The fifth term of a non-linear sequence is 9.
The term-to-term rule is divide by 3'.
Work out the second term of the sequence.​

Answer:

Jody needs to lose the third round by 6 points to win the game.

Step-by-step explanation:

The rule of the game is the person who scores closest to zero points after three rounds win.

Robyn scored 5 points in the first round, lost 8 points in the second round, and scored 4 points in the third round.

So, total points for Robyn = 5-8+4=1

So, the magnitude of the closeness of Robyn's score from zero

=|1-0|=1

Jody scored 10 points in the first round and lost 4 points in the second round.

Let Jody score x point in the third round.

Total points for Jody= 10-4+x=6+x

So, the magnitude of the closeness of Jody's score from zero

=|6+x-0|=|6+x|

The condition for Jody to win the game is his points must be closer to zero than Robyn's points, i.e

|6+x|<1

Case 1: If  [tex]x\geq -6[/tex],

6+x<1

[tex]\Rightarrow x<-5[/tex], which is not possible for this case.

Case 2: If  [tex]x\leq -6[/tex],

-(6+x)<1

[tex]\Rightarrow x+6>1[/tex]

[tex]\Rightarrow x>-5[/tex]

For this case [tex]x= -6[/tex] is the only possibility.

So, Jody must score -6 in the third round to win the game. i.e Jody needs to lose the third round by 6 points.

Answer:

a scalar between 0 and 1

Step-by-step explanation:

i just took the test on EdG. :)

To determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

To answer the question, we need to know what scalars and vectors are

These are variables that have only magnitude.

These are variables that have both magnitude and direction.

Now since the first ramp is 50 feet long and has a 6° incline and the second ramp is 30 feet long and runs parallel to the first ramp. We see that the magnitude of the first ramp is greater than that of the second ramp.

So, to obtain a vector representing the second ramp from that of the first ramp, we multiply by a scalar which will be between 0 and 1, since, the magnitude of the first ramp vector is greater than the magnitude second ramp vector.

So, to determine the vector representing the shorter ramp, we must multiply the vector representing the first ramp by a scalar between 0 and 1.

Learn more about vectors here:

https://brainly.com/question/25705666

#SPJ2

Answer:

ruler(×,y)=(20,20)

Step-by-step explanation:

sorry if its wrong

anyways are you using a mac?

Answer:-6.6, 4.45, 5.8, 6 3/4

Step-by-step explanation:

Answer:

I think the answer is A. since the exponents inside the equation are negative, and the outside exponents are positive

Step-by-step explanation:

THE ANSWERS (B.) i took the test surprisingly got it right

Answer:

it is b

Step-by-step explanation:

hope it helps

Answer:

The value of h(x) = f(x)g(x) is 24x² + 16x – 14.

Step-by-step explanation:

Answer:

C. h(x) = 24x2 + 16x – 14

Step-by-step explanation:

Just answered it on Edge Unit Test. It is correct.

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

Answer:

(B) 31.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

Answer:

C

Step-by-step explanation:

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Answer:

She worked 12 hours as a babysitter and hours 6 as a hostess

Step-by-step explanation:

She woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and since she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105  we know that 105+60 =165. Forgive me if I'm wrong but I hope this helps! [creds: cosmicredstone1]

Answer: The answer is D. 17.9

Step-by-step explanation: Use the equation [tex]c = \sqrt{a^2 +b^2}[/tex] where c represents the triangles hypotenuse and a and b represent the legs of the triangle.

I hope this helps have a great day!

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first you should remember that....

[tex]a^{2} +b^{2} =c^{2}[/tex]

then you should plug in...

[tex]8^{2}+16^{2}[/tex]

that should equal...

[tex]c^{2}=320[/tex]

Then you should solve the equation now by doing the inverse of the square which is the square root of both sides...

[tex]\sqrt{c^{2} } =\sqrt{320}[/tex]

[tex]c=17.88854382...[/tex]

Then you have to round it to the nearest tenths, which'll give you...

[tex]17.9[/tex]

choice D

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

Answer:

The answer is "150 seconds".

Step-by-step explanation:

[tex]\to distance = 300 \ meter\\\\\to speed = 2 \ \frac{m}{s} \\\\\ formula: \\\\ \bold{speed = \frac{distance}{time}}\\\\[/tex]

[tex]time= \frac{distance}{speed}\\\\[/tex]

        [tex]=\frac{300}{2}\\\\=150 \ seconds[/tex]

Answer:

see below

Step-by-step explanation:

shape LNMP is :

See attachment for math work and answer.

a) The expression will be zero when x = -4 or 8

b) The trinomial equivalent of the expression is x²  - 4x  -  32

c) The trinomial equals to zero when x = 8

The given expression is (x  - 8)(x  + 4)

a) For what value of x will the expression be equal to zero

(x  - 8)(x  + 4)  =  0

This can  be split into:

x  -  8   =   0

That is,  x  = 8

x  +  4  =  0

That is,  x = -4

The expression (x  - 8)(x  + 4) equals to zero when x = -4 or x = 8

b) Write this product as an equivalent trinomial.

A trinomial is a polynomial expression with three terms

Expand (x - 8)(x + 4)

x² + 4x  - 8x - 32

x²  - 4x  -  32

c) Show that this trinomial is also equal to zero at the larger value of x from part (a)

The larger value of x from part (a) is 8

Substitute x = 8 into x²  - 4x  -  32

8² - 4(8)  -  32

=  64  -  32 - 32

=  0

Learn more here: https://brainly.com/question/18718165

Answer:

Step-by-step explanation:1

1/2 years which is 1 year and 5 months.

Explanation:

The formula for simple interest is

You can either substitute the given values first and the solve for

T, or you can transpose the formula to have

T as the subject.

T=100xSIPR

T=100 x 637.50

T=100×637.502500×17

T=1.5

As time is always in years, this means it was for

112 years which is 1 year and 5

months

Answer:

below if you cant read it, it takes 80 quarters

Step-by-step explanation:

Answer:

9^2/9^7 = 9^-5

Step-by-step explanation:

Answer:

not a function

Step-by-step explanation:

you can not have one-to-many

there is two 3 in the X column  

Answer:

1) B - 5/4

2) A. The cost of delivery is $120

3) C 2

Step-by-step explanation:

1) The given parameters are;

The demarcations on the x-axis = -10 to 10

The demarcations on the y-axis = -10 to 10

The coordinates of two points on the graph are (0. 7), and (4, 2)

The slope, m, of a graph is given by the following equation;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that (x₁, y₁) = (0. 7) and (x₂, y₂) = (4, 2), we have;

[tex]Slope, \, m =\dfrac{2-7}{4-0} = -\dfrac{5}{4}[/tex]

The slope, m = -5/4

Taking B. as = -5/4

2. The given information are;

The nature of the cost of delivery of crushed stone = Cost of delivery, A

The function, f, for the cost of crushed stone of mass, x is the cost C, f(x) = C = m × x + A

Whereby the the graph of the total cost of the crushed stone is a straight line graph, we have;

C = m × x + A

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = m × 0 + A

C[tex]_{(y-intercept)}[/tex]  = A = Cost of delivery

The points on the line are;

(0, 120) and (400, 134), therefore, the slope, m, is given as follows;

[tex]Slope, \, m =\dfrac{134-120}{400-0} = \dfrac{14}{400} = 0.035[/tex]

We have;

(C - 134) = 0.035×(x - 400)

C = 0.035·x - 14 + 134 = 0.035·x + 120

C = 0.035·x + 120

At the y-intercept, x = 0, we have;

C[tex]_{(y-intercept)}[/tex] = 0.035 × 0 + 120

C[tex]_{(y-intercept)}[/tex]  = 120 = Cost of delivery

Therefore, the cost at the y-intercept = The cost of delivery = $120

3. The coordinates of points on the graph are;

(0, 1) and (2, 0)

The slope, m = (0 - 1)/(2 - 0) = -1/2

The equation of the line in point slope form is given as follows;

(y - 0) = -1/2 × (x - 2)

y = -x/2 + 1

The x-intercept occurs at the point y = 0, which is presented as follows;

0 = -x/2 + 1

-x/2 = -1

x = -1 × (-2) = 2

x = 2

Therefore, the y-intercept occurs at x = 2.

The correct option is

C 2

Answer:

parallel

Step-by-step explanation:

if you convert the second equation it will be y=-3x+2/3, meaning they have the same slope making them parallel

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!