Answer: 12x^6y^3-28x^4y^5+8x^4y^4-4x^3y^4
Step-by-step explanation:
The requierd product of 4x³y³ and (3x³-7xy²+2xy-y) is:
12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
The monomial and the polynomial are given in the question, as follows:
4x³y³ × (3x³-7xy²+2xy-y)
To find the product of the monomial 4x³y³ and the polynomial (3x³-7xy²+2xy-y), we need to multiply each term in the polynomial by the monomial and then add the results.
(4x³y³) × (3x³) = 12x⁶y³
(4x³y³) × (-7xy²) = -28x⁴y⁵
(4x³y³) × (2xy) = 8x⁴y⁴
(4x³y³) × (-y) = -4x³y⁴
⇒ 12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
Therefore, the product of 4x³y³ and (3x³-7xy²+2xy-y) is:
12x⁶y³ - 28x⁴y⁵ + 8x⁴y⁴ - 4x³y⁴
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Convert 0.263 repeating (the 63 are repeating) into a fraction.
Answer:
[tex]\frac{29}{110}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 63 placed after the decimal point
let x = 0.2636363.... ( multiply both sides by 10 and 1000 )
10x = 2.6363... → (1)
1000x = 263.6363.... → (2)
Subtracting (1) from (2) eliminates the repeating value, that is
990x = 261 ( divide both sides by 990 )
x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form
The number n = 0.263 as a fraction is A = 263/999
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the number be represented as n = 0.263
Now , the Let x = 0.263636363 repeating
Multiply both sides by 1000 to move the decimal point to the right:
1000x = 263.636363 repeating
Subtract x from both sides:
999x = 263
Divide both sides by 999:
x = 263/999
Hence , 0.263636363 repeating is equivalent to the fraction 263/999
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What is the length of segment AB?
A) 2
B)2.5
C) 5
D) 10
Hi, please help me
c - 4d =
C= 10
D=2
It's algebra
Answer:
All you do is replace the variable with the numbers given to replace them.
So your new equation is 10-4(2) this was given to you C=10 , D=2
Okay, let's solve it 10-4(2)
4*2 equals 8 so now it's 10-8
10-8
= 2
5 3/13 rounded to the nearest whole number
Answer:
it should be 5
Step-by-step explanation:
3/13 is smaller than 5.5 which would round up to 6, therfore is should be 5
Answer:
37
Step-by-step explanation:
Please help a bruddah out its 8 pm and I'm grinding on schoolwork.
The cost of a hamburger is $1.15 more than an order of large fries bill bought two hamburger ms and an order of large fries for a total of $8.60 what is the price of each item
Answer:
The cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].
Step-by-step explanation:
Let the cost of an order of large fries be [tex]\$ x[/tex].
Then, the cost of a hamburger is [tex]\$ x+\$1.15[/tex].
Bill bought two hamburgers and an order of large fries for a total of [tex]\$ 8.60[/tex].
So, [tex]2(x+1.15)+x=8.60[/tex]
[tex]\Rightarrow 2x+2.30+x=8.60[/tex]
[tex]\Rightarrow 3x=8.60-2.30[/tex]
[tex]\Rightarrow 3x=6.30[/tex]
[tex]\Rightarrow x=\frac{6.30}{3}[/tex]
[tex]\Rightarrow x=2.10[/tex]
So, the cost of an order of large fries is [tex]\$ 2.10[/tex].
And, the cost of a hamburger is [tex]\$2.10+\$1.15=\$3.25[/tex].
Hence, the cost of an order of large fries is [tex]\$ 2.10[/tex] and the cost of a hamburger is [tex]\$3.25[/tex].
2. The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers aj set up the variables (2 marks) Let Then represent the first number will represent the second number b) What is the equation that represents the above situation? (2 marks) c) Solve the equation. (2 marks)
Answer:
Larger number = 34
Smaller number = 17
Step-by-step explanation:
Given that:
Sum of numbers = 51
Let,
x be the larger number
y be the smaller number
According to given statement;
x+y=51 Eqn 1
x = 2y Eqn 2
Putting x=2y in Eqn 1
2y+y=51
3y=51
Dividing both sides by 3
[tex]\frac{3y}{3}=\frac{51}{3}\\y=17[/tex]
Putting y=17 in Eqn 2
x=2(17)
x=34
Hence,
Larger number = 34
Smaller number = 17
Work out the percentage change when a price of £400 is decreased to £225
Answer:
1.77%.Step-by-step explanation:
The answer is 1.77%.
HOPE THIS IS CORRECT AND HELPS YOU!!!
Answer:
1.75%
Step-by-step explanation:
1.75%is correct answer
Rewrite the following sentence as an equation.
The product of three and the sum of a number and
two is zero.
Answer:
3(2+x)=0
Step-by-step explanation:
Here are some vocab words:
Product: Multiplication
Sum: Addition
"A number": x
3(2+x)=0
Can someone tell me what the answer is and how u solve it?
Answer:
y-6=-2(x-6)
y-6=-2x+12
y= -2x+6
6 is the line crossing on the y axis (B from y=mx+b)
and -2/1 is slope so 2 below and 1 right HOPE THIS HELPED
Step-by-step explanation: (IDC ABOUT THE THINGY HERE :D)
Can you help with both questions please :)
Answer:
X(4x+x^2)
Step-by-step explanation:
First the LCM is x
Now just distribute
Help please, will mark you brainliest (Only if the answer is correct)
Answer:take numbers first, the Lcm is 24
Consider x, the highest power is 2
y, the highest power is 3
and z has 2 as its highest power.
:. The lcm is 24 x^2y^3z^2
Step-by-step explanation:
Answer:
this is me with another account, adding another anser just to mark you brainliest lol
Step-by-step explanation:
Ivan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?
Answer:
If they are divisible by 2
Step-by-step explanation:
:))
like ex.
2 4 6 8 10 12
Simplify
2x + x + x + 2y x 3yx y
Answer ?
Answer:
4x + 6y ...y cube
like y square y cube y3
Answer:
4x + 6y^3
Step-by-step explanation:
2x + x +x + 2y x 3y x y
4x + 6y^3
Lucy has a variety of socks in her laundry basket. Without looking, she selects one sock, then
a second.
Are these two events dependent or independent?
Answer:
This is dependent because it depends what sock she picked out first. It would be independent if she put the pulled out sock back into the container
Simplify the Expression
Answer:
[tex]125a^{3}b^{2}[/tex]
Step-by-step explanation:
() = 5
3 + 2
2 + − 2; = −1
A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Answer:
a.The value of the van decreases by 20% each year since its purchase.
b.The value of the van decreases by 80% each year since its purchase.
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Step-by-step explanation:
From the above question, we are given the Exponential function
V(t)=10,000(0.8)^t
Verifying the given options:
a.The value of the van decreases by 20% each year since its purchase.
Option a is correct , this is because, the Exponential function above is and Exponential Decrease.
The formula is given as:
V(t) = 10000(1 - r) ^t
Where r = Decreasing rate
Comparing
= 1 - r = 0.8
= 1 - 0.8 = r
r = 0.2
Converting to percentage
= 0.2 × 100 = 20%
Option a is correct
b.The value of the van decreases by 80% each year since its purchase.
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option b is correct
c.The value of the van decreases by $2,000 each year since its purchase.
Option C is incorrect
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Option d is correct because
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option d is correct
e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Option e is incorrect
From the options given in the question, the correct statements are,
Options a, b, and d.
Pls help it due ASAP and show workings
Answer:
it's 70°
Step-by-step explanation:
well first by vertical angles we know that
[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)
and given we know that
[tex]\angle EAF = \angle EAD = 4x+6[/tex]
solving for x
we know that
[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]
and now for [tex]\angle EAF[/tex]
[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer: 3/16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Jessica deposited $5000 in a simple interest account 4 years ago. She has earned $680 in interest so far. What is the interest rate for this account?
Answer:
$170
Step-by-step explanation:
every year she got $170 interested
Need help on this please and thank you
Answer:
(1,9)
Step-by-step explanation:
A museum recorded that it had 988 visitors in 4 hours. What is the unit rate in visitors per hour?
A.). 222
B.) 247
C.). 249
D.). 262
5,423,000 divided by 100,000 ( Please help ASAP)
Answer:
54.23
Step-by-step explanation:
i just divided in calculator
ASAp question in pic
Answer:
B and E
Step-by-step explanation:
They have different slopes so of course they will have to intersect at least 1 time. And if they were curved, it would be more than 1. But these are lines so it would be just 1 intersection. So B is one of the answers.
The solutions of the system are x = 0 and y = 2
I hope this helped, please mark me brainliest!
Step-by-step explanation:
y = 2x + 2 and y = 6x + 2
=> 2x + 2 = 6x + 2
=> 2x = 6x
=> 4x = 0, x = 0.
Therefore y = 2(0) + 2 = 2.
The point of intersection is (0, 2).
Hence there is exactly 1 point of intersection and exactly 1 real solution. (B and E)
On a long hike, Greg forgets to fill his canteen. Fortunately, Harold has 40 ounces of water and jake has 60 ounces. The three hikers share water so that each gets an equal amount. At the end of the hike, Greg gives Harold and Jake $5 to split for the water they gave him. How much should Harold and Jake get?
Answer:
Jake should get $3 because he would have given more water since he had the most out of all of them. Harold should get $2 because he gave less water
Step-by-step explanation:
The amount that Harold and Jake will get is $2 and $3, respectively.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Harold has 40 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,
Amount of water = Total water / Number of persons
= 40 ounces of water / 3 person
= (40/3) ounces per person
Thus, Greg will get (40/3) ounces of water from Harold.
Similarly, Jake has 60 ounces of water, which is needed to be shared among the three, therefore, the amount of water that each of the three will get is,
Amount of water = Total water / Number of persons
= 60 ounces of water / 3 person
= (60/3) ounces per person
Thus, Greg will get (60/3) ounces of water from Harold.
Further, Harold and Jake will get the money in the ratio of the amount of water they shared, therefore, we can write,
(40/3)x + (60/3)x = $5
(40x + 60x)/3 = 5
100x = 5 × 3
x = 15/100
Furthermore, the money each of two will get is,
Amount that Harold will get,
(40/3)x
= (40/3) × (15/100)
= $2
Amount that Jake will get,
(60/3)x
= (60/3) × (15/100)
= $3
Hence, the amount that Harold and Jake will get is $2 and $3, respectively.
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What is the value of |a-b|?
Answer:
|3+2|=5
Step-by-step explanation:
2x+1=5
2x+=-5
x=2
x=-3
a= -3, b=2
Bagels at Walmart are 4 bagels for $3.00. What is the unit rate?
Answer:
0.75 per bagel
Step-by-step explanation:
$3.00 divided by 4 bagels is 0.75 cents for a bagel
proof im actually 15 ANNIE
Answer:
.
Step-by-step explanation:
Answer:
????
Step-by-step explanation:
lol can I pls get brainliest
Simplify the numerical expression (15 - 3) x 2 + 10
Answer:
34
Step-by-step explanation:
Using PEMDAS (parentheses, exponent, multiplication, division, addition, subtraction), we solve what's in the parentheses first, so the expression looks like: 12 x 2 +10.
Then since there aren't any exponents, we solve the multiplication problem in the expression: 24 + 10.
Which just leaves addition, which gives us our answer: 34
Hope this helps!