-22
Answer:
-22
Step-by-step explanation:
Replace x with 5 and multiply tge -5 by 5 wich equals -25 and add 3 which would make -22
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
An urn contains 48 marbles consisting of 11 red marbles, 33 blue marbles, and 4 yellow marbles. What is the probability of randomly selecting a blue marble from the urn
kira,boris,deshuan have a total of $119 in their wallets. Boris has 3 times waht deshuan has. Deshuan has $6 more than kira. How much do they have in their wallets.
Kira has $19, Boris has $75, and Deshuan has $25.
How much money does each person have in their wallets?We will denote as follows:
Kira has as K, Boris has as B, and Deshuan has as D.From information, we can set up equations:
B = 3D (Boris has 3 times what Deshuan has)
D = K + 6 (Deshuan has $6 more than Kira)
K + B + D = 119 (The total amount of money they have is $119)
Substituting equation 2 into equation 1, we have:
B = 3(K + 6)
Substituting equations 1 and 2 into equation 3:
K + 3(K + 6) + (K + 6) = 119
K + 3K + 18 + K + 6 = 119
5K + 24 = 119
5K = 119 - 24
5K = 95
K = 95 / 5
K = 19
Using equation 2, we can find D:
D = K + 6
D = 19 + 6
D = 25
Using equation 1, we can find B:
B = 3D
B = 3 * 25
B = 75.
Read more about equation
brainly.com/question/22688504
#SPJ1
a. Draw a pie chart to illustrate the datab. If the employee's gross monthly salary was N10,800, calculate the pension contribution to the employeec. Calculate the income tax paid by the employee2.State all the conditions of a congruent triangle3.AABC is right-angled at A and /AB/= 2/AC/. Prove that /BC/² = 5 /AC/²4. Indicate that they are congruentC Y5.6.B140ZWith the aid of a diagram each, differentiate between the properties of a parallelogram and a rhombuwith at least three properties eachFind cX
SOLUTION
(6) We want to find c in the diagram below
The triangle is a isosceles triangle since two sides are equal. So their base angles are equal. I have labelled their base angles as x
one of the x's makes a straight angle with 140. Angles on a straight-line is 180 degree so
\(\begin{gathered} x+140\degree=180\degree \\ x=180-140 \\ x=40\degree \end{gathered}\)sum of angles in a triangle makes 180 degree, so
\(\begin{gathered} x+x+c=180\degree \\ 40+40+c=180 \\ 80+c=180 \\ c=180-80 \\ c=100\degree \end{gathered}\)Hence the answer is 100 degrees
What are the solutions to the equation 0=|3x+3|+3
Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.
To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.
First, let's isolate the absolute value term on one side of the equation:
|3x + 3| = -3
Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.
To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:
3x + 3 = -3
-(3x + 3) = -3
Solving equation 1:
3x + 3 = -3
3x = -6
x = -2
Solving equation 2:
-(3x + 3) = -3
-3x - 3 = -3
-3x = 0
x = 0
For such more question on equation
https://brainly.com/question/29174899
#SPJ8
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results: Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What is the estimate of the standard deviation of the sampling distribution for an instructor's sample proportion of failures?
Answer:
0.03
Step-by-step explanation:
Given the following :
Instructor __no of failure __prop (failure /100)
A ________ 13__________0.13
B ________0___________0
C________11___________0.11
D________16__________0.16
Prof. B adds no proportion to the data and hence excluded in the estimation.
Mean(m) = 0.13 + 0.11 + 0.16) / 3
= 0.4 / 3
= 0.1333
Standard deviation :
Σ(X - m)² / N - 1
Σ(0.13 - 0.1333)² + (0.11 × 0.1333)² + ( 0.16 - 0.1333)² = 0.0012668689
= 0.0012668689 / 2
= 0.00063343445
√0.00063343445
= 0.0251681
= 0.03 To 2 decimal places
A credit card offer comes in the mail with the bold print "0% A.P.R. for New Accounts." Which important piece of information should you find before thinking about signing up?
