Hi Help me with question 6b) pls

Hi Help Me With Question 6b) Pls

Answers

Answer 1

Answer:

k = 9

Step-by-step explanation:

Consider the pattern on the right side , that is

[tex]T_{k}[/tex] = k(k + 2) + 1 = k² + 2k + 1

Equating

k² + 2k + 1 = 100 ( subtract 100 from both sides )

k² + 2k - 99 = 0 ← in standard form

(k + 11)(k - 9) = 0 ← in factored form

Equate each factor to zero and solve for k

k + 11 = 0 ⇒ k = - 11

k - 9 = 0 ⇒ k = 9

But k > 0 , then k = 9


Related Questions

what’s 75 percent of 120

Answers

Answer:

90

Step-by-step explanation:

q

It’s 6.25
Multiply 75 by 100 and divide it by 120z

which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)

Answers

Answer:

sin ( 180* + x ) = - x

Step-by-step explanation:

This is the correct answer

4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).

Answers

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

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

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

what are all the numbers through 10 and 100 that are divisible by 6 and 9

Answers

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?

Answers

100 according to my teacher

PLEASE HELP!! name the property of equality that the statement illustrates:

if x = y , then -2x = -2y

Answers

The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.

How to Identify the Property of Equality?

The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.

This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.

In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.

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Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.

Answers

The value of x in the expression is 18(24/30).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8(3/5) = (3/4)x - 5(1/2)

43/5 = 3x/4 - 11/2

43/5  + 11/2 = 3x/4

(86 + 55)/10 = 3x/4

141/10 = 3x/4

3x = 141 x 4 / 10

x = 564/30

x = 18(24/30)

Thus,

The value of x is 18(24/30).

Learn more about expressions here:

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Find the slope for (3,1)and (4,3)

Answers

y2-y1 / x2-x1

so, 3-1 =2 and 4-3=1
2/1 is 2

Answer:

2

Step-by-step explanation:

slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points

We are given the points (3,1)and (4,3)

Given these points we can define our variables

(x1,y1) = (3,1) so x1 = 3 and y1 = 1

(x2,y2) = (4,3) so x2 = 4 and y2 = 3

Now that we have defined our variable, we plug them into the formula

Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3

* plug in values *

[tex]\frac{3-1}{4-3}[/tex]

subtract 3 and 1 , and 4 and 3

[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]

the slope is 2

Figure ABCD is transformed to obtain figure A′B′C′D′:

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer. (4 points)

Answers

Answer:

Reflected along x axis

Translated 7 units to the right

Step-by-step explanation:

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Hope that's better

A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?

Answers

Answer:

Step-by-step explanation:

14%  increase

PLEASEEEE HELPPPP ASAPPPP

Answers

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )

What is the first step in solving the equation 4b - 7 = 13.

Answers

Answer:

Add  7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]

Step-by-step explanation:

find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?

Answers

=> 6- 4x +6x -8x +6 = 0

=> 12 -6x = 0

=> 6x = 12

=> x = 2

What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.

Answers

I think it might be A I’m not sure though but you can try it :)

Are two similar triangles necessarily congruent? Why?​

Answers

if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle

Answer to this ?……..

Answers

If you filled out the chart fully:

a = 4

b = 7

c = 6

d = 9

e = 17

Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:

7:10

There is a greater chance of picking a boy than a girl where there is three more boys than girls.

[tex]15yx^{2} -34y-16[/tex]

Answers

Answer:

15yx^2-34y-16

Step-by-step explanation:

simply the expresstion: 5+8 (3 + x )

Answers

The answer is going to be 8x+29

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

Alyssa has fifty-quarters and dimes
She has a total of $9.80
How many dimes does she have?
a.)32
b.)30
c.)20
d.)18

Answers

a. 32

hope this helps

If you want 10 points answer my question
Plz

Answers

The mean salary would become $11.50.

Type the correct answer in each box. If necessary, use / for the fraction bar(s). Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =.

Answers

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

12x + 15y = 34 ...................... 1 *1 -6x + 5y = 3 ..................... 2 * 3

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

Learn more on simultaneous equations here: https://brainly.com/question/185757

Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х

Answers

Answer:

f(x) = 3 - x

.......!!!!

I think so this is the. answer.....!!!

What is the value of q

Answers

Answer:

Triangles QST and RST are similar.  Therefore, the following is true:

q       s

--- = ----   This results in 10q=rs.

r      10

Also, since RST is a right triangle, 4^2 + s^2 = q^2.

Since QST is also a right triangle, s^2 + 10^2 = r^2.  

           4      s

Also:  ---- = -----    which leads to s^2 = 40

           s      10

Because of this, 4^2 + s^2 = q^2 becomes 16 + 40 = 56 = q^2

Then q = sqrt(56) = sqrt(4)*sqrt(14) = 2*sqrt(14) (answer)

How to expand Expand 7n-3+1-2n

Answers

Answer:

5n-2

Step-by-step explanation:

collect like terms

-> (7n-2n)+(-3+1)

simplify

=> 5n-2

Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank

Answers

Answer:

340 dimes and 232 quarters

Step-by-step explanation:

Let the number of dimes be x and quarters be y.

Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 cents

We have equations:

x + y = 57210x + 25y = 9200

Multiply the first equation by 10 and subtract from the second one:

10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232

Find the value of x:

x + 232 = 572x = 572 - 232x = 340

If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?

Answers

It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:

10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X

Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Learn more about quantities in https://brainly.com/question/21477139

The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers

Answers

Answer:

The two numbers are:

30 and 18

Step-by-step explanation:

a + b = 48

a - b = 12

From the first eq.

a = 48 - b

Replacing this last value in the second eq.

(48 - b) - b = 12

48 - 2b = 12

48 - 12 = 2b

36 = 2b

36/2 = b

18 = b

from the first eq.

a + 18 = 48

a = 48 - 18

a = 30

Check:

from the second eq.

a - b = 12

30 - 18 = 12  

No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept

Answers

Answer:

heres a graph

Step-by-step explanation:

Answer: there you go

Step-by-step explanation:

Find the greatest common factor of 15c and 8c2.

Answers

the greatest common factor would be c

There are 24 hours in a day. James sleeps 8 hours each night what fraction of the day does James sleep?

Answers

Answer:

1/3 of the day

Step-by-step explanation:

8/24 simplifies to 1/3

8/24 (hours slept by james) = 1/3 (simplified)
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