Answer:
x = 1
Step-by-step explanation:
To find the vertical asymptote(s) we set the denominator to 0, but first we have to factor and simplify the function
[tex]f(x)=\frac{(x+1)(x-7)(x+10)}{(x-1)(x-7)(x+10)}[/tex]
step 1 the function is already factored so we just have to simplify it by canceling like terms
[tex]f(x)=\frac{x+1}{x-1}[/tex]
step 2 set denominator to 0 and solve for x
x - 1 = 0
step 3 add 1 to both sides
x = 1
Answer: x = 1
By "doing the math" from the function given:
Given:
[tex]f (x) =\displaystyle \frac{(x+1)(x-7)(x-10)}{(x-1)(x-7)(x-10)}[/tex]
Terms in both the numerator and denominator are equal to 1:
[tex]f (x) =\displaystyle \frac{(x+1)}{(x-1)}[/tex]
We cannot have a denominator equal to 0, because you cannot divide by 0, so the vertical asymptote is x = 1 since 1 - 1 = 0. This can also be found by setting the denominator equal to 0 and solving for x.
By graphing:
A vertical asymptote, put simply, is a vertical line "within" the domain, but not a part of the graph. I will graph the equation given and see what we come up with.
-> See attached
Either way, the answer to your problem is:
x = 1
Evaluate the following expression. Round your answer to two decimal places.
logz 11
2.18?
2.40?
0.46?
0.84?
The correct answer would be- A: 2.18
Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p
−
3
)
Answer:
The answer is 20p – 10 or 10(2p – 1)
Step-by-step explanation:
4(2p + 2) + 6(2p − 3)
8p + 8 + 12p – 18
20p – 10 or 10(2p – 1)
The base of a triangular door wedge has an area of 55 square centimeters. The height of the wedge is 5 centimeters. Find the volume of the door wedge.
Answer:
the answer ios yes
Step-by-step explanation:
55-243 equals the sum of 11
express the following rational algebraic expression to its simple form.show your solution
5. ײ+5×-14/ײ-4
Answer
[tex] \frac{ \times -+7}{×+2} [/tex]
Given f(x)= 2x^3+kx-1, and x+1 is a factor of f(x), then what is the value of k?
Answer:
put x=-1, and the rest will be easy
If x + 1 divides f(x), this means x = -1 is a root of f(x), i.e. f(-1) = 0. Plugging in x = -1 gives
f(-1) = 2 (-1)³ + k (-1) - 1 = -3 - k = 0
Solve for k; you end up with k = -3.
Question is in the picture below, please help.
Answer:
A)6 cm B)32 inch
Step-by-step explanation:
A)1 cm:8 inch
(1×6)cm:(8×6)inch
Thus, if the height is 48 inch, the scale in cm is 6 cm
B)Normal linear form
The length=4cm
(1×4) cm:(8×4) inch
Thus, if the scale length is 4 cm, the real painting length will be 32 inch
PLEASE SOMEONE HELP!!
For PQR, which one is equal to sin(P)?
Answer:
The third option.
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
Step-by-step explanation:
SIN is opposite over hypotenuse.
COS is adjacent over hypotenuse
Therefore
[tex]sin(P)=\frac{RQ}{PQ}[/tex]
Then we have 4 options.
It is not the first option beacause we can't determine which side is adjacent to the angle.
The second option
[tex]sin(Q)=\frac{RP}{QP}[/tex]
The third option
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
It is not the fourth option beacause we can't determine which side is opposite to the angle.
Finally we see that
[tex]cos(Q)=\frac{RQ}{PQ}[/tex]
and
[tex]sin(P)=\frac{RQ}{PQ}[/tex]
are equivalent.
Select the correct answer.
Sophia has unsharpened pencils that are 20 centimeters long. What is the approximate surface area of a pencil?
