What is the difference between a difference of two squares and a perfect square trinomial?

Answer:

(6, 5 )

Step-by-step explanation:

3x + 2y = 28 → (1)

5x - 3y = 15 → (2)

multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y

9x + 6y = 84 → (3)

10x - 6y = 30 → (4)

add (3) and (4) term by term to eliminate y

19x + 0 = 114

19x = 114 ( divide both sides by 19 )

x = 6

substitute x = 6 into either of the 2 equations and solve for y

substituting into (1)

3(6) + 2y = 28

18 + 2y = 28 ( subtract 18 from both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (6, 5 )

The company is likely to sell 3,120 copies of rock music per week.

If the company estimates sales of 6,000 copies a week at its online store, it is likely that 78/150 x 6,000 = 3,120 copies will be from the rock genre.

To find this, we first need to calculate the proportion of visitors that preferred rock music by dividing the number of visitors who preferred rock (78) by the total number of visitors surveyed (150). This gives us 78/150 = 0.52.

Next, we multiply this proportion by the estimated number of weekly sales at the online store (6,000) to find the number of sales that are likely to be from the rock genre. 0.52 x 6,000 = 3,120.

So, the company is likely to sell 3,120 copies of rock music per week.

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Answer:

C.  The y-intercept is (0,24).  Jamie has 24 tickets before going on any rides.

Step-by-step explanation:

Rides  Tickets Left

  0           24

  1            18

  2           12

  3             6

  4             0

Let x be the number of rides taken and y be the number of tickets remaining.  We can write the equation for this linear function as:

  y = -6x + 24

The y-intercept, 24, tells us how many tickets Jamie has before taking any rides (x = 0).  He has 24 tickets.  His first ride reduces that amount by 6, so the slope of this line is -6 (Jamie uses 6 tickets per ride).

The y-intercept is written as (0,24):  Jamie has 24 tickets before any ride is taken.  This is option C.

Therefore, the answer to the provided problem of tractable problem turns out to be the most common problem that has been shown to be insoluble.

a method that takes a polynomial amount of time to finish a manageable task. It makes advantage of the polynomial upper bound. Intractable refers to a problem that cannot be addressed in a polynomial amount of time. The bound has an exponential minimum.

Here,

It is the most common issue that has been shown to be intractable since there is no program that can fix the stopping trouble for sufficiently general computer programs.

We need to be clear about the kind of computer program we're talking about.

Therefore, the answer to the provided problem of tractability turns out to be the most common problem that has been shown to be insoluble.

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As per the given standard deviation, the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair is 0.72

Here we have given that the score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29.

And the score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.

Then the probability is calculated as,

=> 123/104

=> 1.182

Where as the based on the standard deviation, the value is calculated as

=> 29/34

=> 0.852

Then the total probability of the given situation is calculated as,

=> 0.852/1.182

=> 0.72

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The slope of the graph is equivalent to 6 units.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the graph showing the amount of water in the tank after the several minutes of it being turned off.

We can write the slope of the graph as -

m = (16 - 10)/(2 - 1)

m = 6

Therefore, the slope of the graph is equivalent to 6 units.

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the value of x would be 22/3 after simplification.

The acts or process of simplifying something such that it is simpler to accomplish or understand, or the item that is the consequence of such simplifying: The group offers suggestions on how to make trade procedures simpler. In mathematics, we generally use the PEMDAS method to simplify the values.

Given, the equation in the form of x is  3/4(x−8)= −1/2

For the value of x

3/4(x−8)= −1/2

multiply by 4 on both sides

3(x - 8) = -2

divide by 3 into both the sides

x - 8 = -2/3

add 8 on both sides

x = -2/3 + 8

x =  22/3

therefore, the value of x for the given equation 3/4(x−8)= −1/2 is 22/3.

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So we know that if you multiply a negative number by a positive number, you get a negative number. We also know that if you multiply a negative number by a negative number you get a positive number! (Two negatives cancel each other out!)

So going down the list:

(-3)(-6) = positive (two negatives!)

(-3)(6) = negative (one negative, one positive!)

-(-3)(6) = positive (this is because you multiple left to right. because the negative is technically a -1 multiplying the -3, your -3 turns into a +3!)

(2)(3)(-6) = negative

(-2)(-3)(-6) = negative (remember, you multiply in the order of left to right! So multiplying the -2 and -3 gives you a positive. However, the -6 makes that positive number negative!)

(2)(-3)(-6) = positive

I hope this helps!

Step-by-step explanation:

Let A be the sum from 100 to 300

so the sum of 97 to 298 =

A - (299+300) + 97 +98

= A - 403

Answer:

Point 1 (-7, 1)

Point 2 (=9`, -5)

Point 3 (-2, 4)

Step-by-step explanation:

Step 1. Move each point by 1 to the left. (Shown in dark blue)

Step 2: Move the points in dark blue down by 7. (shown lin light blue)

Step 3: find each point by lining up x and y.

You can be identified by x being left to right resembling shaking your head saying "no"

for Y shake your head up and down for Yes.

There are basically 6 types of angles are there which are acute, obtuse, right, straight, reflex and complete angles.

