Help! GHJ Café sells Medium and large coffees to locals in Downtown Dallas. If 7 medium cups and 10 large cups of coffee are sold, the café makes $68.75 in sales. If 10 medium and 15 large cups are sold, the total sales is $101.25. How much does a large cup of coffee sell for at GHJ Café?

Answer:

a) f(x) = x^2

b) f(x) = x

c) any pair of numbers

Step-by-step explanation:

The value of the exponential function f ( x ) = eˣ has the domain as the set of all real numbers

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential function be represented as A

Now , the value of A is

f ( x ) = eˣ   be equation (1)

And , exponential functions have a positive base, and a variable for an exponent.

The scope of an exponential function encompasses all real numbers since all powers of a positive base are defined. All the values of the function will be positive since we begin with a positive base and powers of a positive base are always positive.

The function never accepts the value 0 or any negative number, as indicated by that. An exponential function can only be applied to positive values. Other than that, their activities are varied.

And , the domain is all real numbers and the range is all positive real numbers

Hence , the value of the exponential function is a set of real numbers

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Answer:

n = 3p

hope this works

Answer:

x=5

y=-4

hope it helps

:)

Answer:

4.5 = 13.5

11/2 = 16 1/2

36 = 12

46.5 = 15.5

Step-by-step explanation:

hope this helped!

9514 1404 393

Answer:

  C.  segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime

Step-by-step explanation:

If the image is 1/2 the size of the original (scale factor = 1/2), the original is twice the size of the image. Each of the original coordinates is double the image coordinate value.

E(2, 0) = 2×E'(1, 0)

F(2, 6) = 2×F'(1, 3)

Answer:

segment EF is located at E (2, 0) and F (2, 6) and is twice the size of segment E prime F prime.

Step-by-step explanation:

just took test and got it correct

Answer:

7 cm

Step-by-step explanation:

Convert 448 miles to the equivalent in cm on the map:

  448 mi          5 cm          2240 cm

--------------- * --------------- = --------------- = 7 cm (which matches the 2nd ans.)

       1             320 mi           320

Answer:

see explanation

Step-by-step explanation:

-2 is your y-intercept so one point on your plot is (0,-2)

your slope is 1/4, rise/run

so from the y-int go up 1 and right 4, so another point is (-1,4)

and you can keep going up 1 and right 4 for as many points as you need.

Answer:

42/9=14/3

Step-by-step explanation:

Simplificación de Fracciones

Una fracción de la forma x/y puede ser representada de infinitas maneras, siempre y cuando produzcan el mismo resultado.

Por ejemplo, las fracciones 5/3 y 10/6 son equivalentes porque producen el mismo resultado. Obsérvese que tanto el numerador como el denominador en la segunda están multiplicados por 2.

Igualmente si tenemos 10/6, podemos obtener 5/3 dividiendo a ambos por 2.

La fracción 42/9 puede convertirse a una fracción equivalente dividiendo ambos términos por 3 para obtener 14/3

Answer:

Step-by-step explanation:

4

Answer:

[tex]\boxed{4}[/tex]

Step-by-step explanation:

→ Remember when dividing fractions, the second fraction 'flips'

[tex]6/\frac{3}{2} =6*\frac{2}{3}[/tex]

→ Simplify

[tex]6*\frac{2}{3} =\frac{12}{3} =4[/tex]

Answer:

to find the answer for 1 pencil you just need to divide

Step-by-step explanation:

3.20$ divide by 4=0.8 /each pencil cost 0.8

4.80$ divide by 12=0.4 /each pencil cost 0.4

Answer:

       First:  30°

 Second:   67°

      Third:  83°

Step-by-step explanation:

        First:   x

  Second:   y

      Third:   z = y + 16

Constraints:

   x + y + z  = 180

   y + z = 5x                  ===>    y = 5x - z

Substitution to find first angle x:

   x + y + z  = 180

   x + (5x - z) + z  = 180

   x + 5x - z + z = 180

   6x = 180

    x = 30

Substitution to find second angle y:

   y = 5x - z

   y = 5(30) - z

   y = 150 - z

   y = 150 - (y + 16)

   y = 150 - y - 16

   y = 134 - y

   2y = 134

     y = 67

Substitution to find third angle z:

  z = y + 16

  z = (67) + 16

  z = 83

Answer:

x=30 y=67 z=83

Step-by-step explanation:

The solution is therefore (30,67,83).

Answer:

the person who bought it saved 40 dollars and the percentage saved was 12.50 i just used a discount calculator on google

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

Answer:

1863/275=6.7745recurring

Step-by-step explanation:

Dont u have a calculator

Answer:

A and C

I think this is correct

: )

Answer:

x = 67°

Step-by-step explanation:

there are 180 degrees in a triangle and we know that the two corners equal the same amount. so we can set up an equation like this:

180 = 46 + 2x

so now lets subtract 46 from both sides to simplify the equation.

134 = 2x

now we can divide both sides by 2 to get our final answer.