The surface area of the pencil is the amount of space it covers
The surface area of the pencil is 61 square centimeters
How to determine the surface area?The given parameters are:
H = 20 cm
L = 0.5 cm
The surface area (SA) is then calculated as:
SA = 6LH + 3[tex]\sqrt 3[/tex]L^2
This gives
SA = 6 * 0.5 * 20 + 3[tex]\sqrt 3[/tex] * 0.5^2
Evaluate the sum
SA = 61
Hence, the surface area of the pencil is 61 square centimeters
Read more about surface area at:
https://brainly.com/question/6613758
how to copy and paste
Answer:
control + C then Control + V
Step-by-step explanation:
Answer:
If you have a PC, press Windows, Print Screen.
Step-by-step explanation:
Hope this helps..
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere. find the radius of the sphere
Answer:
Radius of sphere is 21 cmStep-by-step explanation:
Given:
A sollid piece of iron in the form of a cuboid of dimensions 49cm × 33 cm× 24 cm , is moulded to form a solid sphere.To Find:
Radius of the sphereSolution:
Volume of sphere = Volume of cubiod
↠ 4/3 πr³ = LBH
↠ 4/3 × 22/7 × r³ = 49 × 33 × 24
↠ 4/3 × 22/7 × r³ = 38808
↠ 4 × 22/7 × r³ = 38808/3
↠ r³ = 38808 × 3 × 7/4 × 22
↠ r³ = 441 × 21
↠ r³ = 9261
↠ r = 21 cm
Hence,
Radius of sphere is 21 cmAnswer:
21.00 cm to the nearest hundredth.
Step-by-step explanation:
The volume of the sphere will be equal to the volume of the cuboid.
So 4/3 π r^3 = 49*33*24 where r = radius of the sphere.
r^3 = (49*33*24 ) / 4/3 π
r^3 = 38808 / 4.18879
= 9264.728
r = ∛9264.728
= 21.0028 cm.
Solve for w.
W/4 = 4 What does W equal?
Answer:
16
Step-by-step explanation:
sooo all you have to do is make W alone. to do that you multiply 4 to both sides of the equation
W = 4(4)
w = 16
Which of the following lines is perpendicular to the line with this equation ?
y =4/5X – 12
a. y= -4/5x +9
b. y=5/4x +4
c. y= -5/4x -15
d.y= 4/5x -5
Answer:
soln,
a
y=5/4×-15
Answer:
C: y = -5/4x - 15
Step-by-step explanation:
A perpendicular line is always the negative reciprocal of the slope. In this case, the slope is 4/5. Therefore, the negative reciprocal is -5/4. Only look at the numbers connected to X for the slope, do not look at the constant.
Find the number that makes the ratio equivalent to 36:81.
4:
Answer:
9
Step-by-step explanation:
9*4 = 36
9*9 = 81
divide both by 9 and you get 4:9
To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as one of the steps to reaching the solution.
Answer:
x = -1
x = 3
Step-by-step explanation:
[tex]\sf x^2 - 2x = 3[/tex]
Add 1 to both sides:
[tex]\sf \implies x^2 - 2x+1 = 3+1[/tex]
Factor the left side:
[tex]\sf \implies (x-1)^2 = 4[/tex]
Square root both sides:
[tex]\sf \implies x-1 = \pm2[/tex]
Therefore:
[tex]\sf \implies x-1=-2 \implies x=-1[/tex]
[tex]\sf \implies x-1=2 \implies x=3[/tex]
I need help please with this 1 problem
Answer:
See below, please
Step-by-step explanation:
We know
[tex]f(x) = {x}^{2} + 3x - 7[/tex]
[tex]g(x) = 3x + 5[/tex]
[tex]h(x) = 2 {x}^{2} - 4[/tex]
Hence
[tex]f(g(x))[/tex]
[tex] = {(3x + 5)}^{2} + 3 \times (3x + 5) - 7[/tex]
[tex] = (9 {x}^{2} + 30x + 25) + (9x + 15) - 7[/tex]
[tex] = 9 {x}^{2} + 39x + 33[/tex]
[tex]h(g(x))[/tex]
[tex] = 2 \times {(3x + 5)}^{2} - 4[/tex]
[tex]2 \times (9 {x}^{2} + 30x + 25) - 4[/tex]
[tex] = 18 {x}^{2} + 60x + 50 - 4[/tex]
[tex] = 18 {x}^{2} + 60x + 46[/tex]
[tex](h - f)(x)[/tex]
[tex] = h(x) - f(x)[/tex]
[tex] = (2 {x}^{2} - 4) - ( {x}^{2} + 3x - 7)[/tex]
[tex] = {x}^{2} - 3x + 3[/tex]
[tex](f + g)(x)[/tex]
[tex] = f(x) + g(x)[/tex]
[tex] = ( {x}^{2} + 3x - 7) + (3x + 5)[/tex]
[tex] = {x}^{2} + 6x - 2[/tex]
Which angles are not supplementary
===============================================================
Explanation:
Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.
