There are only two orthodontists in a village and both wore braces until last month. Dr. Carter now has straight teeth and a clean office. Dr. Shuman now has crooked teeth and a messy office. Based only on this given information, which orthodontist should you go to if you want your teeth straightened? Explain your reasoning.

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Answer:

$-48

Step-by-step explanation:

(-125 + -86 +54 +-35)/4 = -48

Add all the Profits/losses and divide by the number of weeks.

Answer:

[tex]y=\frac{5}{3}x-5[/tex]

Step-by-step explanation:

Slope-intercept:

[tex]y=mx+b[/tex]

m is the slope and b is the y-intercept. We know that the line passes through the y-axis at -5, so this is the y-intercept (where x is equal to 0). Insert this into the equation:

[tex]y=mx-5[/tex]

With the given information, we can form two points:

[tex](3,0)(0,-5)[/tex]

The first one is the x-intercept and the second the y-intercept. Use these to find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis, otherwise known as the slope. Insert the appropriate values:

[tex](3_{x1},0_{y1})\\(0_{x2},-5_{y2})\\\\\frac{-5-0}{0-3}[/tex]

Solve:

[tex]\frac{-5-0}{0-3}=\frac{-5}{-3}[/tex]

Note that both the numerator and denominator are negatives. Two negatives make a positive, so:

[tex]\frac{5}{3}[/tex]

The slope is [tex]\frac{5}{3}[/tex]

Insert into the equation:

[tex]y=\frac{5}{3}x-5[/tex]

:Done

Answer:

A had 22 mangoes, B had 26 mangoes

Step-by-step explanation:

We can write the following system:

A + 10 = 2(B - 10) -- Equation 1

3(A - 10) = B + 10 -- Equation 2

A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)

3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)

3(2B - 40) = B + 10

6B - 120 = B + 10

5B = 130

B = 26 -- (Solve for B in Equation 4)

A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)

Answer:

Should be 10- (-2) lemme know if im wrong

Step-by-step explanation:

The answer is 10-(-2)

Answer:

C) Both

Step-by-step explanation:

The given equation is:

[tex]0=(3x+2)(x-4)[/tex]

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

[tex](3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}[/tex]

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply [tex](3x+2)(x-4)[/tex] i.e. [tex]3x^2-12x+2x-8[/tex] = [tex]3x^2-10x-8[/tex]

So, the equation becomes:

[tex]0=3x^2-10x-8[/tex]

Comparing this equation to standard quadratic equation:

[tex]ax^2+bx+c=0[/tex]

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}[/tex]

The answer is same from both the approaches.

So, the correct answer is:

C) Both

Answer:

Both

Step-by-step explanation:

Answer:

y = 2( x-3)^2 +5

Step-by-step explanation:

The vertex form of a parabolic functions is

y = a( x-h)^2 +k

where (h,k) is the vertex

y = a( x-3)^2 +5

Substituting the point into the equation

13 = a( 1-3)^2 +5

13 = a*( -2)^2 +5

13 = 4a +5

Subtract 5

8 = 4a

Divide by 4

8/4 =a

2=a

y = 2( x-3)^2 +5

Answer:

See below

Step-by-step explanation:

a) line marked a is tangent

b) line marked b is radius

c) line marked c is diameter

d) line marked d is chord

Answer:2y

Step-by-step explanation:

!!!

Answer:

Answer: h(x) = 1/5x

Step-by-step explanation:

6x + y = 4x + 11y

    -y            -y  

6x       = 4x + 10y

-4x        -4x        

2x       =         10y

÷10               ÷10  

1/5x =     y

Since "y" represents h(x), then h(x) =

Answer

the second value is ten times higher then the refference one

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

2 in 32000 is in the thousands place

2 in 26000 is in the ten thousands place

Step-by-step explanation:

Answer:

The quantity of the first model is 150 and the second model is 100 that maximize the profit.

Step-by-step explanation:

Let the quantity of first model = x

Let the quantity of second model = y

The cost of the first model = $100

The cost of the second model = $150

Total number of models = 250 units

Total amount to spend on units = $30000

Now form the equations.

x  +  y  = 250

100x + 150y = 30000

Now solve for the x and y.

x = 250 – y

Now insert this value in the 100x + 150y = 30000.

