Answer:
well, okay. its basically what you wrote. assuming there was missing information.
let's dive right into it.
we'll assume that the problem asks for integers, whole numbers.
if x would be 0,
we would get 9 numbers out, 0, -1, -2, -3, -4, -5, -6, -7 and -8
if x would one, the range would be from 7 to -8, giving us 16 numbers
if x would be 2, the range would be from 14 to -8, giving us 23 numbers (7 more each time we increasex by one)
so the answer isn't a fixed value, but a function.
7x+9
the plus nine is true when x=0 and is still relevant for every other scenario
9. Divide 15x^7-45x^5/3x^4
10. Divide (3x-2)(x-4)-(x-4)(6-5x)/(4-x)(8x-1)
The rational equations after division is
a) A = ( 5x³ - 15x )
b) B = - ( 3x - 2 ) ( x - 4 ) ( 6 - 5x ) / ( 8x - 1 )
What is rational function equation?
A rational equation can be defined as an equation that involves at least one rational expression
A rational function is a function of the form f( x )=P( x ) / Q( x ) ,
f( x ) = P( x ) / Q( x ) , where P( x ) and Q( x ) are both polynomials.
A rational function f ( x )=P( x ) / Q( x )
f( x ) = P( x ) / Q( x ) may have a vertical asymptote
The domain is the set of all real numbers for which Q( x ) ≠ 0
Given data ,
a)
Let the first function be P ( x ) = ( 15x⁷ - 45x⁵ )
Let the second function be Q ( x ) = 3x⁴
On simplifying , we get
A = P ( x ) / Q ( x )
A = ( 15x⁷ - 45x⁵ ) / 3x⁴
A = 3x⁴ ( 5x³ - 15x ) / 3x⁴
On further simplification , we get
A = ( 5x³ - 15x )
b)
Let the first function be P ( x ) = ( 15x⁷ - 45x⁵ )
Let the second function be Q ( x ) = 3x⁴
On simplifying , we get
B = P ( x ) / Q ( x )
B = ( 3x - 2 ) ( x - 4 ) ( x - 4 ) ( 6 - 5x ) / ( 4 - x ) ( 8x - 1 )
B = - ( 3x - 2 ) ( x - 4 ) ( x - 4 ) ( 6 - 5x ) / ( x - 4 ) ( 8x - 1 )
On further simplification , we get
B = - ( 3x - 2 ) ( x - 4 ) ( 6 - 5x ) / ( 8x - 1 )
Hence , the rational equations are solved
To learn more about rational function click :
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Pls help math NO LINKS
A Fifty dog owners and 50 people who do not own dogs are each given a test to evaluate their stress levels. Dog owners are found to have significantly lower stress levels than people who do not own dogs. Which of the following statements are true?
1. This study provides good evidence that owning a dog is effective in reducing stress.
2. It is likely that a confounding variable could be a contributing explanation for the difference between these two groups.
3. This is an observational study, not an experiment.
a. I only
b. II only
c. III only
d. II and III only
e. I and III only
Answer: 2. It is likely that a confounding variable could be a contributing explanation for the difference between these two groups.
3. This is an observational study, not an experiment.
Step-by-step explanation:
Based on the information given, the statement that's true include:
• It is likely that a confounding variable could be a contributing explanation for the difference between these two groups.
• This is an observational study, not an experiment.
It is an observational study as the researcher observed just observed the scenarios without him trying to change the people that are being exposed to it or controlling it.
Therefore, the correct options are II and III only.
What are the domain and range of the function f(x)= -log(5- x)+9?
Domain; x<5
range: 29
domain: x <5
range: (-0.co) domain: x29
range: (-0.CO)
domain: x29
range: 29
Answer:
Domain: X<5
Range: f(x)∈ R
Step-by-step explanation:
Each gram of fat is 9 calories. Each serving of cake is 700 calories. What percent of these calories are from fat?
Answer:
1.3%
Step-by-step explanation:
[tex]\frac{9}{700}[/tex]
9 ÷ 700
0.0129
0.0129 × 100
1.3%
If Anna's test grades are 66, 90, and 99, what is her test average?
Answer:
90 because it is the mean
Answer: it’s 83%
Step-by-step explanation: you add them up and divide by 3
4 statistics professors and 6 chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors?
You want to buy a pair of shoes that usually cost $100. Today the store is
having a sale: 20% off everything.
You also have a coupon that
promises 10% off the price at the
register. How much do you save? *
Pls help and pls show how you got it! I am very confused.
