Answer:
(3r-10) (r+8)
Step-by-step explanation:
3r-34r+80
The first step is to combine like terms
3r - 34r
is -31r
-31r+80
We cannot factor since 31 is a prime number and 80 is not a multiple of 31
If you mean
3r^2-34r+80
(3r-10) (r+8)
Compare the graph of the function, g(x)=(1)/(x-1)-3(, with the graph of its parent function. ) Which of the following options best describes the transformations undergone by g(x)? Select all that apply.
left 1
up 3
right 1
left 3
down 3
up 1
right 3
Answers:
right 1, down 3 (these two answers only)
Step-by-step explanation:
There are two transformations going on. The first of which is the horizontal or x translation (aka shifting) where the 'x' turns into 'x-1'. This moves the xy axis 1 spot to the left, giving the illusion that the graph moves 1 unit to the right.
The "-3" at the end shifts the graph down 3 units. If g(x) = f(x) - 3, then g(x) is the output of f(x) but 3 less than that, which is why it shifts down 3 units.
The function g(x) represents two transformations from its parent function f(x) = 1/x: a horizontal shift to the right by 1 unit and a vertical shift down by 3 units.
Explanation:When comparing the graph of the function g(x) = (1)/(x-1) - 3 with its parent function f(x) = 1/x, the transformations undergone by g(x) include:
The addition of -1 inside the parentheses with the independent variable x, which shifts the graph to the right by 1 unit.The subtraction of 3 from the entire expression, which translates the graph down by 3 units.These transformations can be understood with the help of given examples. For instance, adding or subtracting a number to/from the independent variable x, like f(x+1), results in a horizontal shift of the graph. Multiplying the independent variable by a number, say 2 as in f(2x), would cause a horizontal compression of the graph. In our case, since the function g(x) includes x-1, it is indicating a horizontal shift to the right, and since the -3 is subtracted from the entire function, it denotes a vertical shift downward.
REBECA HAD 9/10 OF A YARDOF RIBBON. THEN SHE GAVE 7/20 OF A YARD OF FRIEND. HOW MUCH DOES SHE HAVE LEFT?
Answer:
She has 11/20 yds left
Step-by-step explanation:
We take what she had and subtract what she gave away
9/10 - 7/20
We need to get a common denominator of 20
9/10 *2/2 - 7/20
18/20 - 7/20
11/20
She has 11/20 yds left
In the figure below, A shows the position of a house on the shore and B shows the position of a house on an island. To find the distance between the two houses,a surveyor measures from the house on shore to point C. An instrument is used to find
The surveyor is using a trigonometric method to calculate the distance between the two houses. They form a right triangle with points A, B and C, measure the length AC and the angle at point A or C, and then calculate the distance AB using trigonometric ratios.
Explanation:In this scenario, the surveyor is using a method resembling triangle-based methods in Mathematics, which specifically relates to trigonometry. To determine the distance between points A (house on shore) and B (house on island), the surveyor measures line AC, forms a right triangle ABC, and uses an instrument (like a theodolite) to measure one of the corners (usually angle at point A or C). With the measured length and angle, the distance AB can be calculated using trigonometric ratios (like sine, cosine, or tangent), depending upon the given scenario. For instance, if the angle at point A and length AC are known, then the distance AB can be calculated as AB = AC / cos(A), where A is the angle at point A.
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there are 100 officials at the race. you read that the total cost of all the officials for one day is 20 654. how much does each official get paid per day?
Answer:
$206.54
Step-by-step explanation:
Divide the number of officials by the total days pay to get the pay for each official working the race
ASAP PLZ Sean made 3⁄4 pound of trail mix and put 3⁄8 pound in each bag. How many bags did Sean fill with trail mix? bags
He filled 2 bags with trail mix.
Simply divide 3/4 into 3/8.
3/4 / 3/8 = 2
2 is the answer.
The answer to your question is 2
Brianna has saved $32. 1/4 of the $ she earned from babysitting. How much $ did she earn babysitting?
Based on proportional standards, if $32 represents 1/4 of Brianna's total earnings from babysitting, then she earned a total of $128.
Explanation:From the amount Brianna saved, we know that $32 represents 1/4 or 25% of the total amount she earned from babysitting. If $32 is a quarter of the total amount, then we can find the total amount by multiplying $32 by 4. This is because 1 divided by 1/4 is equal to 4. So, Brianna earned a total of $32 x 4 = $128 from babysitting. This is the solution to the problem referred to as proportional reasoning. It involves understanding the concept of fractions and simple multiplication.
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Suppose you have $30 to spend on bags of tootsie rolls that are worth $3 and bags of lollipops worth $5. If you have to use all of their money, what combinations of candy bags can they buy?
Construct a linear equation and find/explain the y-intercept, x-intercept, and slope.
Finally, if you have $45 to spend on the candy, how would that impact everything?
Answer:
see below
Step-by-step explanation:
Let x = tootsie rolls
y = lollipops
Toosie rolls are 3 dollars and lollipops are $5 and you only have 30 dollars.
3x+5y =30
To find the x intercept, set y=0 and solve for x
3x +0 = 30
3x = 30
Divide by 3
3x/3 = 30/3
x = 10
The x intercept is 10. This means if you get no lollipops, you can have ten tootsie rolls.
To find the y intercept, set x=0 and solve for y
0 +5y = 30
5y = 30
Divide by 5
5y/5 = 30/5
x = 6
The y intercept is 6. This means if you get no tootsie rolls you can have 6 lollipops.
To find the slope, solve the equation for y
3x+5y =30
Subtract 3x from each side
3x-3x+5y = -3x+30
5y = -3x+30
Divide by 5
y = -3/5 x +30/5
y = -3/5 x +6
The slope is -3/5. For every three less lollipops you get, you can have 5 more tootsie rolls.
If you have $45 dollars instead of 30, this will change the x and y intercepts, but not the slope.
3x+5y =45
To find the x intercept, set y=0 and solve for x
3x +0 = 45
3x = 45
Divide by 3
3x/3 = 45/3
x = 15
The x intercept is 15. This means if you get no lollipops, you can have 15 tootsie rolls.
To find the y intercept, set x=0 and solve for y
0 +5y = 45
5y = 45
Divide by 5
5y/5 = 45/5
x = 9
The y intercept is 9. This means if you get no tootsie rolls you can have 9 lollipops.
To find the slope, solve the equation for y
3x+5y =45
Subtract 3x from each side
3x-3x+5y = -3x+45
5y = -3x+45
Divide by 5
y = -3/5 x +45/5
y = -3/5 x +9
The slope is -3/5. For every three less lollipops you get, you can have 5 more tootsie rolls.
Which of the following is the graph of y= 2x2+3/4?
If you know the answer could you help me on it
Answer:
The answer is B because the numbers in the geometric sequence are being multiplied by 2.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the inverse of the given function.
27pionts
Answer:
D. f^-1(x) = log2(x -6)4x^2 -3 . . . . x ≤ 0B. √(x^5) -3√(x^3) -18√xStep-by-step explanation:
1. When you replace f(x) by x and x by y, you have
... x = 2^y + 6
The first thing you do is subtract 6; then you take the base-2 logarithm:
... (x -6) = 2^y
... log2(x -6) = y = f^-1(x)
You know that to get the y-term by itself, you must subtract 6. Anything else you do will operate on (x-6). Only answer choice D has that sort of construction.
2. When you swap x and y and solve for y, you have ...
... x = -1/2√(y+3)
... -2x = √(y +3) . . . . . . multiply by -2
... (-2x)^2 = y +3 . . . . . square
... 4x^2 - 3 = y = f^-1(x) . . . . subtract 3
The range of f(x) is (-∞, 0], so that is the domain of f^-1(x). That is, f^-1(x) is defined for x ≤ 0.
3. The product of the two functions is ...
... (x -6)(√x)(x +3) = (√x)(x^2 -3x -18)
Every term will have a factor of √x, and the coefficients will be 1, -3, -18. Only selection B matches those conditions.
Answer:
Question One: log_2(x - 6) = y
Question Two: First blank: 4 Second blank 0
Question Three: B
Step-by-step explanation:
f(x) = 2^x + 6
y = 2^x + 6 Interchange the x and y
x = 2^y + 6 Subtract 6 from both sides
x - 6 = 2^y Take the log of both sides
log(x - 6) = log 2^y The power can be multiplied by the log of 2
log(x - 6) = y log(2) Divide by the log of 2
log(x - 6)/log(2) = y This to me is the preferred answer. It allows you to calculate what the actual number is or graph it on Desmos
The answer I have given is equivalent to using base 2 as your log, but calculating that is not always easy.
log_2(x - 6) = y
Answer: D
Problem Two
You want the inverse of y = - 1/2 sqrt(x + 3) x ≥ - 3
Note: you cannot have any number less than -3 because if you do, you will be taking the square root of -x which involves complex numbers. In addition x ≥ -3 is a domain. You have to keep that in mind when doing this question.
y = - 1/2 sqrt(x + 3) Interchange the x and yx = - 1/2 sqrt(y + 3) Multiply by - 2-2x = sqrt(y + 3) Square both sides(-2x)^2 = sqrt(y + 3)^2 4x^2 = y + 3 Subtract 3 from both sidesy = 4x^2 - 3The domain and range of this is a little harder to figure out. The range of f(x) becomes the domain of f-1(x)
The range of f(x) is 0 <=y < - infinity
So the domain of f-1(x) <= 0
Answer: The first blank is 4 and the second one is 0
Graph: the graph is given you below the question. What it shows is the f(x) and f^-1(x) are symmetrical about y = x. Most inverses are. If you want to check your work, it is best to include a graph when doing inverses.
Red OriginalBlue inverseBlack: y = xProblem Three
The best way to begin this problem is to apply the associative property of multiplication and start by rewriting the givens as x^(1/2)[(x - 6)(x + 3)]. Do what is in the square brackets first.
x^(1/2) [x^2 - 6x + 3x - 18]x^(1/2) [x^2 - 3x - 18]Now deal with the x^(1/2) which must be multiplied by all three terms in the square brackets.
x^(1/2)*x^2: x^(2 + 1/2) = x^(4/2 + 1/2) = x^(5/2)x^(1/2)*(-3x): - 3 x^(2/2 + 1/2) = - 3x^(3/2)x^(1/2)*(-18): - 18x^(1/2)Result: x^(5/2) - 3x^(3/2) - 18x^(1/2)
Answer: √(x^5) - 3√x^3 - 18√x
Answer: B
The Organic Cafe ordered 45 boxes of sugar packets. Each box contained 37 packets of sugar. How many sugar packets in total did The Organic Cafe order?
Boxes of Sticky Fingers popsicles are $4.50. The supermarket is offering a 30% off coupon. What is the price with the coupon? PLEASE HELP!!!!!!!
Answer:
The price of the popsicles are $3.15 with the coupon
Step-by-step explanation:
To find the price of the item, we need to find the discount
discount = price * percentage off
discount = 4.5 *.3
discount =1.35
New price = original price- discount
new price = 4.5 - 1.35
new price = 4.5 -1.35
new price = 3.15
The price of the popsicles are $3.15 with the coupon
If a single six sided die is rolled, what are the odds that you will roll a number less than 5?
Choose the correct answer below.
Answer:
C) 4 : 2 Odds of rolling a number less than 5
Step-by-step explanation:
If there are 6 sides on the dice, 4 of the sides are going to be less than 5 and two of them are not.
Answer:
4:2 Odds of rolling a number less than 5.
Step-by-step explanation:
ODDS is defined as probability that event will occur divided by probability that event will not occur.
A six sided die has 6 numbers in total.
Numbers less than 5 are: 1,2,3, and 4. In total 4 numbers.Numbers NOT less than 5 are: 5 and 6. In total 2 numbers.The odds of rolling a number LESS THAN 5 is therefore:
Odds = 4:2
Last answer choice is right.
Determine if the given equations are parallel perpendicular or neither 3x+2y=6 and y=-3/2x+5
They are parallel to each other.
Your Food Cost s are $2,500. Your total food sales ae $17,500. What percent of your food sales do the food costs represent?
Answer:
the correct answer is 14.29%
Step-by-step explanation:
Need help with 61-64 plz
Complete the following sentence: Two events that are mutually exclusive...
