Answers
Related Questions
17. Write a rational function in expanded form that satisfies the
following criteria:
• V.A. x=2
• SI.A y =5x-1
• Zero of function (-1,0)
pls help thank you<3
Answers
Answer:
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Step-by-step explanation:
Given
VA; [tex]x = 2[/tex]
SLA: [tex]y = 5x - 1[/tex]
Zero of function: [tex](-1,0)[/tex]
Required
Determine the rational function in expanded form
Analyzing the vertical asymptote
The vertical asymptote is given as:
[tex]x = 2[/tex]
Subtract 2 from both sides
[tex]x - 2 = 2 - 2[/tex]
[tex]x - 2 = 0[/tex]
This means that the denominator must be [tex]x - 2[/tex]
Analyzing the zero of the function
The zero of the function is given as: [tex](-1,0)[/tex]
This means that [tex]x = -1[/tex], when [tex]y = 0[/tex]
Equate [tex]x = -1[/tex] to 0 by add 1 to both sides
[tex]x + 1 =- 1 + 1[/tex]
[tex]x + 1 =0[/tex]
This means that one of the numerators must be [tex]x + 1[/tex]
Analyzing the slant asymptote:
[tex]y = 5x - 1[/tex]
This means that one of the numerators must be [tex]5x - 1[/tex]
Hence, the function is:
[tex]f(x) = \frac{(5x - 1)(x+1)}{x - 2}[/tex]
Expand the numerator
[tex]f(x) = \frac{5x^2 + 5x - x - 1}{x - 2}[/tex]
[tex]f(x) = \frac{5x^2 + 4x - 1}{x - 2}[/tex]
Only 35 people out of the 250 to whom the offer was made refused it. What percent refused it?
Answers
Answer: 14% refused the offer.
Step-by-step explanation: Divide the number of refusals by the total sent.
35/250 = 0.14 Then multiply by 100 to change from decimal to percent.
The quick way to multiply by 100 is to move the decimal point two places to the right. (Delete the 0 at the left.)
0.14 × 100 = 14. So the answer is 14%
If a 5-foot man casts a 6-foot shadow, how tall is a tree that casts a
24-foot shadow?
Answers
Answer:
28.8 foot shadow
Step-by-step explanation:
to do that, you would have to make proportionate fractions. That would mean that you do 5/6 = 24/x. Then you would just cross multiply to get 5x = 144. Then you would divide to isolate x. That would give you 28.8
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool? Explain or show your reasoning.
Answers
Answer:
2
Step-by-step explanation:
the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.
Given :
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:
[tex]\rm Area = \pi r^2[/tex]
Area = 2827.43 square feet
Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:
[tex]=\dfrac{2827.44}{300}\times 1[/tex]
= 9.43 gallons of paint
So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.
Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :
[tex]=\dfrac{9.43}{5}[/tex]
= 1.886 [tex]\approx[/tex] 2
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.
For more information, refer to the link given below:
https://brainly.com/question/23368125
The length between points on a map is 3 inches, 7 inches, and 10 inches. If the scale is one inch equals 25 miles, what are the distances in miles? 3 inches is miles 7 inches is miles 10 inches is miles
Answers
9514 1404 393
Answer:
3 inches ⇒ 75 miles7 inches ⇒ 175 miles10 inches ⇒ 250 milesStep-by-step explanation:
Each inch is 25 miles, so the number of miles is 25 times the number of inches.
3 in ⇒ (3×25 mi) = 75 mi
7 in ⇒ (7×25 mi) = 175 mi
10 in ⇒ (10×25 mi) = 250 mi
2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.
Answers
Step-by-step explanation:
Please gimme brainliest
I hope it's correct
Find the unit rate.
625 revolutions in 223 seconds
The unit rate is revolutions per second.
Answers
Answer:
2.80 revolutions / second to the nearest hundredth.
Step-by-step explanation:
625/223
= 2.803.
Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?
Answers
Answer:
4 minutes and 32 seconds
Step-by-step explanation:
card $20.00-money left over $15.68 $20.00-$15.68 4.32
16. If 3x2 = 2y = 12, what is the value of x2y
Answers
Y=2
There are 123 goldfish in the tank. Goldfish like to swim 12 fish to a family. If 6 of the goldfish died before forming families, how many FULL families will be formed?
Answers
Answer:
Formed will be i think 9, but im not sure.
A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?
Answers
Answer:
280 km
Step-by-step explanation:
Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of 70km/hour.
Half an hour later the second bus, say [tex]b_2[/tex], leaves a station traveling north at speed of 70km/hour.
As, distance = speed x time,
so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.
Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.
Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.
The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km
[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]
and the distance traveled by the second bus, [tex]d = 80t[/tex] km
[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]
Now, equation the equation (i) and (ii), we have
[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]
Hence, both the bus will meet at a distance of 280 km from the station.
Write an equation for the following problem.
The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of
babysitting baby Aaron was $58, how many hours was Aaron at the sitter?
12x+10=58
10x+12=58
12x-58=10
10x+58=12
Answers
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
Explanation: $10 is the flat rate, so it only applies to one of the hours. It is not being multiplied by anything. Her hourly rate after that is $12 meanings the amount of money she makes depends on how many hours she works which is x. $58 is the end result so that is what the equation equals.
a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?
Answers
Elaine and Kasmir share a $2500 prize in the ratio 3:2. How much money should they each receive?
