1. How do you determine the constant that you should add to an expression in the form x^2+bx so that it becomes a perfect square trinomial?
2. When solving a quadratic equation by completing the square, why must you add the number that completes the square to both sides of the equation?
3. Why might you discard a negative solution in a real-world problem?

Answers

Answer 1

now heres a step by step explanation Step-by-step explanation: your welcome


Related Questions

Do question 9 for 18 points.

Answers

Answer:

yes

no

yes

yes

no

no

yes

no

yes

yes

sry if I am wrong

Which equation represents the circle shown?

Answers

Answer:

A. i think

Step-by-step explanation:

because it can't be E. (there is no 3 in-between the circle) And it can't be D. Because there isn't a 16 inbetween the circle and plus etc! and it could be C. also, because it is 4 and 4 is in-between the circle but, the difference between the answer A and C is the plus sign or the minus sign so let's think about that, it could be A or C............A. says (x-3)2 + (y-3)2=4 that seems correct and C. says (x+3)2 + (y+3)2 = 4.......we do not add in this case so it is definitely A. :)

Answer:

(x − 3)2 + (y − 3)2 = 4

Step-by-step explanation:

If d(x)=9x^2 and g(x)=5x+7 then d(x)-g(x) can be rewritten as

Answers

Answer:

[tex]9x^2-5x-7[/tex]

Step-by-step explanation:

[tex]d(x)=9x^2\\g(x)=5x+7\\d(x)-g(x)=\\(9x^2)-(5x+7)=\\9x^2-5x-7[/tex]

Hope this helps!

Answer:

[tex]9x^{2} -5x-7[/tex]

Step-by-step explanation:

You deposit $600 in a savings account. the account earn 4% simple interest per year.

Answers

Answer:

use some memes juice

Step-by-step explanation:

memes

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Which inequality can you use to find the number of cups of yogurt Monica can buy?

Answers

Answer:

1.20x + 2.5 ≤ 20

Step-by-step explanation:

This would be the best inequality to use.

How much Cups She Can Buy

x is the ammount of cups so we will solve for x

Subtract 2.5 from both sides

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Divide both sides by 1.20

1.20x/1.20 ≤ 17.5/1.20

x ≤ 14.5833...

She can buy 14 cups

Step-by-step explanation:

Step 1:  Make an equation

20 ≥ 2.50 + 1.20x ← Best inequality

Step 2:  Subtract 2.50 from both sides

20 - 2.50 ≥ 2.50 - 2.50 + 1.20x

17.5 ≥ 1.20x

Step 3:  Divide both sides by 1.20

17.5 / 1.20 ≥ 1.20x / 1.20

14.583... ≥ x

Answer: The max amount of full yogurts that she can buy is 14

Simply by using order of operations 4+(9•2)+(4-1)-4

Answers

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

4+(9•2)+(4-1)-4

PEMDAS says parentheses first

4+(18)+(3)-4

Then add and subtract from left to right

22 +3-4

25 -4

21

HCF(320, x) = 20, LCM(320, x) = 2240, then x =

Answers

Answer:

  140

Step-by-step explanation:

When working HCF and LCM problems, I like to think in terms of this little diagram:

  (a [ b ) c]

It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.

__

Here, we're given ...

  b = 20

  ab = 320

  abc = 2240

Then ...

  c = abc/(ab) = 2240/320 = 7

  x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320

  x = 140

A game is played using two spinners. Spinner A has four sections labelled 2, 4, 6, 8 and Spinner B has labelled 1, 3, 5. Players spin both spinners and add the numbers together. B) the game is used in a school to raise money for charity. Each player plays 20p to play the game. To win a lolly pop you have to score a 7 exactly, and each of these lolly pops costs the school 30p. How much should the school expect to raise if 120 kids play the game ?

Answers

Answer:

1500p

Step-by-step explanation:

The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:

4 * 3 = 12

From these 12 possible pair of values, the ones that give a sum of 7 are:

(6,1), (4,3) and (2,5).

We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%

To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:

120 * (0.25 * (-10) + 0.75 * (20)) = 1500p

hey guys, can someone pls help me with the questions marked in red!!! will give brainliest!!!

Answers

Answer:

For y=x-3. (0,2) the equation is y=x+2

For y=3-x. (0,2) the equation is y=2-x

For y=3x+1. (0,3) the equation is y=3x+3

For y=-1/2x+4. (0,1) the equation is y=-1/2x+1

Step-by-step explanation:

How I got my answers:

First rewrite the equation to the form y=mx+bm will be the gradient and a line parallel to another has the same gradient or m.b will be the y intercept.

For y=x-3: the gradient is 1 because we do not have anything before x.

For the points given for example (0,2) x is zero  and y-intercept is 2. same for the rest of the points.

Now you can write your equation in the form y=mx+b

where m is your gradient, and b is the y point. So you say y=1x+2 for the first one. Do the same for the rest. Remember 1x is the same as x so you can leave out 1.

You can comment if you did not understand my explanation because this explained how you can do it.

correct answers only!

To the nearest cent, how much will she have in 3 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$13,260

Step-by-step explanation:

B = 3000(1 + 0.14)t = 3(1.14)t

Plugging in 3 for t, we get B = 3000 * 1.14 * 3 = 10,260. This is just the interest though. We still have to add back the original $3,000, and when we do so, we get 3000 + 10260 = $13,260. Hope this helps!

Answer:

4444.63

Step-by-step explanation:

B = 3000(1 +0.14)^3

B = 3000(1.14)^3

B =4444.632 or 4444.63

Solve the quadratic equation. x2+2x−8=0

Answers

Answer:

x=2 x=-4

Step-by-step explanation:

x2+2x−8=0

Step 1: Factor left side of equation.

(x−2)(x+4)=0

Step 2: Set factors equal to 0.

x−2=0 or x+4=0

x=2 or x=−4

Answer:

x=2 or x=−4

Answer:

x=2 or x=-4

Step-by-step explanation:

ax^2+bx+c=0

when solving this equation you should find two numbers that if we multiply them we get c and when we subtract them we get b so in this equation we get 2 and -4



Suppose a pyramid's dimensions are tripled. What is the ratio of this new, larger pyramid's volume to that of the

original pyramid?

Answers

Answer:

27:1

Step-by-step explanation:

If the dimensions of the original pyramid are tripled then the ration between the new, larger pyramid and the old one would be 27:1 . This can be calculated by first calculating the volume of a pyramid and then doing the same but with dimensions 3 times the old one. Then divide the volume of the new one with that of the old one.

Volume of Pyramid = [tex]\frac{length * width * height}{3}[/tex]

Volume Pyramid 1 = [tex]\frac{3*3*3}{3}[/tex] = 9

Volume Pyramid 2 = [tex]\frac{9 * 9 * 9}{3}[/tex] = 243

243/9  =  27/1 or  27:1

Answer:

The new volume is 27 times the original volume.

Edgenuty

what is the answer to this

Answers

Answer:

5 over 4x

i used photomath so it should be right

x/a+x/b=1
make x the subject of the formular​

Answers

Answer:

x = [tex]\frac{ab}{b+a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{a}[/tex] + [tex]\frac{x}{b}[/tex] = 1

Multiply through by ab to clear the fractions

bx + ax = ab ← factor out x from each term on the left side

x(b + a) = ab ← divide both sides by (b + a)

x = [tex]\frac{ab}{b+a}[/tex]

Which expression equals 9 cubed square root 10

Answers

Answer:

B

Step-by-step explanation:

Who were the tributes paid to?

Answers

Answer:

The Aztecs made conquered people pay tributes, and asked cities, states, and countries to pay.

Hope this helps :)

Write an equation to represent the following statement.
The sum of j and 47 is 55
.

Answers

Answer:

j + 47 = 53

Step-by-step explanation:

Write an equation to represent the following statement.
The sum of j and 47 is 55
.so it’s 66

E
13
12
D 5
F
cos(F)
Check
sin(F) =
Check
tan(F) =

Answers

Answer:

see explanation

Step-by-step explanation:

cos F = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FD}{EF}[/tex] = [tex]\frac{5}{13}[/tex]

sin F = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ED}{EF}[/tex] = [tex]\frac{12}{13}[/tex]

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{ED}{FD}[/tex] = [tex]\frac{12}{5}[/tex]

Domain and Range for the graph please

Answers

Answer:

Domain: 0 ≤ x ≤ 5

Range: 4 ≤ y ≤ -1

Step-by-step explanation:

Since the graph is not infinite and ends in two points, the domain and range are also not infinite where there is a range of numbers that the domain and range of the graph fall into. Hope this helps!!

a third degree binomial with a constant term of 8

Answers

Answer:

x^3+8

The polynomial given may be: x^3 + 8. One choice

Step-by-step explanation:

The polynomial given may be: x^3 + 8. One choice

x^3+8

Answer is above

Hope this helps.

Please help fast will give brainliest

Answers

Answer:

b

Step-by-step explanation:

A craft project requires 5/6 yard of ribbon to make 4 refrigerator magnets. How many inches of ribbon are needed for each magnet?

Answers

Answer:

30 inches/4=7.5 inches

Step-by-step explanation:

Answer:

7.5 inches

Step-by-step explanation:

Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches

Help Please! Some cities in Europe are thousands of years old. Often the small center of the old city is surrounded by a newer “ring road” that allows traffic to bypass the old streets. The figure shows a circular ring road and two roads that provide access to the old city. Find mCBD. FULL QUESTION IN PICTURE

Answers

Answer:

CBD = 82°

Step-by-step explanation:

From the chords relations in a circle, we have that when two chords intersects, we have the following angles:

CBF = DBE =  (1/2) * (arc(CF) + arc(DE))

CBD = FBE = (1/2) * (arc(CD) + arc(EF))

So, using the second equation to find the value of the angle CBD, we have that:

CBD = (1/2) * (100 + 64)

CBD = (1/2) * 164

CBD = 82°

Please help me with this question!!
Find angle x and y.

