You are going to a private apple orchard to pick apples. There is a one-time entry fee
that everyone pays, and you also pay a certain amount per pound of apples you pick. It
costs $42 to buy 5 pounds of apples, and it costs $54 to buy 7 pounds of apples.
Based on this information, what is the one-time entry fee?

Answer:

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Step-by-step explanation:

[tex]2x^2+4x-5=0[/tex]

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

[tex]x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}[/tex]

[tex]x=\frac{-4\pm\sqrt{16+40}}{4}[/tex]

[tex]x=\frac{-4\pm\sqrt{56}}{4}[/tex]

[tex]x=\frac{-4\pm2\sqrt{14}}{4}[/tex]

[tex]x=\frac{-2\pm\sqrt{14}}{2}[/tex]

[tex]x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871[/tex]

Answer:

13, 8, 3

Step-by-step explanation:

Subtract 5 from the following terms.

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Proof:-

In ∆XYZ and ∆VWZ

[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]

Hence

∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)

Step-by-step explanation:

3/12 7/10

Make the Denominators same

3*5/12*5 = 15/60

7*6/10*6 = 42/60

Common Denominator is 60

Answer:

1

Step-by-step explanation:

f(x) = y

that expression asks what y is when x = -2.

you can solve this by plugging in -2 for x in the function.

f(-2) = 3(-2) + 7

f(-2) = -6 + 7

f(-2) = 1

Answer:

1

Step-by-step explanation:

Plug in -2.f(x) = -6+7f(x) = 1. Hope it helps

Step-by-step explanation:

The one point where the lines intersect is one solution. If both points are on the same line it is one solution. If the lines do not intersect it is no solution.

Answer:

First what does x represent. For example x could equal 5 so (5)2 +2 simplified is 10 +2 which is 12 :)

Step-by-step explanation:

Hi,

The greatest common multiple of 9 and 27 is 9

explanations:

9 x 1 = 9

9 x 3 = 27

✅;-)

Answer:

there is no slope

Step-by-step explanation:

you cannot divide by zero

Answer:

slope is undefined

Step-by-step explanation:

The slope is the difference in y divided by the difference in x.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

That is the 2nd point's value minus the first, where the points are (x1, y1) and (x2, y2)

Given these 2 points, calculate the slope:

[tex]m=\frac{-1--5}{4-4}\\\\m=\frac{4}{0}[/tex]

In this case, the slope is undefined. A function cannot have multiple outputs for the same input, and an undefined slope has infinite outputs for 1 input. You can see that in the attached image, it's a vertical line.

The rate of change of a linear function is the slope of the function.

The rate of change is -7 and the initial value of the function is 27

The points are given as:

[tex]E = (0,27)[/tex]

[tex]F = (5,-8)[/tex]

The slope (m) is calculated as:

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

So, we have:

[tex]m = \frac{-8 - 27}{5-0}[/tex]

Rewrite the fraction as:

[tex]m = \frac{- 35}{5}[/tex]

Divide -35 by 5

[tex]m = -7[/tex]

So, the rate of change is -7

The initial value of the function is the value of the function when the input value (i.e. x) is 0.

At point E, we have: [tex]E = (0,27)[/tex]

So, the initial value of the function is 27

Read more about linear functions at:

https://brainly.com/question/15602982

The rate of change for the linear function is -7 and the initial value is 27.

Answer:

The answer is 77

Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)

Step-by-step explanation: This is how i figured it out.... I STUDIED

Answer:

It is a nonlinear function. The points do not form a straight line.

Step-by-step explanation:

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508

Answer:

1) 8/10 or 4/5

2) 1/4

3) 7/8

4) 13/10 or 1  3/10

5) 1/6

Step-by-step explanation:

1) If the denominators are different numbers, you need to find the common denominator. 3/5 + 2/10: Since /5 is a factor of /10, then you can multiply /5 by 2. But if you change the denominator, the numerator needs to change too. 3/5 * 2 = 6/10. Now simply add both fractions. 6/10 + 2/10 = 8/10 or if you reduce; 4/5!

2) Now that you know that method, do the same with the next problem. 3/4 - 1/2: /2 *2=/4. 1/2*2=2/4. 3/4-2/4 = 1/4!

3) 3/4 + 1/8 = (3/4*2) + 1/8. 3/4*2= 6/8. 6/8+1/8=7/8

4) Now, you cannot multiply 2 by any number to get 5. So you need to find the lowest common denominator. You find this by adding each number that is the denominator by itself until you get the same sum. Example: /5+/5=/10.  /2+/2+/2+/2+/2=/10. Remember, whatever is done to the denominator is done to the numerator. /5*2 = /10, 4/*2=8/. And /2*5=/10, 1/*5=5. So now it would be 5/10+8/10= 13/10 which could be changed to 1  3/10

5) Use the same technique you used last time on this problem. 2/3-1/2= (2/3*2) - (1/2*3) =4/6 - 3/6= 1/6!

Answer:

A biconditional statement is a combination of a conditional statement Its converse written in the if and only form

Answer:

x=4

Step-by-step explanation:

5(2x - 1) = 35

Should expand so....

10x - 5 = 35

10x = 40

x = 4

Answer:

x=4

Step-by-step explanation:

distribute the 5: 10x-5=35

add 5 to both sides: 10x=40

divide both sides by 10: x=4

Answer:

I believe it would be B.

Step-by-step explanation:

Half a circle is 180 degrees, which is the location of option B. In other words you just rotate it halfway around and you'll find it at 180°.

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

Answer:

I couldn't understand what you actually mean. But, I -think you are trying to ask what is the meaning of Knowledge.

HERE - (definition of knowledge)

facts, information, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject.

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

Answer:

n = 225

Step-by-step explanation:

Multiply 15 by 15

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Answer:

a

Step-by-step explanation:

Answer:

side MJ was 4 then it became 2 at side SP

side ML was 3 then it became 1.5 at side SR

side LK was 3 then it became 1.5 at side RQ

so we will divide 5 by 2 / 5÷2 = 2.5

Answer:

4,6,14,18, and 20

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

[tex]13x^{10}[/tex]

Step-by-step explanation:

[tex]4x^{10}+9x^{10}[/tex]

[tex](4+9)x^{10}[/tex]

[tex]13x^{10}[/tex]

Because [tex]x^{10}[/tex] can be factored out from both terms, you just add 9 and 4 and keep the [tex]x^{10}[/tex].

Answer:

looks like 3/4

Step-by-step explanation: