Answer:
a^2 - b^2 = (a-b)(a+b)
Step-by-step explanation:
x^2 -9
Rewriting as
x^2 - 3^2
We notice that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
x^2 - 3^2 = (x-3)(x+3)
drag the tiles to the correct boxes to comlete the pairs.
not all tiles will be used.
match each quadratic equation with its solution set.
Answer:
first tile: X²-55=9
second tile:2x²-32=0
third tile:4x²-100=0
fourth tile:x²-140=-19
Step-by-step explanation:
apply difference of two squares to all i.e (a+b)(a-b)=(a²-b²)=0
x²-55-9=0
x²-64=0
x-8,x+8=0
x=8,x=-8
2x²-32=0
divide through by two
x²-16=0
x=4,x=-4
4x²-100=0
divide through by 4
x²-25=0
x=5 or -5
x²-140=-19
x²-140+19=0
x²-121=0
x=11 or -11
ASAP ITS TIMED
What is the following sum? Assume x20 and 20.
W x ² + 2 / x 374 + xy ſy
0 x ²7² ſy- 2xy?
0 2xy ſy + 2xy ² x
0 4xy dx
o 2xyxy
وی در مورد
Answer:
The right answer is the 2nd one
hope it will help :)
The given sum is option B. 2xy√y + 2xy²√x.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression of sum is,
√(x²y³) + 2√(x³y⁴) + xy √y
We have to find the sum.
√(x²y³) = √x² √y³ = x√y³ = x√(y²)√y = xy√y
Now,
2√(x³y⁴) = 2[√x² √x √(y²)²] = 2x√x y² = 2xy²√x
Substituting these,
√(x²y³) + 2√(x³y⁴) + xy √y = xy√y + 2xy²√x + xy √y
= 2xy√y + 2xy²√x
Hence the equivalent sum is 2xy√y + 2xy²√x.
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Complete the table for the given rule.
Rule: y is 0.750.750, point, 75 greater than x
x y
0
3
9
Answer:
está inglês não dá para entende
Point K is located at (2,5) on the coordinate plane. Point K is reflected over the x-axis to create point K'. What ordered pair describes the location of K'?
9514 1404 393
Answer:
(2, -5)
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate:
(x, y) ⇒ (x, -y)
K(2, 5) ⇒ K'(2, -5)
The location of K' is (2, -5).
Can you please me with the word problem thank you so much
Answer:
4. 53
5. 66
6. 89
7. 31
Step-by-step explanation:
4. 14 + 18 + 21
^ ^
33 + 21
53
5. 86 - 20
66
6. 34 + 55
89
7. 14 + 11 + 6
^ ^
25 + 6
31
Which of the symbols correctly relates the two numbers below? Check all that
apply.
45 ? 45
A. >
B. 2
DC.s
D. =
DEZ
OF. <
Answer:
D. =
Step-by-step explanation:
Because 45 and 45 are the same number so they equal the same value
Answer:
Step-by-step explanation:
Answer B C D
Try this 33-33+33×33÷0
Answer:
the answer is
Step-by-step explanation:
1089 first divide then multiply both numbers after that substract the numbers
Answer:
the answer is error
hope it helps
Find a least-squares solution of A by (a) constructing the normal equations for and (b) solving for . A , a. Construct the normal equations for . nothing nothing (Simplify your answers.) b. Solve for .
Roll a dice six times. Find the probability that :
a . The back of the dot appears exactly 4 times ;
Answer:
2/3???
.................
Answer:
0.804% to 3 dec places.
Step-by-step explanation:
If the first 4 throws are a dot and the next 2 are not:
Probability = (1/6)^4 * (5/6)^2
= 25/46656
There are 6C4 ways for this to happen
6C4 = (6*5*4*3)/ (4*3*2*1) = 15 ways.
So The required probability = (25*15)/46656
= 125/15552
= 0.00804
= 0.804%
Describe the transformation in the given image.
1
2.
