State the value of the discriminant of the equation. Then determine the number of real solutions of the equation.
8n^2-4n+2=5n

Answer: 10

Step-by-step explanation:

We know that in the binomial expansion of [tex](a+b)^n[/tex], the total number of terms = n+1

For the binomial expansion of [tex](3x + 5)^9[/tex] , n= 9

Then, the  total number of terms in binomial expansion of [tex](3x + 5)^9[/tex] will be :-

[tex]n+1=9+1=10[/tex]

Hence, there are 10  terms are in the binomial expansion of [tex](3x +5)^9[/tex].

Answer:

D

Step-by-step explanation:

Circumference of a circle:

[tex]\pi \times d[/tex]

and pie is 3.14

therefore

[tex]3.14 \times 33 = 103.62[/tex]

Answer:

2 / (x + 1).

Step-by-step explanation:

If the number is represented by x the expression is:

2 / (x + 1).

Answer:

2 / (x + 1).

Step-by-step explanation:

If the quotient of 2 and the sum of a number and 1 is 2 / (x + 1).

Answer:

30

Step-by-step explanation:

20% = 20/100= 1/5

It is 1/5 of the number 150

Taking the problem what is 20% of 150

Is means equals and of means multiply

what is 20% of 150

W = 20% * 150

Change 20% to a decimal

W = .20 * 150

W = 30

Answer:

20% of 150 is 30

Step by Step Solution:

To find percentage of any number, we must change the percent to a decimal.

Step 1: Move the decimal place in 20% to the left by two place so that it ends up being .20

Step 2: Now that 20% is now .20, We simply 150 by .20

Conclusion: 20% of 150 is 30

Answer:

It increases

Step-by-step explanation:

if b increases and the only other part of the equation is a constant it should increase as well. for example (the first value is b and the second is b-1) : (1,0) (2,1) (3,2) (4,3) (5,4)...

Answer:

The value increases

Step-by-step explanation:

Thinking process:

Let the expression be: b - 1

Let's say the value of b was 0, then the function will be: 0 - 1 = -1

Let the value of b be increased to 1, the expression will be 1 - 1 = 0

Let the value of b be increased to 2, the expression will be 2 - 1 = 1

Let the value of b be increased to 3, the expression will be 3 - 1 = 2

From the simulation, as the value of b increases, the net value becomes large.

Answer:

x = -1

Step-by-step explanation:

x + 2.5 = 1.5

- 2.5   -2.5

x = -1

Answer:

(g°f)x =16 when x = 5

Step-by-step explanation:

It might be easier to understand if you wrote this the other acceptable way.

g(x) = x^4

f(x) = 2x - 8

g(f(x))  means that in g(x) wherever you see and x you put f(x)

g(f(x)) = (f(x) ) ^ 4 Now put in the general value for f(x)

g(2x - 8) = (2x - 8)^4

You really don't want to expand this (although it would give you the right answer eventually).

g(2*5 - 8) = (2 * 5 - 8)^4

g(2*5 - 8) = (10 - 8)^4

g(2*5 - 8) = 2^4

Answer 16

Answer:

"Domain of set B: {2, 4,-4, 0}"

Step-by-step explanation:

When it the set A,B,C (and others) are given in this form it means that the coordinate pairs are the domain and range of each set, respectively.

The first coordinate is part of the domain (x) and the second coordinate is part of the range (y).

For example, the domain of A is all the numbers that are the first in each coordinate pair, so domain of A would be 1, -1, and 6.

Likewise, the domain of B would be 2, 4, -4, and 0.

Hence,

Domain of set B: {2, 4,-4, 0}  --  is the correct answer.

Answer:

x= 6

Step-by-step explanation:

You need to set up a proportion

12/8 = 9/x

Then you do Cross Product Property

8*9=72

12*x=12x

12x=72

divide 72 by 12

72/12=6

x=6

Answer:

A

Step-by-step explanation:

The ratios of corresponding sides are equal, that is

[tex]\frac{XZ}{DF}[/tex] = [tex]\frac{XY}{DE}[/tex], that is

[tex]\frac{12}{8}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )

12x = 72 ( divide both sides by 12 )

x = 6

x = DE = 6 → A

Answer:

8 to 53;45

Step-by-step explanation:

This is because 8 is the smallest and 53 is the biggest and the difference of 53-8 = 45

(please give brainliest)

Answer:

3x + 9

Step-by-step explanation:

An equilateral triangle has all sides equal

Perimeter = 3 × (x + 3)

3x + 9

Answer:

x = - 14, x = - 4

Step-by-step explanation:

Given

(x + 9)² = 25 ( take the square root of both sides )

x + 9 = ± [tex]\sqrt{25}[/tex] = ± 5

Subtract 9 from both sides

x = - 9 ± 5, that is

x = - 9 - 5 = - 14 or x = - 9 + 5 = - 4

Answer:

Tom can cut 12 (15 inch pieces) from the two boards.

