Answer:
B. (2x + 3y)(x - y)
Step-by-step explanation:
[tex]2x^{2} +xy-3y^{2}[/tex] Write x y as a difference
[tex]2x^{2} +3xy-2xy-3y^{2}[/tex] Factor out x from the equation
[tex]xx(2x+3y)-yx(2x+3y)[/tex] Factor out 2x+3y from the expression
[tex](2x+3y)x(x-y)[/tex] <----- Answer
The factors of [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex].
What are factors ?Factors is a number or algebraic expression that divides another number or expression. i.e., with no remainder
We have,
[tex]2x^2 + xy - 3y^2[/tex]
Now,
Using the middle term split method,
[tex]2x^2 + xy - 3y^2[/tex]
Splitting the mid term;
[tex]2x^2 - 2xy + 3xy - 3y^2[/tex]
Now taking commons,
[tex]2x(x - y) + 3y(x - y)[/tex]
Now again taking common factors
We get,
[tex](x - y) (2x+ 3y)[/tex]
So, the factors of given expression are [tex](x - y) (2x+ 3y)[/tex].
Hence, we can say that the factors of [tex]2x^2 + xy - 3y^2[/tex] are [tex](x - y) (2x+ 3y)[/tex] which are given in option [tex](B)[/tex] .
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The baseball team has a double-header on Saturday. The probability that they will win both games is 42%. The probability that they will win the first game is 60%, What is the probability that the team will win the second game given that they have already won the first game?
The probability that the team will win the second game given that they have already won the first game is 7/10
Event win in the 1st game is represented with A
Event win in the 2nd game is represented with B
In the question
i. The probability that they will win both games is P(AnB) = 42%
ii. The probability that they will win the first game is P(A) = 60%
The probability that the team will win the second game given that they have already won the first game is:
P(B/A) = P(BnA) / P(A)
P(B/A) = P(AnB) / P(A)
From the question
P(B/A) = 42% / 60%
P(B/A) = 0.42 / 0.60
P(B/A) = 7/10
In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10
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GUYSSSSSSS!!!!!!! PLEASE PLEASE!!! PLEASE HELP!! ILL MARK BRAINLIEST!!
Answer:(1, 1)
Step-by-step explanation:
u just move it 4 left and 3 up cuz x is left and right and its negative so left, then y is up and down and it's positive so up
how do I find the value of x in a isosceles and equilateral triangle
Name the angle in (4) different ways.
Answer:
um in languages or different angles
Step-by-step explanation:
A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%
Answer: H - 50%
Step-by-step explanation:
The percentage markup on the textbook on the given percentage will be 50%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of a textbook = $28
Selling price = $42
% markup = (42 - 28)/28 x 100 = 50%
Hence "The percentage markup on the textbook on the given percentage will be 50%".
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Which graph shows the solution for d?
Answer:
is there a picture????
please help fast. - a pair of equations are shown below:
y = 7x - 8
y = 5x - 2
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 7x - 8 → (1)
y = 5x - 2 → (2)
A
Solving by substitution
Substitute y = 7x - 8 into (1)
7x - 8 = 5x - 2 ( subtract 5x from both sides )
2x - 8 = - 2 ( add 8 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and evaluate for y
Substituting into (1)
y = 7(3) - 8 = 21 - 8 = 13
Solution is (3, 13 )
B
The point of intersection of the graph of the 2 equations is the solution to the above equations.
That is point of intersection = (3, 13 )
please help thanks in advance also best answer get's brainlest
Answer:
angle t is 55 degrees
Step-by-step explanation:
Here's my work:
Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110
110/2=55 (two because those are the two angles associated with the equal sides)
Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?
