Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:
[tex]\ \ \ \ \ \ \ \ \ \ 3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\ \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R[/tex]
That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
help me please I need help
Margo is repaying a loan from her parents.she has already paid $315 and still owes them $1245. Write an equation to find the original amount a of the loan.
The original amount of the loan of Margo is $1560.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the original amount is x
Given that,
She has already paid $315 and still owes them $1245.
So,
x - 315 = 1245
x = 1560.
Hence "The original amount of the loan of Margo is $1560".
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Please help!
I really need it asap
plz help me brainless
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
Given function:
3/4 take away 2/4Subtract the two fraction:
[tex]\frac{3}{4}-\frac{2}{4}=\frac{1}{4}[/tex]Therefore, the fraction that is left would be 1/4..
HELP ASAP PLS ME AND MY TEACHER ARE ON A 1 ON 1 CALL
MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:
Cheapstore= 600g 20% off the normal price of £5 Superstore= 600g plus extra 30% extra £5 which box of ceral has better value?
Answer:
The one from superstore
Step-by-step explanation:
We are to find the box if cereal that gives us the best value for our money.
We first calculate for cheapstore
We have 500 pounds divide through by 10 = 50p
Multiply 50 with 2
= 100p
= 1 pound
4 pounds = 600 grams
For superstore
Divide 600 g by 10
= 60g
Multiply with 3
= 60g x 3
= 180g
600+180 = 780grams
600grams/4pounds = 150g
780grams / 5 pounds = 156gtams
From here we concise that superstore box has best value
please help PLEASE WILL GIVE BRAINS
A fan has five equally spaced blades. Suppose you line up two fans directly on top of each other. What is the least number of degrees that you can rotate the top fan so that the two fans are perfectly aligned again?
A fan has 5 equally spaced blades.
A. 120°
B. 60°
C. 90°
D. 72°
help i don't know what to do plz helppp
Answer:
-9 degrees celcius
Step-by-step explanation:
(-3) - 6 = -9
a wedding planner accounts for 8 chairs at every round table. how many tables will be needed to seat 175 people?
Answer:
21.875
Step-by-step explanation:
you do 175 divided by 8
The required number of tables to seat 175 people are 22.
What is division?Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.
it is given that,
Number of chairs for 1 table = 8
Number of people to seat = 175
Therefore chairs = 175
Since 8 chairs are required at every round table
Therefore,
Number of tables to seat 175 people = Number of people to seat/Number of chairs for 1 table
⇒ Number of tables to seat 175 people = 175/8
⇒ Number of tables to seat 175 people = 21.87 ≈ 22 tables
Thus, the required number of tables to seat 175 people are 22.
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Mariel deposited ₱6,500.00 in an account that offers 5% interest compounded semi-annually. How much money is in his account at the end of five years?
Answer:
The amount is 8,322
Step-by-step explanation:
To get this , we are going to use the compound interest formula
A = P( 1 + r/n)^nt
A is the amount we are calculating
P is the amount deposited = 6,500
r is the interest rate = 5% = 5/100 = 0.05
n is the number of times per year the interest is compounded
= 2 since it is semi-annually
t is the number of years = 5
Substituting these values, we have it that ;
A = 6,500(1 + 0.05/2)^10
A = 6,500(1.025)^10
A = 8,322
Please help and I please don't answer just for the points I'll report you
Answer:
x=1
y=1
Step-by-step explanation:
y=x^2-x+1 1. Write out the equation
y=y^2-y+1 2. Substitute the "x"s for "y"s
0=y^2-2y+1 3. Subtract "y" from both sides of the equation
0=(y-1)(y-1) 4. Factor into a binomial
y-1=0
y=1
x=1
SOMEONE PLZ HELP!!
Round answer to the nearest hundredth
Answer:
17 i think
Step-by-step explanation:
The diameter of a circle is 18 m. Find its area in terms of \piπ.
Answer:A≈254.47m²
Step-by-step explanation:
Step-by-step explanation:
A=pi(r^
[tex]\pi {r}^{2} \\ \\ diameter \: is \: 18 \: meters \\ to \: find \: the \: radius \\ divide \: diameter \: by \: 2 \\ since \: the \: radius \: is \: \\ half \: the \: diameter18 \div 2 = 9 \: meters \\ \\ \pi {r}^{2} \\ \pi( {9}^{2} ) \\ \pi(81) \\ \\ area = 81\pi[/tex]
4) Select one of your desserts.
Desserte ice cream Price: 3.00
This dessert hasn't been selling well so.
you have decided to decrease the price
by $0.50. What is the percent of
change?