Answer:
If two events are mutually exclusive then they cannot occur at the same time.
Step-by-step explanation:
If two events are mutually exclusive then they cannot occur at the same time.
For example: If you take a coin, the two possible outcomes on flipping a coin will be mutually exclusive as when you flip a coin, it cannot give both heads and tails at the same time.
Hence, the two mutually exclusive events cannot occur at the same time.
How do you convert minutes to hours
Easy, just do 60 seconds which equals a minute. Since we know that now simply use 60 minutes to get you to an hour. If your doing minutes to hours make sure there is a 0 at the end.
factor
[tex]x^{2} -2x[/tex]
Answer:
x(x -2)
Step-by-step explanation:
The given expression is [tex]x^{2} - 2x[/tex]
Here "x" is the common factor, we can take it out and write the remaining terms in parenthesis.
x(x - 2)
So the factors are x and (x-2)
Thank you.
Solve the system of equations in three variables
We start from the third equation:
4z = 16 divide both sides by 4
z = 4Put the value of z to the second equation:
y + 4 = 5 subtract 4 from both sides
y = 1Put the values of y and z to the first equation:
3x + 2(1) - 4 = 4
3x + 2 - 4 = 4
3x - 2 = 4 add 2 to both sides
3x = 6 divide both sides by 3
x = 2657 passengers paid £247 each for a cruise on a small cruise ship. Estimate the amount paid by the passengers in total
Answer:
The passengers paid approximately 162500
Step-by-step explanation:
We are find how much the passengers paid
657 passengers * 247 per passenger
Round 657 to 650
Round 247 to 250
650 * 250 = 162500
The passengers paid approximately 162500
slove for x (2x+10) (4x-38)
please help me you get all the points and mark brainiest
Answer:
Step-by-step explanation:
8x^2-76x+40x-380
8x^2-36x-380
Stan drove 3300m to the grocery store. The tires on his truck are 2.2m in circumference. How many rotations did each tire make on Stan's drive?
Answer:
1,500 rotations
Step-by-step explanation:
To answer this, divide 2.2 m into 3300 m. This results in 1500.
The wheels made 1,500 rotations each.
Which part of the proof does the fourth statement and reason represent?
Given: AB ≅ BC
BC ≅ EF
Prove: EG = AB + FG
It is part of the given information.
It is part of the argument.
It is the conclusion.
It is an assumption.
Answer:
Option B is correct.
Reason:It is an argument
Step-by-step explanation:
Given: [tex]AB \cong BC[/tex] and [tex]BC \cong EF[/tex]
By transitive property: a = b and b = c then, a =c
⇒[tex]AB \cong EF[/tex]
AB = EF [def of [tex]\cong[/tex] segment]
By Segment Addition Postulate states that given two points A and C, and a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation
AB + BC = AC.
Since, the line segment EG , F lies on the line segment;
then, by segment addition postulates we have;
EG = EF + FG
By substitution AB=EF
⇒ EG = AB + FG hence proved!
Since, in the fourth statement reason is: It is an argument
Answer:
B, it is an argument
Step-by-step explanation:
If you are given a 4% raise and inflation is 1%, you are _____.
A you earn 3 percent more money
Step-by-step explanation:
4-1
Answer:
If you are given a 4% raise and inflation is 1%, you are making 3% more.
Step-by-step explanation:
If you are given a 4% raise and inflation is 1%, you are making 3% more.
[tex]4-1=3[/tex]
Or we can say you are making more money.
This is because you are given high percent of raise as compared to the low rate or percent of inflation, that shows you are on the positive side.
Ms. Salazar's rice mixture consists of five parts of white rice to two parts of wild rice. if she makes 21 cups of the mixture how many cups of white rice will she use?
Answer: 15 cups of white rice
Step-by-step explanation:
1. 5 cups of white to 2 cups of wild
2. 10 cups of white to 4 cups of wild
3. 15 cups of white to 6 cups of wild
4. 15 + 6 = 21
To determine the amount of white rice in a 21-cup rice mixture with a ratio of five parts white rice to two parts wild rice, we find out that one part is equivalent to 3 cups (since 21 divided by 7 is 3). Multiplying 3 cups by 5 parts of white rice gives us 15 cups of white rice.
