[tex]-3(x^{2} +5x+10)[/tex] is the standard form of the given expression
The given expression is:
[tex]=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)[/tex]
This is the standard form of the given expression.
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another equation for y = 8x + 7
6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.
The value of AOB and BOC based in the information given in the circle will be 53°.
How to calculate the values in the circle?From the information given, the central angle is the angle that the vertex is at the center of the circle.
It was stated that OB bisects AOC. Therefore, since AOB is 53°, BOC is also 53°.
The value of AOC will now be:
= AOB + BOC
= 53° + 53°
= 106°
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Select the correct answer.
What is √x^9y^4
in simplest form?
Answer:
x^3y^2
Step-by-step explanation:
[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]
Can someone help with this pls
Answer:
This is C
Step-by-step explanation:
The slope is 4, meaning the integers are 4, 8, 12, 16, 20 etc. But then the last point is seen to be 40, meaning the answer is C because it is from 0-40 with a slope of 4.
3,-1, √5, 13, -11 arrange in ascending order
Answer:
The answer will be
= -11, -1, √5, 3, 13
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Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?
Answer:
6779
Step-by-step explanation:
69
1.Simplify using suitable properties
(i) 13−51+2
Answer:
This is my answer:
Step-by-step explanation:
If the price of an apple is Rs. 40, find the number of apples that can be brought for Rs. 200.
Answer:
5
Step-by-step explanation:
Divide 200 by 40 to get 5.
Answer:
ig 5 Apples can be Brought with Rs. 200
Step-by-step explanation:
Rs. 40 = 1 apple
Rs. 200 = ? Apple
therefore 5 apples can be brought...
Hope it Helps!!!
Estimate the value of
0.581 -0.246
The value of expression is,
⇒ 0.335
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ 0.581 - 0.246
Now,
Since, The expression is,
⇒ 0.581 - 0.246
After subtraction we get;
⇒ 0.581 - 0.246
⇒ 0.335
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The largest number of Oscars received by a film in year X was 4. This was different in previous years. Below is a probability distribution for the number of Oscars per Oscar winning film. What is the standard deviation of this distribution
The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.
How to find the mean and the standard deviation of a discrete distribution?The mean is given by the sum of the multiplications of each outcome by it's probability.The standard deviation is given by the square root of the sum of the squares of each outcome subtracted by the mean, multiplied by it's probability.Researching this problem on the internet, the distribution is given by:
P(X = 1) = 0.56.P(X = 2) = 0.23.P(X = 3) = 0.11.P(X = 4) = 0.05.P(X = 5) = 0.03.P(X = 6) = 0.02.Hence the mean is given by:
E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195[/tex].
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3 - what = 11
please help with this one
Find the value
of each variable.
Answer:
y=37 degrees(vertical angles)
x=180-37(linear pair)=143 degrees
z=143 degrees(vertical angles)
Hope it helps!
Answer:
x = 180° - 37° = 143°
y = 37°
z = 180° - 37° = 143°
What is the vertex of the function f(x)=|x-9|+2
Answer:
vertex = (9, 2 )
Step-by-step explanation:
given the absolute value function
f(x) = a |x - h | + k
with vertex = (h, k )
then
f(x) = | x - 9 | + 2
has vertex = (9, 2 )
what are the true statements
3. Find the measure of angle TOS in the figure below.
∠ROQ and ∠TOS are vertically opposite angles, so must be equal, which means they are 122°
∠TOS = 122°2
3
4
5
6
7
8
O They have the same slope.
O They have the same y-intercept.
9
10
TIME REMAINING
55:24
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations
O They intersect at one point.
O They intersect at two points.
Answer:
72
Step-by-step explanation:
yhsvybybyvyyvtvvyyvvt
Answer:
number 9 is the answer for this question
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store for the previous year.