Choice b) and choice d) are eliminated for similar reasoning as choice a).
Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.
Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.
Select all the systems of equations that have exactly one solution.
Option 1. y = 4x - 1 and y = -4x + 7 Option 2. y = 3x + 1 and y = 2x + 1
Option 3. y = x + 2 and y = x + 7 Option 4. 2x + 2y = 20 and 3x + 3y = 30
Option 5. x + y = 40 and x + y = 90
Answer:
Option one and option 2
Step-by-step explanation:
Only ones that have 1 solution, option 3 and 5 have no solution, option 4 has infinetly many.
express 1.284 in form of p/q
Step-by-step explanation:
1.284=1284/1000
divide both by 4
=321/250
Help my sister she doesn’t understand this and I got to go
Answer:
1/2
1/4
2/4
1/4
2/4
1/4
i need help with this i will give 100 pt
Answer:
1. Where you shop at
2. The tax in the state you live in.
Hope this helps!
Answer:
1. Where you shop at2. The tax in the state you live in.
Step-by-step explanation:
ASAP Pllease Giving 20 points
Answer:
20, 22 and 24
Step-by-step explanation:
18 / 3/4
18 x (4/3)
18 x 1.3333
23.9
≅ 24
So if its ≅ 24, it means the answer is 24 and below. Therefore the three answers are 20, 22 and 24.
The units are equal to 0.2 mile
Valeria will Need to travel from information to Security frequently.
•She can ride a golf cart along the solid lines from one to other at 12 miles per hour.
•She can walk along the dashed line at 4 miles per hour.
She wants to use the faster method. How should she travel
Answer:
Take the golf cart for the fastest time, and bragging rights.
Step-by-step explanation:
See attachment
The golf cart will make the trip in 0.383 hours, while walking would require 0.85 hours.
What is the answer to this question?
Answer:
A = 16.5 cm²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ the bases
here h = 3, b₁ = 7 , b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²
I need helpppppppppppp
can somebody please tell me the awnser
Answer: 50ft I think
Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only
Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.
If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.
Now let's add all the sides together.
9 + 6 + 5 + 10 + 4 + 16 = 50
The perimeter of this shape is 50, if my geometry memory serves me correctly.
I hope this answers your question.
-Toremi
How many solutions are there? 100pts
Answer:
infinite many solutions
Step-by-step explanation:
5(2(b)+1) = 10(b) + 510(b) + 5 = 10(b) + 5As L.H.S = R.H.S, there are infinite many solutions
[tex]\\ \rm\Rrightarrow 5(2b+1)=10b+5[/tex]
[tex]\\ \rm\Rrightarrow 10b+5=10b+5[/tex]
[tex]\\ \rm\Rrightarrow 0=0[/tex]
Infinite solutionsWhat is the perimeter of 4ft and 8ft
Answer:
24
Step-by-step explanation:
4+4+8+8
8 + `16 = 24
X-5y= -3
3x-5y=11
please show work
Answer:
x= -4
Step-by-step explanation:
You need to the elimination method!
x-5y=-3
3x-5y=11
You need to multiply the top by -1
This means every number has to be multiplied by -1 on the x-5y=-3
-x+5y=3
3x-5y=11
The 5y's should cancel out
-x=3
3x=11
Now do -x+3x and 3-11
2x=-8
x= -4
What was the average temperature change per hour?
Answer: So, the average temperature dropping is 2 degrees per hour.
Step-by-step explanation: