Factorise
х²- Чx - 21+1oy-y²​

Answer:

The graphs below show the cost y of buying x pounds of fruit. One graph shows the cost of buying x pounds of peaches, and the other shows the cost of buying x pounds of plums.

Which kind of fruit costs more per pound? Explain.

Bananas cost less per pound than peaches or plums. Draw a line alongside the other graphs that might represent the cost y of buying x pounds of bananas.

IM Commentary

This task allows students to reason about the relative costs per pound of the two fruits without actually knowing what the costs are. Students who find this difficult may add a scale to the graph and reason about the meanings of the ordered pairs. Comparing the two approaches in a class discussion can be a profitable way to help students make sense of slope.

Solutions

Solution: Slope as Unit Rate

The graph that represents the cost of x pounds of peaches is steeper, so it must have a larger slope. The slope can be interpreted as the unit rate; in this case it tells you the cost of a single pound of fruit.

Since the slope for the peach graph is greater than the slope of the plum graph, the cost of a pound of peaches is greater than the cost of a pound of plums.

For b, students should realize that the cost per pound of bananas will be represented by a slope that is less than either of the other two, and draw a line through the origin labeled "Bananas" and lying below both of the other graphs.

Solution: Adding a scale to the graph

Students who prefer to work with specific numbers can approach this problem by sketching in a scale on the x-axis and y-axis. For example, if they decided that a pound of peaches might cost a dollar, then they might plot the point (1,1) on the line labeled "Peaches", then fill out the rest of the scale accordingly. They could then read off the cost of a pound of plums and see that it is less than for peaches.

For the second question, they could choose any price per pound b for bananas that is less than the one they read off for plums, and then draw a line from the origin through the point (b, 1), and label it "Bananas".

The variance of the set  { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 } is 7.5

What is Variance?

Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value

Given data ,

The set S = { 2 , 6 , 8 , 3 , 7 , 9 , 1 , 4 }

Step 1 :

To calculate the mean ,

Mean = Sum of Observations / Number of Observations

         = ( 2 + 6 + 8 + 3 + 7 + 9 + 1 + 4 ) / 8

         = 40 / 8

         = 5

Step 2 :

Take each difference from mean and square it

( 2 - 5 )² = 9

( 6 - 5 )² = 1

( 8 - 5 )² = 9

( 3 - 5 )² = 4

( 7 - 5)² = 4

( 9 - 5 )² = 16

( 1 - 5 )² = 16

( 4 - 5 )² = 1

And Sum of 9 + 1 + 9 + 4 + 4 + 16 + 16 + 1 = 60

Step 3 :

Variance = The mean of squared difference

               = 60 / 8

               = 7.5

Hence , the variance is 7.5

To learn more about variance click :

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Answer: [tex]\frac{6}{2}[/tex]

Step-by-step explanation:

1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change

2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]

3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))

4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]

6. Solve [tex]\frac{6}{2}[/tex]

Answer:

Income Linda make = $150

Step-by-step explanation:

Given:

y = 0.10x + 85

Assume;

Sales = $650

Find:

Income Linda make

Computation:

Income Linda make = 0.10x + 85

Income Linda make = 0.10(650) + 85

Income Linda make = 65 + 85

Income Linda make = $150

Answer:

you're correct! :)

Step-by-step explanation:

Yes it is correct dear.

Now you can make it on a graph by the solutions of the equation.

For the value of x,

[tex]9x + 3y = 15 \\ = > 9x = 15 - 3y \\ = > x = \frac{15 - 3y}{9} \\ = > x = \frac{3(5 - y)}{9} \\ = > x = \frac{5 - y}{3} [/tex]

And for value of y,

[tex]9x + 3y = 15 \\ = > 3y = 15 - 9x \\ = > y = \frac{15 - 9x}{3} \\ = > y = \frac{3(5 - 3x)}{3} \\ = > y = 5 - 3x \: \: \: or \: \: \: \\ y = - 3x + 5[/tex]

Answer:

30.5

Step-by-step explanation:

cos18=29/x --> reciprocate for simplicity : 1/cos18=x/29 --> solve for x

Answer:

A) A line

Step-by-step explanation:

Notice that:

x-y=4

-y=4-x

y=-4+x

y=x-4

The equation y=mx+b produces a line, so A) a line would be correct

Answer: is a line

Step-by-step explanation:

because  does it have to be a line from a line

Answer:

$65

Step-by-step explanation:

Add 53 and 12 together to see how much it costed.

Answer:

25

Step-by-step explanation:

144/60 = 2.4

60/2.4 = x

x = 25

Answer:

Step-by-step explanation:

20x+85=

20(6)+85=

120+85= $205

Answer:

personally i think c

Step-by-step explanation:

its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5

Answer:

The values of a,b,c and d are as follows:

a = 3, b = -12, c = -5, d = 10

Step-by-step explanation:

Given functions are:

[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]

We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)

So,

[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]

Combining alike terms

[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]

Now it was given that:

f(x)- g(x)= ax^3+bx^2+ cx+d

By comparing both we get

a = 3, b = -12, c = -5, d = 10

Hence,

The values of a,b,c and d are as follows:

a = 3, b = -12, c = -5, d = 10

Answer: That would be 1 case  + 112 pack + 16 pack +  5 singles

Step-by-step explanation:

1. Simplify 0.24 x 14.3 to 3.432.

= 3.432 ÷ 5.2

2. Simplify 3.432 ÷ 5.2 to 0.66.

= 0.66

Answer:

C. 8

Step-by-step explanation:

8 x 40 = 320$ plus 30$ fee is 350

Answer:

8

Step-by-step explanation:

40x 80=320

320+30=350

Answer:

The solution set is  {-7, 7}.

Step-by-step explanation:

He was half right .There are 2 solution d = -7 and d = 7.

Answer:

a and c I think if I'm wrong I will try again

Answer:

The first and third option. (I think)

Step-by-step explanation:

Answer:

uh 4?

Step-by-step explanation:

Answer:

5741.135

Step-by-step explanation:

Hope that helped

Answer:

5741.13561032

Step-by-step explanation:

brainliest?? just sayin

Answer:

some information is missing, so I looked for similar questions and found the attached image:

since each recipe requires ¹/₂ cup of butter, you are able to make 12 ÷ ¹/₂ = 24 recipes with one container of butter (assuming you have all the other ingredients).

One-half, ¹/₂, is a fraction that can also be written in decimal form as 0.5. Two times ¹/₂ is equal to 1, and similarly, twenty four times ¹/₂ is equal to 12.

Answer:

One hundred one and one hundred one thousandths

Step-by-step explanation:

Answer:

Step-by-step explanation:

basicliy he's saying c

wich is true:)

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

Answer:

42b -7.5

I think that's the answer since you are getting a discount which means you are subtracting

Answer:

option C.

Step-by-step explanation:

well the numerator is three. So I don't see why not.

Answer:

-1

Step-by-step explanation:

Derivative of cos(x)=-sin(x)

Derivative of e^x=e^x

Derivative of cos(x)-e^x= - sin(x)-e^x

plug in 0 to the spots of x and you will get 1 because sin(0) is 0 e^0 is 1

0-1=-1

Answer:

For C all she has to do is look at the chart-

0=0

1=4

2=8

3=12

4=16

Answer:

poopy

Step-by-step explanation:

Tee Hee

Answer:

a, 30 minutes

Step-by-step explanation:

108 divided by 20 is 54

162 divided by 54 is 30

Answer:

D

since 45027/3 is is 15009 and 804597/3 is 268199

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

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

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

[tex]m=\frac{2}{5}[/tex]

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it