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
#1
Take any two points
(3,24)(6,48)Slope
m=48-24/6-3m=24/3m=8#2
(3,21)(6,42)Slope:-
m=42-21/6-3m=21/3m=7Difference
1$Answer:
Part a you find the rate of change by finding the slope of the line the value is 8 it is (y2-y1)/(x2-x1) 48-24/6-3=24/3=8
Part b current year is 8 dollars a bushel and previous year is 7 dollars
Step-by-step explanation:
How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
A.
4
B.
1
C.
0
D.
infinite
Answer:
c. 0
Step-by-step explanation:
3(x+8) - 1 = 3x+4
3x+24-1 = 3x+4
3x+23 = 3x+4
There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.
9(x - 11) = 9 what is x
Answer:
x=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12-1 is 11 and than 9 times 1 is 9
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form
Answer:
y = 3/4x + 2
Step-by-step explanation:
let me know if you want an explanation :))
One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
O x=-5
O x=-1
O x = 1
O x = 5
Answer:
x= 5
Step-by-step explanation:
factorised the equation is (x-5) (x+3)
x=5 x=-3
I need help asp. Identifying Geometric Figures.
Answer:
The angle created by OX and OZ is angle XOZ
The two rays that create YOX are ray OX and ray OY
The center of the circle is point O
Step-by-step explanation:
The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:
ray OX and ray OZ meet at center O to form angle XOZ.
ray OX and ray OY meet at the center O to form angel YOX.
Therefore:
The angle created by rays OX and OZ is <XOZ
The two rays that created <YOX are: OX and OY
The center of the circle is point O.
I hope this is helpful.
The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.
A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?
A mean is an arithmetic average of a set of observations.
The correct option is (A).
What is Mean?
A mean is an arithmetic average of a set of observations.
Mean = (Sum of observations)/Number of observations
As, the median is the middle value.
Thus, the median will not be changed.
As, the mean is the arithmetic average.
So, the $100 gift will increase the mean value of the prizes.
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Answer:
A
Step-by-step explanation:
Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²
Answer:
3x²
Step-by-step explanation:
1 triangle is 1/2x²
2 triangles are x²
rectangle below is 2 squares
rectangle below is 2x²
x² + 2x² = 3x²
Simplify 8 − (14). plsss help
Answer:
(-6)
Step-by-step explanation:
Integer subtraction:
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
8 - 14 = (-6)
Subtract 8 from 14 and the bigger number is 14 and sign of 14 is (-).
So, the answer is (-6)
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
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A projector was sold after allowing 10% discount on the marked price and levying 13% VAT .If the selling price of the projector after discount is Rs 5,850 , less than its selling price with VAT, find the marked price of the projector.
The marked price of the projector is $50,000.
What is the marked price?The price of the projector after the discount can be represented with:
(100 - 10%)x - 90%x = 0.90x
Where x is the marked price
The price of the projector after the VAT is : (1.13) x 0.90x = 1.02x
Difference in price = 1.02x - 0.90x = 5850
0.12x = 5850
x = 5850 / 0.12
x = $50,000
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rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10
If 3/4 of ojo’s pocket money is €600.00; what is 1/8 of this pocket money?
Answer:
100
Step-by-step explanation:
explanation is shown in the picture
Let's set all the information into equations:
⇒ 3/4 of Ojo's money is €600.00 ⇒ [tex]\frac{3}{4} x = 600[/tex]
(Where x is the total amount of money)
Let's solve the equation:
⇒ to find the total amount of money that Ojo has:
[tex]\frac{3}{4}x=600\\ 3x=2400\\x=800[/tex]
⇒ total money is €800
Original question: what is 1/8 of this pocket money
[tex]\frac{1}{8} *800=100[/tex]
Answer: €100 is 1/8 of his pocket money
Hope that helps!
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Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed
The volume of the pyramid on the left is greater by 8 inches cubed
We have given that,
A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.
The equation for finding the volume of a pyramid is,
What is the volume of a pyramid?lwh/3
when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.
Therefore, 128 - 120 = 8
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