Thank you
Answer:
You saved $30
Step-by-step explanation:
20% + 10% = 30%
30% = 0.30
$100 * 0.30 = $30
$100 - $30 = $70
Hope this is helpful
2. If x is directly proportional to y^3 and x=32 when y=2, i) Find an equation
connecting x and y, ii) Find the value of x when y=6, iii) Calculate the value
of y when x=108. *
Answer:
(i)
[tex] x \alpha y {3} \\ \frac{x}{y {3} } = k[/tex]
(ii)
[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]
(iii)
[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]
Help with both of these please!
Maria is covering an entire box with 1-in. mosaic tiles and wants to find out how many square inches of mosaic files will cover the entire box. 3 in. 4 in. 9.5 in. Which statement is correct about the amount of mosaic tiles that will cover the entire box? O The amount of mosaic tiles covering the box is the surface area, which is 157 in.? O The amount of mosaic tiles covering the box is the surface area, which is 114 in.? O The amount of mosaic tiles covering the box is the volume, which is 157 in.3. O The amount of mosaic tiles covering the box is the volume, which is 114 in..
The amount of mosaic tiles covering the box is the surface area, which is 157 in.
Answer:
A
Step-by-step explanation:
You buy items costing $1000 and finance the cost with a fixed installment loan for 30
months at 4% simple interest per year.
a. What is the finance charge?
b. What is your monthly payment?
Answer:
The monthly payments will be $ 36.66, and the finance charge will be $ 100.
Step-by-step explanation:
Since I buy items costing $ 1000 and finance the cost with a fixed installment loan for 30 months at 4% simple interest per year, to determine what is the finance charge and what is my monthly payment, the following calculations must be performed:
1 year = 12 months
30 months / 12 = 2.5 years
(1000 x (1 + (0.04 x 2.5))) / 30 = X
(1000 x (1 + 0.1) / 30 = X
(1000 x 1.1) / 30 = X
1100/30 = X
36,666 = X
Therefore, the monthly payments will be $ 36.66, and the finance charge will be $ 100.
if c= the number of cars in a parking lot which algebaraic expression represents the phrase below the number of cars increased by 9
Answer:
C+9
Step-by-step explanation:
can someone please help me –4x ≤ 36
Answer:
x > -9
Step-by-step explanation:
–4x ≤ 36
Divide by -4, remembering to flip the inequality
-4x/-4 > 36/-4
x > -9
2 PEERS PLUS ANOTHRR 2 PEER
Answer:
4.
Step-by-step explanation:
2+2 equals 4. Plus sign: + you add two on both sides, therefor you get 4 as your answer.
Answer:
4 peers
Step-by-step explanation:
2 peers plus or + 2 peers equals 4 peers in total.
There u go and hope that helps!
lim┬(x→0)〖(√(1+x+x^2 )-1)/tan5x 〗
Evaluting the limand directly at x = 0 yields the indeterminate form 0/0, so we have a candidate for L'Hopital's rule. We get
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \lim_{x\to0}\frac{\frac{1+2x}{2\sqrt{1+x+x^2}}}{5\sec^2(5x)} = \frac{1+2\times0}{2\sqrt{1+0+0^2}\times5\sec^2(5\times0)} = \boxed{\dfrac{1}{10}}[/tex]
If you don't know about L'Hopital's rule, or are otherwise not allowed to use it, you can instead rely on algebraic manipulation and a well-known limit,
[tex]\displaystyle\lim_{x\to0}\frac{\sin(ax)}{ax}=\lim_{x\to0}\frac{ax}{\sin(ax)}=1[/tex]
where a ≠ 0. We write
[tex]\displaystyle\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \frac{5x}{\sin(5x)}\times\frac{\cos(5x)}5\times\frac{\sqrt{1+x+x^2}-1}x[/tex]
The limit of a product is equal to the product of limits:
[tex]\displaystyle\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}{\tan(5x)} = \left(\lim_{x\to0}\frac{5x}{\sin(5x)}\right)\times\left(\lim_{x\to0}\frac{\cos(5x)}5\right)\times\left(\lim_{x\to0}\frac{\sqrt{1+x+x^2}-1}x\right)[/tex]
The first limit is 1 and the second limit is 1/5. For the remaining limit, multiply through the fraction by the conjugate of the numerator:
[tex]\dfrac{\sqrt{1+x+x^2}-1}x\times\dfrac{\sqrt{1+x+x^2}+1}{\sqrt{1+x+x^2}+1} = \dfrac{\left(\sqrt{1+x+x^2}\right)^2-1^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{x+x^2}{x\left(\sqrt{1+x+x^2}+1\right)} \\\cdots= \dfrac{1+x}{\sqrt{1+x+x^2}+1}[/tex]
The remaining limand is continuous at x = 0, and its limit is
[tex]\displaystyle\lim_{x\to0}\frac{1+x}{\sqrt{1+x+x^2}+1}=\frac{1+0}{\sqrt{1+0+0^2}+1}=\frac12[/tex]
and hence the original limit is again 1 × 1/5 × 1/2 = 1/10.