Answer:
Step-by-step explanation:
see calculate bro 3 = 100%
1.5 is 50%
0.50 is then 25%
Eva has 4 apples she cuts each apple in ⅓ and shares it with 3 friends how many slices does each friend get?
Answer:
4
Step-by-step explanation:
one apple is cut into 3 pieces
Number of apples = 4
Number of apple pieces = 4 * 3 = 12 pieces
Number of piece that each friend get = 12 ÷ 3 = 4
Use the Distributive Property to simplify the expression. PLS HURRRY I GIVE BRAINLEST AWNSER
11(4b-3)
Answer:
Step-by-step explanation:
44b-33
A student bakes a cake she adds 120 grams of flour , 120 grams to egg, 80 grams of sugar,75 grams of vegetable oil and 100 grams of water to a bowl she mixes the ingredients, adds the mixture to a pan and bakes her cake what should the mass of her cake be?
Answer:
Her cake should be 495 grams
what is 89 times 7.
.
Answer:
623.
Step-by-step explanation:
Answer:
i am sure that the answer is 623
What is the measure of arc RS?
A. 180 degrees
B. 238 degrees
C. 122 degrees
D. 58 degrees
3/7
of a group of students
are boys. What would be a
Possible ratio of boys to
girls?
Answer:
12:28
Step-by-step explanation:
its just like fractions if the fraction is 3/7 you can turn it into whatever you want
PLEASE HELP ME SOLVE THIS!
GIVING ALL MY POINTS!
The cafeteria worker has 5 quarts of orange juice to fill some empty glasses. The worker fills each glass with 1/6 quart of orangeThe cafeteria worker has 5 quarts of orange juice to fill some empty glasses. The worker fills each glass with 1/6 quart of orange
Answer:
Step-by-step explanation:
3/4 divided by 3/16 (Give me a minute to work it out)
ummmm........... 48/12 so 4
HELPPPPPP
MEEEE PLEASE
Answer:
yse
Step-by-step explanation:
bakit ano ang maitotolong
If you spent 58 minutes doing English homework and 47 minutes doing math homework how much more time did you need to spend doing English homework?
Answer:
58 minutes
Step-by-step explanation:
Please brainliest me
There are 11 minutes more time to spend doing English homework.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
If you spent 58 minutes doing English homework and 47 minutes doing math homework.
Now,
Since, The time for doing English homework = 58 minutes
And, The time for doing Math homework = 47 minutes
So, The time more to spend doing English homework = 58 - 47
= 11 minutes
Thus, There are 11 minutes more time to spend doing English homework.
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I need to know how to find the measure of angle a.
Answer:
90°
Step-by-step explanation:
We need expressions for the measures of the three interior angles. Then we add them and set the sum equal to 180. Then we solve for x. Finally, we use the value of x in x + 100 to find the measure of angle A.
Let's first find an expression for each angle.
Angle A: m<A = x + 100
Bottom left angle: The interior angle is vertical to the angle measuring x + 60, so the interior angle also measures x + 60.
Bottom right angle: Let's call the measure of the interior angle y. y and the angle measuring 140° are supplementary, so y + 140 = 180; y = 40.
Now that we have expressions for the three interior angle measures, we add them and set the equal to 180.
(x + 100) + (x + 60) + 40 = 180
x + 100 + x + 60 + 40 = 180
2x + 200 = 180
2x = -20
x = -10
The measure of angle A is x + 100, and x = -10
m<A = x + 100 = -10 + 100 = 90
Answer: 90°
Anyone mind helping ?
NEED HELP PLEASE as soon as possible!!!
Which decimal is closest in value to the fraction below?
1/3
A 0.75
B.0.3333
C. 0.6
Answer:
b 0.33333333333333333
The population of rabbits in an area can be modeled with an exponential function. In the first count, there are 250 rabbits. One year later, there were 325. This trend continues for five years. What is a reasonable estimate for the number of rabbits five years after the first count?
A 550 rabbits
B 625 rabbits
C 714 rabbits
D 928 rabbits
The temperature on Sunday was -20 degrees. The temperature on Monday was 14 degrees less than the temperature on Sunday. What was the temperature on Monday?
Which of the following equations best verifies the reasonableness of the solution for
log, 128 = x?
The equations best verifies the reasonableness of the solution will be log₃ 2187 = 7 and log₃ (3⁷) = 7. Then the correct options are A and E.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The equation is given below.
log₃ x = 7
Take anti-log on both side, then we have
x = 3⁷
x = 2187
Then the equation is satisfied by 2187. Then we have
log₃ 2187 = 7
log₃ (3⁷) = 7
Then the correct options are A and E.
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