If A and B are the solutions to the equation x^2-23x+130 , what is the sum of A and B ?
A) -10
B) 10
C) 23
D) 33
E) 50
Answers
Answer:
1 C) 23
2 D) x + y + 2
Step-by-step explanation:
1.
a = 1 , b = -23, c = 130
b²-4ac = (-23)²- 4×1×130 = 529 -520 = 9>0
if solutions (A=x₁, B=x₂) exist (b²-4ac≥0) then based on vieta's formula:
[tex]A+B=x_1+x_2=-\dfrac{b}a=-\dfrac{-23}1=23[/tex]
2.
sum of two even integers is na even integer
sum of two odd integers is na even integer
only sum of an even integer and an odd integer is an odd integer
x is even and y is odd so 2x is even and ±2y is even and x+y is odd
1 is odd and 2 is even which means:
2x±2y is even,
x+y + 1 is even
x-2y is even
only x+y+2 is odd (as sum of odd x+y and even 2)
Related Questions
The midpoint of AB is M(-2,2). If the coordinates of A are (-8, -1), what are
the coordinates of B?
Answers
Answer:
work is attached and shown
The coordinates of the midpoint will be (4,5).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(-2,2) and the coordinates of A are (-8, -1).
The midpoint will be calculated by using the formula below:-
( -8 + x ) / 2 = -2
( -8 + x ) = -4
x = -4 + 8 = 4
( -1 + y ) / 2 = 2
( -1 + y ) = 4 = 1 + 4 = 5
Therefore, the coordinates of the midpoint will be (4,5).
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The time taken to travel between two regional cities is approximately normally distributed with a mean of
70 minutes and a standard deviation of 2 minutes.
The percentage of travel times that are between 66 minutes and 72 minutes is closest to
A. 2.5%
B. 34%
C. 68%
D. 81.5%
E. 95%
Answers
Answer:
D
Step-by-step explanation:
Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.
Answers
A≈63.62m²
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last year the number of cars sold was 39000 more than three times the number of trucks sold there were 216,000 cars sold last year write an equation that can be used to find the number of trucks,t, sold last year. answer
Answers
Answer:
25272 to the 10 power
Step-by-step explanation:
2p²q³×5pq÷10p³q⁴ answer it pls
Answers
p³q⁴
Step-by-step explanation:
given. 2p²q³ × 5pq ÷ 10p³q⁴
multiply. 10p³q⁴ ÷ 10 p³q⁴
Divide. p³q⁴
Ifran owns rectangular parcel of land that’s is 3/4 mile long by 5/8 mile wide. What is the ratio of the length to the width of ifrans land? A15/32 B5/6 C6/5 D32/15
Answers
Answer:
Step-by-step explanation:
(3/4)(5/8) = 15/32
PLEASE HELP WILL GIVE BRAINLIEST -
A, B, and C are the centers of the three circles. Which
line segment is congruent to HF?
Answers
The line segment congruent to line HF will be DF. The correct option is C.
What is congruency?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.
Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.
The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.
Therefore, the line segment congruent to line HF will be DF. The correct option is C.
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What is the distance between P(-3, 10 ) and Q( 12,-6)
Answers
Reciprocal of - 2 and 1/3
Answers
Answer:
3/7
Step-by-step explanation:
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
Please make sure to include each step you took!!!
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answers
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
a - 2(4 - a) = 7a - 12
Step 2: Solve for a
Distribute -2: a - 8 + 2a = 7a - 12
Combine like terms: 3a - 8 = 7a - 12
Subtract 3a on both sides: -8 = 4a - 12
Add 12 on both sides: 4 = 4a
Divide both sides by 4: a = 1
Step 3: Check
Plug in x to verify if it's a solution.
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5
Answer:
a = 1Step-by-step explanation:
equation given: a - 2(4 - a) = 7a - 12
distribute and expand the equation
a - 8 + 2a = 7a - 12
combine similar terms:
a + 2a - 7a = -12 + 8
simplify:
-4a = -4
a = -4 / -4
a = 1proof that a = 1
a - 2(4 - a) = 7a - 12
1 - 2(4 - 1) = 7(1) - 12
1 - 2(3) = 7 - 12
1 - 6 = -5
-5 = -5 therefore, the a = 1 is correct.
Your auto insurance is $900 per quarter. What should you use as the monthly average? The auto insurance is a fixed expense, but we need to convert to monthly:
Answers
Answer:
$225
Step-by-step explanation:
A quarter is made up of 4 months,
If auto insurance is $900 per quarter, the monthly expense would be $900 / 4 = $225
Are these correct? I haven't submitted it yet
Answers
What’s the distance between (0,-2),(-5,-1) round to the nearest ten
Answers
Answer:
d = [tex]\sqrt{26}[/tex] or d = 5.1
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(-5-0)^2+(-1-(-2))^2}\\d= \sqrt{(-5)^2+(1)^2}\\d= \sqrt{25+1}\\d= \sqrt{26}[/tex]
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope = 2. passing through (6,2)
What is the point-slope form of the equation of the line?
Answers
Answer:
Step-by-step explanation:
y - 2 = 2(x - 6)
y - 2 = 2x - 12
y = 2x - 10
Look at the two points on the number line. Each number
graphed is the square root of a whole number that is not
a perfect square. Write the appropriate square root in
each box. Explain how you found your answers.
Answers
Answer:
√8 and √23
Step-by-step explanation:
The appropriate square root are √7 and √20.
Given that, each number graphed is the square root of a whole number that is not a perfect square.
We need to write the appropriate square root in each box.
What is a square root?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Now, we can see the decimal numbers marked on the number line are 2.7 and 4.39.