10 ft
8 ft
Find the perimeter of this figure to
the nearest hundredth. Use 3.14 to
approximate a.
P = [?] ft
Answer:
P = 40.56 ft
Step-by-step explanation:
The figure is composed of a rectangle and half circle
The perimeter of the figure = the length of the borders round the figure
= W + 2L + ½(perimeter of full circle)
W = 8 ft
L = 10 ft
½(perimeter of circle) = ½(πd) = ½(3.14*8)
= 12.56 ft
Plug in the values
Perimeter of the figure = 8 + 2(10) + 12.56
= 8 + 20 + 12.56
= 40.56 ft
Which set of equations has (-4,1) as its solution?
A and B
B and D
A and C
B and C
2. Which of the following epxressions is a monomial?
a.
3.4x
b. 9-3(5x)+13a
c. 5(2x+l+y)
d. 2a+5(4x)
Answer:
a.3.4x
Step-by-step explanation:
A monomial only had one term
mono is the prefix for one
Lin's father is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal?
Solve for 20 points and show work
A park is \frac{9}{10} 10 9 mile long and\frac{4}{5} 5 4 mile wide. What is the area of the park?
the answer is [tex]x^{2} \sqrt{x} \leq \geq \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi x^{2} \sqrt{x} \frac{x}{y} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \left \{ {{y=2} \atop {x=2}} \right.[/tex]random but marter than einstein
Often you will see payment terms written out using the abbreviation 2/10,N/30.in this case the letter "N" stands for ______.
Answer:
Step-by-step explanation:
A cylinder has a height of 10 inches and a diameter of 1 1/2 inches. What is the volume of the cylinder
Answer:
7.85 in³
Step-by-step explanation:
π · r² · h
3.14 · 0.5² · 10
7.85 in³
HELP!!!! Which statement best describes an advantage of indirect democracy over
direct democracy?
A. It can better reflect the democratic principle of majority rule.
B. It can be more responsive to citizens' interests.
C. It can make decision making more efficient.
O D. It can help citizens feel more connected to government.
SUBMIT
Answer:
C. It can make decision making more efficient.
Step-by-step explanation:
PLEASE HELP ME ASAP ILL GIVE BRAINLIEST!!
Find the measures of the supplementary angles that satisfy each
case.
The difference of the measures of the angles is 35º.
The number of employees for a certain company has been decreasing each year by 7%. If the company currently has 510 employees and this rate continues, find the number of employees in 11 years.
Answer:
230
Step-by-step explanation:
a = 510(0.93)^t
a = 510(0.93)^11
a = 229.5528082951
Rounded
a ≈ 230
there are 40 students waiting in the line to enter the museum. There are 4 times as many students in the museum as are in line waiting. How many students are in the museum?
9514 1404 393
Answer:
160
Step-by-step explanation:
The problem statement tells us ...
(# in museum) = 4 × (# waiting)
(# in museum) = 4 × 40 . . . . . . . . . . . . the number waiting is 40
# in museum = 160
Pic is attached with the questions, I need help
Answer:
f(5) = 32
g(5) = 40
Step-by-step explanation:
For f(x) we can realize that each term for the value of x is twice the value before it. This means the missing value is 32 or f(5) = 32.
For g(x) we can realize that each term is 10 more than the previous. This means g(5) = 40.
Perimeter of 30 ft in an area of 14 ft what is the length and the width
Answer:
14 and 1
Explanation:
14 + 14 + 1 + 1 = 30
14 x 1 = 14
The perimeter is the sum of all 4 sides. Divide the perimeter in half fo the some of one length and one width:
Length + width = 15
Area is length x width
Find 2 numbers that when added equal 15 but when multiplied equal 14
15 + 0 = 15, 15 x 0 = 0
14 + 1 = 15, 14 x 1 = 14
The answer is 14 ft long by 1 ft wide
HELPP PLZ DONT SEND A FILE WHATS THE ANWERS ASAP
The answer is 2990.8 yd
Formula for SA of cylinder: 2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug the radius, 17, height, 11, and pi, 3.14, into the formula above.
= 2990.8 yd
Answer:
Step-by-step explanation:
It's 5