Ms. Salazar's rice mixture consists of five parts of white rice to two parts of wild rice. To find out how many cups of white rice she will use for a 21-cup mixture, first, we need to determine the total number of parts in the mixture. Five parts white rice plus two parts wild rice equals seven parts total. Since Ms. Salazar is making 21 cups of the mixture, we will divide 21 cups by the total number of parts, which is 7, to find out the measurement of one part. After this, we multiply the measurement of one part by the number of parts of white rice, which is five.
21 cups / 7 parts = 3 cups per part
3 cups per part * 5 parts white rice = 15 cups of white rice.
So, Ms. Salazar will use 15 cups of white rice in her 21-cup mixture.
Please help!! Only answer if you know the answer. Thank you.
ANSWER: Tim Carter's weekly pay was $282.25.
I will work on Tim Carter's weekly pay. Because he worked 50 hours, and there are 40 regular hours, he worked 10 overtime hours.
To find out his regular pay, we need to multiply his regular pay by his regular hours.
[tex]40 * 5.15 = 206[/tex]
Tim Carter makes $206 for his regular hours. To find out his overtime pay, we need to multiply his regular pay by his overtime hours, then multiply that product by 1.5.
[tex]10 * 5.15 = 51.5\\\\51.5 * 1.5 = 77.25[/tex]
Tim Carter makes $77.25 for his overtime hours. Lastly, add the regular pay and his overtime pay to get his weekly pay.
[tex]206 + 77.25 = 283.25[/tex]
Tim Carter's weekly pay was $283.25.
Answer:
Step-by-step explanation:
OT Weekly Pay
Tim Carter: 10 40x5.15= 206 5.15 x 1.5=7.725
7.725 x 10 = 77.25 206 + 77.25 = $283.25
Jesse Jones: 7.5 40x5.15= 206 5.15 x 1.5 = 7.725
7.725 x 7.5 = 57.9375 = 57.94
206 + 57.94 = $263.94
Barbara Burns: 4 40x5.15= 206 5.15x1.5 = 7.725
7.725 x 4 = 30.90 206 + 30.90 = $236.90
Add 6 and 8. Then, multiply by 2.
Which of the following expressions matches the statement above?
A.8 + 6 × 2
B.6 + 8 × 2
C.2 × (6 + 8)
D.6 × (2 + 8)
Answer:
C. 2 x (6 + 8)
Step-by-step explanation:
If you are trying to add before you multiply, you have to put a parantheses. This way, you would add 6 + 8 first, then multiply it by 2.
The amount of data left on a cell phone plan is 6 GB after 8 days. 1.5 GB of data is used each day. How much data is available at the beginning of the cycle?
Answer:
The answer is 18 GB
Step-by-step explanation:
Okay to the breakdown:
This is a word problem that requires basic knowledge of equality.
So lets say that the total amount of data at the beginning of the cycle is equal to X.
We are told that the data has been used for 8 days at a daily rate of 1.5GB per day, so the total data already used will be "Days × Rate" => 8 × 1.5 = 12GB.
We are also made to know that after the 8 days we still have 6 GB left out of the initial amount X.
Let put all the above in an equation:
X - 12 = 6;
Using the approach of putting liked them together we will add 12 to both sides:
X -12 + 12 = 6 + 12 => X = 18;
So the amount at the beginning of the cycle is 18 GB.
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000?
Answer:
480 pennies dated after 2000.
Step-by-step explanation:
1. Pennies dated before 1980 (x) - 25%,
All pennies (1,200) - 100%.
Then
[tex]\dfrac{x}{1,200}=\dfrac{25}{100},\\ \\100x=25\cdot 1,200,\\ \\x=25\cdot 12=300.[/tex]
2. Pennies dated from 1980 to 2000 (y) - 35%,
All pennies (1,200) - 100%.
Then
[tex]\dfrac{y}{1,200}=\dfrac{35}{100},\\ \\100y=35\cdot 1,200,\\ \\y=35\cdot 12=420.[/tex]
3. Rest pennies are dated after 2000, then
[tex]1,200-300-420=480.[/tex]
Answer:
480
Step-by-step explanation: