A square corner of 16 square centimeters is removed from a square paper with an area of 9x2 square centimeters. A square. Most of the square is shaded blue. In the bottom right of the square is a smaller square, outlined in a dashed line, and not shaded. Which expression represents the area of the remaining paper shape in square centimeters? (x – 7)(x – 9) (3x – 2)(3x – 8) (3x – 4)(3x + 4) (9x – 1)(x + 16)

Answer:

a. i) Please see the  included graph of the equation $10·x + $12·y = $300

ii) The intercepts give the maximum number of either short-sleeve (x-intercept) long-sleeved (y-intercept) that can be ordered

Step-by-step explanation:

The given information are;

The cost of each short-sleeved shirt = $10

The cost of each long-sleeved shirt = $12

The amount available in the budget = $300

The equation for the total cost = $10·x + $12·y = $300

Where;

x = The number of short-sleeved shirts

y = The number of long-sleeved shirts

Rewriting the equation given in slope and intercept form, we have;

$10·x + $12·y = $300

$12·y = $300 - $10·x

y = $300/$12 - $10·x/$12

y = 25 - 5/6·x

Please find attached, the graph of the equation made with Microsoft Excel

The values of the data that can calculated to plot the graph are;

x, y

(0, 25 )

(5, 20.83 )

(10, 16.67)

(15, 12.5 )

(20, 8.33)

(25, 4.17)

(30, 0 )

The x-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget, while the y-intercept gives the number of short-sleeve shirts that can be purchased with the $300 available budget.

The graph of the equation is shown below.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Given:

Short-sleeved shirts cost $10 each.  

Long-sleeved shirts cost $12 each.

The total budget is $300.

The given equation is:

[tex]10x+12y=300[/tex]

where [tex]x[/tex] is the number of short-sleeved shirts and [tex]y[/tex] is the number of long-sleeved shirts.

To find:

The graph of the given equation and the interpretation for the intercepts.

Explanation:

We have,

[tex]10x+12y=300[/tex]

Substitute [tex]x=0[/tex].

[tex]10(0)+12y=300[/tex]

[tex]12y=300[/tex]

[tex]y=\dfrac{300}{12}[/tex]

[tex]y=25[/tex]

So, the y-intercept is at point (0,25).

Substitute [tex]y=0[/tex].

[tex]10x+12(0)=300[/tex]

[tex]10x=300[/tex]

[tex]x=\dfrac{300}{10}[/tex]

[tex]x=30[/tex]

So, the x-intercept is at point (30,0).

Plot the points (30,0) and (0,25) on a coordinate plane and connect them by a straight line.

The x-intercept is at point (30,0), which means the number of short-sleeved shirts is 30 when the number of long-sleeved shirts is 0.

The y-intercept is at point (0,25), which means the number of long-sleeved shirts is 25 when the number of short-sleeved shirts is 0.

Learn more:

https://brainly.com/question/13859754

Answer:

Step-by-step explanation:

Hello friend!!!

The signs of the coordinates will be ( - , - )

This is because it is located in the third quadrant and the coordinates of any point on the third quadrant are ( - , - )

Hope this helps

plz mark as brainliest!!!!!!!

The signs of the coordinates should be ( - , - )

Since we know that there are 4 quadrants. In 1st quadrant, the sign is (+,+). In the 2nd quadrant, the sign is (-,+). The 3rd quadrant, the sign is (-,-), And, the fourth quadrant, the sign is (+,-),

So based on this, the above sign should be considered.

learn more about coordinates here: https://brainly.com/question/13596846

Answer:

Step-by-step explanation:

Answer:

The said explanation is the answer.

Step-by-step explanation:

1) Graphing the first function (y = 2x-1). When the exponents of the variables are all 1, that is there are no square, cubes, etc. the equation is a line. Then it is enough to find two points to draw it. We can calculate two points assigning a number to x and calculating the corresponding number for y. For example, when x= 0 y= 2 times 0 -1 = -1. Then the line will pass from the point (0,-1). We need a second point, we can take x=1, then y = 2 times 1 -1 = 1. The line will pass from (1,1). We can mark the two points on the plane and draw the line from these two points.  