100(250 –y) + 150y = 30000

25000 – 100y + 150y = 30000

50y = 30000 – 25000

50y = 5000

Y = 100

Now insert the Y in x + y = 250

x = 250 – y

x = 250 – 100

x = 150

Therefore, the first model is 150 units and the second model is 100 units that maximize the profit.

Answer:

1

Step-by-step explanation:

i²⁵⁶ is the equivalent of (i²)¹²⁸.

(i²)¹²⁸ = (-1)¹²⁸ = 1.

Answer:

[tex]\Huge \boxed{1}[/tex]

Step-by-step explanation:

[tex]i^{256}[/tex]

[tex](i^4)^{64}[/tex]

Apply identity : [tex]i^4 =1[/tex]

[tex]1^{64}=1[/tex]

Answer:

His total pay= $4,630

Step-by-step explanation:

Larry pickett earns:

commission=6% on all sales

He also received a $700 bonuses if his commission exceeds $3000

His total sales were 65500 what was Total pay

Commission= 6% of all sales $65,500

=6/100 × 65,500

=0.06 × 65,500

=3,930

His commission =$3,930

His commission exceeds $3000

Therefore,

His Total pay= Commission + bonus of $700 if his commission exceeds $3,000

=3,930 + 700

=4,630

His total pay= $4,630

Answer:

The answer is A

Step-by-step explanation:

Step 1: Use Cosine to find ∅

Cos∅=[tex]\frac{4}{5}[/tex]

∅=Cos[tex]^{-1}[/tex]([tex]\frac{4}{5}[/tex])

Therefore the answer is A

Answer:

[tex]\huge \boxed{8\sqrt{3}}[/tex]

Step-by-step explanation:

[tex]2\sqrt{48}[/tex]

Simplify [tex]\sqrt{48}[/tex].

[tex]2\sqrt{16} \sqrt{3}[/tex]

[tex]\sqrt{16}=4[/tex]

[tex]2 \times 4\sqrt{3}[/tex]

Apply rule : [tex]a \times b\sqrt{c} =ab\sqrt{c}[/tex]

[tex]8\sqrt{3}[/tex]

Answer: a constant

Step-by-step explanation:

A constant is a numerical expression like 2, 0,78 etc .

A variable is a alphabetical expression that vary like a,b,c,d,x,y,z.

An expression can consists of both numerical and alphabets and also any arithmetic expression like x, 2abc, 6a+2c etc

A term consist of either numbers and variables multiplied together or only numbers or variable like 2xy, x, 2ab etc.

X is all (a term, a variable , an expression) except a constant because a constant is a numerical expression.

Answer: D, a constant

Step-by-step explanation: A constant is an expression without variables.

Your question has been heard loud and clear.

2x^2+5x-3=0

Splitting the middle term (5x) we get , -1x+6x

So , 2x^2-1x+6x-3=0

2x^2-1x+6x-3=0

(2x^2-1x)+(6x-3)=0

taking common factor from(2x^2-1x) which is x and taking common factor from (6x-3) which is 3 , we get

x(2x-1)+3(2x-1)=0

So , solution that we get is

(x+3)   and  (2x-1)  

Thank you.

Step-by-step explanation:

2x^2+5x-3=0.

which will be 2x^2+2x+3x-3=0.

2x(x+1)+3(x+1)=0.

2x+3=0,x+1=0.

x=-3/2,x=-1..

I hope this helps but please recheck the question especially 5x is it +5x or -5x.....Thank you for the question

Answer:

y = -x + 10

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (11 - 9)/(-1 - 1)

m = 2/-2

m = -1

y = -x + b

Step 2: Find y-intercept b

9 = -(1) + b

9 = -1 + b

b = 10

Step 3: Rewrite linear equation

y = -x + 10

Answer: Hi!

The equation given is 5.29 * 10^4.

First, we need to solve the exponent.

10^4 = 10,000

Next, we multiply 10,000 by 5.29.

10,000 * 5.29 = 52,900

Therefore, your answer is a), 52,900.

