Step-by-step explanation:
The price of machine=$50000
depreciates rate (R )=1/4×100%
=25%
How to synthetically divide polynomials.
Answer:
Write down the problem. For this example, you will be dividing x3 + 2x2 - 4x + 8 by x + 2. Write the first polynomial equation, the dividend, in the numerator and write the second equation, the divisor, in the denominator.
Reverse the sign of the constant in the divisor. The constant in the divisor, x + 2, is positive 2, so reversing the sign of the constant would give you -2.
Since the opposite of the constant term is -2, we put the -2 inside a box. A common mistake is to put a 2 inside the box, watch out here.
Write all of the coefficients of the dividend inside the division symbol. [2] Write the terms from left to right, just as they appear. It should look like this: -2| 1 2 -4 8.
Bring down the first coefficient. Bring down the first coefficient, 1, below itself. It should look like this:
-2| 1 2 -4 8
↓
1
Multiply the first coefficient by the divisor and place it under the second coefficient.[3] Simply multiply 1 by -2 to get -2 and write this product under the second term, 2. Here's how it would look:
-2| 1 2 -4 8
-2
1
Add the second coefficient and the product and write the answer below the product. Now take the second coefficient, 2, and add it to -2. The result is 0. Write this result below the two numbers, just as you would in long division. Here's how it would look:
-2| 1 2 -4 8
-2
1 0
Multiply this sum by the divisor and place the result under the third coefficient. Now take the sum, 0, and multiply it by the divisor, -2. The result is 0. Place this number below 4, the third coefficient. It should look like this:
-2| 1 2 -4 8
-2 0
1
Add the product and the third coefficient and write the result under the product. Add 0 and -4 to get -4 and write this answer below the 0. Here's how it would look:
-2| 1 2 -4 8
-2 0
1 0 -4
Multiply this number by the divisor, write it under the last coefficient, and add it to the coefficient. Now, multiply -4 by -2 to get 8, write this answer under the fourth coefficient, 8, and add this answer to the fourth coefficient. 8 + 8 = 16, so this is your remainder. Write this number below the product. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
Place each of the new coefficients next to a variable of one less power than their original corresponding variables. In this case, the first sum, 1, is placed next to an x to the second power (one less than three). The second sum, 0, is placed next to an x, but the result is zero, so you can remove this term. And the third coefficient, -4, becomes a constant, a number without a variable, since the original variable was x. You can write an R next to the 16, because that is the remainder. Here's how it would look:
-2| 1 2 -4 8
-2 0 8
1 0 -4 |16
x2 + 0x - 4 R 16
x2 - 4 R16
Write the final answer. The final answer is the new polynomial, x2 - 4, plus the remainder, 16, over the original divisor, x + 2. Here's how it would look: x2 - 4 +16/(x +2).
Step-by-step explanation:
That was quite long, but those are the steps to synthetically divide polynomials.
John earned $12 a day for babysitting his siblings after school each weekday (he did not babysit on weekends). He liked to have a small amount of money to spend on treats at the school canteen that his parents refuse to buy, but he also wanted to build up some savings. John decided to put a fraction of his earnings into a jar straight away. He spent all the rest on canteen treats.
How much money did John earn over a nine week term?
After 9 weeks, John had $378 in his jar. What percentage of his money did he save?
Answer:
He earns $540
70% of his money went to savings
Step-by-step explanation:
9 weeks x 5 days a week = 45 days
45 days x $12 a day = $540
378 * 100 / 540 = (378*100) / 540 = 37800/540 = %70
What series of transformation will not map figure H onto itself
Answer:
D
Step-by-step explanation:
Given a square with vertices at points (2,1), (1,2), (2,3) and (3,2)
Consider option D.
1st transformation will map vertices of the square into points
....2nd transformation = reflection over y = -x + 2 will map vertices into points ....These points are not the vertices of the initial square.
I hope it helps.
You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need?
Check the number or numbers that are in the solution set of the equation
below.
7x > 42
A. 14
B. 5
C.35
D. 6
E. 12
F9
Answer:
A, C, E, F
Step-by-step explanation:
when you multiply the numbers with 7 the answer is greater than 42
Help please ASAP !
y=1/2x-4 in Standard Form
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
Tommy and his friend went to go buy pie at Delicious Orchards. After paying seven dollars for the pie, Tommy
has ninety-five dollars left, his friend has forty dollars. How much money did Tommy have before buying the
ple.
Answer:
$102
Step-by-step explanation:
if Tommy spent 7 dollars on pie, that means he had more money than that amount before.
So before he spent 7 dollars, he had those 7 dollars.
Add 7 with 95
95 + 7 = 102
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
Answer:
(-4, 3)
Step-by-step explanation:
You have to go -4 on the x-axis, and +3 on the y-axis
[tex]\sqrt{17} \times \sqrt{17}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent value is ~
[tex] \boxed{17}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex] \sqrt{17} \times \sqrt{17} [/tex][tex]( \sqrt{17}) {}^{2} [/tex][tex]{(17 {}^{ \frac{1}{2}}) }^{2} [/tex][tex]17[/tex]A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer: 2,435
Step-by-step explanation:
trust
What is the y intersect. Pls help
Answer:
total shipping cost
Step-by-step explanation:
Ten less than the product of a number and 45.