So, 2.62²=6.8644≈7
Then the square root of number is √7
4.39²=19.2721
Then the square root of number is √20
Therefore, the appropriate square root are √7 and √20.
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Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.
Answers
Answer:
Step-by-step explanation:
Domain : Set of all possible input values (x-values) on a graph
Codomain : Set of all possible out values for the input values (y-values) on the graph
Range : Actual output values for the input values (x-values) given on the graph.
Therefore, for the given graph,
Domain : (-∞, ∞)
Codomain : (-∞, 2]
Range : (-∞, 2]
From the given graph every input value there is a image or output value.
Therefore, the given function is onto.
How do you find Slope on a graph?
Answers
(20 points & brainliest)
Answers
Answer:
Perimeter: 42cm
Area: 66cm^2
Step-by-step explanation:
Answer:
P42 cm - P26 cm = 16 cm + 13 cm = P = 26 cm
Step-by-step explanation:
Those are two rectangles. One total and deduct the missing piece.
P=2(l+w)
First: Total 12 by 9 rectangles = P42 cm
Second: Lengths = 12 -5 = 7 and 9-3 = 6 = P=26
Thirs: add the missing lengts! 7 + 6 cm
which equation shows P=2l + 2w when solved for w?
A. w= 2l/P
B. w= 2l-P/2
C. w=2l - p/2
D. w=p-2l/2
Answers
Solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.
Change of Subject of FormulaTo make a variable a subject of the formula, we solve for the variable.
Given the equation, P=2l + 2w, we are required to solve for w.
Thus:
P = 2l + 2w
Subtract both sides by 2l
P - 2l = 2w
Divide both sides by 2
(P - 2l)/2 = w
w = (P - 2l)/2
Therefore, solving for w by making w the subject of the formula, we would have: D. w = (P - 2l)/2.
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3. Tyler said this net cannot be a net for
a square prism because not all the laces
are squares
Do you agree with him?
Explain your reasoning,
Answers
Agree..............
The intervals between levels 1 through 9 are equal. Compare the differences in
population from level 1 to 5 and from 6 to 9. Are they equal? Why or why not?
Answers
Answer: no they are not equal because 1 to 5 is + 4 and 6 to 9 is + 3
Please mark me as Brainliest
Solve 7+3x-12x=3x+1 What does X equal?? plz help!
Answers
Answer:
x = 0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
7+3x-12x=3x+1
-3x =-3x cross out 3x
[tex]7-12x=1[/tex] subtract 7 on both sides
-7 =-7
[tex]-12x=-6[/tex] divide -12 into both sides
[tex]\frac{-12x}{-12} = \frac{-6}{-12}[/tex] cross out -12 and divide -6/-12 = 0.5
To check
7+3(0.5)=8.5 - 12(0.5)=2.5
3(0.5)=1.5+1= 2.5
The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6
Answers
Answer:
160
Step-by-step explanation:
Just add lol fjfjfjfjjd
2x^2 + 19x + 40 = -2
Answers
Answer:
X = - 7/2 or -6
Step-by-step explanation:
2x^2 + 19x + 40 = -2
2x^2 +19x + 40+2 = 0
2x^2 + 12x +7x+42= 0
2x(x+6) 7(x+6) =0
(2x+7) (x+6) = 0
2x+7 = 0
2x = -7
2x÷2=-7÷2
X= -7÷2 and
X+6=0
X=-6
Solve the linear equation by
combining like terms:
32 – 8 + 3x = 7x
Answers
Answer:
x=6
Step-by-step explanation:
I hope this helps you
Answer:
32-8 + 3x = 7x
24 + 3x = 7x
Then subtract the 3x and move it to the other side
24 = 4x
Then divide both side by 4
24/4 = 4x/4
The answer is
x = 6
Evaluate for x=-7 and y=-3 11x - 4y
Answers
Answer:
Is -65
Step-by-step explanation:
Used a calculator
Step-by-step explanation:
x=-7 so 11x becomes 11 x-7
11 x -7=-77
y=-3 so -4y becomes -4 x -3
-4 x -3=-12
-77-12=-89
I hope it helps!
x + 8 = 4
help me to doive this
Answers
Answer:
-4
Step-by-step explanation:
thats the answer
Answer:
X= -4
Step-by-step explanation:
X+8=4 this is a one step equation first, you subtract 8 on both sides that gives you
x=-4
thats your answer
Evaluate each expression if a = -2, b=3, and c = 4.2.
1. a – 2b + 3c
2. 2a + (6 + 3)^2
Answers
Answer:
2.677Step-by-step explanation:
1) a-2b+3c
(-2)-2(3) +3(4.2)-4-6+12.6-10+12.62.62) 2a+(6+3)²
2(-2)+(9)²-4+81773. The expanded form of a number is shown below.
(9x1)+(1x1/10)+(6x1/100)+(3x1/1000) What is the number written
in standard form?
A. 91.63
C. 9.106003
B. 9.163
D. 9.0163
Answers
a roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 seats are empty. write an equation that can be used to determine the number of seats in each car, s
what would that be as an algebraic expression?
Answers
Given:
Number of passengers seated in the roller coaster = 21
Empty seats = 3
Number of cars in roller coaster = 4 (each with the same number of seats)
To find:
An equation that can be used to determine the number of seats in each car.
Solution:
Let s be the number of seats in each car.
Total number of seats in 4 cars = 4s
Using the given information,
Total number of seats = Occupied seated + Empty seats
= 21 + 3
= 24
Now, the required equation is
[tex]4s=24[/tex]
Therefore, the required equation is [tex]4s=24[/tex].
Divide both sides by 4.
[tex]s=\dfrac{24}{4}[/tex]
[tex]s=6[/tex]
Therefore, the number of seats in each car is 6.