Answer:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
Step-by-step explanation:
Let cost of a candle = [tex]x[/tex]
Let cost of a wallflower = [tex]y[/tex]
Let cost of a lotion = [tex]z[/tex]
Cost of 4 candles = 4[tex]x[/tex]
Cost of 5 wallflowers = 5[tex]y[/tex]
Cost of 6 lotions = 6[tex]z[/tex]
Cost of 2 candles = 2[tex]x[/tex]
Cost of 3 wallflowers = 3[tex]y[/tex]
Cost of 1 lotion = [tex]z[/tex]
As per question statement:
[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]
Using equation (3) in (1) and (2), the equations get reduced to :
[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]
Multiplying (5) with 2 and subtracting from equation (1):
[tex]7y = 35\\\Rightarrow y = 5[/tex]
By equation (3):
[tex]\Rightarrow z =8[/tex]
By equation (4):
[tex]\Rightarrow x = 12.5[/tex]
Therefore, the answer is:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
Heng was trying to factor 10x^2+5x. She found that the greatest common factor of these terms was 5x5x5, x and made an area model:
Answer:
[tex]Width = 5x + 1[/tex]
Step-by-step explanation:
Given
[tex]Area = 10x^2 + 5x[/tex]
[tex]Length = 5x[/tex]
Required (Missing)
Determine the Width?
Area is calculated as:
[tex]Area = Length * Width[/tex]
Substitute values for Area and Length
[tex]10x^2 + 5x = 5x * Width[/tex]
Factorize the right hand side
[tex]5x(5x + 1) = 5x * Width[/tex]
Divide both sides by 5x
[tex]5x + 1 = Width[/tex]
Hence, the width of the model is 5x + 1
which is equivalent to √3/√8 when denominator is "rationalized"?
Step-by-step explanation:
[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]
Used:[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]
Brainliest!!!!!!!!!!!!!!
Answer:
The answer is 286.
Explanation:
We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:
We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).
We know the value of the sixth term is 22, so we use that instead of a₆:
22=a₁+6(6-1).
Evaluating this, we have
22=a₁+6(5)
22=a₁+30.
Subtract 30 from both sides, and we have
22-30=a₁
-8=a₁.
We now use this value in our explicit formula:
To find the fiftieth term we replace n with 50:
a₅₀= -8+6(50-1)
a₅₀= -8+6(49)
a₅₀= -8+294
a₅₀=286
6th grade math i mark as brainliest
Answer:
dividend is 30
divisor is 6
Step-by-step explanation:
What are the x intercept and y intercept of the graph of 5x+8y=20
Answer:
x intercept: (4,0)
y intercept: (0,2 1/2)
Step-by-step explanation:
x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
5x+8y=20
8y=-5x+20
Divide both sides by 8
y=-5/8x+20/8
y=-5/8x+5/2
Now put x=0 to find y intercept
y=5/2
Now put y=0 to find x intercept
-5/2=-5/8x
4=x
Hence, x intercept is (4, 0) and y intercept is (0,5/2).
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Select the correct answer.
What is the solution to the equation?
vt + 3 = 12
A.
225
OB.
81
O C.
3
OD.
no solution
Answer:
81
Step-by-step explanation:
[tex] \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81[/tex]
81 is the solution to the equation √x+3=12
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is √x+3=12
Square root of x plus three equal to twelve
√x+3=12
Subtract three from both sides
√x+3-3=12-3
√x=9
Square on both sides
√x²=9²
The root and square will gets cancelled
x=81
Hence, 81 is the solution to the equation √x+3=12
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A rectangular prism has a height of 15 centimeters. The base of the prism has an area of 22 square centimeters. What is the volume of the prism?
Answer:
330cm^3
Step-by-step explanation:
22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.
HELPPPPPP URGENT HELP NEEDED!!!!! 1ST RESPONSE WITHJ EXPLANATION GETS BRAINLIEST!!!
Write the equation of a line going through (-3,1) and (-2,4) in point slope form using the slope you got ( I got -3 for slope) and the first point given.
Answer:
y = -3x + 10
Step-by-step explanation:
y = mx + b
plug in numbers to the equation
1 = (-3)(-3) + b
multiply the slope -3 and -3
1 = (9) + b
subtract 9 from both sides
-8 = b
Now plug in the slope and b
y = -3x - 8
Answer:
The equation I got was y= 3x + 10
Step-by-step explanation:
All you need to do is use the formula y= mx + b.
X+19=-9
pls help!! algebratic equations
Answer:
x=-28
Step-by-step explanation:
Subtract 19 from both sides.
-9 -19 = -28
Answer:
-28
Step-by-step explanation:
you need to get x by itself, so subtract 19 on each side. -9-19= -28
Can someone explain slope intercept form as simple as possible? Formula: y=mx+b
Ok y is your y value from any point on the graph m is your slope x is the x value of any point from the graph and b is your y intercept that is where the line cross in the y line that is the vertical line in the graph
Answer:
As simple as possible, it's a form of linear equations.
