. Evaluate: y − (z + z^2); use y = 10, and z = 2

Answer:

96 = x

Step-by-step explanation:

I'm going to use cents instead of dollars because I find decimals and fractions to be cumbersome. I assume you meant $.005 instead of 4.005.

Let x denote the price (in cents) of the 12-ounce can. Then the price of the 16-ounce can is (x + 16) cents, and the price of the 24-ounce can is ((x + 16) + 68), or (x + 84) cents.

The unit price (cents per ounce) of the 12-oz can is x/12

The unit price of the 16-oz can is (x + 16)/16

The unit price of the 24-oz can is (x + 84)/24

You are told that, in terms of x,

(x + 84)/24 = x/12 - 0.5

Multiply both sides by 24:

x + 84 = 2x - 12

Solve for x:

96 = x

So the unit prices (in cents per ounce) are:

12 oz: 96/12 = 8 cents/oz

16 oz: 112/16 = 7 cents/oz

24 oz: 180/24 = 7.5 cents/oz

So the 16 ounce can is the best buy based on lowest unit price.

In this exercise we have to use the knowledge of finance to calculate the best price to be offered, in this way:

[tex]12 oz: 96/12 = 8 cents/oz\\16 oz: 112/16 = 7 cents/oz\\24 oz: 180/24 = 7.5 cents/oz[/tex]

Some values ​​should be simplified as they were informed in the statement:

So putting together an equation with these values ​​and terms informed we find that:

[tex](X + 84)/24 = X/12 - 0.5\\X + 84 = 2X - 12\\X=96[/tex]

So with the value of X found it is only necessary to use the previous equations and replace this value.

See more about finances at brainly.com/question/10024737

Answer:

(4,10)

Step-by-step explanation:

Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate

Answer:

Step-by-step explanation:

[tex]6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)[/tex]

Answer:

I am sure it is 25%

Step-by-step explanation:

1750:7000*100 =

(1750*100):7000 =

175000:7000 = 25

Now we have: 1750 is what percent of 7000 = 25

tell me if i am correct or wrong!

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

Answer:

x=-2

Step-by-step explanation:

distribute 3

solve

Answer:

4.105000

Step-by-step explanation:

because you have to add up

Step-by-step explanation:

a pentagon is 5 equilaterial triangles meaning you would use the formula of area of a triangle and multiply that by 5.

422.5m^2 is the answer

Answer:

25

Step-by-step explanation:

9514 1404 393

Answer:

  x° = 42°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the useful relation ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 4.0/5.4

  x° = arccos(4.0/5.4) ≈ 42.21°

The value of x is about 42.

Answer:

B. 160 inches

Step-by-step explanation:

The wrapping paper would be the surface area of the box.

The surface area of a box is 2(h * W) + 2(h * L) + 2(W * L)

h = height

W = width

L = length

length x width x height

length = 5 in

width = 2 in

height = 10 in

2(10 * 2) + 2(10 * 5) + 2(2 * 5)

2(20) + 2(50) + 2(10)

40 + 100 + 20

160 inches

Given:

The function is

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

To find:

The graph of the function by using the end behaviors.

Solution:

We have,

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

The degree of the polynomial is 4 which is even and the leading coefficient is -2, which is negative. So,

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

[tex]f(x)\to -\infty\text{ as }x\to \infty[/tex]

It means, the graph of the function approaches to negative infinity on the both ends.

Therefore, the correct option is C.

Answer:3

Step-by-step explanation:

7x3=21 4x3=12 21÷12=9 3x3=9

Answer:

Step-by-step explanation:

7 × 3 = (3 × 3) + (4 × 3)

Answer:

length = 13 ft

Width = 3 ft

Step-by-step explanation:

Width = w ft

Length = ( w +10 ) ft

Area = 39 square ft

length * width = 39

(w +10)* w = 39

w *w + 10*w = 39

w² + 10w - 39 = 0

w² + 13w - 3w - 3*13 = 0

w(w + 13) - 3(w + 13) = 0

(w + 13) (w - 3) = 0    {Ignore w + 13 , as measurement cannot be in negative}

w - 3 = 0

      w = 3

length = 3 +10 = 13 ft

9514 1404 393

Answer:

  (d)  112°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠P = 180° -∠R = 180° -68°

∠P = 112°

Answer:

112 degrees.

