I need help with the quadratic formula questions.

Answer:

x = 7

Step-by-step explanation:

BD is an angle bisector of ∠ABC,

Therefore, by angle bisector theorem,

∠ABD ≅ ∠CBD

m∠ABD = m∠CBD

(2x + y) = (14 + y)

2x = 14

x = 7

Answer:People often use the terms free enterprise, free market, or capitalism to describe the economic system of the United States. A free enterprise economy has five important characteristics. They are: economic freedom, voluntary (willing) exchange, private property rights, the profit motive, and competition.

Step-by-step explanation:

Answer:

Property rights are social institutions that govern the ownership, use and disposal of resources, goods and services.

Allied to the property rights is freedom of enterprise which is another basic feature of a market economy. Freedom of enterprise means that everybody is free to engage in whatever economic activity he pleases. In other words, he is free to choose to work in any industry he likes or adopts any occupation or trade he desires.

No individuals would work and save if adequate incentives are not provided to them in the form of wages and interest respectively. Similarly, the firms will not produce goods and services and bear risk of losing money if sufficient incentives are not given to them. Profits are earned from undertak­ing the task of producing goods and services and introducing new products and new techniques of production. Profits earned by the firm depend on prices of goods and services produced and cost incurred.

In ordinary speech the word market means a place where buyers and sellers meet to buy and sell goods. In economics, market has a wider meaning and is interpreted to mean any arrangement that enables buyers and sellers to exchange things; they may contact each other through telephone, fax or direct computer link to negotiate prices of goods they buy and sell. In our above example, rational and self-interested consumers and profit-maximizing firms contact each other through any media and buy and sell things on the negotiated price.

Answer:y =  y = -7x

Step-by-step explanation: y - 14 = -7(x - (-2))

y - 14 = -7x - 14

Answer: i. Cost of adult ticket = $ 30

ii.  Cost of child ticket = $20

Step-by-step explanation:

Define variables:

Let x= cost of 1 adult tickets , y= cost of 1 child tickets.

Form linear equations:

5x+3y = 210      (i)

2x+5y= 160  (ii)

Multiply (i) by 2 and (ii) by 5

10x +6y = 420       (iii)

10x+25y = 800        (iv)

Eliminate (iii) from (iv)

19y = 380

⇒ y= 20

Put this in (i)

[tex]5x+3(20)=210\Rightarrow\ 5x+60 = 210\\\\\Rightarrow\ 5x=150\\\\\Rightarrow\ x=30[/tex]

Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20

Step-by-step explanation:

What is X+Y?

First note that if x + y = xy then neither x nor y can be equal to 1.

That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.

Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.

How to solve your question

Your question is

(+)−7+8

Simplify

1. Eliminate redundant parentheses

(+)−7+8

+−7+82

Add the numbers

+−7+8

++1

Solution

++1

Answer:

g(h(- 8)) = 119

Step-by-step explanation:

Evaluate h(- 8), then substitute the result obtained into g(x), that is

h(- 8) = (- 8)² - 2 = 64 - 2 = 62, then

g(62) = 2(62) - 5 = 124 - 5 = 119

Answer:

−3(x+9)

Step-by-step explanation:

Answer:

1. 12  2. 12  3.1/8    4. 11  5. -15   6.-60   7.20  8.225

Step-by-step explanation:

Given that :

m=2 and n=16 , p = {1-6 =-5}  then;

1.  m+10 = 2+10 = 12

2. n-4 = 16-4 = 12

3. m / n = 2/16 = 1/8

4. 6m - 1 = 6*2 - 1 = 12 -1 = 11

5. 3p =3* -5 = -15

6.12 p = 12* -5 = -60

7. 12m-4 = 12*2 - 4 = 24 -4 =20

8. 9p² = 9*-5² = 9 * 25 = 225

Answer:

32.8

Step-by-step explanation:

Answer:

2079

Step-by-step explanation:

Homes without children outnumbers homes with children by about 7 to 5 ;

If number of children = 3564

Number of homes without children :

Expressing the relaship interms of ratio :

Without children : with children = 7 :5

Total ratio = 7 + 5 = 12

Number of homes without children:

(7 / 12) * 3564

0.5833333 * 3564

= 2079

Answer:

24

Step-by-step explanation:

Add up all the sides to fid the perimeter. 6+6+8+4=24

Answer:

12.56

Step-by-step explanation:

yw

Answer:

A

Step-by-step explanation:

I am 100% sure

34+x+90 =180(Angle sum property of triangle )

124 +x =180

x= 180-124

x= 56

Answer:

Step-by-step explanation:

A= 1/2 bh

10.98  = 1/2b (3.6)

10.98=b/2 (3.6)

10.98=b (1.8)

10.98/1.8=b

6.1=b

help

9/6

what 72 ty76uddjxxjhzh38488

Answer:

i think it is 5

Step-by-step explanation:

Answer:

3/5 or 0.6

Step-by-step explanation:

i dont really get the question, but 6+4= 10.

Answer:

6 units

Step-by-step explanation:

They are on the same y-point and so you just have to count the spaces between them on the x-axis.

12 units is the distance between q and r

Answer:

It would be C. 13

Step-by-step explanation:

if you line up the two lines of n and 13cm they aren't equal so I would have to say 13. sorry if I'm wrong

Answer:

what's the question? I don't understand what's being asked

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Use the distributive property to distribute the outside minus sign to all terms inside parentheses.

1) 5.5x +1 -(1.5x +17) = 5.5x +1 -1.5x -17 = x(5.5 -1.5) +(1 -17)

  = 4x -16

__

2) x -3x -(-5x) = x -3x +5x = x(1 -3 +5)

  = 3x

Answer:

The inequality is given as:

5x + 4y ≤ 50

Step-by-step explanation:

Let the number of

Chocolate pies = x

Apple pies = y

He has $50 pocket money,and hes looking to buy chocolate pies for $5 each and apple pies for $4 each.

Hence:

$5 × x + $4 × y ≤ $50

The the inequality to describe the possible number of chocolate pies and apple pies that mark can buy is given as:

5x + 4y ≤ 50

Answer:

[tex]\mathrm{C)\:} \$8.20[/tex]

Step-by-step explanation:

Let [tex]s[/tex] represent the cost of each shirt in dollars. We can write the cost of the pants as [tex]s+7[/tex]. Using these terms, set up the following equation:

[tex]5s+(s+7)=56.23[/tex].

Solving, we get:

[tex]5s+s+7=56.23,\\6s=56.23,\\6s=49.23\\s\approx \fbox{$\$8.20$}[/tex]

Answer:

24.1m

Step-by-step explanation:

We have these informations to answer this question with.

Length of Rachel's ribbon = 16.2 m

Sheena's ribbon = 8.3m shorter than Rachael's

So,

Sheena's ribbon = length of Rachael's ribbon - 8.3m

= 16.2m - 8.3m

= 7.9m

The total length of the two ribbons

= length of Sheena's ribbon + length Rachael's ribbon

= 16.2 + 7.9

= 24.1 m