Which polynomial is prime?
O x3 + 3x2 - 2x - 6
O x° - 2x- + 3x - 6
O 4x4 + 4x3 - 2x - 2
O 2x + x3-x+2

Answer:

Add 3 to both sides of the equation

Solution:

The first step is to basically realize that all it's asking you to do is to find a way to make the expression on the left ([tex]x^2 - 8x + 13[/tex]) into an expression that is a perfect square. So what number should you add to both sides such that [tex]x^2 - 8x + (13 + j)[/tex] can be factored into [tex](x-p)^2[/tex] ? Well, we can approach it like this:

Since [tex](x-p)^2[/tex] can be turned into [tex]x^2 -2px + p^2[/tex], and our original form was [tex]x^2 - 8x + (13 + j)[/tex], we quickly realize that [tex]-2px = -8x[/tex]. From there, we can easily tell that [tex]p = 4[/tex]

Plug this into our last value [tex]p^2[/tex] to get 16. Therefore, if we compare this with our original equation again [tex]x^2 - 8x + (13 + j)[/tex], we notice that 13 + j = 16.

Thus, j = 3 for the last answer.

Add 3 to both sides of the equation.

Note: With more practice, you will quickly gain enough intuition to notice that [tex]x^2 - 8x + 13[/tex] is very close to [tex]x^2 - 8x + 16[/tex] which can be factored into [tex](x-4)^2[/tex]. But for now, the solution above will suffice. I hope this helps :))

Answer:

$3.49 for the muffin, and $2.96 for the coffee

Step-by-step explanation:

(3.25)(1.075) = 3.49

(2.75)(1.075) = 2.96

How to find the factor to multiply by

1.075 = 1+.075, 7.5% = 7.5/100 =  .075

2. Answer: $0.45

Explanation:

2.75x.075=.24375

3.25x.075=.20625

.24375+.20625=0.45

3. Answer: $91.80

Explanation:

85x0.08=6.80

6.80+85=91.80

4. Answer: $728.75

Explanation:

687.50x.06=41.25

41.25+687.50

5. Answer: $17.28

Explanation:

216x.08=17.28

6. Answer: $0.99

Explanation:

8.5x0.06=0.51

0.51+8.50=9.01

10-9.01=0.99

The direction of inequality is reversed when you multiply or divide both sides by a negative value.

When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.

Example- x + 3 <= 10

A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.

The solution set of an inequality is the set of all solutions.

The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.

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Answer: A

Step-by-step explanation:

Based on the graph, we know that it is decreasing if it is going down from left to right.

A: correct

Looking at choice A, it says the interval is from -4<x<-3. This means we have to find x=-4 and x=-3. On the graph, that interval is going down from left to right, so it is decreasing.

B: incorrect

Looking at choice B, it says the interval is from -2<x<0. This means we have to find x=-2 and x=0. On the graph, that interval is going up from left to right, so it is increasing.

C: incorrect

Looking at choice C, it says the interval is from 0<x<2. This means we have to find x=0 and x=2. On the graph, that interval is going up from left to right, so it is increasing.

D: incorrect

Since we have identified A as decreasing, then none of the above can't be the answer.

Therefore, A is the correct answer.

The value of the minutes in the game 2 is 3 and the proportion is 8/3.

As per the question,

Game 1 has, 6 penalties in 16 minutes and Game 2 has 8 penalties in m minutes.

Now, we have to form a proportion,

A proportion is a fractional relation between any two quantities.

So, if we say that the penalties in every game are in proportion, we write a proportion of penalties per minute.

6/16 = 8/m

m = 6x8/16

m = 3

So, the penalties in the game 2 are 3 and the proportion is 8/3.

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$164.86 more is needed to reach the goal of $1,200.00.

First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:

$1,200.00 * 50% = $600.00

Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:

$600.00 * 1/3 = $200.00

Now we can add up the amount raised by all three classes to see how much has been raised in total:

$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14

Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:

$1,200.00 - $1,035.14 = $164.86

So $164.86 more is needed to reach the goal of $1,200.00.

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No, 9x2 42x 49 is not a perfect square trinomial.

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,

where a and b are numbers or variables.

9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.

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Answer:

related to their eyes. How would you assign random numbers to conduct a simulation based on this

A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol.

A few more constant examples are :

The number of days in a week represents a constant.

Substitute:

m*o+b=18

m+b=20

Apply Zero Property of Multiplication:

b=18

m+b=20

Substitute into one of the equations:m+18=20

Rearrange unknown terms to the left side of the equation:m=20-18

Calculate the sum or difference:m=2

The solution of the system is:

b=18

m=2

The answer is b=18 m=2

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multiple 5x 3 3/4 then change to an improper fraction

Answer:

The correct answers are A D E

Step-by-step explanation:

Answer:

Same

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

Eva spends £35 in a month.

Step-by-step explanation:

We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.

We are looking to find out how much money does she spend in a month.

To calculate this, we can use the following formula:

Spent money = Allowance - (Allowance / (5 + 1))

Plugging in the known values:

Spent money = 42 - (42 / (5 + 1))

Spent money = 42 - (42 / 6)

Spent money = 42 - 7

Spent money = 35

So, Eva spends £35 in a month.

Answer:

Vaporization

Step-by-step explanation:

Answer:

A. 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

9 + (1/2)⁴ · 48

Step 2: Evaluate

Answer:

503634

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r) n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

200,000(1.08)^12

a) This part is already complete I think..

b) This is a cuboid and lateral surface area of cuboid is: 2(lb +bh + hl)

= 2( 10 × 3 + 3 × 7 + 7 × 10)

= 2(30 + 21 + 70)

= 2 × 121 = 242 cm²

Now, the area of top & bottom: lb

= 2 × 10 × 3

= 60 cm²

Neglecting the top & bottom surface area of cuboid:

= 242 - 60

= 180 cm²

c) The total surface area us 242.. I have already done that part above...

__________________________

If i have done something wrong.. please lemme know :)

Answer:

30/100 X $60= $18.

The original price will be $60 + $18 = $78.

We know that the inside angle of a triangle is 180 so 180 takeaway 46+86=

48 and 48/6=8

so the answer is 8

GOOD LUCK IN BRAINLY!

Answer:

x = 12°

Step-by-step explanation:

46° + 86° + 4x = 180°

132° + 4x = 180°

4x = 48°

x = 12°

Answer:

Step-by-step explanation: i'd say jus divide

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:

  Tan = Opposite/Adjacent

Using the values on the diagram, we have ...

  tan(65°) = 18/y

Multiplying by y/tan(65°) gives ...

  y = 18/tan(65°)

  y ≈ 8.3935 ≈ 8.4

Therefore, the equation that best fits these scatter plot facts as the answer to this problem is y=661-0.1x.

The term "scatter plot" refers to a particular sort of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that arise indicating any association between the data.

Given the correlation between the data at this moment and the graph provided in the question, y=661-0.1x is an equation that best captures the scatterplot's line of best fit.A scatter plot is a specific type of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that appear showing any associations between the data.

y=661-0.1x is the equation whose solution best fits this data.

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Answer:

The sine of the opposite angle

Answer:

8

Step-by-step explanation:

Answer:

1) c. AD || CE

2) solve them both first:

3y + 1 = 6x + 4                2y + 1 = x - 9

3y = 6x + 3                     2y = x - 10

y = 2x + 1 .                      y = 1/2x - 5

Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated

Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.

The answer is D, neither parallel nor perpendicular.

3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.

[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]

The answer is D.

4) d. GB || HC

5) d. 345.6

[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]

A ≈ 345.58 ≈ 345.6

6) first change the other equation (4x + 2y = 10) to slope-intercept form:

2y = -4x + 10

y = -2x + 5

because the line must be parallel, it has to have a slope = -2

That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.

7) best bet is a. EH and BC are coplanar, but I'm really not sure

8) d. DB and HF

9) first change the other equation (4x - 6y = 15) to slope-intercept form:

-6y = -4x + 15

y = 2/3x - 5/2

slope of the perpendicular line should be -3/2

y = -3/2x + a

9 = -3/2(6) + a

9 = -9 + a

a = 18

y = -3/2x + 18

which is the same as y - 9 = -3/2(x - 6), which is A

Answer:

By using the Pythagorean theorem, the sides form a right triangle:

36^2 + 15^2 = 39^2

12.57 cm is the length of the label on bottle.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that a  bottle of Buckley's has a radius of 2cm

You need to create a label for this product

We need to find the length of this label.

Means we need to find the circumference of the bottle.

The formula for circumference is

C=2πr

Given radius is 2cm

C=2×3.14×2

C=12.57 cm

Hence, 12.57 cm is the length of the label on bottle.

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