"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.
An introductory APR seems to be a special rate of interest offered by credit card providers to prospective clients for something like a predetermined period of months following opening a bank account.Numerous credit cards provide promotional APRs upon expenditures buying products, debt transfers, or sometimes both. Such rate was considerably cheaper than the estimated APR, typically as minimal as 0%.
Thus the response above is right.
Learn more about credit cards here:
https://brainly.com/question/14829559
Smallest successive composites with gap
17, 73, 2, 19
Answer:
Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:
1. $341 = 11 \times 31$
2. $458 = 2 \times 299$
3. $460 = 2^2 \times 5 \times 23$
4. $479 = 13 \times 37$
Help with this question
Answer:
Rita earned $90,510
Step-by-step explanation:
If you multiply each sale price by 0.03 (what 3% is in decimal form), you'd get the amount Rita made for each house. Add all these up, and you get $90,510, the total amount she made in one year.
3. A city is selling tickets for Family
Night at the ballpark. Tickets cost $5
each. On Monday, 517 tickets were
sold. On Tuesday, 413 tickets were
sold. How much money has been
collected for the tickets?
Answer:
$4650
Step-by-step explanation:
.....................
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 21
Step-by-step explanation:
Using ratios:
75 : 25 = x : 7
75/25 = x/7
3 = x/7
21 = x
Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:
\(72^2+x^2=75^2\)
\(\implies x^2=75^2-72^2\)
\(\implies x=\sqrt{75^2-72^2}\)
\(\implies x=21\)
15. Harold learned that 6 out of 10 students at his school live within two miles of the school. If 240 students attend Grade 6 at his school, about how many of these students should Harold expect to live within two miles of the school? A 24 ® 40 © 144, 180
Answer:
144
Step-by-step explanation:
Write a equation(or whatever it is called)
6/10=x/240Cross multiply, 1440=10xDivide, 144=xCheck your work:
6/10=144/240Cross multiply, 1440=1440In circle T with mZSTU = 114°, find the angle measure of minor arc SU
Answer:
minor arc SU = 1/2(114°) = 57°
Help me plz. 10 Points if you do. Plz help As soon as possible
Answer:
4,500,000 cm
Step-by-step explanation:
1:500,000 means that for every 1 cm on the map there are 500,000 cm in actual distance.
There are 9cm on the map so we have to times this by 500,000.
500,000 x 9 = 4,500,000
Hope this helps.
Latoya has a bookcaes with k shelves. There are 14 books on each shelf. Using k, write an expression for the total number of books
Answer:
Step-by-step explanation:
Pamela has 15 different books. In how many ways can she place her books on two selves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next to the other, with the first book on each shelf at the left of the shelf.)
Initially, I thought that this would be fairly straight forward. There are two cases where either shelf could be empty and so we would subtract 2 from the total number of permutations which is obviously 15!. It is obvious now that both of these statements are false.
My previous thoughts didn't take into account the fact that there are two shelves and that the books could be stacked in such a way that 5 are on the top shelf and 10 are on the bottom, or 8 on top with 7 on bottom, or any number of other ways. I believe there are 214 ways the books can be distributed amongst the two shelves (keep in mind that each shelf has to have at least one book, 15−1=14) if the ordering of the books didn't matter, but it does. Is this correct?
The function f(x) is shown on the graph.
What is f(0)?
0 only
-6 only
–2, –1, 1, and 3 only
–6, -2,-1, 1 and 3 only
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
The correct answer is D.
The function f(x) has some specific characteristics as shown in the graph.
The graph of f(x) has five intercepts, as can be seen from the graph.
The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.
The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.
At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.
The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.
Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).
This can be deduced from the symmetry of the graph about the origin.
Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.
At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.
For such more questions on intercepts
https://brainly.com/question/24212383
#SPJ8
5/12x6/15=30/180
How do I simplify?
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
A circle has a radius of 12 mm.How long is it's diameter?
Answer:
6mm
Step-by-step explanation:
radius = 1/2 of diameter