Answers
Evaluate the following functions to determine the range for each given domain.
3. f(x) = 5x + 6 D = {-3,0,5}
4. f(x) = -1 D = {-6,9,21}
please show work
Answers
Answer:
3. f' ( x) = 5
4. d= 69.21
I hope i helped
Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
Answers
Answer:
you're question is complicated
Step-by-step explanation:
Answer:
u
Step-by-step explanation:
hb
The number of sweets s that each friend gets is the number of sweets in a box n divided by the number of friends f the sweets are shared between. Enter a formula for the number of sweets each friend gets and enter the number of sweets each friend gets if there are 60 sweets and 12 friends.
Answers
Answer:
The number of sweets each friend gets = 5
Step-by-step explanation:
The number of sweets s that each friend gets = the number of sweets in a box n ÷ number of friends f the sweets are shared between
s = n ÷ f
s = n/ f
if there are 60 sweets and 12 friends.
That is,
n = 60 sweets
f = 12 friends
Find s,
s = n/ f
= 60 / 12
= 5
s = 5 sweets
The number of sweets each friend gets = 5
Which expression is equal to the expression below?
(7•2)^7
A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7
Answers
Answer:
c
Step-by-step explanation:
A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?
helpp pls
Answers
Answer:
Number of dimes in the bag = 90
Number of quarters in the bag = 186
Step-by-step explanation:
Let
x = Number of dimes in the bag
y = Number of quarters in the bag
= 2x + 6
Total = 276
276 = x + 2x + 6
276 = 3x + 6
276 - 6 = 3x
270 = 3x
x = 270/3
= 90
x = 90
Number of dimes in the bag = 90
Number of quarters in the bag = 2x + 6
= 2(90) + 6
=180 + 6
= 186
Total = Number of dimes in the bag + Number of quarters
= 90 + 186
= 276
In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?
Answers
Answer:
70 degrees
Step-by-step explanation:
The measure of all angles in a triangle are 180 always
1. Add 50 + 60 = 110
2. 180 - 110 = 70
Hope that helps dude
Write the product, and then write the expression in standard form by removing parentheses and combining like terms.
Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)
Please help!!!
Answers
Step-by-step explanation:
please see it my steps to work this problem
Answer:
IG it is 2
Step-by-step explanation:
ur acc got something hahhah
GIVING BRAINLIEST ONCE AGAIN
Answers
Answer:
45
Step-by-step explanation:
divide 25 by 5 to see how they got that, which is 5. then multiply 9 by 5 bc you have to do the same thing, which is 45.
Answer:
5:9 = 25:45
Step-by-step explanation:
Find m. Leave answer in simplest radical form.
1
30°
Answers
Answer:
m = 6√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
We are given a right triangle. We can use trig to find the missing side length.
Step 2: Identify Variables
POV from angle measure
Angle = 30°
Adjacent Leg = m
Hypotenuse = 12
Step 3: Solve for m
Substitute [cosine]: cos30° = m/12Isolate m: 12cos30° = mEvaluate: 10.3923 = mRewrite: m = 6√3
Andrew makes $10 per hour babysitting and $8 per hour working at the grocery store. He will need to make atleast $650 to buy a new computer. Are the variables defined correctly? (True or False) x = Hours babysitting y = Hours working at grocery store
Answers
Answer:
True
Step-by-step explanation:
Since babysitting and working at the grocery store are two different things, you would need two different variables.
So x and y would be the correct representation.
Hope this helps ya!!
solve for x
3(x - 2) = 6x - 12
Answers
Answer:
The answer is 2
Step-by-step explanation:
Here's how I got it:
3(x - 2) = 6x - 12
Multiply 3 times x and 3 times 2, this is what you would get
3x - 6 = 6x - 12
Then, subtract the lowest x with the bigger X, this way you would have x on one side:
3x - 6 = 6x - 12
-3x -3x
This is what you should have after this:
-6 = 3x - 12
Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:
-6 = 3x - 12
+12 +12
You would get this:
6 = 3x
Finally, you have to get x by itself, so you have to divide 3 on both sides like this
6/3 = 3/3 x
That's why, your answer is 2
PLEASE HELP ME QUICK!!!!!
For proportional percent problems, why do you put a 100 on the bottom of the right proportional ratio (fraction)?
Answers
Answer:
because its out of 100
Step-by-step explanation:
cause it could be something else
please help! i’ll give brainliest! thank u!
Answers
Answer:
Negative with little correlation
It has negative slope if you imagine a line
is this answer, right?
Answers
Answer:
1) Incorrect should be 35%, 2)incorrect should be 23%
Step-by-step explanation:
37 + 24 = 61 61 + 54 = 115 115 + 36 = 151 college students
1) 54 = x 2) 36 = x
151 = 100 151 = 100
151x/151 = 5400/151 151x/151 = 3600/151
x = 35.7... x = 23.8...
do not round do not round
up since you can't up since you can't
get more people get more people
How are coordinate planes the same ????
22 points if u can answer
Answers
Answer: Its a trick question
Step-by-step explanation:
I did this yesterday
Answer:
They are the same because they all have an X-axis and a Y-axis
Step-by-step explanation:
sorry if im wrong lol
The diameter of a cookie is 2 inches. If IT = 3.14, what is the area of the cookie, rounded to the nearest tenth?
A
39.4 in.2
B
9.9 in.2
с
3.1 in.?
D
6.3 in.2