h(x) = 2x-6/x+3
Which statements are true or false about the graph of function h?
The graph crosses the y-axis at (0,3).
The graph crosses the x-axis at (-2,0)
The graph has a vertical asymptote at r = -3.
The graph has a hole at (3,0).
The graph has a horizontal asymptote at y = 2
The domain of the function does not include the values x= -3 and x= 3.
Answers
Answer:
The correct option is;
The graph has a vertical asymptote at x = -3
Step-by-step explanation:
Whereby the given function is [tex]h(x) = 2\cdot x - \dfrac{6}{x + 3}[/tex], we have;
The function is undefined at x = -3, therefore, the function has a verical asymptote at x = -3
The graph crosses the x-axis (the x-intercept) when the y coordinate, value h(x) = 0, therefore, we have;
[tex]2\cdot x - \dfrac{6}{x + 3} = 0 \ at \ the \ x-intercept[/tex]
Which gives;
[tex]2\cdot x = \dfrac{6}{x + 3}[/tex]
2·x² + 6·x - 6 = 0
Dividing by 2 gives;
x² + 3·x - 3 = 0
x = (-3 ± √(3² - 4×1×(-3)))/(2 × 1) = (-3 ± √21)/2
Similarly, the y-intercept occurs when h(0) = -2 as follows;
[tex]h(0) = 2\times 0 - \dfrac{6}{0 + 3} = -2[/tex]
Therefore, the graph crosses the y-axis, the y-intercept at (0, -2)
The correct option is, that the graph has a vertical asymptote at x = -3
Answer:image
Step-by-step explanation:
Related Questions
The probability of spinning an even number and flipping heads is..
Answers
Answer: 20% Chance
Step-by-step explanation:
Probability of flipping heads on a coin is 50% and this wheel landing on a even number is 40% you multiply .50 and .40 and you get .20.
Probability of spinning an even number and flipping heads P(A∩B) = (2 / 10).
What is probability?
" Probability is a mathematical expression which represents ratio of number of favourable outcomes to the total number of outcomes."
Formula used
Probability= (Number of favourable outcomes) / (Total number of outcomes)
For Independent Event
P(A∩B) = P(A)×P(B)
According to the question,
'A' represents the probability of spinning an even number
'B' represents the probability of flipping heads
Possible outcomes on spinner = { 1, 2, 3, 4, 5}
Favourable outcomes of spinning an even number = 2
Total number of outcomes = 5
Substitute the value in the formula we get,
P(A) = ( 2 / 5)
Possible outcomes of flipping a coin = { head , tail}
Total outcomes of flipping a coin =2
Favourable outcomes flipping heads = 1
P(B) = (1 / 2)
Probability of spinning an even number and flipping heads P(A∩B)
A and B are independent events
Substitute the value of P(A) and P(B) in the formula we get,
P(A∩B) = ( 2/ 5)×(1/2)
= 2 /10
Hence, probability of spinning an even number and flipping heads P(A∩B) = (2 / 10).
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-2(p - 1) = 15 helllp plss slol
Answers
Answer:
-13/2
Step-by-step explanation:
Answer:
P = -6.5
Step-by-step explanation:
Multiply -2 x p and -2 x -1
The equation now is -2p + 2 = 15
Subtract the 2 to both sides to cancel it out
The equation now is -2p = 13
Divided both sides by -2 to isolate the p variable
p = -6.5
You can check your answer by subtracting -6.5 by -1 (which equals -7.5)
And then multiply -7.5 by -2 which equals 15
suppose you are offered a job that pays a base salary of $300 plus 5% commission on sales per week. Explain how to determine your weekly pay.
Answers
Answer:
You determine your weekly pay by taking your sales for the week, times 5%, or .05, then adding in your salary of $300
Step-by-step explanation:
which of the following id the graph of y= -2•3^5-x
Answers
Answer:
Can you put the graph in
Step-by-step explanation:
Please help ;-; i dont have much time ;-;
Answers
Answer:
b,c,d
Step-by-step explanation:
GEOMETRY HW HELP! What is CD?
Answers
Answer:
C. 13
Step-by-step explanation:
4x+1 = 6x-5
-1 -1
4x= 6x-6
-6x -6x
-2x=-6
divide by -2
x=3
4(3)+1
12+1
13
Answer:
13
Step-by-step explanation:
6x-5=4x+1 (subtract 4x from both sides and then add 5 to both sides)
2x=6 (divide by 2)
x=3
Substitute 3 for x
6(3)-5 =18-5=13 or 4(3)+1=12+1=13
Look at rectangle PQRS below. If point S is reflected over the y-axis, what would be the coordinates of the reflection of point S?
Caprioles Image
(-1, 3)
(-4, 3)
(4, -3)
(4, -6)
Answers
Answer:
C
Step-by-step explanation:
Trust Me i did the test and got it correctomundo
At every company meeting, the president speaks for 28 minutes and then takes questions from her employees. Let q represent the number of minutes she spends answering questions and t represent the total number of minutes the meeting lasts.
