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

If A And B Are The Solutions To The Equation X^2-23x+130 , What Is The Sum Of A And B ? A) -10B) 10C)

Answers

Answer 1

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

Find the area and circumference of each circle with diameter 9m. Keep your answers in terms of pi.​

Answers

I got the answer from google is:

A≈63.62m²

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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

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

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

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!

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

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:

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]


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.

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 Formula

To 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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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

Are these correct? I haven't submitted it yet

Answers

I think so but I could always be wrong

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

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

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 = 1

Step-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 = 1

proof 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.

Evaluate each expression if a = -2, b=3, and c = 4.2.

1. a – 2b + 3c

2. 2a + (6 + 3)^2

Answers

Answer:

2.677

Step-by-step explanation:

1) a-2b+3c

(-2)-2(3) +3(4.2)-4-6+12.6-10+12.62.6

2) 2a+(6+3)²

2(-2)+(9)²-4+8177

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

3. 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

I believe it’s c because the number written is a standard porabala which it’s standard

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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Reciprocal of - 2 and 1/3

Answers

Answer:

3/7

Step-by-step explanation:

the reciprocal is -3/7

2p²q³×5pq÷10p³q⁴ answer it pls

Answers

p³q⁴

Step-by-step explanation:

given. 2p²q³ × 5pq ÷ 10p³q⁴

multiply. 10p³q⁴ ÷ 10 p³q⁴

Divide. p³q⁴

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.

How do you find Slope on a graph?

Answers

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope). hopes this helps ()

(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

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 answer would be DF

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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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 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:

What is the distance between P(-3, 10 ) and Q( 12,-6)

Answers

(15, 16) you’re welcome lol

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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