Step-by-step explanation:

This is an isosceles trapezium.

So the required angle = 180 - 68 = 112.

Answer:

the answer is c

Step-by-step explanation:

:))))))))

Answer:ok

Step-by-step explanation:

Answer:

x = 31

Step-by-step explanation:

∠ A and ∠ B are vertical angles and are congruent, then

6x - 25 = 5x + 6 ( subtract 5x from both sides )

x - 25 = 6 ( add 25 to both sides )

x = 31

Answer:

Its C

Step-by-step explanation:

Because its c

Answer:

Not sure

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Question:

Alfie tossed a paper cup in the air 150 times and recorded the side it landed on.

     Right side up = 60         Upside down = 53             Side = 37

If Alfie tosses the paper cup 100 more times what is the expected number of times the cup will land on its side?

Answer:

The expected number of times the cup will land on its side is 25 times

Step-by-step explanation:

Given

[tex]Right = 60[/tex]

[tex]Upside\ down = 53[/tex]

[tex]Side = 37[/tex]

Required

First, we calculate the probability of landing on side

[tex]P(Side) = \frac{n(Side)}{Total}[/tex]

[tex]P(Side) = \frac{37}{150}[/tex]

[tex]P(Side) = 0.247[/tex]

Next, we calculate the expected value; E(x) using:

[tex]E(x) = n * P(x)[/tex]

When tossed 100  more times:

n = 100 and P(x) = P(Side) = 0.247

So:

[tex]E(x) = 100 * 0.247[/tex]

[tex]E(x) = 24.7[/tex]

[tex]E(x) = 25[/tex] --- approximated

Hence, it is expected that it will land on its side 25 times

Answer:

A(-2/3)

B(-1/6)

C(1/2)

D(4/3)

Step-by-step explanation:

There are 6 tics in each section.

That means each tic is 1/6

A(-4/6) -> (-2/3)

B(-1/6)

C(3/6) -> (1/2)

D(8/6) -> (4/3)

Answer:

D

Step-by-step explanation:

use math wwwway , it gives ypu the answer and explenation

Answer: 5040

Step-by-step explanation: There are 4 sides which is equal to 1260, 1260 x 4 = 5040

Answer:

-7 and -8  

Step-by-step explanation:

because 7 times 8 equals 56 and negative times a negitive equals a positive and -7 added to -8 equals -15

The pair of numbers which fulfill the given condition 2.6 & -1.76

and -17.6 & 2.6.

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Let x and y be the two numbers we're trying to find. We know that:

x * y = 56 (equation 1)

x + y = -15 (equation 2)

y = -15 - x (equation 3)

Substituting equation 3 into equation 1, we get:

x * (-15 - x) = 56

-x² - 15x + 56 = 0

x² + 15x - 56 = 0

Using the quadratic formula, we get:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = 15, and c = -56.

Substituting the values, we get:

x = (-15 ± 20.2) / 2

x = (-15 + 20.2) / 2 = 2.6

x = (-15 - 20.2) / 2 = -17.1

For x = 2.6:

y = -15 - x = -15 - 2.6 = -17.6

So, one possible pair of numbers is x = 2.6 and y = -17.6.

For x = -17.1:

y = -15 - x = -15 - (-17.1) = 2.1

So, another possible pair of numbers is x = -17.1 and y = 2.1.

Therefore, the two numbers that multiply to 56 and add to -15 are approximately -17.1 and 2.6, or vice versa.

To know more about quadratic equation check:

https://brainly.com/question/30098550

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Answer:

x = 2 & y = 8

And this means-

x+y=10

Note:- These type of questions can have infinite solutions

Answer:

y=x+6

Step-by-step explanation:

Answer:

27000

Step-by-step explanation:

I = P×R×T

=2000×25/10×5

=25000

AMOUNT= P+I

=2000+25000

=27000

Compound interest:-

Total:-