Answers
Answer:
t = 20 + q in minutes
Step-by-step explanation:
Company meeting = president speech + questions + answers
President speech = 20 minutes
Questions and answers = q minutes
Total time spent = t minutes
Total time spent = President speech + Total time spent
t = 20 + q
The equation that represents the relationship between q and t is
t = 20 + q in minutes
A case of shampoo cost $150. the discount on a case of shampoo this week is 2/5. What will be the price after the discount?
Answers
Answer:
$90
Step-by-step explanation:
Price of the shampoo bottle; 150
Discount; 2/5
This means that one will pay for 3/5 of the original price of the shampoo bottle, (1 - 2/5 = 3/5).
Hence one will have to do 150 * (3/5)
150 * (3/5)
= 450/5
= 90
A single ice skating pass costs $2.75. A monthly pass costs $24.00. Peter estimates he will go skating 8 times this month and Justin estimates he will go 12 times. Should they both buy monthly passes? Explain.
Answers
Answer:
Yes they should.
Step-by-step explanation:
If they both buy it peter will only be spending 2 dollars more but justin will be spending $9 less
Mark Brainlies plsss
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.
Which expression shows the selling price after one monthly price reduction?
$5 + $5(1.50) – $5(0.25)
$5 + ($5)(0.25) – ($5)(1.50)
$5(2.50) – $5(0.25)
($5)(2.50) – ($5)(2.50)(0.25)
Answers
Answer:
D: ($5)(2.50) – ($5)(2.50)(0.25)
Step-by-step explanation:
I got it right on edg2020, now have a good morning/night luvs!
x+2y=4 how do i get y by its self .
step by step please .
Answers
Equation: x + 2y = 4
Step-by-step:
Move constant to left.
x + 2y - 4 = 4 - 4
The sum of opposites equal zero
x + 2y - 4 = 0
Explain: y cannot be by itself do to no alike variables
Answer: x + 2y - 4 = 0
Hope this helps!
help me with this please ill PayPal you money
Answers
Answer:
well ofc you can say the totally like area i think its called is 1428 you could multiply 6 to 14 the sum would be 84 you could divide 1428 by 84 and get 17 which is the value of x and if you divide 1428 by 6 on accident you would get 238 and you could check your work and see that 6 x 238 would be 1428 but that wouldnt be correct bc you only have 2 didgets and as you can your dealing with two and finding another one so that would be three didgets so ye
Step-by-step explanation:
your welcome : ))
Cah: cosine is adjacent over hypotenuse
Toa: Tangent is opposite over adjacent
X=arcsin(opposite/hypotenuse)
X=25.377 or X=25.4
Note: The arcsin function is the inverse of the sine function. It returns the angle whose sine is a given number. In other words you can use sin inverse or arcsin to find angles but if you have the angle then use sin and not sin inverse.
Look at the question below it’s when they give you the angle and not the side.. we simply divide no need for sin inverse in this case
Jenny is comparing the cost of two packages of socks. One package has 8 pairs of socks for $12. Another package has 3 pairs of socks for $6. Do the rates form a proportion?
Answers
Answer:
they form proportions, but the proportions are not the same
Step-by-step explanation:
the 8 for 12 deal = $1.50/pair
the 3 for 6 deal = $2/pair
what is the 8th term of the geometric sequence 8,16,32
Answers
the 8th term of the geometric sequence 8, 16, 32 is 1024
Explanationwe know that
geometric sequence 8, 16, 32
the question is
the 8th term
the answer is
first we have to find the ratio
[tex] \sf r= \frac{ U_2}{U_1} \\ \sf r= \frac{ 16}{8} \\ \sf r = 2 [/tex]
than, we have to find the 8th term
[tex] \sf U_n = ar^{n-1} \\ \sf U_8 = 8 \times 2^{8-1} \\ \sf U_8 = 8 \times 2^7 \\ \sf U_8 = 8 \times 128 \\ \bold {\sf U_8 = 1024} [/tex]
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Answer detailsgrade: 7th
subject: mathematics
chapter: sequence
keywords: geometric sequence
So how do i do like Rule: y=x+3 and the boxes are like X Y ? 4 ? 8 ? 5 like how
Answers
Answer:
X: 1 5 2
Y: 4 8 5
Step-by-step explanation:
Given
[tex]Rule: y = x + 3[/tex]
X: ? ? ?