Answers

Answer:

x= 100º

y= 260º

Step-by-step explanation:

x= 180º-42º-38º

x= 100º

y= 360º-100º

y=260º

(I'm not sure if it's right, but I hope I helped :) )

Answer:

x =80°

y = 280°

Step-by-step explanation:

Given: [tex] AB \parallel CD[/tex]

Extend segment CE in the direction of E in such a way that it intersects ray AB at point say P.

[tex]\therefore m\angle APE = m\angle ECD..(Alternate\: \angle s)\\

\because m\angle ECD = 42°\\

\therefore m\angle APE = 42°\\[/tex]

So, x° would be the exterior angle of [tex] \triangle AEP.[/tex]

Hence, by remote interior angle theorem of a triangle, we have:

[tex]x = 38° + 42°\\

\huge\purple{\boxed{x = 80° }}\\\\

y = 360\degree - 80\degree\\

\huge\red{\boxed{y= 280\degree}}[/tex]

Calcula la distancia "d" que debe recorrer un obrero para llegar hasta el punto mas alto de la rampa si dicha rampa mide 25 metros de base y tiene un angulo de inclinación de 21º en la subida y 28º en la bajada

Answers

Answer:

Step-by-step explanation:

HELP!! Deadline is this afternoon!!!
Find the area of a circle with diameter 18in . Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer:

254.34[tex]inches^2[/tex]

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi*radius^2[/tex]

The radius is the length from the side to the centre.

Pi=3.14

In order to work out the area you would first need to work out the radius. You can do this by dividing the diameter of 18 by 2, this gives you 9. This is because the radius is half of the diameter.

Now that we have worked out the radius the next step is to work out the area. You can do this by multiplying pi by the radius of 9 squared, this gives you 254.34 inches squared.

1) Divide 18 by 2.

[tex]18/2=9inches[/tex]

2) Multiply pi by 9 squared.

[tex]\pi*9^2=254.34inches^2[/tex]

254.34
First find the radius, 9
Times the 9 by itself, 81
81 times pi, 254.34

I know this is like the 700th question I've asked​

Answers

Answer:

BC = 15

Step-by-step explanation:

Because of parallel lines, AD and BE, triangles ADC and BEC are similar.

In similar triangles, the lengths of corresponding sides are proportional.

AC/BC = DC/EC

We see that AC = AB + BC = 3 + BC

Also, DC = DE + EC = 2 + 10 = 12

(3 + BC)/BC = 12/10

(3 + BC)/BC = 6/5

Cross multiply.

5(3 + BC) = 6BC

15 + 5BC = 6BC

15 = BC

BC = 15

Brianna went to the store to buy some clothes. She bought 9 pairs of pants at $20 per pair of pants, and 11 shirts that cost $15 each. Which of the following is a good estimation of how much money Brianna spent at the store?

Answers

Answer:

$345 : whichever is closest

Step-by-step explanation:

Pants were $20 each and she bought 9 of them so multiply:

9x20=180

She paid $180 for 9 pants.

Shirts cost $15 each and she bought 11 of them so Mulitply:

15x11=165

She paid $165 for 11 shirts

Add both totals from pants and shirts

165+180=$345

Answer: 350

Step-by-step explanation: I dont really now how but 345 is close to 350 and my learning app says so.I'M really bad at math but if get this questoin an Modymax than the awsnser is 350.

A, B & C form a triangle where BAC = 90° . AB = 7.3 mm and CA = 7.4 mm. Find the length of BC giving your answer rounded to 1 DP.

Answers

Answer:

BC ≈ 10.4 mm(1 decimal)

Step-by-step explanation:

The question forms a right angle triangle. The angle BAC = 90°. The side AB = 7.3 mm and the side CA = 7.4 mm. The length of BC can be solved below.

AC = opposite side = 7.4 mm

AB = adjacent side = 7.3 mm

BC = hypotenuse = ?

Using pythagoras theorem we can find the longest side which is the hypotenuse

c² = a² + b²(pythagoras formular)

where

c = hypotenuse side

BC² = 7.4² + 7.3²

BC² = 54.76 + 53.29

BC² = 108.05

square root both sides

BC = √108.05

BC = 10.3947101931

BC ≈ 10.4 mm(1 decimal place)

4 + (-6) =
-6 +(-5)=

Answers

Answer:

4 + (-6) = -2

-6 +(-5)=-11

Step-by-step explanation:

4 + (-6) =  4-6=-2

-6 +(-5)= -6-5 = -11

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