Hope this helps!

Answer:

A.

Step-by-step explanation:

It is 5.29 x 10,000

= 52,900.

Answer:

B

Step-by-step explanation:

seeing input/ output boxes= function

y is proportional to some constant (k)(constant of proportionality) times x

y=kx

y=0.9(x)

plug and chug...

4(.9)=3.6

6(.9)= 5.4

12(.9)= 10.8

Answer:

The correct option is;

69 cm

Step-by-step explanation:

The z-score, or standard score is a measure of how far a data is from the mean

The z-score, is given by the relation;

[tex]z = \dfrac{x- \mu}{\sigma}[/tex]

Z = Standard score

x = Value observed

μ = The mean height of the plants = 52.5 cm

σ = Standard deviation = 7.2 cm

Given that the z-score = 2.25, we have;

[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]

Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm

Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 90 inches

The statement

The length of a rectangle is five inches more than four times it’s width is written as

l = 5 + 4w

Substitute this expression into the above formula and solve for the width

That's

90 = 2(5 + 4w) + 2w

90 = 10 + 8w + 2w

10w = 90 - 10

10w = 80

Divide both sides by 10

w = 8

Substitute this value into l = 5 + 4w

That's

l = 5 + 4(8)

l = 5 + 32

l = 37

Therefore we have

Hope this helps you

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = (5-8)/(-8 - -5)

    = -3/(-8+5)

    = -3/-3

   = 1

Answer:

The government paid an interest of $41.9, which is 4.19%

Step-by-step explanation:

Given the 189-day, $1,000 U.S Treasury bill is purchased at a discount of 4.19%, this means that:

It was purchased at a discount of:

4.19% of $1000

= (4.19/100) × 1000

= $41.9

Purchase price = $1000 - $41.9 = $958.1

Because the treasure is sold for $1000 on maturity day, that means the government paid an interest of $41.9, which is 4.19%

Step-by-step explanation:

la 6 es la mejor rspuesta

Answer:

[tex]3 \sqrt 5}[/tex]  and [tex]-3 \sqrt 5}[/tex]

Step-by-step explanation:

Given

[tex]x^2 = 45[/tex]

Required

Determine the values of x

[tex]x^2 = 45[/tex]

Take square root of both sides

[tex]\sqrt{x^2} = \±\sqrt{45}[/tex]

[tex]x = \±\sqrt{45}[/tex]

Expand 45 as 9 * 5

[tex]x = \±\sqrt{9 * 5}[/tex]

Split the square root

[tex]x = \±(\sqrt{9} *\sqrt 5}[/tex]

[tex]x = \±3 *\sqrt 5}[/tex]

[tex]x = \±3 \sqrt 5}[/tex]

This can be further split to:

[tex]x = 3 \sqrt 5}[/tex] or [tex]x = -3 \sqrt 5}[/tex]

Hence, the possible values of x are

[tex]3 \sqrt 5}[/tex]  and [tex]-3 \sqrt 5}[/tex]

Answer:

Cups of water she needs to make the punch is 12.

Step-by-step explanation:

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups which equals 12 cups.

So it is 12 cups.

Cups of water she needs to make the punch is 12.

A unit conversion expresses the same property as a different unit of measurement.

Given that, Carson needs 3 quarts of water to make fruit punch, but has only an l-cup measuring cup.

She knows there are 2 cups in 1 pint, and 2 pints in 1 quart.

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups, which equals 12 cups.

Hence, she need 12 cups.

For more references on unit conversion, click;

https://brainly.com/question/19420601

#SPJ2

Answer:

-2

Step-by-step explanation:

3( x+ 2)=2(x+2)​

=>3x+6=2x+4

=>3x-2x=4-6

=>x=-2

-2  is the value of x

Answer:

The answer is

Step-by-step explanation:

3( x+ 2)=2(x+2)

First expand the terms in the bracket

That's

3x + 6 = 2x + 4

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

3x - 2x = 4 - 6

Simplify

We have the final answer as

Hope this helps you

Answer:

the answer should be c

you move the 5 to the radical then put the 2 i under it then get rid of the i

Step-by-step explanation: