A method to prove statements using properties that justify each step.​

Answer:

The maximum profit will be: $605.125

Step-by-step explanation:

Given the function

[tex]y\:=\:-2x^2\:+\:105x\:-\:773[/tex]

The given equation is a quadratic function. It represents Parabola. The parabola opens down because of the negative leading coefficient (-2).

Thus, the maximum profit would be computed at the vertex of the graph.

Thus, we have to determine the value of y when x is the line of symmetry.

We can find this by the equation

x = -b/2a

where a = -2, b = 105

x = -105 / 2(-2)

x = -105 / -4

x = 105/4

x = 26.25

Now, putting x = 26.25 in the original function to find the value of 'y'.

[tex]y\:=\:-2x^2\:+\:105x\:-\:773[/tex]

[tex]y=-2\left(26.25\right)^2+105\left(26.25\right)-773[/tex]

[tex]y=-2\cdot \:26.25^2+105\cdot \:26.25-773[/tex]

[tex]y=1983.25-1378.125[/tex]

[tex]y=605.125[/tex]

Therefore, the maximum profit will be: $605.125

Answer: 605

y=$605→Max profit

Answer:

x = 32 ......

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Answer:

Y = 14x + 13

Step-by-step explanation:

13 is the y intercept and you can find the slope given by the coordinates

Answer:

One unique triangle

Step-by-step explanation:

Answer:

10 cm³

Step-by-step explanation:

The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.

Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:

d = m/v

2.5 = 25/v

Multiply both sides by v:

2.5v = 25

Divide by 2.5:

v = 25/2.5 = 10

Thus, the volume is 10 cm³.

Answer:

Step-by-step explanation:

yes its correctt

Answer:

its right

Step-by-step explanation:

9514 1404 393

Answer:

  21

Step-by-step explanation:

When secants meet, the product of the length of the pieces from the meeting point to the two circle intersection points is the same for all.

  KL·KM = KJ·KC

Assuming the marks inside the circle apply only to the lengths inside the circle:

  8(8+x+5) = 7(7+2x+1)

  104 +8x = 56 +14x

  48 = 6x

  8 = x

Then the measure of MK is ...

  MK = x+13 = 8+13

  MK = 21

Answer:

[tex]Total = \$5d - 2[/tex]

Step-by-step explanation:

Represent Alice with A, her friend with F and you with Y.

From the question, we have:

[tex]A = \$d[/tex]

[tex]F = 2 * A[/tex] --- Twice as much Alice means 2 times Alice's earnings

[tex]Y = F - 2[/tex] --- 2 less than her friend

Required

Determine the total amount

[tex]A = \$d[/tex]

Substitute [tex]\$d[/tex] for A in [tex]F = 2 * A[/tex]

[tex]F = 2 * \$d[/tex]

[tex]F = \$2d[/tex]

Substitute [tex]\$2d[/tex] for F in [tex]Y = F - 2[/tex]

[tex]Y = \$2d - 2[/tex]

The total amount is calculated by adding the earnings of Alice, her friend and you

[tex]Total = A + F + Y[/tex]

[tex]Total = \$d + \$2d + \$2d - 2[/tex]

[tex]Total = \$5d - 2[/tex]

Hence, the total earnings is 5d - 2

The greatest common factor of 4xy² and 20x2y^4 is: 4xy².

Greatest common factor of a set of terms is the factor that all terms in the set share together.

Given:

4xy² and 20x2y^4

4xy² can divide both terms, meaning both terms share a factor.

Therefore, the greatest common factor of 4xy² and 20x2y^4 is: 4xy².

Learn more about greatest common factor on:

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Answer:

B

Step-by-step explanation:

edge

hope this helps :)

Answer:

Length: 116

Width: 21

Step-by-step explanation:

Let's say that the width of carpet is x. If the length of the carpet is 95 inches more than the width, then let's say that the width is x + 95.

Since we are solving for the perimeter, you have to multiply the width and the length(x and x + 95) by two.

So,

2x + 2x + 190 = 274.

Simplify this and you get:

4x= 274 - 190

4x = 84

x= 21

So, the width is 21. This means that the length is 21 + 95.

21 + 95 = 116

Answer:

-21

Step-by-step explanation:

18-3z = 2z - 6z -3

18-3z = -4z -3

-3z+4z= -3-18

z=-21

Answer:

If you mean "z" instead of "x", the answer should be -21.

Step-by-step explanation:

18 - 3z = 2z - 6z - 3

-3z - 2z + 6z = -18 - 3

z = -21

Answer: False

Step-by-step explanation:

There is a very easy way to tell whether an ordered pair is a function or not. If many x's have one y, then it is not a function. Since (-1,7) and (-7, 7) both have the same y, it is not a function. Hope this helps!

Answer:

5 / -21 = -0.2381

Step-by-step explanation:

Answer:

8 1/8 or 8.125

Step-by-step explanation:

8 goes into 64 8 times. There is a remainder of 1 left over. When you divide 1 by 8, you get .125. That is added to 8.