Step-by-step explanation:
The formula, y = mx + b, can be dissected to get the slope and y-intercept of a linear equation where:
m = slope
b = y-intercept
(x and y can be substituted for any point)
If you have any more questions, feel free to ask. Hope this helps!
A particular satellite is 10 ft wide. A
model of it was built with a scale of 1 in :
2 ft. How wide is the model?
3 ft
Step-by-step explanation:
25 - so
Is the following number rational or irrational?
Answer:
25 is a rational number
Step-by-step explanation:
This is because, a rational number needs to be in p/q form, where q ≠ 0
This is possible for 25, 25 in p/q form =
25/1
If my answer helped, kindly makr me as the brainliest!!
Thank You!!
The state Capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella's scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella's model?
Give the equation in slope intercept form for each representation. Tell me if you can’t see the pic at the top.
Can some one please help me i'll give brainliest..please actually answer all the questions. please don't not answer the right way!!!
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answer:
#1
(1,7) , (2,10) , (3,5) , (4,7) , (5,9)#2
5 students were absent on day 3#3
Day 2 had the greatest number of absent students. There were 10 absent students on that day.#4
The relation represented by the graph is a function. When performing the vertical line test, the vertical line does not intersect the graph more than once; therefore, it is a function.Step-by-step explanation:
Hope this helps
If the perimeter of the triangle is 40 cm, find the area of the triangle.
The area of the triangle is, ? cm2.
Answer:
102 cm²Step-by-step explanation:
Perimeter is:
P = 40 cmand P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8Comparing the value:
8x - 8 = 40 8x = 48x = 8 cmAre formula:
A = 1/2ahReplacing values:
A = 1/2(x + 9)(2x - 4)A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²Answer:
60cm²
Step-by-step explanation:
To find :-
The Area of the triangle .We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .
→ 2x - 4 +5x - 13 + x + 9 = 40cm .
→ 8x - 8 = 40cm
→ 8x = 40+8 cm
→ 8x = 48 cm
→ x = 6cm .
We know that the area of the triangle is half the product of base and height .
Base = x + 9 = 15cm Height = 2x -4 = 8cm .→ A = 1/2 × b × h
→ A = 1/2 × 8cm × 15cm
→ A = 60cm²
Dantes Soccer Team Sells T-Shirts To raise money for new equipment. For Each T-shirt sold the team raises $8. Parents Also make a donation of $100 toward the equipment.
What is The equation That the total amount raised y , if x T-shirts are sold?
A. y= 8x
B. Y=12.5x
C. y= 100x + 12.5
D. y= 8x + 100
Answer:
It would be D
Step-by-step explanation:
Write the slope-intercept form of the equation that is described below.
Through (3, 3) and perpendicular to y = 14x − 2
What is the equation?
Answer:
y = -¹/₁₄x + 3³/₁₄Step-by-step explanation:
If two lines are perpendicular then the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 14x - 2 ⇒ m₁=14
14×m₂ = -1 ⇒ m₂ = -¹/₁₄
The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:
3 = -¹/₁₄×3 + b must be true
3 = -³/₁₄ + b
b = 3³/₁₄
Therefore equation in slope-intercept form:
y = -¹/₁₄x + 3³/₁₄
my teacher sent me a really passive aggressive email. any ideas of how to respond in a passive aggressive way without getting in trouble. here's some context for what the email was about. So I had to submit something online but I'm having issues doing it. I figured out a way to do it but he wants me to do it a different way. the way he wanted me to do it didn't work so I asked him if I could just do it my way. he told me that I'm the only one having the issue and asking him if it's ok to submit it my way would be a burden for him to grade(which honestly it wasn't, all it would take him is an extra minute) he also said that I should develop some persistence and figure out the issue. (this was an assignment due 2 months ago and the semester is almost over, he said that if I don't get it in I'll get a 0 for it. that's why I asked for him to grade it the way I submitted it.)
so any ideas on how to respond.
Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"
Step-by-step explanation:thats job done
HELP PLEASE
given the relation y=x^2 +3 if the input is 4 what is the output
Answer:
19
Step-by-step explanation:
x = 4
y = 4^2 + 3 = 16 +3 = 19
please help and answer this question
Answer:
-2x+9
This is the answer you are looking for
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