Answer:
30000000000000000.. ....
Find the remainder when f(x) is divided by g(x) given that f(x) = 4x3 − 5x2 − 3x + 2 and g(x) = x − 3.
Given:
[tex]f(x)=4x^3-5x^2-3x+2[/tex]
[tex]g(x)=x-3[/tex]
To find:
The remainder when f(x) is divided by g(x).
Solution:
According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).
Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).
Substitute x=3 in f(x).
[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]
[tex]f(3)=4(27)-5(9)-9+2[/tex]
[tex]f(3)=108-45-7[/tex]
[tex]f(3)=56[/tex]
Therefore, the required remainder is 56.
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STEP BY STEP EXPLANATION:
drops
A grocery store sells cheese for $0.48 a pound. What would be the price for 6 pounds of cheese?
Answer:
$2.88
Step-by-step explanation:
0.48×6=2.88
os the right answer
The graph below shows the amount of money Janet earned at her new job.
Janet's Earnings
у
80
70
60
50
Money Earned ($)
40
30
20
10
0
2 4 6 8 10 12 14 16
Hours Worked
How much does Janet earn per hour?
Answer:
b
Step-by-step explanation:
The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 4 , 30 )
Let the second point be Q ( 8 , 60 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = amount of money Janet earns per hour
So , slope m = ( 60 - 30 ) / ( 8 - 4 )
On simplifying , we get
The amount of money Janet earns per hour = 30/4
The amount of money Janet earns per hour = $ 7.50
Hence , the amount of money Janet earns = slope = $ 7.50
To learn more about equation of line click :
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escribe el número igaul a 5 decenas y 13 unidades
Answer:
63
Step-by-step explanation:
grrrrrr please help i’ll give u a cookie :)
im only in 6th grade
Step-by-step explanation:
Write the rational number as a decimal -4 2/3
- 4.(6)
Step-by-step explanation:Hi there !
- 4 2/3 =
= - 4 6/9
= - 4.(6)
Good luck !
Christopher wanted to save some money. After 4 weeks, Christopher $50, and after 9 weeks, he saved $100. What was the average amount Christopher saved per week? * A.5 B.50 C.12.5 D.10
Step-by-step explanation:
I think 12.5 is the answer
6m + 4n + 3m - 6
What are the terms? Separate them with a comma.
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
Between which pair of numbers is the of exact product
379 and 8
Answer:
3032
Step-by-step explanation:
379 x 8 = 3032
use math, also box method
Can you have say from us the aks place
If paper clips are 7/8 of an inch long and cost $0.02 to make, how much would it cost to produce enough paper clips to make a line, end to end, that stretches 56 inches?
Answer:
$1.12
Step-by-step explanation:
When you multiply 8/7 of 56, you get 64.
This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents
An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?
Answer:
There are 7 ten-dollar bills and 16 five-dollar bills.
Step-by-step explanation:
Let's call:
T: Number of ten-dollar bills
F: Number of five-dollar bills
The amount of money withdrawn from the ATM is $150:
10T+5F=150
Dividing by 5:
[tex]2T+F=30\qquad\qquad [1][/tex]
We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:
[tex]F=2+2T\qquad\qquad [2][/tex]
Substituting [2] into [1]:
2T+2T+2=30
Rearranging:
2T+2T=30-2
Simplifying:
4T=28
Solving:
T=28/4=7
From [2]:
F=2+2*7=2+14=16
There are 7 ten-dollar bills and 16 five-dollar bills.
What are the domain and range of the function?
f(x)=35x5
Answer:
Assuming that the question is
[tex]f(x)=\frac{3}{5x^5}[/tex]
The asnwer would be
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Step-by-step explanation:
The domain and range of the function are:
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Domain and Range of function
The domain are the input values for which a function exist while the range are output value for which the function exist.
Given the function:
g(x) = 35x^5
The function can exist on all real values since we will have a correspoding value of y for every value of x.
Hence the domain and range of the function are:
Domain: (- ∞,0) U (0, ∞)
Range: ( - ∞,0) U (0, ∞)
Learn more on domain and range here: https://brainly.com/question/2264373
Is 4.95 a terminating decimal
Answer:
Definitely
since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.
Step-by-step explanation:
When multiplying the factors 2/3 and 4/7 what is the product of the denominators
Answer:
21
Step-by-step explanation:
When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!
Answer:
21
Step-by-step explanation:
2/3+4/7= 8/21
the top number is the numerator and the bottom number is the denominator.
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
apply the distrubtive property to simply the expression -3(6x+ 2)
Answer: -18x-6
Step-by-step explanation:
You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).
-3 x 6 = -18
-3 x 2 = -6
(+ -6 can be written as -6)
1. Maya has 24 baseball cards, and her grandfather gives her 6 baseball cards per week for earning good grades. Her brother, Marcus, has 0 baseball cards, but his grandfather gives him 12 baseball cards per week. After how many weeks will Maya and Marcus have the same number of baseball cards?
Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
Answer:
A
Step-by-step explanation:
Got it right
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h. b How many minutes after the two cars start traveling will one car lap the other for the second time?
Answer:
200 minutes
Step-by-step explanation:
So we know that the speed is 92 km/h for the first car and 68 km/h for the second car. We do not know the time, but we do know that we need to convert it into minutes. The time for both cars would be x/60. Now we multiply speed by time and get distance. The first car would be 92 x/60 and the second would be 68 x/60, now we cross multiply and make an equation. 92x/60 - 68x/60 = 80, 24x = 80, x=200 minutes.
10
-25 please answer
Answer:
(-15)
Step-by-step explanation:
10-25 = (-15)
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pls help i have 2 minutes find length
Answer:
2.4 cm
Step-by-step explanation:
i hope that I helped you.
Express 610.47 in unit form.
Answer:
6 hundreds
1 tens
0 ones
4 tenths
7 hundredths
Calculate the area of the trapezoid.
12 mm
5 mm
9 mm
________square millimeters
Answer:
52.5 square millimeters.
Step-by-step explanation:
Area of a Trapezoid = (a+b/2)h
= (9+12/2)•5
=(21/2) • 5
= 10.5 • 5
= 52.5 square millimeters
hope this helps!
Answer:
52.5 mm^2 (square millimeters)
Step-by-step explanation:
Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)
Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).
The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).
Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.
Add both areas to find the total area:
45mm^2 + 7.5mm^2 = 52.5 mm^2.
____________________________
Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2
Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.
Given that our first base is 9, second base is 12, and our height is 5.
A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5
Then just put this quantity in mm^2 because it is the area of the figure in that unit.
→ 52.5 mm^2
_____________________________
the martin family‘s truck gets an average of 25 miles per gallon. Predict how many miles they can drive using 7 gallons of gas.
Answer:
175
Step-by-step explanation:
7 times 25=175
The quadratic function modeling the height of a ball over time is symmetric about the line , where t is time in seconds. Which statement is true about this situation?
A.
The height of the ball is the same after 1 second and 3 seconds.
B.
The height of the ball is the same after 0 seconds and 4 seconds.
C.
The height of the ball is the same after 0.5 second and 5.5 seconds.
D.
The height of the ball is the same after 1.5 seconds and 3.5 seconds.
Answer:
A. The height of the ball is the same after 1 second and 3 seconds.
Step-by-step explanation:
The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.
Factorise fully
10c + 25
Answer:
5(2c+5)
I hope this helps
The fastest doughnut machine can fry 9600 doughnuts per hour. Which is closest to the number
of doughnuts this machine can fry every second?
Answer:
9600/60 minutes = 9600/ 360 seconds = 26
Keep practicing :)
Step-by-step explanation:
Answer:
9.6
Step-by-step explanation:
The reason is because you divide this number by 1,000 which gives you 9.6
9600 divided by 1,000= 9.6