The solution of expression after divide is,

⇒ 8.125

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that'

The expression is,

⇒ 65 divided by 8

Now, We can divide as;

⇒ 65 divided by 8

⇒ 65 ÷ 8

⇒ 8.125

Thus, The solution of expression after divide is,

⇒ 8.125

Learn more about the divide visit:

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Answer:

467.6 miles

Step-by-step explanation:

Unit rate x 280 = 467.6

HOPE THIS HELPS

Answer:

A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine the number of rides tokens that can be sold for the fair to make a profit of at least $750.

Step-by-step explanation:

A fair rents a thrill ride for $3000. It cost $4 to purchase a token for the ride. Write and solve an inequality to determine the number of rides tokens that can be sold for the fair to make a profit of at least $750.

9514 1404 393

Answer:

  41.1

Step-by-step explanation:

A triangle solver can do this nicely. b ≈ 41.1

__

You can use the law of cosines for the purpose.

  b² = a² +c² -2ac·cos(B)

  b² = 120² +110² -2(120)(110)·cos(20°) ≈ 1692.1148

  b ≈ √1692.1148 ≈ 41.13532

The missing side is b ≈ 41.1 units.

Answer:

The answer for Acellus people is b=41.1

Step-by-step explanation:

Answer:

[tex]1.\ y = 2x - 1[/tex]

[tex]2.\ y = -4x + 5[/tex]

Step-by-step explanation:

Solving (1): The line equation in y intercept form;

Given

[tex]m = 2[/tex]

[tex](x_1,y_1) = (4,7)[/tex]

This is calculated using the following formula

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for m, x1 and y1

[tex]y - 7 = 2(x - 4)[/tex]

Open Bracket

[tex]y - 7 = 2x - 8[/tex]

Make y the subject

[tex]y = 2x - 8 + 7[/tex]

[tex]y = 2x - 1[/tex]

Solving (2): The line equation in y intercept form;

Given

[tex]m = -4[/tex]

[tex](x_1,y_1) = (-1,9)[/tex]

This is calculated using the following formula

[tex]y - y_1 = m(x - x_1)[/tex]

Substitute values for m, x1 and y1

[tex]y - 9 = -4(x - (-1))[/tex]

[tex]y - 9 = -4(x + 1)[/tex]

Open Bracket

[tex]y - 9 = -4x - 4[/tex]

Make y the subject

[tex]y = -4x - 4 + 9[/tex]

[tex]y = -4x + 5[/tex]

Answer:

[tex]-\frac{75}{4}[/tex]

Step-by-step explanation:

Determine the determinant

[tex]\frac{9}{2}*(-\frac{9}{2})-(-1)*\frac{3}{2}[/tex]

Multiply / Remove parentheses

[tex]-\frac{81}{4} +\frac{3}{2}[/tex]

Calculate

[tex]-\frac{75}{4}[/tex]

Answer:

9

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

x² + 9= 0

(move internode)

x²= -9 (heve no solution and parentheses )

if the number is negative and we are asked to find the root of n (if n is an even number). then it has no solution. example that have solution:

x²= 9

x = √9

x= 3

because, (3)²= (3) × (3)

= 9

or it could be: (-3)²

= 9

You must use parentheses if you want to convert it to the square root

2. x² - 4= -11

(move internode)

x²= -11 + 4

x²= -7 (haven't no solution because 7 is not the number of the square root and there are no brackets)

Answer:

The annual income is 140,000 dollars

Step-by-step explanation:

If you add the percentage of Entertainment and Savings, you will get a total of 21%. 21% is equal to 0.21. If you divide 29,400 (the Corresponding value to the fraction) by 0.21 (the Corresponding fraction to its value). You will get 140,000 dollars. By dividing 29,400 by 0.21, it means that you will get the value of 1 whole of the amount of annual income.

Answer:

450

Step-by-step explanation:

Answer:

202.3 ounces of real silver

Step-by-step explanation:

Another example would be like pizza. If there are 6 slices of pizza in each box, then 2 boxes of pizza would have 6 + 6 slices = 12 slices. It is 6 slices each * 2 boxes = 12 slices total. The same applies to the coin situation, for every additional coin, multiply 0.85 by the number of coins to get the total weight of real silver.

If there are 238 silver coins, then you have 238 0.85 ounces of real silver. Multiplying 238 by 0.85 to simplify gives you 202.3 ounces of real silver.

Answer:

208?

Step-by-step explanation:

im not sure if this is 100% correct but, all I did was:

238/0.85

=208

Answer:

Angle in radian = 0.75

Step-by-step explanation:

Given:

Height  = 11 ft

Hypotenuse = 15 ft

Find:

Angle in radian

Computation:

Cosθ = Height / Hypotenuse

Cosθ =  11/ 15

Angle in radian = 0.75

Answer:

first option

Step-by-step explanation:

The perimeter is the distance around the composite shape, which is composed of a rectangle and a semi- circle.

P = 12 + 16 + 12 + πr ← ( rectangle and semi- circle )

   = 40 + (3.14 × 8)

    = 40 + 25.12

    = 65.12 in

----------------------------------

A = (16 × 12) + (0.5πr² ) ← rectangle and semi- circle

   = 192 + 0.5 × 3.14 × 64)

    = 192 + 100.48

    = 292.48 in²