Y: 4 8 5
Required
Fill in the ?'s
We have that:
[tex]y = x + 3[/tex]
When y = 4; the rule becomes
[tex]4 = x + 3[/tex]
Subtract 3 from both sides
[tex]1 =x[/tex]
[tex]x =1[/tex]
When y = 8; the rule becomes
[tex]8 = x + 3[/tex]
Subtract 3 from both sides
[tex]5= x[/tex]
[tex]x =5[/tex]
When y = 5; the rule becomes
[tex]5 = x + 3[/tex]
Subtract 3 from both sides
[tex]2 = x[/tex]
[tex]x = 2[/tex]
So, the complete table is:
X: 1 5 2
Y: 4 8 5
The radius of the Ferris wheel is shown. Which is the circumference of the Ferris
wheel, rounded to the nearest foot?
Answers
Answer:
C=250
Step-by-step explanation:
Plz help! Will give brainliest!
Answers
Answer:
D
Step-by-step explanation:
To divide the 2 fractions
• leave the first fraction
• change division to multiplication
• turn the second fraction upside down
[tex]\frac{11}{12}[/tex] × [tex]\frac{7}{5}[/tex]
= [tex]\frac{11(7)}{12(5)}[/tex]
= [tex]\frac{77}{60}[/tex]
= 1 [tex]\frac{17}{60}[/tex] → D
Consider the sequence whose first five terms are shown. -59 ,-67 ,-65 ,-53 ,-31 ,... The first term is ____ To calculate the second term, add _____ To calculate each additional term, increase the amount added by _____ (the _____ are blanks)
Answers
Step-by-step explanation:
The sequence is as follows :
-59 ,-67 ,-65 ,-53 ,-31 ,...
The first term = -59
The second term = -67
Common difference = second term - first term
[tex]=-67-(-59)\\\\=-8[/tex]
To calculate the second term add (-8).
To calculate each additional term, increase the amount added by -8.
There are 3 feet in one yard, and 36 inches in one yard. How many yards are in 612 inches?
There are type your answer...
yards in 612 inches.
Answers
Find the output y, when the input,x, is 6
Answers
Answer:
0
Step-by-step explanation:
When x is at 6 y is at 0
I need you to do all plssss
Answers
Answer:
9 = probably D(maybe A)
I'm not sure what the answer is for #9 but I think it is most likely D. A is multiply 6 by 4 which would be substituting the value of w, for w. D is adding 2 to 40 which is combining like terms.
10 = C, 65
40+p
40+25
65
Sketch the graph of 2y=f(3x-6) -2
Answers
Um i think 2yyyy =f 3x-6
The required graph is attached below, which represents the given function f(x)= 3x - 6y - 2.
The below graph of the function f(x) = 3x - 6y - 2 represents a straight line in a two-dimensional coordinate system.
The equation is in standard form, where x and y are variables and the equation is equal to a constant value (-2 in this case).
To graph this equation, we can rearrange it to the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
By isolating y in the equation, we get y = (3/6)x - 2/6, which simplifies to y = (1/2)x - 1/3.
The slope of the line is 1/2, meaning for every increase of 1 in the x-coordinate, the y-coordinate increases by 1/2.
The y-intercept is -1/3, which is where the line crosses the y-axis.
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The complete question is as follows:
Sketch the graph of the function f(x)= 3x - 6y - 2
PLEASE HELP ME ASAP!!!!!
Answers
Answer:
First off lets note that this is an iscocleles triangle since the 2 base angles are equal. Additionally, we know that the 2 sides adjacent to the base are equal in iscocleles triangles. Therefore, RP=RQ
With that in mind, lets solve:
If RP=RQ then we can make the equation [tex]5x-4 = x+4[/tex] by using substitution
Now, we can solve for x:
[tex]5x-4 = x+4[/tex]
[tex]5x-x-4=x-x+4[/tex]
[tex]4x-4 = 4[/tex]
[tex]4x-4+4 = 4+4[/tex]
[tex]4x = 8[/tex]
[tex]4x/4=8/4[/tex]
[tex]x=2[/tex]
Now that we know what x is equal to we can solve for PR
[tex]PR = 5(2)-4[/tex]
[tex]PR = 10-4[/tex]
[tex]PR = 6[/tex]
Hope this helped!
Step-by-step explanation:
PLEASE I NEED HELP ASAP, WILL GIVE BRAINLIEST
Which equation represents the polar form of x - y = 0?
Answers
Answer:0=0
Step-by-step explanation:
Answer: B
Step-by-step explanation:
What is the area of the rectangle ?
Answers
Answer:
the correct answer is B
PLZ HELP ASAP with this problem plz
Answers
Answer:
Answer Choice C
Step-by-step explanation:
Because it is dilated by a factor of 3
Answer this question and ill give out brainliest
Gimme a reason
Answers
Answer:
A rift valley is forming.
Step-by-step explanation:
Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.
I need help on this. PLEASE THIS IS TIMED
Answers
Answer:
A is the answer
Step-by-step explanation:
It is a function because there are no x values repeated
rate of change for my sister
Answers
Answer:
y - 6x = 18
Step-by-step explanation:
