Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit

IT'S D

HOPE THIS HELP MARK ME BRAINLIST

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

   x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4  =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

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Answer:

y=rx 1/4/5/5/5

Step-by-step explanation:

Answer:

r = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The proportional equation is

y = rx ( divide both sides by x )

[tex]\frac{y}{x}[/tex] = r

Substitute any ordered pair from the table

Using (14, 7 ) , then

r = [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

$9.89

Step-by-step explanation:

1. Divide 15 from 100, which leaves you with 0.15%.

2. Multiply 8.60 and .15; that will get you 1.29.

3. Finally, add 1.29 to 8.60 to get your answer!  

Answer:

a = 18

Step-by-step explanation:

Slope = (7-6)/(4-8) = -1/4

y-intercept = 7 - (-1/4)(4) = 8

Equation of the line: y = - 1/4x + 8

(Substitute y for 3.5. When y is 3.5, what is x)

3.5 = - 1/4x + 8

3.5 - 8 = - 1/4x

(-4.5) / (- 1/4) = x

x = 18

Answer:

5000

ghsjdjdjdjdjdjdjdkdkdkdkdkdkdkdk

Answer:

14-inch

Step-by-step explanation:

let the length of shorter piece be x

x+3x=56

4x=56

x=56/4

x=14

Answer:

1/2

Step-by-step explanation:

8×+1=5

8×=5-1

8×=4

×=4/8=1/2

Answer:

82,000+7500+1,386=168,136

Step-by-step explanation:

You have to do Addition

Answer:

Have a splendiferous day!

Hope this helps!

Step-by-step explanation:

Shopping at the grocery store

Rough calculations of math

Figuring out time it would take to reach a location

Making nearly accurate measurements

Trying to stay within a budget

Solving extremely complicated numbers

Dealing with decimals

For quick calculations in a business

To prepare ahead, e.g an overestimate

and so on.

Answer:

If joint frequency isn't an option it is Marginal frequency

Answer:

Step-by-step explanation:

Plan A remains with $450 stable charge and Plan B is:

In order Plan B to be cheaper we set an inequality:

Answer:

f'(x)=6x+8

Step-by-step explanation:

The GCF of numbers is the greatest common factor of the numbers.

The numbers are given as: 4 and 9.

Factorize both:

[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]

[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]

The common factor between  both is 1.

So, we have:

[tex]\mathbf{GCF = 1 }[/tex]

Hence, the GCF of 4 and 9 is 1

Read more about GCFs at:

https://brainly.com/question/20061154

Answer:

81 is the answer

Step-by-step explanation:

:>>>>>>>>

Answer:

22.

Step-by-step explanation:

About 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

Let's represent the number of chicken wings as "x".

The total cost at Buffalo Bart’s Endless Wings would be the sum of the initial cost for sides and a drink ($5.60) and the cost per chicken wing ($0.40 per wing times x):

Total cost at Buffalo Bart’s Endless Wings = $5.60 + $0.40x

The total cost at The Spicy Chicken would be the sum of the initial cost for sides and a drink ($10) and the cost per chicken wing ($0.20 per wing times x):

Total cost at The Spicy Chicken = $10 + $0.20x

To find the number of chicken wings where the total costs are the same, we'll set up an equation:

$5.60 + $0.40x = $10 + $0.20x

Now, solve for "x":

$0.40x - $0.20x = $10 - $5.60

$0.20x = $4.40

Divide both sides by $0.20:

x = $4.40 / $0.20

x = 22

So, about 22 chicken wings must be purchased for the total cost at Buffalo Bart’s Endless Wings and The Spicy Chicken to be the same.

To learn more on Equation click here:

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#SPJ3

If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

A cross-sectional is a research that is carried out by collecting data from different group of population or by drawing a random sample from a group of population  in which the researcher will then study or observe the data collected  at a particular period of time.

Based on the given information the researcher is making use of Cross-sectional research method as the researcher what to know how people perceive smell based on their age or how age determine people sense of smell.

The outcome that could be found based on the research is that as people age or grow older their sense of smell decrease or begins to decrease, which simply means that younger people have strongest sense of smell than older people.

Inconclusion If the researcher set up two rooms—one with a faint rose smell, and one with a faint lemon smell. each participant was asked to enter each room and identify the smell in the room. The research method that the researcher use , and what outcome would be found is: Cross-sectional. The outcome is: As people grow older their sense of smell decrease.

Learn more about Cross-sectional here:

https://brainly.com/question/1900606

Answer:

Rahul by 1

Step-by-step explanation:

Johan - 3/7

Rahul - 4/9

1. Convert fractions

3/7 -> 27/63

4/9 -> 28/63

28/63 > 27/63

Rahul took more by 1/63

Answer:

1.y=1/2+2

2.y=-2+1

3.y=3/2+3

4.y=-2/3-2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

No slope is given so your slope is 0. Since both have no slope, they are both flat and therefore parallel

Answer:

Yes

Step-by-step explanation:

10>1

Answer:

m = - 1

Step-by-step explanation:

9m + 13 = 4

subtract 13 from both sides

9m = 4 - 13

9m = - 9

divide both sides by 9

m = - 1  (negative 1)

Answer:

Sorry if im late

Step-by-step explanation:

The correct statements are:

The value of f(-10) = 82

The graph of the function is a parabola

The graph contains the point (20,-8)

Answer:

x=18

Step-by-step explanation:

89=5x-1

89+1=5x

90=5x

18=x

Answer:

A) -0.0125

Step-by-step explanation:

-1/80 (fractional form)