Hi. Please i need help with this . No jokes . I need help with (vii) and (ix)
Answers
9514 1404 393
Answer:
(vii) 25/4
(ix) -61/6
Step-by-step explanation:
(vii) Once again, we remind you that for ax²+bx+c=0, ...
α+β = -b/a = -(-7/2) = 7/2 = 3.5
αβ = c/a = -3/2 = -1.5
Then the desired expression is ...
α/(β+1) +β/(α+1) = (α² +α +β² +β)/((α+1)(β+1))
= ((α+β)² -2αβ +(α+β))/(αβ +(α+β) +1)
= (3.5² -2(-1.5) +3.5)/(-1.5 +3.5 +1) = 18.75/3 = 6.25 = 25/4
__
(ix) α/β +β/α = (α²+β²)/(αβ)
= ((α+β)² -2αβ)/(αβ) = (3.5² -2(-1.5))/-1.5 = 15.25/-1.5 = -61/6
Related Questions
using the elimination method to solve the system of equations.
3x+6y =36
3x-6y=0
a. 3,6
b. 6,-3
c. 6,3
d. 3,-6
Answers
Answer:
c. (6, 3)
Step-by-step explanation:
subtract
3x + 6y = 36
3x - 6y = 0
12y = 36, y = 3
3x + 6(3) = 36
3x + 18 = 36
3x = 18, x = 6
x = 6, y = 3
Answer:
the answer is b good luck
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answers
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
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PLEASE HELP!!!!!!!!!!!!!!
Answers
Answer:
882-28282=9191
Step-by-step explanation:
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answers
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?
Answers
Answer:
13 1/3 cups
Step-by-step explanation:
The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1
1 1/3 x 10 = 13 1/3
Answer:
13 1/3
Step-by-step explanation:
12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup
7 chocolate bars cost 19 dollars determine the cost per chocolate bar.
Answers
Answer: .368
Step-by-step explanation:
Answer:
$2.71
Step-by-step explanation:
to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars
19/7
= 2.714
≈ $2.71
The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).
What are the coordinates of the centroid of triangle ABC?
Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!
Answers
Answer:
(7 , 5)
Step-by-step explanation:
Add all the x-axis then divide by 3
7 + 3 + 11 = 21
21/3 = 7
Add all the y-axis then divide by 3
9 + 3 + 3 = 15
15/3 = 5
So answer will be (7,5)
The coordinates of the centroid of triangle ABC.
(x, y)
Where,
x = Sum all the x-coordinates of the vertices ÷ 3
y = Sum o
The coordinates of the centroid is (7, 5).
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The vertices of the triangle in the diagram below are:
A(7,9), B(3,3), and C(11,3).
Now,
The coordinates of the centroid of triangle ABC.
(x, y)
Where,
x = Sum all the x-coordinates of the vertices ÷ 3
y = Sum of the y-coordinates of the vertices ÷ 3
Now,
x = 7 + 3 + 11 / 3 = 21/3 = 7
y = 9 + 3 + 3 / 3 = 15/3 = 5
Now,
The coordinates of the centroid is (7, 5).
Learn more about triangles here:
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6th grade math i mark as brainliest
Answers
Answer:
There are 5 terms
Step-by-step explanation:
each number is its own term
Consider the following system of equations
-2x+5y=19
Y=-5/6x-1/6
Use this graph of the system to approximate its solution
A. (13/4,-5/2)
B. (-5/2,13/4)
C. (-13/4,5/2)
D.) (5/2,-13/4)
Answers
Answer:
C
Step-by-step explanation:
We have the system of equations:
[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]
And we want to use the graph to approximate the solution to the system.
Remember that, graphically, the solution to a system of equations is where the two graphs intersect.
We can see that the point at which the two lines intersect is in QII.
Hence, x is negative and y is positive.
The only choices that satisfies these conditions are B or C.
However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.
Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.
So, our final answer is C.
What is 23/24 as a decimal rounded to the nearest hundredth?
Answers
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
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There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?
Answers
Answer:
4731
Step-by-step explanation:
4,389+342=4,731
A.) what is the domain?
B.) what is the range?
C.) is this relation a function?
Answers
Answer:
The Domain is the set of all points over which a function is defined.
The range is the set of values the function takes on as output.
A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.
Answers
Answer:
30 angels
Step-by-step explanation:
The numbers 22 and 35 are relatively prime. TrueFalse
Answers
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.
Answers
The final score of the basketball game is (54, 63).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, They only scored 6 points for every 7 points the visiting team scored
and they differ by a total of 9 points.
Therefore, The final score would be 6×9, 7×9.
= (54, 63).
If we take the difference between 63 and 54 it would be 9.
learn more about numerical expressions here :
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Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.
Answers
Answer:
x-intercept= 6
y-intercept= 4
Step-by-step explanation:
Solve for x first then solve for y.
Answer: y= -2/3x+4
The X-Intercept is -2/3
The Y- Intercept is 4
Hope this helps!! Have a wonder day everyone!! (:
Step-by-step explanation:
Step one write out the equation 2x+3y=12
Then move the variable to the right hand side and change the sign. 3y=12-2x
Then divide both sides of the equation by 3. You get y=4-2/3x
Then: Use the Commentative Property to reorder the terms. y= -2/3x+4
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answers
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?
