Answers
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
Related Questions
PLEASE HELP ASAP LOOK AT PICTURE!!!
Answers
What is the area of a circle whose radius is 6 ft?
6π ft²
9π ft²
36π ft²
72π ft²
Answers
Answer:
36π ft²
Step-by-step explanation:
Check out the attached photo
A circular table top has a radius of 75 cm. A force of 640 N is applied to the whole table top. Calculate the pressure in N/m2 to 4sf.
Answers
The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.
Calculation of applied pressure on a surfacePressure= force/area
Area of the circular table = πr²
where r = 75cm = 0.75m
Area of the circular table = 3.143 × 0.75 × 0.75
= 1.768m²
Force = 640 N
Pressure = 640/1.768
= 361.99
= 361.9 N/m² to 4 significant figures.
Learn more about pressure here:
https://brainly.com/question/25736513
im stuck hahahahahahha lol
Answers
Answer:
r=53 degrees
______
yan po
can you please help me??
Answers
50% = .5 = O
100% = 1 = E
2% = 1/50 = V
55% = .55 = T
20% = 1/5 = N
1% = 1/100 = C
PLEASE HELP WILL MARK BRAINLIST
If the ratio of the rectangular prisms' volumes is 1:8, what is j?
Answers
2 * 8 = 16
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answers
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
100 POINTS PLEASE HURRY
Answers
Answer:
5.80^3
What is the value of x in this triangle?
38
53
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
Answers
Answer:
x = 45.79°
Step-by-step explanation:
You can use sin Θ to find the value of x.
Let us find it now.
Sin x = Opposite / Hypotenuse
Sin x = 38 / 53
Sin x = 0.7169
x = Sin ⁻¹ 0.7169
x = 45.79°
Kenny has $500 in an account. The interest rate is 5% compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Answers
Answer:
$525
Step-by-step explanation:
new value = starting value(1 + rate)^years
new value = 500(1 + .05)^1
new value = 500(1.05)
new value = $525
Answer:
25
Step-by-step explanation: Im not sure how to do it thats just what IXL says
For each diagram below, write and solve an equation for x .
Answers
Answer:
x = 100 , x = 3
Step-by-step explanation:
(a)
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + x + 125 + 125 + 90 = 540 , that is
2x + 340 = 540 ( subtract 340 from both sides )
2x = 200 ( divide both sides by 2 )
x = 100
(b)
the 2 given angles are alternate exterior angles and are congruent , then
6x + 18 = 2x + 30 ( subtract 2x from both sides )
4x + 18 = 30 ( subtract 18 from both sides )
4x = 12 ( divide both sides by 4 )
x = 3
Find the transpose of the matrix.
[8 6 1]
[2 -5 8]
[3 1 4]
Answers
Answer:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Step-by-step explanation:
To find the transpose all we do is change the rows into the columns and change the columns into rows.
So simply:
[tex]\left[\begin{array}{ccc}8&2&3\\6&-5&1\\1&8&4\end{array}\right][/tex]
Answer:
Flip the elements around, aka, transpose!
[8 2 3]
[6 -5 1]
[1 8 4]
Help me fast please 50 POINTS giving 50 points and brainliest its only 5 questions
Answers
Answer:
2x^2+1=5-2x
2x^2+1-5+2x
2x^2-4+2x=0
x^2-2+x=0
x^2+x-2=0
(x+2)(x-1)
x1= -2
x2= 1
Answer:
[tex]2x^2+1=5-2x2x^2+1-5+2x2x^2-4+2x=0x^2-2+x=0x^2+x-2=0(x+2)(x-1)x1= -2x2= 1[/tex]
Step-by-step explanation:
I hope this helps and have a good day!
Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.
Answers
The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
How to determine the explicit rule?
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
The number of box in the 12th week.This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.
The confidence level is 99%, σ is not known, and the histogram of 56 player salaries (in thousands of dollars) of football players on a team is as shown.
Answers
Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.
When should the t-distribution and the z-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, σ is not known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.
Using a t-distribution calculator, considering a confidence level of 99% and 56 - 1 = 55 df, the critical value is t = 2.6682.
More can be learned about the t-distribution at https://brainly.com/question/16162795
Estimate the value of 101.4^0.5 +6.43^0 x 7.99^(2/3)
I’m not really sure of the answer, if you know, please tell me.
