A rectangle has a length of x-8 and a width of x-9. Which equation below describes the perimeter, P, of the rectangle in terms of x?
a. P=x² - 17x+72
b. P=x-17
c. P = 2x-17
d. P = 4x - 34

*show your work*

Answers

Answer 1

Answer:

d.

Step-by-step explanation:

Given a length [tex]l[/tex] and a width [tex]w[/tex], we can express the perimeter of a rectangle as [tex]2(l+w)[/tex].

Therefore the perimeter [tex]P[/tex] can be expressed as

[tex]2\times[(x-8)+(x-9)]\\=2\times(2x-17)\\=4x-34[/tex]


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Step-by-step explanation:

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What are the coefficients of the expression -sup(x,2)+9x?

Answers

The coefficients in the expression are -1 and 9

How to determine the coefficients?

The expression is given as:

-x^2 + 9x

In an expression ax, the coefficient is a.

Using the above as a guide, we have:

-x^2 + 9x

The coefficients in the above expression are -1 and 9

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Interior and exterior triangle angles

Answers

Answer:

Step-by-step explanation:

Hey can someone tell me the steps to solving a system of equations with graphing

Answers

Answer:

Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.

[tex]8x-3y = 17\\4x+y=21[/tex]

If you can use an online graphing calculator...

If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.

Lines intersect -> Put your cursor over the point of intersection to get the solution.Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines are the same and have infinite solutions

If you have a physical graphing calculator (like TI-84)

1. Get both equations in the form [tex]y=mx+b[/tex] by solving for y.

[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex]               [tex]4x+y=21\\y=-4x+21[/tex]

2. Put both equations in the graphing calculator

Lines intersect -> Find the intersection point using your graphing calculator's mechanics (each one is a little different)Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines have the same equation and have infinite solutions

If you just have graphing paper...

1. Get both equations into the form [tex]y=mx+b[/tex] by solving for y.

[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex]                    [tex]4x+y=21\\y=-4x+21[/tex]

2. Plug in a few different points for x and calculate their y-values.

3. Plot those points on the graph paper

Lines intersect -> Find the intersection point's coordinates to get the solution for x and y.Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines have the same equation and have infinite solutions.

Which figure is described below?
The locus of points in a plane 1 unit from the point (0,0).
ray
circle
plane
line

Answers

Answer:

CIRCLE

Step-by-step explanation:

Follow the steps to find the
area of the shaded region.
Now use the formula below
to find the area of the
triangle.
Triangle Area = bh
h = 6.2172 cm
Triangle Area = [?] cm²
Round to four decimal places.
129
8 cm

Answers

The area of the triangle will be 14.9835cm².

How fo you find the area of a triangle?

Your information is incomplete and the complete question wasn't found. An overview will be given.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it.

In this case, let the assumed base be 4.82cm and the height is given as 6.2172cm.

The area will be:

= 1/2 × 4.82 × 6.2172

= 14.9835cm²

In conclusion, the area is 14.9835cm².

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A person mixed 80l milk with 2% fat and 40l milk together. If the fat amount in the whole mixture is 3%, what is the fat percentage in the second type of milk?​

Answers

The fat percentage in the second type(40 liters) of milk is 1%

Percentage

fats in 80 liters milk = 2% fat40 liters = x % fatTotal fat = 3%

Fats in 40 liters of milk = Total fat - fats in 80 litrrs milk

= 3% - 2%

= 1%

Therefore, the fat percentage in the second type of milk is 1%

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this table shows values that represent an exponential function.
x y
1 7
2 9
3 13
4 21
5 37
what is the average rate of change for this function for the interval from x = 1 to x = 3?
a. 4 b. 2 c. 3 d. 8

Answers

The average rate of change for this function for the interval from x = 1 to x = 3 is 3

How to determine the average rate of change?

The average rate of change is calculated as:

m = (f(b)- f(a))/(b - a)

The interval is given as:

x = 1 to x = 3

From the table of values, we have:

f(1) = 7

f(3) = 13

So, we have:

m = (13-7)/(3-1)

Evaluate

m = 3

Hence, the average rate of change for this function for the interval from x = 1 to x = 3 is 3

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Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15, the proportion of people with IQs above 130 is

Answers

The proportion of people with IQs above 130 is 2.3%.

How to calculate the value?

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Here the mean is 100 and a standard deviation of 15.

µ = 100, σ = 15

P(X > 130) =

= P( (X-µ)/σ > (130-100)/15)

= P(z > 2)

= 1 - P(z < 2)

Using excel function:

= 1 - NORM.S.DIST(2, 1)

= 0.023 = 2.3%

The value is 2.3%.

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“The length of a rectangle is two feet greater than twice it’s width. If the perimeter is 25 feet, find the width.” Which of the following translations is correct

Answers

The width of the rectangle is 3.5 feet

Solving for the missing sides of a rectangle

The width of the rectangle = w

The length of the rectangle = l

The perimeter = p

Length of the rectangle is two feet greater than twice it’s width

l  =  2w + 2

p = 2(l + w)

p = 2(2w + 2 + w)

p = 2(3w + 2)

p = 6w + 4

The perimeter of the rectangle is 25 ft

25  =  6w + 4

This can be rewritten as:

6w + 4 = 25

6w = 25 - 4

6w = 21

w = 21/6

w  = 3.5

Therefore, the width of the rectangle is 3.5 feet

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find the unknown side of the right triangle using the information given leg=12m, leg=6 m​

Answers

Answer:

Step-by-step explanation:

Given

Leg =  10

Leg = 6

hypotenuse = ?

equation

c^2 = a^2 + b^2

a = 10

b = 6

Solution

c^2 = 10^2 + 6^2                  Expand

c^2 = 100 + 36                     Combine

c^2 = 136                              Take the square root of both sides

√c^2 = √136

c = 11.66

answer

hypotenuse = 11.66

Write an equation in standard form of the line passing through the points (3, 5) and (8, 15)

Answers

hi,

a point is given  ( x; y)

standar line equation is  :  y = ax+b

So  with  (3;5)  and  (8;15)  we have  :  

   3a+b = 5

   8a+b = 15

so :  

8a+b - ( 3a +b) =  15 -5

8a +b -3a -b = 10

8a-3a = 10

5a = 10

   a = 10/5

    a = 2

if a = 2  so  3*2 +b = 5

                     6+b = 5

                       b = 5-6

                       b = -1

so let check :  

8*2 + (-1) = 16 -1 = 15

and  3*2 -1 = 6-1 = 5

coordonnate works for both point, so line  is   y = 2x -1

Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?
O6 unit left
O6 unit right
O 1 unit left
O 1 unit right

Answers

1 unit to the left
Check the table I attached

Answer:

1 UNIT LEFT best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)².

a shopkeeper buys chewing gum from a wholesale dealer $1 for five pieces. Then he sells it to the customer at $1 for four pieces. what is his profit percentage?​

Answers

Answer:

9

Step-by-step explanation:

it should be that should be the answer it should be 9 bcuz he bout gum for 1 he got 5 peaces so dets 5$ then someone else got sumthing for 1$ and they got 4 peicea so thats 4$ 5+4 is 9

solve for unknown in 2x^3+6x^2-20x=0​

Answers

The solution of x is x = 0, x =2 and x = -5

How to solve for the unknown?

The equation is given as:

2x^3+6x^2-20x=0​

Factor out x

x(2x^2+6x-20)=0​

Split the equation

x = 0 or 2x^2+6x - 20=0​

Solve for x in 2x^2+6x - 20=0​

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

Solve for x

x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

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The perimeter of a right angled triangle, with hypotenuse c=101cm and one side b=20cm, is:​

Answers

Answer:

220

Step-by-step explanation:

We need to find the 3rd side length

We already know the hypotenuse and one side, so we can use the Pythagorean formula.

101^2 = a^2 + 20^2. A is the third side, and solving for it, we find that it equals 99.

Side 1 = 101

Side 2 = 99

Side 3 = 20

101 + 99 + 20 = 220

Can you please help me with this urgently need help?
It is grade 12 advance function question

Answers

Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)

The equation that represents the function will be; y = -1.25sin(0.8x) + 0.25

How does sine function works?

Suppose that we've got

[tex]f(x) = a\sin(bx + c) + d[/tex]

Amplitude or maximum height from average motion horizontal axis

= a + d

Thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).

A sine function is represented as:

y = Asin(B(x+C)) + D

Now, Substitute the calculated values,

y = -1.25sin(0.8(x+C)) + 0.25

The horizontal shift (C) is 0.

So, the function will be;

y = -1.25sin(0.8x) + 0.25

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If you apply the changes below to the exponential parent function f(x)=2^x, what is the equation of the new function? Shifts five units to the right, Shifts seven units down

Answers

the equation of the new function is:

[tex]g(x) = 2^{x - 5} - 7[/tex]

What is the equation of the new function?

We have a function:

[tex]f(x) = 2^x[/tex]

And we want to shift it five units to the right, and seven units down, then the new function will be:

[tex]g(x) = f(x - 5) - 7[/tex]

If we now replace f(x), we get:

[tex]g(x) = 2^{x - 5} - 7[/tex]

That is the equation of the new function.

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Fill in the blank

Which form of compensation is generally paid on a weekly or biweekly basis?

______ are paid weekly or biweekly, while salaries are paid bimonthly or biweekly.

Answers

The blank space in the task content should be filled with; Wages.

What type of employee compensation is Wage?

A wage by it's primitive definition is a fixed regular payment usually paid on a daily or weekly basis by the employer to an employee which could be skilled or unskilled.

Commission, and salary which is a monthly analogue of wages is another form of employee compensation.

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Match each number on the left with the correct description of the number on the right.

Answers

Answer:

im not sure the answer tho- just trying

Write an interval using interval notation to describe the set of values shown above.

Answers

Answer:

(-4,3)

Step-by-step explanation:

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

What are intervals?

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have,

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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At an Ice cream parlor, ice cream cones cost x dollars each and sundaes cost y dollars each. The total cost of 4 cones and 3 sundaes is more than $20. The total cost of 5 cones and 1 sundae is less than $16. Which system of inequalities models this situation?

Answers

4x+3y “more than” 20
5x+y “less than” 16

This are the two system of inequalities.

On Sunday, a local hamburger shop sold a combined total of 320 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Sunday?

Answers

Answer:

80

Step-by-step explanation:

1) if the number of hamburgers is 'h', number of cheesburgers is 'c', then

2) the condition 'The number of cheeseburgers sold was three times the number of hamburgers' can be written as c=3h. Also

3) the condition 'combined total of 320' can be written as h+c=320, then

4) it is possible to make up the system of equations:

[tex]\left \{ {{c=3h} \atop {c+h=320}} \right. \ = > \ \left \{ {{c=240} \atop {h=80}} \right.[/tex]

5) finally, number of hamburgers is 80.

A sports store sells 70 pairs of running shoes per
day for $40.00 each. The owner estimates that
for each $3.00 increase in price, 3 fewer sales
are made each day. What price should be charged
to maximize profit?

Answers

Answer:

$55

Step-by-step explanation:

so, we know that each day the store will currently sell $2800 worth of shoes.

we want to know the maximum of the expression (40+3x)(70-3x), expanding we get 2800 - 9x^2 + 90x,

the maximum of this would be x = 5, so the price they should charge is 55

Find the interquartile of the data set that consists of 8,18,4,2,3,7,11,13,5,1 answers 11,8,6,3

Answers

Answer:

I.Q.R = 11 - 3

I.Q.R = 9

the interquartile range = 9

2) Put the following numbers in order from
greatest to least.
6.05, 6.007, 6.5, 6.25

Answers

Answer: 6.5, 6.25, 6.05, 6.007

Step-by-step explanation:

We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.

6.5, 6.25, 6.05, 6.007

Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.

2 is the second biggest number out of all that are underlined, so 6.25 goes second.

However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.

6.05, 6.007

Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.

Hence, the order is 6.5, 6.25, 6.05, 6.007

What is the solution to the inequality -6+l2p+3l>7?

Answers

Answer: A

Step-by-step explanation: add 6 on each side you get 2p+3>13 then subtract 3 you get

2p> 10 divide by 2 you get p>5

Cheese fries or Home fries

Answers

it gotta be cheese fries fa sho

What is most likely the line of best fit for this scatter plot?
2234H205642
18
16
14
12
10
0123456789 10 12 14
O Line A
Line B
O Line C
O Line D

Answers

The most likely the line of best fit for this scatter plot is line C.

What is scatterplot?

It should be noted that a scatterplot simply means a graph that shows the relationship between the variables in the data set.

In this case, the most likely the line of best fit for this scatter plot is line C. The dependent variable is illustrated in the x axis and the dependent variable is illustrated on the y axis.

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Based on the figure below, what is the value of x?
(5x + 15)
01
09
0 11
15
20°

Answers

Answer:

undefined

Step-by-step explanation:

because

the figure does not appear

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