Answer:
A
Step-by-step explanation:
Notice: The literal factors are all the combinations of a and b where the sum of the exponents is 4: a4, a3b, a2b2, ab3, b4.
The degree of each term is 4.
The first term is actually a4b0, which is a4 · 1.
Thus to "expand" (a + b)5, we would anticipate the following terms, in which the sum of all the exponents is 5:
(a + b)5 = ? a5 + ? a4b + ? a3b2 + ? a2b3 + ? ab4 + ? b5
The question is, What are the coefficients?
They are called the binomial coefficients. In the expansion of
(a + b)4, the binomial coefficients are
1 4 6 4 1
The coefficients in the expansion are 1, 4, 6, 4, 1.
What is Binomial Expansion?The sum of exponents of x and y is always n. The binomial coefficients which are equidistant from the beginning and from the ending are equal i.e. [tex]^nC_0[/tex]= [tex]^nC_n[/tex], [tex]^nC_1[/tex]= [tex]^nC_{n-1}[/tex], [tex]^nC_2[/tex]= [tex]^nC_{n-2}[/tex] ,….. etc.
The expansion of [tex](x+ y)^4[/tex]
= [tex]x^4[/tex] + 4x³y + 6x²y² + 4xy³ + [tex]y^4[/tex]
So, the highest degree is 4.
and, The literal factors are all the combinations are [tex]x^4[/tex], 4x³y, 6x²y², 4xy³,[tex]y^4[/tex]
Hence, the coefficients in the expansion are 1, 4, 6, 4, 1.
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2. Use the Remainder Theorem to evaluate the given polynomial when x = 2.
f(x) = 3x4-5x3- 7x +12
Answer:
The answer is x= 9 over 7 or 9/7 :)!
Step-by-step explanation:
The function C(x)=25x +2,500 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $75
Answer:
More than 50 items
Step-by-step explanation:
Answer:
there are more than 50 items
Step-by-step explanation:
A sample is taken from all college freshmen Right-handed students areexcluded. What is this an example of?
A Response bias
B. Selection bias
C. Nonselection bias
D. Nonresponse bias
Answer: it’s selection bias
Step-by-step explanation:
5 times a number is 6 less than the square of that number
Answer:
5x = x^2 - 6
Step-by-step explanation:
a number can be represented by x,
5 times a number can be represented as the product of 5 and x, 6 less than the square of that number tells us that this is equal to a number squared minus 6. is tells us that these two expressions are equal.
If you want a working number, just solve by completing the square once this is in standard form. This is then converted to vertex form.
x^2-5x-6 = (x-5/2)^2-49/4 = (x^2-5x+25/4) -49/4 = x^2-5x-6.
(x-5/2)^2-49/4=0
(x-5/2)^2=49/4
(x-5/2) = ±√49/4
(x-5/2) = ±7/2
x=5/2±7/2
x=(5±7)/2
x=12/2,-2/2
x=6,-1
Thus, the number can either be 6 or -1.
Mr. Nell is painting his coffee table. The micture that he adds to the paint is made of 5/6 cup
baking soda for every 5 tablespoons of water.
What is the rate in cups of baking soda per tablespoon of water?
Answer:
1/6 cups
Step-by-step explanation:
5/6 /5 = 5/6 divided by 5
= 5/6 x 1/5
= 1/6
so your answer is 1/6 cups of baking soda per tablespoon of water
yw ;)
The rate for cups of baking soda per tablespoon of water is 1/6.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mixture that he adds to the paint is made of 5/6 cup baking soda for every 5 tablespoons of water.
Hence, The rate for cups of baking soda per tablespoon of water is,
⇒ 5/6 ÷ 5
⇒ 5/6 × 1/5
⇒ 1/6
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distance from (-2,3) to (3,-3)
Answer:
(5,-3)
Step-by-step explanation:
Exact form is the square root of 61. The decimal form is 7.81025
26 people got off a boat 22 people got on now there's 74 people on the boat how many were on the boat to begin with
Answer:
Step-by-step explanation:
there were 78 people all together because 74-22=52 because it was 52 people altogether after the 26 got off and the 22 got on so 52+26=78 so THE ANSWER IS 78
I will give you branilest
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
a. How many packets would be needed to transmit 30,000 bytes of information?
Answer:
20
Step-by-step explanation:
If you have 1,500 per package and you need to find how many you will need to get 30,000 all you have to do is divide 30,000 by 1,500 and you get 20 packages. So the final equation would be 30,000=1500(20)
HOPE THIS HELPS!
Answer:20 Packets
Step-by-step explanation:Each packet is worth 1500b so 30,000b/1500b gives you 20 packets
Simplify the equation given in the image
Answer:
b^20/a^12
Step-by-step explanation:
b to the power of 20 over a to the power of 12
Write a linear equation that is parallel to the line 3x−2y=14 and passes through the point (−6,−11) in slope-intercept form.
4.2540 centimeters are equal to how many inches?!
Answer: 1.6748031in
Step-by-step explanation:
Select all the pairs of equivalent expressions. Need answer ASAP!
How do I solve this?
Answer: A
One solution x = 60/23 y=12/23 z= -72/23
How? in the photos attached
Step-by-step explanation:
Take the first equation and rewrite
5x +y = 1 becomes y = 1 -5x
Substitute for y in the second equation
Solve for x
The rest of the steps are more of the same: substitute and solve as scownin the photos
They overlap a bit to be sure it's all there
Which of the following equations is equivalent to 4(6p – 3) = 26?
A: 10p – 1 = 26
B:24p – 12 = 26
C: 10p – 7 = 26
D: 24p – 3 = 26
Answer:
B. 24p - 12 = 26
For both 4(6p – 3) = 26 and 24p - 12 = 26, [tex]p = \frac{19}{12}[/tex]
I hope that this helps you!
Answer:
B:24p – 12 = 26
Step-by-step explanation:
A bowling alley charges its customers an hourly rate to bowl plus shoe rental. The hourly rates are per lane.
A linear model of this situation contains the values (2, 41) and (3, 59.25), where x represents the number of hours bowled on one lane, and y represents the total cost for bowling.
What is the rate of change in this linear model?
Answer: 18.25
Step-by-step explanation:
Answer:
Step-by-step explanation:
dvj 2355
Which of the following quantities are inversely proportional? WILL GIVE BRAINLIEST AND 25 POINTS
a
The number of hours worked and the amount of money earned, assuming the worker is paid by the hour
b
The height of a rectangular fish tank and the area of its base, if the volume is constant
c
The amount of candy purchased for $25.50 and the price per pound
d
The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.
Answer:
I believe the answer is D
Step-by-step explanation:
Inverse proportion occurs when one value increases and the other decreases
D is the answer because as each cat eats the same amount of dry cat food, there is less dry cat food in the bag; so this is why D best answers the question.
Hope this helps!
Answer:
a is false, B is true,
Step-by-step explanation:A is false because the more hours you work, the more money you get.
B is true because if the volume is constant, the bigger the length, the smaller the width, or vice versa.
What is the value of x that makes the equation true 2x+20=-2(4x-25)
2x + 20 = -2(4x - 25)
2x + 20 = -8x + 50
+8x +8x
_______________
10x + 20 = 50
-20 -20
_______________
10x = 30
__ __
10 10
x = 3
Use the Distributive Property to expand the expression -(u-v)
Answer:
(U+V) is the answer to the solution
3x - 10x + 5 = 5x + 1
What is X?
Answer:
x=1/2
Step-by-step explanation:
Please help me I will give you the brainliest (I Didn’t spell that right but don’t care)
Answer:
positive
positive
negative
1 or -1
Step-by-step explanation:
Answer:
The product of two positive integers is always a positive
The product of two negative integers is always a positive
The product of a positive integer and a negative integer is always negative
The product of any integer and -1 is always a 1 or -1
Step-by-step explanation:
Hope this helps :)
How would you simplify (-4r^5)(2r^8)?
