X^2+3x+4=(x+a)^2+b what is A and B equal please help me

Answers

Answer 1

Answer:

a = 1.5, b = 1.75

Step-by-step explanation:

Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.

(x + a)² + b

= x² + 2ax + a² + b , then compare to

x² + 3x + 4

Comparing the coefficients of the x- terms

2a = 3 ( divide both sides by 2 )

a = 1.5

Comparing the constant terms

a² + b = 4

1.5² + b = 4

2.25 + b = 4 ( subtract 2.25 from both sides )

b = 1.75


Related Questions

Darron bought a new PS5. He made a down payment of $300, and he will pay $50 each month until the phone is paid off. Which equation represents the relationship between x, the number of monthly payments Darron has made, and y, the total amount he has paid?
A. y= 50x + 300

B. y= -50x + 300

C. x= 50y + 300

D. y= 50x – 300

Answers

Answer:

A

x=months y=total payment

vote brainliest

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Answers

Answer:

y=3x+10 is (0,10) and y=2x 9 is (0,0)

Step-by-step explanation:

is this the answer you were looking for

Answer

(x,y)= (-10, -20)

Step-by-step explanation:

As both equations have y separated, we can conclude they are equal. Hence,

[tex]2x=3x+10\\x=-10\\y= 2(-10)\\y=-20[/tex]

Pls help me with this math question.

Answers

Answer: D

Step-by-step explanation:

D would be the line segment closest to having a 90 degree angle.

Answer:

Step-by-step explanation:

D

Final question please almost done

Answers

Answer:

ill say 75.00

Step-by-step explanation:

please help me understand

Answers

Answer:

x=4

y=6

Step-by-step explanation:

We need to find value of x and y if RS bisects AB and RS = 28

We are given: RS = 28

and We can see from figure that: RT= 3y-7 and TS = 2y+5

And we can observe that RT + TS = 36

So, putting all the values, we can find value of y

[tex]3y-7+2y+5=28[/tex]

Solving this equation, will find value of y

[tex]3y+2y+5-7=28\\5y-2=28\\5y=28+2\\5y=30\\y=\frac{30}{5}\\y=6[/tex]

So, we get value of y: y=6

Now, we also know that RS bisects the line AB. It means it divides both the lines equally.

So, we can write: AT = TB

Putting values we can find value of x

We have AT = 4x-2

TB = 4y+2

and y =6

[tex]4x-2 = 4y+2\\4x-2=4(6)+2\\4x-2=12+2\\4x=14+2\\4x=16\\x=\frac{16}{4}\\x=4[/tex]

So, we get value of x: x=4

The measure of an exterior angle of a regular polygon is given below. Find the measure of an interior angle. Then find the number of sides.
40
What is the measure of an interior​ angle?

Answers

Answer:

The polygon has 9sides with an interior angle measure of 140°

Step-by-step explanation:

The exterior angle of a regular polygon=360°/n

40°=360°/n

n=360°/40°=9

So the polygon has 9 sides thus, a nonagon.

The measure of the interior angle=(n-2)180°/n

=(9-2)×180°/9=140°

g(a) = –2a^2 – 2; Find g(-4n)

Answers

Answer:

choose last option.

Step-by-step explanation:

Given

g(a) = - 2a² - 2

g(-4n) = - 2 ( -4n) ² - 2

= -2 * 16n² - 2

= -32n² - 2

-32n(2)-2, good luck

A library checks out 1,592 books per day. How many books does it check out in 31 days?

Answers

Answer:

the library checks out 49352 books in 31 days.

Step-by-step explanation:

1592 x 31 = 49352

What is the measure of

PLEASE HELP HURRY

Answers

Answer:

112.5°

in pretty sure that's the answer

112.5° is the answer because 8x=180 which then means x=22.5

I need the reflection on this one

Answers

your line is y = -x ,, which goes through quad 2 and quad 4

The rule for this line is:
( x, y ) —> ( -y, -x )

which in your case is:
(2,-5) —> (5,-2)
(2,-8) —> (8,-2)
(-8,-5) —> (5,8)
(-8,-8) —> (8,8)

then plot those new points in the grid and that’s the reflection of your rectangle



The temperature in one northern city was -12°F and in a southern city was 57°F. How much warmer
was the southern city than the northern city?

Answers

Answer

69°F

Because

12+57=69

Directed line segment overline FG has endpoints F(4, 9) and G(- 8, - 9) .On the coordinate plane below , plot a point that partitions the directed line segment in a ratio of Point 1/2 Undo Reda x Reset 10 8 7 65 443 2

Answers

Answer:

The coordinates of the point that makes the division in the given ratio is (0,3)

Step-by-step explanation:

Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2

We simply use the internal division formula

That would be;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

m = 1 and n = 2

(x1,y1) = (4,9)

(x2,y2) = (-8,-9)

Substituting these values into the formula, we have;

2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)

= (8-8)/3 , (18-9)/3

= (0,3)

multiple x^2/3•x^1/5

Answers

Multiply x^2/3*x^1/5 by adding the exponents
Answer= x^13/15


Find the value of X, Y, Z

Answers

Answer:

Answers are in photo

Step-by-step explanation:

Do it in terms of ratio

Does anybody know answer to this plsssss

Answers

9514 1404 393

Answer:

  (a)  4(2x^5 +x^2 -3)

Step-by-step explanation:

The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.

  8x^5 +4x -12 = 4(2x^4 +x -3)

{(1, 7.6) (2, 7.2) (3, 6.8) (4, 6.4) (5, 6) (6, 5.6)}

Is this a function or no?

Answers

Answer:

Yes

Step-by-step explanation:

Let's put them vertically because that helps me explain this

x, y

1, 7.6

2, 7.2

3, 6.8

4, 6.4

5, 6

6, 5.6

                                           

For this to be a function there should be one output for every input, the y coordinates are our outputs and as you can see none of them repeat so this is a function.

what is the graph of 3x+5y=-15?

Answers

Answer:

Root: (-5,0)

Vertical Intercept: (0,-3)

m = -3/5

b = -3

Step-by-step explanation:

I hope it’s helpful

Help please and thank you!

Answers

17.5, i’m pretty sure :)

I really help with this ill mark u brainliest pls

Answers

Answer:

[tex] m\angle XYW = (155 - 20x

)\degree [/tex]

Step-by-step explanation:

[tex]m\angle XYZ= m\angle XYW +m\angle WYZ\\\\

150\degree = m\angle XYW +(20x-5)\degree \\\\

150\degree - (20x-5)\degree = m\angle XYW \\\\

(150 - 20x

+5)\degree = m\angle XYW \\\\

(155 - 20x

)\degree = m\angle XYW \\\\

m\angle XYW = (155 - 20x

)\degree \\\\

[/tex]

Plz help 2 more questions left

Answers

Answer:

1st ? -> -6x

2nd ? -> 4x

3rd ? from left -> 4x

4th ? -> 24

5th ? -> 6

1 of 5
© Angad and Nick win some money and share it in the ratio 5:1. Angad gets £60 more than Nick.
How much did Nick get?

Answers

Answer:

£15

Step-by-step explanation:

Angad : Nick = 5 : 1

Let

Nick share = x

Angad share = x + £60

Angad : Nick

5 : 1 = x + £60 : x

5/1 = x + 60 / x

Cross product

5 * x = 1 * x + 60

5x = x + 60

5x - x = 60

4x = 60

x = 60/4

x = 15

Nick get £15

Choose the fraction below that would make the following proportion true.
2/3 = ?/?

A. 2/5
B. 6/9
C. 4/5
D. 8/9

Answers

its BBBBBBBBBBBBBBBBBB
the fraction below that would make the following proportion true is (B)

If triangle ABC ~ DEC, find x and the scale factor of ABC to DEC

Answers

The awnser is b j in think

The value of x from the figure is 4

Similar triangle

From the figure given we are told that ABC ~ DEC. Hence to get the value of x we will use the relationship shown;

25/3x-2 =  20/2x

Cross multiply

25(2x) = 20(3x - 2)

50x = 60x - 40

50x - 60x =-40

-10x = -40

x = 4

Hence the value of x from the figure is 4

Learn more on similar triangles here; https://brainly.com/question/2644832

pleasee help !!! finding equation of the image

Answers

Answer:

A

Step-by-step explanation:

Here, we want to write the final formula for the equation after performing the given transformations

Reflection on the y-axis means the x-axis value will change sign

that will give:

y = -x^1/3

Transition of 3 units in the positive x axis

mathematically, we are adding 3 to x

so we have

y = -(x+3)^1/3

4 units in the negative y direction means we are subtracting 4 from the whole equation

That means;

y = -(x + 3)^1/3 - 4

This shows that the first option is right

Try this!

Arrange the following set of numbers in increasing and decreasing orders.

1.{3, -4, 0, 6, -2}

2.{2.5, 0.3, 5.25, -0.7, 1.2}

3. {2, 0.8 -√8, -4.7, 6⅓}

Decreasing:____________

Increasing:____________

Decreasing:____________

Increasing:____________

Decreasing:____________

Increasing:____________

all time let us have a review about your past topic about multiplying numbers by power of 10

1. 0.042 x 10=

2. 7.331 x 100=

3 0.125 x 1000 =

4. 1.031 x 0.1=

5. 21.5 x 0.001 =

need now
:plss wag nyu na ih answer kung mali rin ih answer nyu huhh!​

Answers

Answer:

23446

76532

12839

09192

29292

If 5e = 45, then what does 7e equal?

Answers

45/5 = 9
e = 9

7 x 9 = 63

7e = 63

Answer:

7e = 63

Step-by-step explanation:

5e = 45

divide by 5 on both sides

5e/5 = 45/5

e = 9

So all you have to do is multiply 7 by 9 since ur substituting the x with ur answer

7(9) = 63

7e = 63

Hope this helped

10 boys clear a piece of land in 21 days. How many days will it take 7 boys to clear the same land at the same rate
Pls i need answer fast​

Answers

Given:

10 boys clear a piece of land in 21 days.

To find:

The number of days it will take 7 boys to clear the same land at the same rate.

Solution:

We have,

10 boys clear a piece of land in 21 days.

Total work = [tex]10\times 21[/tex]

                 = [tex]210[/tex]

Let 7 boys clear the same piece of land in x days.

Total work = [tex]7\times x[/tex]

                 = [tex]7x[/tex]

Now, the total work is same.

[tex]7x=210[/tex]

Divide both sides by 7.

[tex]x=\dfrac{210}{7}[/tex]

[tex]x=30[/tex]

Therefore, 7 boys clear the same piece of land in 30 days.

the number of employees for a certain company has been decreasing each year by 2% if the company currently has 870 employees and this rate continues, find the number of employees in 9 year

Answers

Step-by-step explanation:

Number of employees in 9 years

= 870 * (1 - 0.02)⁹

= 870 * (0.98)⁹

≈ 725 employees.

14) Mr. Johnston has between 25 and 30 students each class period. The
principal told Mr. Johnston to expect a 25% increase in class size for the
upcoming school year. Based on this information, which best describes the
number of additional students Mr. Johnston can expect in each class?

Answers

31-37 because 25% of 25 is 6 and that plus 25 because that is the number of original students is 31. And it is the same thing with the 30%

Please help!!!! Needs to be answered soon!

Answers

Answer:

This is NOT a graph :)

Step-by-step explanation:

Yes, this is a relation a function
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