Rotation
3
Dilation
Reflection
4
Translation
Answer:
C
Step-by-step explanation:
It's a clear reflection transformation
Park Hyatt Philadelphia at the Bellevue, located at Walnut and Broad in downtown Philadelphia has a capacity of 240 king rooms. Customers of Hyatt are typically either leisure travelers or business customers. Hyatt charges a discount fare of $125 for a midweek stay (but requires booking a week in advance) which contrast the regular fare of $275. Typically, business customers book in the last minute, and are willing to pay the regular fare, if they can be guaranteed accommodation. Suppose we are interested in the bookings in Park Hyatt on August 6th (the day of our final exam). Hyatt knows that there are plenty of leisure travelers, willing to pay the low fares. However, all else being equal, Hyatt would like to fill those rooms with the high-fare travelers. The objective of Hyatt is to maximize the sum of revenue from both sections of the travelers. If Hyatt followed the ‘booking limit policy’, by reserving some rooms for last-minute business customers, how many rooms should it reserve? Assume that there is ample demand of leisure customers willing to pay the discount fare, and the number of business customers is normally distributed, with mean 50 and standard deviation 26. (6 points)
Answer:
[tex]X=53[/tex]
Step-by-step explanation:
From the question we are told that:
Regular fare R= $275
Discount fare of $125
Mean [tex]\=x =50[/tex]
Standard deviation [tex]\sigma= 26.[/tex]
Generally, the equation for Critical Fraction is mathematically given by
[tex]C=\frac{Pf-Pd}{Pf}[/tex]
[tex]C=\frac{275-125}{275}[/tex]
[tex]C=0.5[/tex]
From Z Distribution Table
[tex]Z=0.1131[/tex]
Therefore
Reservation made is give as for High fare travellers is
[tex]X = \=x+(z* \sigma)[/tex]
[tex]X = 50 + (0.1131 * 26)[/tex]
[tex]X=53[/tex]
4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
shown below. For which flowerbeds does Eric have enough fencing? Color in all the
possible answers.
A.
length = 30 yards
area = 300 square yards
B.
length = 20 yards
width = 5 yards
C.
width = 12 yards
perimeter = 48 yards
D.
length = 26 yards
width = 22 yards
E.
length = 16 yards
width = 14 yards
F.
width = 9 yards
area = 162 square yard
Answer:
B,C,F
Step-by-step explanation:
A=L*W
P=2L+2W
P≤54
for A, 2L is already greater than 60
B works as 2W+2L in this case is 50
C states that perimeter is less than 54
D doesn't work, as 2L+2W=96
E doesn't work, see above, P=60
F, area=W*L
162/9=18
L=18
2L+2W=48, so F works
Answer:
trả lời:
B,C,F
Giải thích từng bước:
A = L * W
P = 2L + 2W
Trang ≤54
đối với A, 2L đã lớn hơn 60
B hoạt động như 2W + 2L trong trường hợp này là 50
C nói rằng chu vi nhỏ hơn 54
D không hoạt động, vì 2L + 2W = 96
E không hoạt động, xem ở trên, P = 60
F, diện tích =W*L
162/9=18
L =18
2L + 2W = 48, vì vậy F hoạt động
the image is located at the bottom of the screen.
Answer:
..... surface area = 16 km^2.
240) What term is 359 in the sequence 5, 12, 17, 23, 28, 29......?
Answer:
Check your question again
Step-by-step explanation:
The arithmetic equation of this sequence is an=5+(n-1)*7. Replace 359 with an and solve for n
359=5+(n-1)*7, 354/7=n-1. Wait you got the whole equation wrong, the first term should be 7 so that the common difference be equal to 5
The right triangle on the right is a scaled copy of the right triangle on the left. Identify
the scale factor. Express your answer as a whole number or fraction in simplest form.
3
15/4
Answer
Submit Answer
9514 1404 393
Answer:
5/4
Step-by-step explanation:
The ratio of long sides is ...
right/left = 5/4
The scale factor is 5/4.
pls help! I need the answer quickly! thank you!
Answer:
C is the answer!
area of triangle is 1/2b*h
find the factors of f(x), given that x = -2 is zero. f(x) = x³ + x² - 14x - 24
Answer:
x=-3 and x=4
Step-by-step explanation:
Since x=-2 is a zero of the function, we can find the other two factors by dividing f(x) by (x+2) using long division to obtain the other two roots. The quadratic obtained is x^2-x-12. Now factorising this quadratic will result in (x-4)(x+3)=0, x=-3 and 4 are the other rrots
The factorization of the function f(x) = x³ + x² - 14x - 24 will be (x + 2), (x + 3), and (x - 4).
