Answer:
-r^4+3r^3-21r+49
Step-by-step explanation:
(−r2+3r+−7)(r2+−7)
=(−r^2)(r^2)+(−r^2)(−7)+(3r)(r^2)+(3r)(−7)+(−7)(r^2)+(−7)(−7)
=−r4+7r2+3r3−21r−7r2+49
=−r4+3r3−21r+49
The given polynomial in the standard form is -
- r⁴ + 3r³ - 21r + 49
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the following polynomial -
(- r² + 3r - 7)(r² - 7)
We can write the polynomial as -
(- r² + 3r - 7)(r² - 7)
Expanding, we get -
r²(- r² + 3r - 7) - 7(- r² + 3r - 7)
- r⁴ + 3r³ - 7r² + 7r² - 21r + 49
- r⁴ + 3r³ - 21r + 49
Therefore, the given polynomial in the standard form is -
- r⁴ + 3r³ - 21r + 49.
To solve more questions on functions, expressions and equation modelling, visit the link below -
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Select the values that make the inequality y≥2y≥2 true.
-6 -3 -1 1 1.9 1.99 1.999 2 2.001 2.01 2.1 3 5 7 10
9514 1404 393
Answer:
{2, 2.001, 2.01, 2.1, 3, 5, 7, 10}
Step-by-step explanation:
The symbol ≥ means "greater than or equal to", so any values 2 or greater will make the inequality true. From your list, those are ...
2 2.001 2.01 2.1 3 5 7 10
A group of students stood in a circle to play a game. The circle had a diameter of 11 meters. Which measurement is closest to the circumference of the circle in meters?
Answer:
Step-by-step explanation:
Given that :
Diameter of the circle = 11 cm
To obtain the Circumference ,C ; use the Relation :
2πr
Where ; r = Radius = diameter / 2 = 11/2 = 5.5m
C = 2 * 3.14 * 5.5
C = 34.54 m
Determine the end behaivor of the function
Answer:
IT'S (A)
Step-by-step explanation:
HOPE THIS HELP- PLEASE MAKE ME AS BRINLISIT
Evaluate the expression below when h = 5.5. If needed, answer as a fraction or a decimal.
7(h−3)+4h
Answer:
The correct answer is 39.5
WILL MARK YOU BRAINLIEST ANSWER AS MANY AS YOU CAN PLZ
Answer:
5) we have the equation:
180(n - 2)/n = 174
<=> n = 60
so the polygon have 60 sides
Andrew wants to run ten miles in three days .He ran 212 miles on Monday and 425 miles on Tuesday how many miles does Andrew need to run on Wednesday?
Answer: 3.63 miles
Step-by-step explanation: I think you meant to type 2.12 and 4.25 so I'm just going to go by that. To figure out how many more miles he needs to run, you add the amount he already ran together, and then subtract that from his goal. 4.25 plus 2.12 equals 6.37. 10 minus 6.37 equals 3.63. He needs to run 3.63 miles on Wednesday, in order to reach his goal of 10 miles.
Anna makes orange squash by mixing 50 ml of squash with 850 ml of water.
Jeevan makes orange squash by mixing 60 ml of squash with 1110 ml of water.
Whose squash is the stronger? Explain your answer
Every year Michelle and her mother attend the annual winter ice-skating show last year seating cost $72 per ticket. This year each ticket is 25% cheaper. what was the cost of each ticket this year?
Answer:
The answer is probably 54
Step-by-step explanation:
If you divide 72 divide 4 because 72 is 100 and 25 is 1 part then you get 54
I dont really get my explanation anymore
Answer:
The answer is $54
Step-by-step explanation:
First multiply 72 by 0.25 which is 18. Then take the 18 and subtract it from 72.
for
x < -2
f(x) =
-3x - 3
6x – 28
for
Find f(5)
Answer:
f(5) = 2
Step-by-step explanation:
To evaluate f(5), that is when x = 5 in the interval x ≥ 5
then
f(5) = 6x - 28 = 6(5) - 28 = 30 - 28 = 2, so
f(5) = 2
22 + 4 X 11
2. 26 +2 —
4 + 12
Answer:
304.28 is the answer you will get if you add all of that up
Last year Victoria paid £354 for her car insurance
This year she has to pay £329 for her car insurance.
Work out the percentage decrease in her car insurance.
Give your answer to 1 decimal place.
Answer:
the price decreased by 7.06 percent
Step-by-step explanation:
100/354x329=92.93785311
100-92.93785311=7.06
What is the scale factor?
what is the slope of the following line (2,2) (-2,-1)
Answer:
3/4
Step-by-step explanation:
(2,2) ; (-2,-1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-1-2}{-2-2}\\\\= \frac{-3}{-4}\\\\=\frac{3}{4}[/tex]
This one of the questions
Answer:
just get good
Step-by-step explanation:
and u should've paid attention during class
3x-2y=9
2x-2y=7
(by elimination method)
Four people each invested $450 in an account that earns simple interest assuming no other deposit or withdrawal were made witch investment earned more then $50
Answer: $250
Step-by-step explanation: Step 1: Multiply $50 by 4 Step 2: Subtract $450 by $250 Step 3: Then you get $200 leftover
PLZ HELP ITS DUE RIGHT NOW
3/2(2+4k)-7(2k-1) I need help with it step by step, please help
Answer:
10-8k
Step-by-step explanation:
Here, we want to open the brackets, then collect like terms
We have this by multiplying each of the terms outside by each of the terms inside the bracket before proceeding to collect like terms
We have this as;
(3 + 6k) -14k + 7
= 3 + 7 + 6k - 14k
= 10 - 8k
PLEASE HELP ASAP will mark brainliest
Answer:
300 nickels
Step-by-step explanation:
Reading the question, someone has 435 nickels and dimes.