67 = x

we can check our answer by solving this expression:

67 + 67 + 46 = ?

after adding these together, we get 180 so we know our answer is correct.

hope this helped!

Answer:

The answer is 12

Step-by-step explanation:

i got it right

Answer:

the answer is 12

Step-by-step explanation:

The two numbers from the equations are 16 and -52

The first number is 16

The second number is -52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = x

Let the second number be = y

So , the equation will be

Let the sum of two numbers be = -36

And the equation will be

x + y = -36   be equation (1)

Let the difference of two numbers be = 68

And the equation will be

x - y = 68   be equation (2)

Subtracting equation (1) from equation (2) , we get

On simplifying the equation

2x = 32

Divide by 2 on both sides of the equation , we get

x = 16

The equation will be

Substituting the value of x in the equation , we get

x + y = -36

16 + y = -36

Subtracting 16 on both sides , we get

y = -52

Hence , the two numbers are 16 and -52

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Answer:

2 or 2/1 either one works

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

35/5 =

6

6-10 =

-4

Answer: 16.8

Step-by-step explanation: 12% of 140 = 16.8. (I’m not sure what I say for the explanation! Really sorry! But I hope I helped!)

Answer:

16.8

Step-by-step explanation:

12 % of 140

12/100×140

12×140/100

1680/100

16.8

So 16.8 is the answer

The answer is 0.94 !!!

The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that the statistics class has 50 students and among those students, 42 are business majors, and 8 like grilled cheese. Of the business majors, 3 like grilled cheese.

The probability will be calculated as:-

P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)

[tex]P(AUB)=\dfrac{42}{50}+\dfrac{8}{50}-\dfrac{3}{50}[/tex]

[tex]P(AUB) = \dfrac{50-3}{50}[/tex]

[tex]P(AUB)=\dfrac{47}{50}[/tex]

P(AUB) = 0.94

Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.94.

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Answer:

1.19$ each

Step-by-step explanation:

10.71/9= 1.19

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y ∝ x

y = kx

k = 0.6

The value of x when y = 18 is 30.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 5y is an equation.

2x + 4 + 9 is an equation.

We have

if y varies directly as x.

This can be written as,

y ∝ x

y = kx _____(1)

From (1),

y = 6 when x= 10

6 = 10k

k = 6/10

k = 0.6

Now,

y = 0.6x

when y = 18,

18 = 0.6x

Divide both sides by 0.6.

x = 18/0.6

x = 180/6

x = 30

Thus,

y ∝ x

y = kx

k = 0.6

The value of x when y = 18 is 30.

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Answer:

A relation has an input value which corresponds to an output value. When each input value has one and only one output value, that relation is a function. Functions can be written as ordered pairs, tables, or graphs. The set of input values is called the domain, and the set of output values is called the range.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

From the question given above,

y varies directly as the cube of x. This can be written as

y ∝ x³

y = Kx³

Next, we shall determine the value of the constant (K) as follow:

y = 54

x = 3

K =?

y = Kx³

54 = K × 3³

54 = K × 27

Divide both side by 27

K = 54/72

K = 2

Finally, we shall determine the value of y when x is 5.​ This can be obtained as follow:

x = 5

K = 2

y =?

y = Kx³

y = 2 × 5³

y = 2 × 125

y = 250

Therefore, the value of y is 250

Answer:

364

Step-by-step explanation:

0.065 x 5,600

Answer:

$364

Step-by-step explanation:

multiply 0.065 by 5,600

Answer:

its 6.6 (I think???)

Step-by-step explanation:

the volume of that box is 105 and 105 x 6.6 is 693. please forgive me if I'm wrong i havent learned this yet.

The dimensions of the new box are 7 cm, 9 cm, and 11 cm.

The original volume of the box is 357 = 105 cm3. After the dimensions are increased by x, the new volume is (3+x)(5+x)(7+x) = 693 cm3.

Expanding the product gives [tex]x^3+15x^2+71x-588 = 0.[/tex]

This cubic equation can be solved for x, and the only real solution is x = 4.

Therefore, the value of x that will produce a box with a volume of 693 cm3 is 4. This means that the dimensions of the new box are 7 cm, 9 cm, and 11 cm.

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Answer:

Vertical change = 4

Horizontal change = 1

Slope = 4

b  (y-intercept) = 2

Step-by-step explanation:

From the graph (notice it as also marked with an arrow) you can get the value of "b" (also called the -intercept) is "2"

Please notice that you have entered wrong values for the slope.

By using the points (0, 2), and (1, 6) which are marked on the graph, you estimate the slope doing:

slope = vertical_change / horizontal_change = (y2 - y1) / (x2 - x1)  

in our case, the vertical change (y2 - y1) is : 6 - 2 = 4

The horizontal change is (x2 - x1) = (1 - 0) = 1

Then the slope is: 4 / 1 = 4

slope = 4

and "b" (or y-intercept) is 2

Answer:

TRUE

FALSE

TRUE

FALSE