What is factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
f(x) = x³ + x² - 14x - 24
Factorize the function, then we have
f(x) = x³ + x² - 14x - 24
f(x) = x³ + x² - 14x - 24
f(x) = x³ + 2x² - x² - 2x - 12x - 24
f(x) = x²(x + 2) - x(x + 2) - 12(x + 2)
f(x) = (x + 2)(x² - x - 12)
f(x) =(x + 2)(x² - 4x + 3x - 12)
f(x) = (x + 2)[x(x - 4) + 3(x - 4)]
f(x) = (x + 2)(x + 3)(x - 4)
The factorization of the function f(x) = x³ + x² - 14x - 24 will be (x + 2), (x + 3), and (x - 4).
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Your job in a company is to fill quart-size bottles of oil from a full 100-gallon oil tank. Then you are to pack 12 quarts of oil in a
case to ship to a store. How many full cases of oil can you get from a full 100-gallon tank of oil?
8 cases of oil
33 cases of oil
25 cases of oil
34 cases of oil
Answer:
33 cases of oil
Step-by-step explanation:
You start with 100 gallons of oil.
1 gallon = 4 quarts
100 gallons = 100 * 4 quarts
100 gallons = 400 quarts
You start with 400 quarts.
You place 12 quarts in each box.
400/12 = 33 1/3
You can pack 33 full cases plus 1/3 of another case.
The question only askes about full cases.
Answer: 33 cases of oil
The number of cases of oil will be 8 cases of oil. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
It is your responsibility to fill quart-size oil bottles from a 100-gallon oil tank at work. The next step is to prepare a case to transport 12 quarts of oil to a retailer.
The number of cases of oil that you can get from a full 100-gallon tank of oil will be given as,
⇒ 100 / 12
⇒ 8.33
⇒ 8 cases of oil
Thus, the correct option is A.
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needhdjdjdjdjdjdnhiskdjdjdjdjdjdjjshdjdjdjdjdjdjdjd
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Answer:
-(√2)/2
Step-by-step explanation:
The expression evaluated at n=a gives the indeterminate form 0/0, so L'Hopital's rule can be used to find the limit. The second expression comes from differentiating numerator and denominator. Then the form with n=a is no longer indeterminate.
[tex]\displaystyle\lim_{n\to a}{\frac{\sqrt{2n}-\sqrt{3n-a}}{\sqrt{n}-\sqrt{a}}}=\lim_{n\to a}{\frac{\frac{2}{2\sqrt{2n}}-\frac{3}{2\sqrt{3n-a}}}{\frac{1}{2\sqrt{n}}-0}}\\\\=\sqrt{a}\left(\frac{2}{\sqrt{2a}}-\frac{3}{\sqrt{3a-a}}}\right)=\boxed{-\frac{1}{\sqrt{2}}}[/tex]
A company received orders for 1.500
erasers, and then a batch of orders
came in for 3,200 more. The company
has 800 erasers in stock, but 5,500 are
due in next week. How many erasers
will the company have in stock after
this shipment comes in and has
fulfilled all orders?
Answer:
0
Step-by-step explanation:
PLEASE HELP POLYGONS
Step-by-step explanation:
I think the answer is 2.5
Answer:
JK = 2.5
Step-by-step explanation:
We can find the scale factor of both shapes.
2 / 1 = 2
4 / 2 = 2
3 / 1.5 = 2
So we have a scale factor of two. To find JK, we can divide the side length of AB by the scale factor.
5 / 2 = 2.5
Best of Luck!
What is the value of B|-|A|?
Answer:
B+A
Step-by-step explanation:
Restate the number 4,587,902.453.
Expanded form:
Written form:
Answer:
Expanded form: 4,000,000 + 500,000 + 80,000 + 7,000 + 900 + 2 + 0.4 + 0.05 + 0.003
Word form: Four million, five hundred eighty-seven thousand, nine hundred two and four hundred fifty-three thousandths.
1. Ewa has 20 balls of four colors: yellow, green, blue, and black. 17 of them are not green, 5 are black, and 12 are not yellow. How many blue balls does Ewa have? (Use Gaussian elimination method).
Answer:
In a bag of balls, 1/4th are green, 1/8th are blue, 1/12th are yellow and the remaining 26 are white. How many balls are blue?
There are 4 colours of balls - green, blue, yellow and white.
Add (1/4)+(1/8)+(1/12) = (6/24)+(3/24)+(2/24) = 11/24 so the balance or (24–11)/24 = 13/24 = 26 white. Hence the total number of balls are 2*24 = 48.