Answer:
− 8 r^ 13
Step-by-step explanation:
Combine like terms
-4r and 2r= -8r
then add the exponents
5+8=13
THEN SIMPLIFY
-8r^13
Por qué estaría el cuervo parado en la rama de un árbol con un trozo de queso en el pico.
El cuervo está parado en una rama con un trozo de queso en el pico debido a que tenía la intención de reservarlo para otra ocasión. No obstante lo pierde por creer en el zorro.
¿Por qué estaría el cuervo parado en una rama de un árbol con un trozo de queso en el pico?El cuervo estaría parado en una rama de un árbol con un trozo de queso en el pico debido a que le gustaba reservar comida para tener provisiones disponible para ocasiones futuras. No obstante, en la fábula se menciona que se encuentra con el zorro que tiene el proposito de quitarle el trozo de queso.
Para ello, el zorro comienza a adular al cuervo para que cante y este cae en la trampa, soltando el trozo de queso. Luego de esto, el zorro toma el trozo de queso y se va.
Nota: Esta pregunta está incompleta debido a que tiene información faltante. A continuación se menciona la información faltante.
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What is the slope of the line that passes through the points M(-3,5) and N (1,8)
Answer:
the answer is A. 3/4
Step-by-step explanation:
Try using Symbolab for future reference it works really well (it's what I use ALL the time)!
The standard unit for measurement for volume is
Answer:
I'm pretty sure it's cubic meters
multiply fraction 7×2 1/2
[tex]\frac{35}{2} \: or \: 17 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]7 \times 2 \frac{1}{2} [/tex]
Convert mixed number to fraction
[tex]2 \frac{1}{2} = \frac{5}{2} \\ \\ 7 \times \frac{5}{2} [/tex]
Simplify
[tex] \frac{7}{1} \times \frac{5}{2} = \frac{35}{2} [/tex]
Convert to mixed number
[tex]17 \frac{1}{2} [/tex]
You and your soccer team are interested in buying jerseys. The price of each jersey is $50. If you buy 4 jerseys, you will get 10% discount. How much do you have to pay if you buy 8 jerseys?
Answer: $4.84
Explanation:
County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$75 * 0.0725 = $5.4375
Add the original price and the sales tax.
$75 + $5.4375 = $80.4375
County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!
$70 * 0.08 = $5.6
Add the original price and the sales tax.
$70 + $5.6 = $75.6
Then take the difference.
80.4375 – 75.6 = 4.8375
Round to the nearest hundredth: $4.84
Suppose 7 quesadillas is 49 dollars and 2 mexican burritos are 10 dollars. Find the price of 1 quesadilla and 10 mexican burritos. Explain how you set up this algebraic expression.
Answer:
17$
Step-by-step explanation:
quesadillas =x
burritos =y
7x =49 $
x=49 :7
x=7$cost a quesadillas
2 y =10$
y=10 :2
y=5$cost a burrito
x+10y
7 +2×5
17 $cost 1 quesadilla and 10 burritos
Answer:
1 quesadilla is 7 dollars and 10 burritos are 50 dollars
Explain:
49/7 is 7, so each quesadilla is 7 dollars. Also, 10/2 is 5 dollars, so each burrito is 5 dollars.
Select the smallest fraction from the following fractions.
2/4, 3/6, 1,3, 7/9
Answer: 1/3
Step-by-step explanation:
2/4 and 3/6 can be simplified to 1/2.
1/3 is smaller than 1/2 because it have a larger denominator, but the same numerator.
Multiple 1/3 by 3/3 and you get 3/9, which is smaller than 7/9.
Which of the following does not represent a function?
3. You go to a restaurant and spend $82. You find out the bill is 15% off, how much do you pay?
Answer:
$69.7
Step-by-step explanation:
82*0.15(15%)
12.3
82-12.3=
69.7