Answers
Answer:
14
Step-by-step explanation:
101.4^0.5 = 10.0697 etc
it says estimate so I'm going to round that to 10
6.43^0 Anything with an exponent of 0 = 1
7.99^(2/3) = 3.9966 etc you can round that to 4
Put in the values:
10 + 1 × 4
Use PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
We have to multiply 1 × 4 which is 4
We're left with 10 + 4 which is 14
Answer:
14
Step-by-step explanation:
[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]
[tex]\sf a^{0.5}=\sqrt{a}[/tex] so round 101.4 to 100 as the square root of 100 is easy to calculate mentally [tex]\sf a^0=1[/tex] so [tex]\sf 6.43^0=1[/tex]7.99 ≈ 8[tex]\sf a^{\frac23}=(a^{\frac13})^2[/tex][tex]\sf8^{\frac13}[/tex] = the number that you cube to get 8[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]
What is the slope of the line that passes through (9,3) and (2,1)
Answers
Answer:
2/7
Step-by-step explanation:
[tex]slope = \frac{1 - 3}{2 - 9} \\ = \frac{ - 2}{ - 7} \\ = \frac{2}{7} [/tex]
f(x)=3x^2+x f(x)=3x 2 +x \text{Find }f(-5) Find f(−5)
Answers
So the equation given is: [tex]3x^2+x[/tex]
What do we find: f(-5)
To find f(-5), we must plug '-5' into the equation in place of the 'x'
[tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]
Answer: f(-5) = 70
Hope that helps!
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Answers
Answer:
Step-by-step explanation:
Pls give brainlest if right.
10/20-3/6 ?
Steven and his family ordered a meal that cost $136.50. Steven paid 14% sales tax and left a 20% tip on $136.50. What was the total cost?
Answers
Answer:
$182.91
Step-by-step explanation:
136.50 times 0.14 (14%) is 19.11
136.50 times 0.2 (20%) is 27.30
13650+19.11+27.30=182.91
Line a is perpinduclar to Line B. If the slope of Line A is 3/7 what is the slope of Line B?
Answers
Answer:
slope = - 7/3
Step-by-step explanation:
Slope of a line = m
perpindicular slope = - 1/m
-1 / ( 3/7) = - 7/3
Backyard World buys plastic pools from a supplier with an invoice amount of $17,500. The terms of the sale are 5/10, n/30. If the retailer sends a partial payment of $8,300 on the discount date, what is the net amount still due?
Answers
Answer:
I think it $10800
Step-by-step explanation:
I have not read how to sole
A
group of friends were working on a student film that had a budget of $1300.
They spent all their budget on equipment and props. They used 55% of their
budget on props. How much money did they spend on equipment?
Answers
Please help me with this please and thank you please actually help me
Answers
Step-by-step explanation:
f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2
(x, f(x)) = (-1, 2)
f(0) = 4(2)⁰ = 4×1 = 4
(x, f(x)) = (0, 4)
f(1) = 4(2)¹ = 4×2 = 8
(x, f(x)) = (1, 8)
f(2) = 4(2)² = 4×4 = 16
(x, f(x)) = (2, 16)
Evaluate the expression when a=5 and b=28.b+(30)/(a)
Answers
Answer:
34
Step-by-step explanation:
Just substitute in the valuesThis would give 28 + 30/5 = 28 + 6 = 34Help me with these, just say sometimes, always, or never. Correct answers please and no links. Correct answers get brainly
Answers
Answer:
12. sometimes
13. always
14. always
Step-by-step explanation:
Exponential functions with a positive base are defined for all real numbers. Such functions will always have a positive value.
__
12)The larger the base, the faster the decay for x < 0. In that part of the domain, 2^x > 10^x. (sometimes)
__
13)See the initial comment. (always)
__
14)See the initial comment. (always)
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?
Answers
She cannot test because she hasn't completed half. The fraction that's she has done will be:
= 2/7 + 1/8 = 23/56
The remaining fraction to complete half will be:
= 1/2 - 23/56
= 5/56
People use water to cook, clean, and drink every day. An estimate of 22.8% of the water used each day is for cleaning. If a family uses 68.4 gallons of water a day for cleaning, how many gallons do they use every day?
Answers
Answer:
I got 15.6
Step-by-step explanation:
I subtracted 28.8 percent from 68.4 then subtracted that number from 68.4
find the HCF of 447 577 669
Answers
Answer:
3
Step-by-step explanation:
447÷3=149577 is a prime number so it can't be divided669÷3=223447=3×149577=0669=3×223Common factors=3H.C.F of 447,577 and 669=3Answer:
1
Step-by-step explanation:
447 = 3 ×149
577 = 577 (prime number)
669 = 3 × 223
HCF = 1
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
A. ZRTP and ZATB
B. ZDTN and ZATP
C. ZATN and ZRTD
D. ZBTD and ZATP
Answers
Answer:
C & D because vertical angles have the same measures and thoses angles intersects each other
Step-by-step explanation:
