1.
[tex]f(x)=\dfrac1{x-1}=\dfrac1{x-1}+0[/tex]
x-1 = 0 for x = 1
so:
Vertical asymptote: x = 1
Domain: Dom f = R\{1} {or: Dom f = (-∞, 1)∪(1, ∞)}
Horizontal asymptote: y = 0
Range: Ran f=R\{0} {or: Ran f = (-∞, 0)∪(0, ∞)}
2.
[tex]f(x)=\dfrac{-1}{x}+4=\dfrac{-1}{x-0}+4[/tex]
x-0 = 0 for x = 0
so:
Vertical asymptote: x = 0
Domain: Dom f = R\{0} {or: Dom f = (-∞, 0)∪(0, ∞)}
Horizontal asymptote: y = 4
Range: Ran f=R\{4} {or: Ran f = (-∞, 4)∪(4, ∞)}
3.
[tex]f(x)=\dfrac{1}{x+3}-3[/tex]
x+3 = 0 for x = -3
so:
Vertical asymptote: x = -3
Domain: Dom f = R\{-3} {or: Dom f = (-∞, -3)∪(-3, ∞)}
Horizontal asymptote: y = -3
Range: Ran f=R\{-3} {or: Ran f = (-∞, -3)∪(-3, ∞)}
4.
[tex]f(x)=\dfrac{-1}{x+5}-6[/tex]
x+5 = 0 for x = -5
so:
Vertical asymptote: x = -5
Domain: Dom f = R\{-5} {or: Dom f = (-∞, -5)∪(-5, ∞)}
Horizontal asymptote: y = -6
Range: Ran f=R\{-6} {or: Ran f = (-∞, -6)∪(-6, ∞)}
4.
[tex]f(x)=\dfrac{-1}{x+1}+3[/tex]
x+1 = 0 for x = -1
so:
Vertical asymptote: x = -1
Domain: Dom f = R\{-1} {or: Dom f = (-∞, -1)∪(-1, ∞)}
Horizontal asymptote: y = -6
Range: Ran f=R\{3} {or: Ran f = (-∞, 3)∪(3, ∞)}
5.
[tex]f(x)=\dfrac{1}{x+4}-2[/tex]
x+4 = 0 for x = -4
so:
Vertical asymptote: x = -4
Domain: Dom f = R\{-4} {or: Dom f = (-∞, -4)∪(-4, ∞)}
Horizontal asymptote: y = -2
Range: Ran f=R\{-2} {or: Ran f = (-∞, -2)∪(-2, ∞)}
From my last post here’s the paragraph
find the values of z and y pls :)
Matt weighed 60 pounds when he was 8. He now weighs 80 pounds. Find the percent of increase in weight rounded to the nearest tenth. A. 20% B.25% C.30% D.33.3%
Answer:
D.33.3%
Step-by-step explanation:
A)60×.20=12
B)60×.25=15
C)60×.3=18
D)33.3% of 60 is 19.8. 60+19.8=79.8
if you round it up,it'll equal to 80
7x + 5 = 3(2x + 3) + x - 4
Answer:
Infinite Many Solutions
0 = 0
Step-by-step explanation:
7x + 5 = 3(2x + 3) + x - 4 (Given)
7x + 5 = 6x + 9 + x - 4 (Distributive Property Of Equality)
7x + 5 = 7x + 5 (Combine Like Terms)
0 = 0 (Subtraction Property Of Equality)
As you see it's the same thing in both sides and if you solve it gives 0 = 0 because it would cancel each other out and since 0 is equal to 0 it's infinite many solutions.
A salesperson at a jeweraly store that earns 7% commission each week last week Jared sold $680 worth of jewelry how much did he make in commission how much did the jewelry store make from his sales
Given :
A salesperson at a jewelry store that earns 7% commission each week last week Jared sold $680 worth of jewelry.
To Find :
How much did he make in commission.
Solution :
Let, commission he make is C.
So, C is 7% of $680 .
[tex]C = \dfrac{680\times 7}{100}\\\\C = \$ 47.6[/tex]
Therefore, salesperson will make $47.6 commission.
Ryan made $119 for 7 hours of work.
At the same rate, how many hours would he have to work to make $306?
Answer:
128
Step-by-step explanation:
Answer:
18 hours
Step-by-step explanation:
7/119=x/306
Cross Multiply
119x=2142
x=18
Plsss help me plsss I need help
2. 37,345
3. 7,398
4. 3,500
5. 350
Hope this helps! :D May i have brainliest?
Find the slope. Please someone answer this I need it I’ve been posting it but no one says anything.
Answer:
y=1x
y=0.3x
y=4x
Step-by-step explanation:
Parson City Middle School has 1,340 students. About 38% of the students are in the seventh grade. About how many seventh-graders attend Parson City Middle School?
Answer: About 509 seventh-graders attend Parson City Middle School.
Step-by-step explanation:
Total students in the school = 1,340
About 38% of the students are in the seventh grade.
Number of students in the seventh grade = 38% of (Total students in the school)
= 0.38 x (1340) [38%= 0.38]
= 509.2 ≈ 509
Hence, About 509 seventh-graders attend Parson City Middle School.
Part C: What is the value of z?
At a store closing, a universal discount rate
is applied to all items. The table shows the
price for three items.
O
A. $19.50
Total Price
O
B. $1.95
Discount
Original
Price
Price
(including
sales tax)
OC. $34.45
$22.50
$13.50
$14.31
O
D. $20.67
$16.20
$27.00
$32.50
у
Z
Answer:
Step-by-step explanation: I think it's D
Can someone help me with this
Help due asap .......
Answer:
C
Step-by-step explanation:
I'm only 90% sure. I did it by canceling out the ones that don't make sense.
QC can't be the same as FQ, so A and D are cut out.
QC is longer than FQ, so option B doesn't make sense.
Which of these is a unit of density?
km/m
kg/m?
kg/m
kg/m
Answer: Kg/m³
Step-by-step explanation: Mass/ Volume
is 2x+12 less than and equal to 14
Answer:
less than
Step-by-step explanation:
you cant add 2x to 12 because of the x.
Answer:
no, more then i think
Step-by-step explanation:
even we don't know what x is x is coud make the number bigger so 14x is bigger then 14
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
The scale of a model train is 1 1 inch to 13.5 13.5 feet. One of the cars of the model train is 5 5 inches long. What is the length, in feet, of the actual train car?
Answer:
74.25feet
Step-by-step explanation:
Given the scale of a model train expressed as;
1in = 13.5feet
We are to express length of 5.5in in feet
5.5in = x
Divide both expressions
1/5.5 = 13.5/x
Cross multiply
1×x = 5.5× 13.5
x = 74.25feet
Hence the actual length of the car in feet is 74.25feet
In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park?
Answer:
150 kids
Step-by-step explanation:
If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.
ONE HUNDRED POINTS
Complete the proof.
Below is a drag and drop geometric proof. Complete the proof in your notebook.
Choose from these possible answers:
Answer:
See the attached
Step-by-step explanation:
Solution provided on the picture attached
The missing statement also added
I need help pls help
Answer:
i do not know sorry :(
Step-by-step explanation:
please make x the subject for these questions
a(x-4)=b
c(7+x)=7
x/y-2 = v
v/9x = w/y
vx + w = 5
2w + vx = y
thanks
Answer:
x=b+4a/a
x=7-7c/c
x=y(v+2)
Answer:
That's the answer to everything
pakisaguatn pls help me asappppppppppp
nahihirapan po ako dito
plsssss
Answer:
Step-by-step explanation:
conversion factors:
m:cm= 1:100
dm:km= 1,000,000:1
m:mm= 1:1000
hg:dg= 1:1000
g:cg= 1:100
kg:g=1000
so we plug in:
5m=500 cm
5246dm=0.5246km
5.246m=5246mm
3.7hg=3700dg
0.37g=37cg
370kg:370000
so the word is SPEAKUP
Correctly name the following angle.
Answer: ∠EDC or ∠CDE
Step-by-step explanation:
Please help ASAP!!!!!!!!!!!!
write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3
Answer:
y - 4 = -3(x + 1)
Step-by-step explanation:
Let's use the point-slope formula y - k = m(x - h):
y - 4 = -3(x + 1)
The area of a rectangle is given by the expression (x+3)(4x−2). Which of the following is an equivalent expression for the area?
4x2+14x+6
4x2+10x−6
13x−2
14x−6
Answer:
answer is option b
plz mark as brainliest
Can someone help me?
Answer:
Its the third one
Step-by-step explanation:
i need help on this please help
Answer:
v= 5/3
Step-by-step explanation:
Line the numbers
Example:
Brigette is putting a border around a scrapbook cover.
The cover is 12 inches tall and 14.5 inches wide. How
much border does Brigette need?
Answer:
Step-by-step explanation:
Brigitte is putting a border, so she needs a perimeter
P=2(L+W)=2L+2W= 2*12+2*14.5=24+29=53
Felix spent $12 on a movie ticket and x amount of money on snacks. He spent no more than a total of $22 dollars. Which inequality could be used to find the amount of money Felix could have spent on snacks?
Someone pls pls answer this ill mark u brainliest
Answer:
[tex]m\angle CBD=35^{\circ}[/tex]
Step-by-step explanation:
Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].
[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].
Therefore, we can plug in our values and solve:
[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].