The total is $28.50.
You're trying to find how many nickels he has.
All you need to do is set up a system of equations.
I'm going to use x as the number of nickels and y as the number of dimes.
Based on the question, you can say that
x + y = 435
(the number of nickels and dimes have t equal 435)
and 0.05x + 0.1y = $28.50
(nickels are 5 cents and dimes are 10 cents)
You want to solve for x, the number of nickels.
You can manipulate the first equation by subtracting x on both sides.
After you do that, you will get y = 435 - x. Now, you can substitute this equation into the second one.
First, you can distribute the 0.1.
0.05x + 0.1(435 - x) = 28.50
Then, you can put the two x's together.
0.05x + 43.5 -0.1x = 28.50
Next, you can subtract 43.5 on both sides to isolate x.
-0.05x + 43.5 = 28.50
Finally, you can divide on both sides to get x, which is the number of nickels.
-0.05x = - 15
x = 300 nickels
What is the equation of the line that passes through the point (5, -2) and has a slope of 6/5
Answer: y = (6/5)x-8
Slope = 6/5 = 1.2
Y intercept = -8
==================================================
Work Shown:
m = 6/5 = 1.2 is the given slope
(x,y) = (5,-2) is the point the line goes through
y = mx+b .... slope intercept form
y = 1.2x + b .... plug in the given slope
-2 = 1.2*5 + b ... plug in the coordinates of the given point
-2 = 6 + b
-2-6 = 6+b-6 .... subtracting 6 from both sides
-8 = b
b = -8
The equation y = mx+b turns into y = 1.2x-8
This is equivalent to y = (6/5)x-8
The scores of the first 6 competitors in a
contest have a mean of 28 points
When the 7th competitor is included the
mean decreases to 27 points.
How many points did the 7th competitor
score?
the Answer is -1 think
Set up an algebraic inequality, solve, and write a sentence answering the question. Jasmine has a goal to workout a total of at least 6 hours this week. Her workout sessions are always 3/4 an hour long. She already worked out for 1 1/2 hours. What is the minimum number of workout sessions she would need to complete in order to achieve her weekly goal?
Answer:
6 work out sessions
Step-by-step explanation:
From the above question, we know that:
Jasmine has a goal to workout a total of at least 6 hours this week.
Her workout sessions are always 3/4 an hour long.
Hence: Her total workout sessions
3/4 hour = 1 workout session
6 hours = x
Cross Multiply
3/4 × x = 6 × 1
x = 6/3/4
x = 6 ÷ 3/4
x = 6 × 4/3
x = 8 work out sessions
We are told that:
She already worked out for 1 1/2 hours.
Hence: if :
3/4 hour = 1 workout session
1 1/2 hours = x
Cross Multiply
3/4 × x = 1 1/2
x = 1 1/2 ÷ 3/4
x = 3/2 ÷ 3/4
x = 3/2 × 4/3
x = 2 work out sessions
Therefore:
the minimum number of workout sessions she would need to complete in order to achieve her weekly goal is calculated as:
8 work out sessions - 2 work out sessions
= 6 work out sessions
Converting this to workout sessions
I need help please i will give u brainly
Answer:
6.04 inches.
Step-by-step explanation:
Corbin want's to make a model, in which every 100 feet would be shown by 1 inch.
The monument is 604 feet in height.
Divide 604 with 100:
604/100 = 6.04
The height of Corbin's model would thereby be 6.04 inches.
~
Answer: 6.25 inches
Step-by-step explanation:
The 3 Rodgers sisters decided to pay off an old debt of $135.75 to their neighbor. If they all contribute the same amount of money, how much will each sister owe?
Describe the transformation from the parent function to the function g(x)=2 times 3^x-4
Answer:
Step-by-step explanation:
The parent function of g(x) = 2*3^x-4 would be 3^x
The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)
The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.
The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.
Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day. How far did he jog each day?
Answer:
He jogged 2.8 miles a day.
Step-by-step explanation:
Write an expression equivalent to (6y + 4y) - 2y by combining like terms
Find the slope of the line.
Answer:
D) -6/5
Step-by-step explanation:
A single batch of cookies requires two cups of sugar and three cups of flour. If more than one batch or a partial batch was made, the unit rate of sugar to flour would remain the same.
Match the correct amount of sugar to the correct amount of flour to keep the same unit rate of sugar and flour in a single batch.
11.25 cups of flour
8 cups of sugar
7.5 cups of flour
11.5 cups of flour
6.75 cups of flour
12 cups of flour
4.5 cups of sugar
7.5 cups of sugar
4 cups of sugar
5 cups of sugar
PUT IN ORDER
Step-by-step explanation:
4 cup of sugar = 6 cup of flour
4.5 cup of sugar = 6.75 cup of flour
5 cup of sugar = 7.5 cup of flour
7.5 cup of sugar = 11.25 cup of flour
8 cup of sugar = 12cup of flour
hope it helps you
Answer:
I hope the above pic will help you
I will always help you understanding your assingments
enjoy your day
#Captainpower:)
Find the slope and the y-intercept of the graph of y-2=-3/4x
.
Answer:
y-intercept= (8/3,0)
slope= -3/4
Step-by-step explanation:
