Answer:
-48-22i
Step-by-step explanation:
3(x + 1) = −2(x − 1) − 4
What are the vertical asymptotes of 10/X-1
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)
f
(
x
)
=
10
x
2
−
1
Find where the expression
10
x
2
−
1
is undefined.
x
=
−
1
,
x
=
1
Since
10
x
2
−
1
→
∞
as
x
→
−
1
from the left and
10
x
2
−
1
→
−
∞
as
x
→
−
1
from the right, then
x
=
−
1
is a vertical asymptote.
x
=
−
1
Since
10
x
2
−
1
→
−
∞
as
x
→
1
from the left and
10
x
2
−
1
→
∞
as
x
→
1
from the right, then
x
=
1
is a vertical asymptote.
x
=
1
List all of the vertical asymptotes:
x
=
−
1
,
1
Consider the rational function
R
(
x
)
=
a
x
n
b
x
m
where
n
is the degree of the numerator and
m
is the degree of the denominator.
1. If
n
<
m
, then the x-axis,
y
=
0
, is the horizontal asymptote.
2. If
n
=
m
, then the horizontal asymptote is the line
y
=
a
b
.
3. If
n
>
m
, then there is no horizontal asymptote (there is an oblique asymptote).
Find
n
and
m
.
n
=
0
m
=
2
Since
n
<
m
, the x-axis,
y
=
0
, is the horizontal asymptote.
y
=
0
There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.
No Oblique Asymptotes
This is the set of all asymptotes.
Vertical Asymptotes:
x
=
−
1
,
1
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
image of graph
The vertical asymptotes of the given function are x = 1 and x = -1,
We have given the rational function is 10/(x²-1).
We need to find the vertical asymptotes of this function.
Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.
To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.
x²-1=0
x²=1
x=±√1
x=±1
Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.
To learn more about vertical asymptotes visit:
brainly.com/question/4084552
#SPJ2
Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn
A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%
Answer:
C. about 15.4%
Step-by-step explanation:
There are 52 cards in a deck
There are 4 kings and 4 aces
so, 8/52 is the chance of getting either of those two.
8/52 is about 0.1538 or 15.38%
15.38% rounded would be 15.4%
Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?
Answer:
5 letters
Step-by-step explanation:
Let x = the number of letters engraved.
For the first store, the cost can be written as (18.50 + 0.15x).
For the second store, the cost can be written as (18 + 0.25x).
For the cost and value of x to be the same, let them equal eachother and evaluate x:
18.5 + 0.15x = 18 + 0.25
0.1x = 0.5
∴x=5
What is the slope of this line?
Answer:
[tex]m=\frac{2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -1)
Point (4, 3)
Step 2: Find slope m
Substitute: [tex]m=\frac{3+1}{4+2}[/tex]Add: [tex]m=\frac{4}{6}[/tex]Simplify: [tex]m=\frac{2}{3}[/tex]Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)
Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the
cost of the necklace before tax?
Answer:
8.5
Step-by-step explanation:
If the shared hypotenuse between the two right triangles is 1.3 centimeters longer than the longest leg length, what is the length of the hypotenuse if the longest leg length is 5.5 centimeters?
Answer:
6.8
Step-by-step explanation:
This sounds super complicated, but all it is asking is 1.3 + 5.5, which equals 6.8.
Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of paint are needed for 1 door.?
Answer:
[tex]1 \dfrac{1}{4} \ liters[/tex]
Step-by-step explanation:
Given that:
Claire uses 2 liters of paint to cover 1 3/5 doors
Then in order for her to paint 1 door, She will need:
2 L = 1 3/5 door
x L = 1 door
[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]
[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]
[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]
[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]
[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]
[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]
{Please Don't Troll What value of x is in the solution set of -3x+8≥14 {Answer Choices -3,-1,0,3}
Answer:
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3
Step-by-step explanation:
-3x+8 is greater than or equal to 14
-8 -8
-3x is greater than or equal to 6
-3x/-3 6/-3
*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER
x is less than or equal to -2
This means anything equal to or less than -2 is the solution to the ORIGINAL equation
Based on the solution set the answer is -3
Hope this helps!
please tell me the answer
What is the image of (7,8) after a reflection over the line y = –x
Answer:
(-7. -8) Just flip the signs.
Answer:
[tex]\boxed {\boxed {\sf (-8,-7)}}[/tex]
Step-by-step explanation:
When a point is reflected over y=-x, the following change occurs:
[tex](x,y)[/tex] ⇒ [tex](-y, -x)[/tex]
We are given the point (7,8).
Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.
1. Change the signs
[tex](7,8)[/tex] ⇒ [tex](-7,-8)[/tex]
2. Flip the x and y coordinates
[tex](-7,-8)[/tex] ⇒ [tex](-8,-7)[/tex]
So the image of (7,8) after a reflection over y=-x is (-8,-7)
PLS ANSWER
An employee's time at work increased from 32 hours per week to 40 hours per week. By what percentage did the
time at work per week increase?
Answer:
You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write
(40)/(32)=(x)/(100)
And this means that x = 125
So the ratio of the increase of the new time is 125%
But the real increase is 125 - 100 = 25%
Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid
Answer:c
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
225 divided by 25 is 9.
Please answer this correctly, and you'll recieve brainliest, Answers below:
28=14=0.25
63=21=2
82=41=4
36=12=0.5
I believe the scale factor would be 4, seeing as the length of triangle a's bottom side is 2, and triangle b's bottom side is 8.
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
9514 1404 393
Answer:
7/3
Step-by-step explanation:
The point at the right end of segment 5 is 7 units above and 3 units to the right of the point at the left end. The slope is the "rise" divided by the "run":
slope = m = rise/run = 7/3
The slope of segment 5 is 7/3.
While hiking, Diego drank 2¼ liters of water. Lin drank 1⅗ liters of water. How much more did Diego drink than Lin?
Answer: 13/20
Step-by-step explanation:2 1/4 - 1 3/5 = 13/20
Answer:
13/20
Step-by-step explanation:
what is the weight of a square if a triangle weighs 4 grams? explain your reasoning
Answer:5
Step-by-step explanation:
yh thereu go
Answer:
8 grams
Step-by-step explanation:
u add 2 triangles
A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.
Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce
What is the average error in the scale displays?
–4 ounces
–1 ounces
0 ounces
1 ounce
Answer:
-1
Step-by-step explanation:
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made
A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L
Answer:
C
Step-by-step explanation:
can someone please please help me? with a reasoning? :(
Answer:
a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )
Step-by-step explanation:
a)
3x + y = -5
y = -3x -5
b)
y = 1/3 ( 21 - 9x)
y = -3x + 7
y = 3x + 2.5
the slop is to be same in the parallel lines. slop means m in ( y = mx + c )
so a) & b) are parallel lines. since their m is -3 .
1 point
The cost for 8 tickets if $84. At this
rate, 15 tickets will cost a total of
O $105.50
O $150.00
O $150.50
O $157.00
$157.50
need help plzz
20 points
Answer:
42 cm
Step-by-step explanation:
Area of rectangle (shaded area):
length × breadth
length: 7 cm
breadth: 7 - 2(0.5) = 6 cm
7 × 6 = 42 cm
Answer:
42 cm is the correct answer of this one
y-3= 5(x - 2)
NEED HELP
Answer:
Y = 5x -7
Step-by-step explanation:
That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.
Answer:
y = 5x - 7
Step-by-step explanation:
y-3= 5(x-2)
y-3 = 5x - 10
y=5x -7
This is the answer if you have anymore questions please ask
(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smallest absolute value. Then find the decimal equivalent. EX|3.1 X 104- 6.5 X 102| =|31000-650|=|30, 350| is this the largest or smallest? Once you find the largest, start again with new digits and find the smallest. _x10^blank - _ x 10^_
Answer:
8x(10)^9 - 2 x (10)^1
1x(10)^3 - 9 x (10)^2
Step-by-step explanation:
3.1 X (10)^4- 6.5 X (10)^2
= 31000- 650
= 30,350
For greater number
_x10^blank - _ x 10^_
8x(10)^9 - 2 x (10)^1 ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)
= 8,000,000,000 -20
= 7,999,999,980
For smaller number
_x10^blank - _ x 10^_
1x(10)^3 - 9 x (10)^2 ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next smaller for the smallest difference)
= 1000- 900
= 100
We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15
Answer:
The correct answers are: 1 and -15
Step-by-step explanation:
Let a be a point on number line and b be the second point on number line.
The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.
Here
AB = 8
B = -7
We have to look at the options one by one.
For A = -1
As A>B
[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]
For A = 1
As A>B so
[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]
So with A = 1 , AB = 8
This is one of the right answers.
For A=15
As A>B
[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]
For A=-15
As B>A
[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]
As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.
Hence,
The correct answers are: 1 and -15
ax + bx = 0
Solve equation for x
Answer:
you cant have two variables
Step-by-step explanation:
Please help meh im so bad at this stuff lol
Answer:
40 Baskets
Step-by-step explanation:
4 baskets = 1/2 hour
? baskets = 5 hours
This means, 8 baskets = 1 hour
8 x 5 = 40
Therefore,
40 baskets = 5 hours
Answer:
40/1 baskets
Step-by-step explanation:
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
w= -12
Step-by-step explanation:
okay I understood it now. Here you go.
You’re welcome :)
Answer:
w= -12
Step-by-step explanation:
x both sides by 24
4w + 15 + -33
move the constant to the right and change its sign
4w= -33 -15
calculate the difference ...
4w = -48
divide both sides by 4
w= -12