If an angle is less than 90 degrees, it is known as an acute angle. If an angle is more than 90 degrees, then it is called an obtuse angle. If an angle is exactly 90 degrees, then it is called the right angle.

If an angle is precisely 180 degrees, then it is called a straight angle. If the angle is more than 180 degrees but less than 270 degrees, it is known as a reflex angle. A full 360-degree angle is called a complete angle.

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The number of nonzero letters that will see Ash and Bea's engraving prices being the same, is  25 letters

The formula for the cost to engrave with Ash, given that the number of letters engraved is x, would be :

= Flat fee + Cost per letter x Number of letters after 21 letters

= 1. 50 + 0. 08 x

The formula for the cost to engrave with Bea, given that the number of letters engraved is x, would be :

= Flat fee + Cost per letter x Number of letters after 15 letters

= 1. 60 + 0. 07 x

Equating these equations together will show the number of letters :

1. 50 + 0. 08 x = 1. 60 + 0. 07 x

0. 08 x - 0. 07 x =  1. 60 - 1. 50

0. 01 x = 1. 10

x = 0. 10 / 0. 01

x = 10 letters

Number of non zero number of letters would be 25 letters :
= 15 + 10

= 25 letters

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yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

Given that,

10% discount on the print job

thus, 10% = 0.10.

Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).

so, we get: 0.10 × (17.50 + 0.20f)

Yes,  0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.

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Answer:

8 + 56d

Step-by-step explanation:

We will open the parentheses, multiplying the stuff outside by the stuff inside. So, we get:

8*1 + 8*7d

Then, we can simplify by giving us:

8 + 56d

Hope this helped!

Answer:

[tex]5x^2-3x-7,\,\,f(-2)=19[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x+3x^2+x-7\\f(x)=5x^2-3x-7\\f(-2)=5(-2)^2-3(-2)-7\\f(-2)=5(4)+6-7\\f(-2)=20-1\\f(-2)=19[/tex]

Answer:

Step-by-step explanation:

7 7/9 Is the first one

And 7.7 with the second 7 repeating

Cory is hiking up a hill with a constant slope the double number line shows that after Cory hikes 3 km his elevation is 120 m. Select the double number line that correctly labels is option 'A'.

From brief half-day programs to extensive itineraries lasting more than 20 days, the activity's duration varies. The majority of the time, it is an activity that accepts groups of various sizes.

A long stroll, especially one undertaken for the sake of recreation or exercise; see also hike; an increase, particularly in quantity or amount. While it is entirely up to each hiker to assign whatever classification they see fit to their experience, I have found that the vast majority of hikers fall into one of the three most common categories: peak-bagging, long-distance hiking, or day hiking.

Because it is a constant slope and Cory hikes 3 km his elevation is 120 m.

slpoe = 120m/3km = 40m/1km

So, Cory's elevation after he hikes 1 km, his elevation is 40 m.

Cory's elevation after he hikes 2 km, his elevation is (2*40 m) 80 m.

Cory's elevation after he hikes 4 km, his elevation is (4*40 m) 160 m.

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The complete question is:

Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 km his elevation is 120m. Select the double number line that correctly labels Cory's elevation after he hikes 1, 2, and 4 km. Choose 1 answer:

Answer:

Step-by-step explanation:

y - 5 = -1/7(x - 4)

y - 5 = -1/7x + 4/7

y - 35/7 = -1/7x + 4/7

y = -1/7x + 39/7

The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

What is Quadratic Equation?

Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.

where a,b,c are constants.

Given ,

The standard form of a quadratic is given by:

ax^2 + bx + c

So for our function, we can say,

a = 0.1

b = -22

c = 11599

We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a

So,

= -(-22) / 2*0.1

=22/0.2

= 110

Plugging this value into original function would give us the minimum (unit cost):

C(x) = 0.1 x ^2 - 22x +11599

C(x) = 0.1(110*110) - 22(110)+11599

C(x) = 110(11-22) + 11,599

C(x) = -11(110) + 11599

C(x) = -1210 + 11599

C(x) = 10,389

Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .

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A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

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Answer:

no

Step-by-step explanation:

3x2=6 ;-;

Is it possible for [tex]3\times2[/tex] to equal 1?

[tex]3\times2=6[/tex]

[tex]6\neq 1[/tex]

Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.

1) false

2) false

3) true

4) true

5) true

Answer:

1 false,2 false,3 true,4 true,5 true

Answer:

Answer:

1/8

Step-by-step explanation:

total probability = 1

total probability = probability of red + probability of green + probability of yellow

1 = 1/4 + 5/8 + yellow

we want to find a common denominator

in this case, we know 4 * 2 = 8, so we can multiply 1/4 by 2/2 = 1 to get

1/4 * 2/2 = 2/8

1 = 2/8 + 5/8 + yellow

1 = 7/8 + yellow

subtract 7/8 from both sides to isolate yellow

1 = 8/8

1 - 7/8 = 8/8 - 7/8 = 1/8 = yellow

Answer:

C is the correct answer

From the graph we can see that at the given interval [-6,0] the graph decreases from left to right.

Initially the y-values is a little over 3 and then it decreases to about 0.5 at the end of the interval.

Thus, the graph of the function over the interval [-6,0] is decreasing.