Answer:
45*x-10
Step-by-step explanation:
10 less than a number would give you
x - 10
and the product of a number means your multiplying and your multiplying 45 so you would get
45*x
add them together and you get
45*x-10
5^-15 rewritten using a positive exponent.
Answer: 1/5 to the power of 15
Answer Please will give brainliest.
Step-by-step explanation:
blue is natural: 1, 4, 0, 2 and root of 25.
green is whole: -9 and -15.
yellow is rational: 2/3
orange is irrational: pi and root of 15.
white is real numbers.
don't know about that purple one.
Polly buys 6.8 yards of fabric for $28.90. What is the cost per yard?
Please help? :)
Answer:
Polly has to pay $0.24 per yard of fabric.
Step-by-step explanation:
You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.
Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE
Answer:a
Step-by-step explanation:
i know
Jada, Elena, Lin walked a total of 37 miles last week. Jada walke 4 miles in Elena, and Lin walked 2 more miles than Jada.
Click on picture for more info :333
I AM BEING NICE TODAY. DONT I REPEAT DONT TAKE THE POINTS AND ANSWER A NONSENSICAL ANSWER. THIS WILL END UP IN AN REPORT LIKE BIG TIME >:<
I AM GIVING 100 POINTS AND BRAINLIEST. PRIZE GOES TO ONE WHO ANSWER FIRST AND CORRECTLY.
ATQ
[tex]\\ \sf\longmapsto m+m+4+m+6=37[/tex]
[tex]\\ \sf\longmapsto 3m+10=37[/tex]
[tex]\\ \sf\longmapsto 3m=27[/tex]
[tex]\\ \sf\longmapsto m=9[/tex]
Elena=9miJade=13miLin=15miA glue company needs to make some glue that it can sell for $120 per barrel. It wants to use 150 barrels of glue worth $100 per barrel, along with some glue worth $150 per barrel and glue worth $190 per barrel. It must use the same number of barrels of $150 and S190 glue. How much of the $150 and $190 glue will be needed? How many barrels of $120 glue will be produced
Please help me solve this... I will mark you brainliest if it’s correct
Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?
Answer:
37/40
Step-by-step explanation:
3/8 7/10
80/40 - 15/40 - 28/40 = 37/40
two whole shampoo - uses at home - uses on holiday = left
can someone help me plsss
Answer:
c=23/24
Step-by-step explanation:
c+3/8=1/1/3
c+3/8=4/3
c+9/24=32/24
c=32/24-9/24
=23/24
Determine the domain of each graph:
Answer:
The 1st
Domain is (1,-3)
The second
Domain is (R)
The 3rd
Domain = (R)
The 4th
Domain =(-1,+infinity )
Respectively
i need help fast please
Solve this and show steps
4.5×8-(0.4+9.6-(3.6-1.8))
Answer:
27.8
Step-by-step explanation:
You need to do brackets first
3.6-1.8 = 1.8
Then substitute
4.5 x 8- (0.4 + 9.6- 1.8)
0.4+9.6-1.8=8.2
4.5 x 8 - 8.2 =27.8
PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
3/2
Step-by-step explanation:
Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...
(4, 1) and (6, 4)
The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:
slope = "rise"/"run" = 3/2
The slope of the graphed line is 3/2.
solve the equation.
[tex]\sqrt{x(x+2)} = 0[/tex]
[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]
ok done. Thank to me :>
PLEASE HELP I WILL GIVE BRAINLIST IF ITS RIGHT
Jessica plants a seed 3 1/2
inches below the ground. The plant grows from there 15 3/4
inches. What is the height of the plant above the ground?
12 1/4 inches
19 3/4 inches
18 2/3 inches
13 1/2 inches
Answer:
49/4 inches
Step-by-step explanation:
Inches below ground= 3 1/2 inches
Plant's full height=15 3/4 inches
Height above ground = 15 3/4 inches -3 1/2 inches
63/4 - 7/2
63-14/4
49/4 inches
Answer:
[tex]12^1/_4[/tex] [tex]inches[/tex]
Step-by-step explanation:
We can make this an equation
[tex]-3 ^1/_{2}+15^3/_4[/tex]
We can make them the same denominator by looking for the GCF which we get as 2
Now we have
[tex]-3 ^2/_{4}+15^3/_4[/tex]
Do the equation and we get
[tex]12 ^1/_4[/tex] [tex]inches[/tex] as our answer
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
4th option
Step-by-step explanation:
(4)/(12)= ()/(3) what makes this equivalent
Answer:
1/3
Step-by-step explanation:
4/12 divide by 4 to the top and bottom you get 1/3
[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]
You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)
Up River:
ft:
min
Down River:
ft:
min
You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.
The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,
28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.
423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.
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