2) Graphing the second function (y = x^2-9). A quadratic equation is of the form: ax^2+bx+c= 0. We have: y= f(x) -9. Set y=0. We have the quadratic equation: x^2-9=0. Using the algebraic identity: a^2-b^2=(a+b)(a-b). We can rewrite x^2-9=0 as x^2-3^2=0: [(x+3)(x-3)=0] - [(x+3)=0,(x-3)=0] - [x= -3, x= 3]. Hence, there are two solutions for x. So we have two x-intercepts: (-3,0) and (3,0). To find the y-intercept, set x=0: [(y = (0)^2-9=0)] - [(y=-9)]. Hence the y-intercept: (0,-9)

In conclusion, this system of equations at most has two real solutions, since two points of both functions intersect each other.

Here's the graph:

Answer: 212.50%

Step-by-step explanation:

Answer:

Meters, miles, feet, centimeters

Step-by-step explanation:

Answer:

The Answer is D

Step-by-step explanation:

I hope This helps

Answer:

5*2 - 3

10-3

7

Step-by-step explanation:

mark me as the brainliest

Answer:

two and a half

Step-by-step explanation:

Possible Answers: I searched too as I’m not very smart but I found one that happened to be multiple choice and this were the options. A. 120 miles

B. 200 miles C. 280 miles D. 360 miles E.400 miles

Step-by-step explanation: Personally I believe it should be 400.

Answer:

B

Step-by-step explanation:

Since one inch on a map must represent a few miles in reality, B is the only logical answer to this question

Answer:

True

Step-by-step explanation:

I hope this helps!

Answer:

yea what he said..........

Answer:

i believe it's A. f(x) slope is greater than g(x) slope

Step-by-step explanation:

the slope of f(x) is -2, while g(x) is -6. you may think "why isn't -6? 6 is bigger, isn't it?" In this case, they're both negative so the number closer to zero is the greater one

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Midpoint formula:

Substituting values:

Missing endpoint is:

Answer:

x=1.125

Step-by-step explanation:

Answer:

1.125

Step-by-step explanation:

7x + 3 = 4x - 5x + 12

7x + 3 = -x + 12

+x           +x

8x + 3 = 12

   -3       -3

8x = 9

x = 1.125

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The quickest way to do this is to look how much it goes down and then how much it goes left. This is called rise over run. So the line goes 2 down then left 3 to get from one perfect point to another.

So the answer is Choice D. It went down 2 so it's negative.

Answer:

x = -20

Step-by-step explanation:

just divide -4 into both sides

Answer: Dear friend google

Step-by-step explanation: search it up

Answer: x = 31

Step-by-step explanation: 13+18=31, so 31-18=13.

Answer:

x = 31

Step-by-step explanation:

-Get x alone

13 = x -  18

-add 18 to each side

x=31

Answer:

infinite solutions

Step-by-step explanation:

Given

8(k - 6) + 58 = 2(4k + 5) ← distribute parenthesis on both sides

8k - 48 + 58 = 8k + 10 , that is

8k + 10 = 8k + 10

Since both sides are equal then any value of x will make the equation true.

There are an infinite number of solutions

Answer:

Y=5/2x -4

Step-by-step explanation:

Answer:

914.2947

Step-by-step explanation:

Answer:

22g+6

Step-by-step explanation:

-3(-4g-6g-2)-8g  To simplify this, we have to distribute first.

12g+18g+6-8g    Now, we can combine like terms. (I underlined the parts with the variable to make it easier to see which parts were considered like terms.)

22g+6                 This is your simplified answer!!

Hope this helps...have a wonderful day c:

Answer:

20 minutes

Step-by-step explanation:

Answer:

the answer is approximately 0.4545

Step-by-step explanation:

I just searched it on google. i got you my guy

Answer: 5/11

The denominator (bottom number) stays the same when adding or subtracting fractions. In this case, you simply subtract 4 from 9 and get 5, which is your numerator (top number).

So: 9/11 - 4/11 = 5/11

Answer:

405.45

Step-by-step explanation:

405.45

yw

Answer: The answer is Y=3/4x -4.5

Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5