Of the 48 balls, green are (1/4)*48 = 12, blue are (1/8)*48 = 6, yellow are (1/12)*48 = 4 and the rest, white are 26.
Check: Total number of balls = 12+6+4+26 = 48
Answer: 6 balls are blue....
Solve the following system of equations for x to the nearest hundredth : y + 2x + 1 = 0; 4y - 4x ^ 2 - 12x = - 7
Answer:
+3.464; -3.464
Step-by-step explanation:
call A = y + 2x + 1 = 0 => y = (1 - 2x)
call B: 4y - 4(x^2) - 12x = -7
=> replace y from A to B =>
4(1 - 2x) - 4(x^2) - 12x = -74 - 8x - 4(x ^ 2) - 12x = -7-8x - 4(x ^ 2) - 12x = -7 - 4 = -11-4(x^2) - (8x - 12x) = -11-4(x^2) + 4x = -11-4(x^2) + 4x + 11 = 0=> get delta Δ = (-4^2) - 4*(-4 * 11) = 192
=> Δ > 0 => got 2 No
=> x1 = [tex]\frac{-4 + \sqrt{192} }{2 * -4}[/tex] = [tex]\frac{1 - 2\sqrt{3} }{2}[/tex] = -1.232
=> x2 = [tex]\frac{-4 - \sqrt{192} }{2 * -4}[/tex]=[tex]\frac{1 + 2\sqrt{3} }{2}[/tex]= 2.232
=> replace x from B into A
=> y1 = (1 - 2x) = (1 - 2 * -1.232) = 3.464
=> y2 = (1 - 2x) = (1 - 2 * 2.232) = - 3.464
Hey can anyone help me solve this
Answer:
24
Step-by-step explanation:
Answer and Step-by-step explanation:
I think the answer is 48.
We should add the 12 and 4, then multiply by 3. The 16 times 3 is to get the original amount of candies. To check, we go through the process using the number 48.
48 times 1/3 is 16. 4 of them are given to the brother, which leaves us with 12 remaining candies.
#teamtrees #PAW (Plant And Water)
? Question
Use the drawing tools to form the correct answer on the graph.
Graph this step function:
Answer:
start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.
Step-by-step explanation:
7(square root 14) divided by (square root 7)
The question given above will require a good understanding of surd operation in order to arrive at the best answer. Thus, the answer to the question is:
[tex]\frac{7\sqrt{14} }{\sqrt{7}} = 7\sqrt{2}[/tex]
To solve this problem, we shall simply rationalise the denominator. This can be obtained as illustrated below:
[tex]\frac{7\sqrt{14}}{\sqrt{7}}\\\\Rationalise\\\\\frac{7\sqrt{14}}{\sqrt{7}} * \frac{\sqrt{7} }{\sqrt{7}}\\\\\frac{7\sqrt{14*7}}{\sqrt{7*7}}\\\\\frac{7\sqrt{98}}{\sqrt{49}}\\\\\frac{7\sqrt{98}}{7}\\\\\sqrt{98}\\\\\sqrt{98} = \sqrt{49*2} \\\sqrt{98} = \sqrt{49} * \sqrt{2} \\\sqrt{98} = 7\sqrt{2} \\\\Thus, \\\\\frac{7\sqrt{14}}{\sqrt{7}} = 7\sqrt{2}[/tex]
Therefore, from the calculations made above, the solution to the question is 7√2
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Joe says 4.02 times 0.3 is about 12. Does this make sense? Explain your thinking.
Answer:
No, it doesn't.
Because 0.3 is smaller than 1, so the product should be less than 4.02.
Let me know if this helps!
Can you tell which 3-D shape this would make?
Answer:
the answer is A
Step-by-step explanation:
you can see the image dont have stand. so it cannot be 3d. 3d need right left up down to fullfil the box
Dosen"t fold to make a 3D shape.
What is 3D shape?3D shapes exist in forms with three dimensions, such as width, height, and depth. An example of a 3D shape exists as a prism or a sphere. 3D shapes exist as multidimensional and can be physically held.
A 2D shape includes two dimensions- length and breadth. A 3D shape contains three dimensions- length, breadth, and height.
The figure doesn't fold to make a 3-D shape as it doesn't have all the specified number of sides for any given shapes.
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