Step-by-step explanation:

We're first given foot measurements and we're asked to find the answer in inches. That means we must convert 8 feet to inches, which is a 1:12 inches conversion. 8 times 12 will give you 96, so now you will multiply that value by 2 because Tom has 2 8-foot long boards. That will give you 192 inches. Since the question is asking for 'how many 15 inch pieces he can cut from the two boards?', you will need to divide 192 inches by 15 to find the answer. This will give you 12.8 boards. Because you can't have parts of an object, the answer will be 12 whole boards.

Answer:

f(4) =123

Step-by-step explanation:

first your going to put in 4 for every w

then, think of PEMDAS.

after you solve your parenthesis, then exponents Multiply/devide Then, add/subtract.

2(4)^3 -5

2* 64 -5

128 - 5

123 = f(4)

Answer:

x>-2

Step-by-step explanation:

I can't read or understand your choices... But you can only take log of positive numbers....

That is you need x+2 is to be positive.

That is as an inequality you need x+2>0

Solving x+2>0 gives you x>-2

Answer:

12.67 years

Step-by-step explanation:

Follow below steps;

To find out how long it takes for the value of the account to reach $6,730:

Calculate the formula for compound interest: A = P(1 + r/n)^(nt)

Plug in the values: $6,730 = $4,300(1 + 0.036/4)^(4t)

Solve for time(t): approximately t = 10.35 years, which rounded to the nearest year is 10 years

Answer:

7740° / 45

Step-by-step explanation:

The sum of the interior angles is given by this formula: (n - 2) * 180°. So a regular 45-gon would have interior angles that add up to: (45 - 2) * 180°. = 43 * 180°. = 7740°. Now divide that by the 45 angles to find the measure of one interior angle

hope that helped :(

The measure of each exterior angle of a regular 45-gon is calculated using the formula: Exterior Angle = 360° / Number of Sides. Hence, each exterior angle of a 45-gon measures 8°.

In mathematics, the measure of each exterior angle of a regular polygon can be found using the formula: Exterior Angle = 360° / Number of Sides. So, to find the measure of an exterior angle in a 45-sided shape, or 45-gon, you would perform the calculation: 360° / 45 = 8°.

This indicates that each exterior angle of a regular 45-gon measures 8 degrees. This is a key concept to remember when working with regular polygons, as it can be used to determine other characteristics of the shape such as the sum of the exterior angles, which in any polygon is always 360°.

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Answer:  The required simplified answer in standard form is [tex]8y^6-88y^5-6y^3+61y^2+55y.[/tex]

Step-by-step explanation:  We are given to multiply the following polynomials and write the answer is standard form :

[tex]M=(-6y+8y^4-5)(y^2-11y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To multiply the given polynomials, we need to multiply each term of one polynomial to each term of the other polynomial.

From (i), we have

[tex]M\\\\=(-6y+8y^4-5)(y^2-11y)\\\\=y^2(-6y+8y^4-5)-11y(-6y+8y^4-5)\\\\=-6y^3+8y^6-5y^2+66y^2-88y^5+55y\\\\=8y^6-88y^5-6y^3+61y^2+55y.[/tex]

Thus, the required simplified answer in standard form is [tex]8y^6-88y^5-6y^3+61y^2+55y.[/tex]

Answer: 8y^6- 88y^5- 6y^3 +61y^2 +55y

Answer:

Step-by-step explanation:

[tex]n-number\ of\ hours\\\\\text{The equation of the function:}\\\\f(n)=0.25(n-1)+0.50\\\\\text{for n = 8:}\\\\f(8)=0.25(8-1)+0.50=0.25(7)+0.50=1.75+0.50=2.25[/tex]

Answer:

c=25

Step-by-step explanation:

x^2 + 10x+c

To find the value of c, take the coefficient of the x term, divide it by 2, then square it

10/2 =5

Then square it

5^2 =25

c=25

To solve this plug in 9 for b and solve for a like so...

3a + 9 = 54

9 must be combined with 54. To do this you must subtract 9 from both sides. This will cancel out 9 from the left and bring it over to the right

3a + (9 - 9) = 54 - 9

3a + 0 = 45

3a = 45

Now we must isolate the a. To do this you have to divide 3 to both sides. This will make 3 on the left side 1 and bring 3 over to the other side

3a/3 = 45/3

1a = 15

a = 15

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

D

Step-by-step explanation:

Given (x, y) is a point on f(x), then the corresponding point on the inverse g(x) is (y, x)

Hence

(8, 3) → (3, 8)

(4, 1) → (1, 4)

(0, - 1) → (- 1, 0)

(- 4, - 3) → (- 3, - 4)

That is the last set of points represents g(x)

Lainey paid 30 cents (equivalent to $0.30) for each marker in the set.

To find the cost of 1 marker, you can divide the total cost by the number of markers.

Cost of 1 marker = Total cost / Number of markers

In this case, the total cost is $6, and the number of markers is 20.

Cost of 1 marker = $6/20

Simplifying the expression:

Cost of 1 marker=$0.30

Therefore, the cost of 1 marker is $0.30.

Think of the cost as being divided equally among all 20 markers. By dividing the total cost ($6) by the number of markers (20), we find the share of the cost for each marker ($0.30).

Question:

Answer:

(A) 10

Step-by-step explanation:

Let age of Marco's be "x" years

then according to question

Yolanda age will be "2x - 5"

Also in the question it is given that age Yolanda is 15 years.

then, 2x - 5 = 15

Adding 5 both sides of the equation, we will get

        2x = 20

Dividing both sides of the equality by 2, we get

         x = 10

therefore, Age of Marcus will be 10years

Option (A) is the correct option.

To find the midpoint, add the two X values and divide by 2 and add the two Y values and divide by 2.

-1 + 5 = 4/2 = 2

5 +5 = 10 /2 = 5

Midpoint = (2,5)

Answer:

(2,5)

Step-by-step explanation:

The points are on the same y, which is 5, so we only have to find the distance between the x values.

Distance formula = [tex]M = \frac{x_{1} + x_{2} }{2}[/tex]

[tex]M = \frac{-1 + 5}{2}[/tex]

Mid = \frac{4}{2} [tex]

Mid = 2

Answer:

2

4

8

increases

Step-by-step explanation:

The average rate of change between x-values can be calculated by using the formula [tex](f(x2) - f(x1))/(x2 - x1).[/tex]. For x = 1 and x = 2, the rate is 2; for x = 2 and x = 3, the rate is -4; and for x = 3 and x = 4, the rate is 8.

The question asks about the average rate of change between certain points on an x-axis. In mathematics, the average rate of change is calculated by dividing the change in the output by the change in the input. In other words, it reflects how much the function's value (y-coordinate) changes when the input (x-coordinate) moves 1 unit.

To find the average rate of change, use the formula [tex](f(x2) - f(x1))/(x2 - x1).[/tex] In this case:

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Step-by-step explanation:

1.List your assets (what you own), estimate the value of each, and add up the total.

2.List your liabilities (what you owe) and add up the outstanding balances.

3.Subtract your liabilities from your assets to determine your personal net worth.

Answer:

[tex]\displaystyle 3w+9-6r[/tex]

Step-by-step explanation:

Distributive property: A(B+C)=AB+AC

Group like terms.

[tex]\displaystyle-5r-r+3w+7+2[/tex]

Add the numbers from left to right.

[tex]\displaystyle-5r-r=-6r[/tex]

[tex]\displaystyle -6r+3w+7+2[/tex]

Finally, add the numbers from left to right, to find the answer.

[tex]2+7=9[/tex]

[tex]\displaystyle 3w+9-6r[/tex], is the correct answer.

Hope this helps!

Answer:

3w - 6r +9

Step-by-step explanation:

3w+7-5r+2-r​

Combine like terms

3w   -5r-r  +7+2

3w - 6r +9

Answer:ANS.B

Step-by-step explanation:1/3*3/4=3/12=.25 THE BETTER DEAL

3/12-2/10=30/120-24/120=6/120=1/20 ANS.B