Answers
Answer:
Step-by-step explanation:
Apples- 2
Oranges-4
Bananas- 3
In each basket
8 more than a third of a number
Answers
Answer:
8 + 1/3n
Step-by-step explanation:
Convert the Following: 5.4 oz=__________ mg
Answers
Answer:
153087 mg
Step-by-step explanation:
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
Answers
I don’t understand so please HELPPPPPPPPPPPPPP
Answers
Answer:
C
Step-by-step explanation:
Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units lol you get what im saying so the answer is C hope this HELPSS!!
By the way follow my insta. exotic. jaliyah if you need anymore help
Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.
Answers
Answer:
26 trees
Step-by-step explanation:
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?
Given:
b + 2c + 3j
Where,
b = number of hours Ben spends chopping
c = number of hours Cam spends chopping
j = number of hours Justin spends chopping
Substitute the below into the given expression
b = 8 hours
c = 3 hours
j = 4 hours
b + 2c + 3j
= 8 + 2(3) + 3(4)
= 8 + 6 + 12
= 26 trees
They chopped down 26 trees altogether
SOLVING SYSTEMS:
I just need the work for each equation.
Answers
+ 6 + 6
2x = x + 14
-x -x
x = 14
y = (14) + 8
y = 22
(14 , 22)
I. 2x - 5y = 16
-2x + 20y = -16
15y = 0
/15 /15
y = 0
x - 10(0) = 8
x = 8
(8 , 0)
F. 10x + 6y = -4
2x - 6y = -8
12x = -12
/12 /12
x = -1
2(-1) - 6y = -8
-2 - 6y = -8
+2 +2
-6y = -6
/-6 /-6
y = 1
(-1 , 1)
N. 24x - 3y = 15
2x + 3y = 11
26x = 26
/26 /26
x = 1
2(1) + 3y = 11
2 + 3y = 11
-2 -2
3y = 9
/3 /3
y = 3
(1 , 3)
T. 3x - 2y = -2
6x + 2y = 2
9x = 0
/9 /9
x = 0
-3(0) + 2y = 2
2y = 2
/2 /2
y = 1
(0 , 1)
O. -8x - 4y = 6
5x + 4y = -3
3x = -3
/3 /3
x = -1
-4(-1) - 2y = 3
4 - 2y = 3
-4 -4
-2y = -1
/-2 /-2
y = 1/2
(-1 , 1/2)
I. 8x - 9 = -2x - 4
+2x +2x
10x - 9 = -4
+9 +9
10x = 5
/10 /10
x = 1/2
y = -2(1/2) - 4
y = -1 - 4
y = -5
(1/2 , -5)
D. -6x - 4 = -3x + 5
+3x +3x
-3x - 4 = 5
+4 +4
-3x = 9
/-3 /-3
x = -3
y= -3(-3) + 5
y = 9 + 5
y = 14
(-3 , 14)
S. -9 = -3x - 3y
8 = 4x + 3y
-1 = x
3 = -1 + y
+1 +1
4 = y
(-1 , 4)
R. -5x - 5y = 25
5x - 4y = 2
-9y = 27
/-9 /-9
y = 3
-x - (-3) = 5
-x + 3 = 5
-3 -3
-x = 2
/-1 /-1
x = -2
(-2 , -3)
A. 8y + 3 = 3x
- 3 - 3
8y = 3x - 3
-3x -3x
-3x + 8y = -3
-3x + 8y = -3
Same equation = infinite solutions
K. 8x - 6y = -4
3x + 6y = 4
11x = 0
/11 /11
x = 0
4(0) - 3y = -2
-3y = -2
/-3 /-3
y = 2/3
(0 , 2/3)
T. -5x - 8y = 0
12x + 8y = 56
7x = 56
/7 /7
x = 8
3(8) + 2y = 14
24 + 2y = 14
-24 -24
2y = -10
/2 /2
y = -5
(8 , -5)
Given:x-8>-3
Chose the solution set.
1.{x|x€R,x>-5}
2.{x|x€R,x>14}
3.{x|x€R,x>5}
4.{x|x€R,x>-9}
Answers
Step-by-step explanation:
x - 8 > -3
x > -3 + 8 (add 8 to both sides)
x > 5
Hence 3.{x|x€R,x>5} is correct.
This is a test my sister made to see how smart I am plz help.
Answers
Answer:
16.) second choice: (5,-6)
17.) third choice: (-10) (-8) (-5) (0) (1)
18.) fourth choice: (.18) (0.4) (1/4) (227)
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answers
Answer:
table b i think
Step-by-step explanation:
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answers
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf
Answers
Answer:
0 is the surface of the sea
Step-by-step explanation:
Here, we want to know what zero represents
From the question, we are told that jumping 5 ft below the sea surface represents the depth
-5 ft is same as going 5 units below zero
So therefore, we can have zero representing the sea level
The zero in this case is the surface of the sea
Answer:
B. the surface of the sea
Step-by-step explanation:
have nice day