Which term of the AP 21, 42, 63, 84, ..... is 210 ?​

Answer:

n=6 , n=-2

Step-by-step explanation:

[tex]n^{2}-4n-12=0[/tex]

Factorise to give:

[tex](n-6)(n+2)[/tex]

Set first one to equal 0:

[tex]n-6=0[/tex]

[tex]n=6[/tex]

Set second one to equal 0:

[tex]n+2=0[/tex]

[tex]n=-2[/tex]

Reason for 2 solutions:

All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.

The solution(s) is the point where the graph crosses the x-axis

The image below shows the graph of the equation:

[tex]n^{2}-4n-12[/tex]

When y=0:

It intercepts the x-axis at 6 and -2 giving why n has 2 solutions

Answer:

with what?

Step-by-step explanation:

??

Answer:

  see attached

Step-by-step explanation:

The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).

The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).

You can plot the points described here and draw rays through them to form the graph. A graph is attached.

__

description

The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).

Its domain is all real numbers. Its range is all y-values greater than -8.

Answer:

true

Step-by-step explanation:

Answer:

24/2

Step-by-step explanation:

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

Answer:

it's a

Step-by-step explanation:

the formula for volume is height×width×length

7×4×3=84

voila!

[tex]\huge\bold{\purple{\bold{⚡133°⚡}}} [/tex]

Step-by-step explanation:

Co interior angles' sum is 180°

Answer:

Its arithmetic because it's being added 3 each time.

Answer:

Arithmetic

Step-by-step explanation:

Arithmetic refers to addition and subtraction. Geometric refers to multiplication and division.

In this instance, the sequence has a common difference of 3 (3 is added as the sequence continues).

Answer:

x = 2 + 5i√2 / 6 and x = 2 - 5i√2 / 6

Step-by-step explanation:

If this isn't right, I'm sorry. Also, you can put x = 2 ± 5i√2 /6 to make it shorter and not have two answers. Hope this helps :)

Answer:

1,133

Step-by-step explanation:

2%=0.02

$22.66÷0.02=$1,133

[tex]\dfrac 15 x - \dfrac 35\\\\\\=\dfrac 15 x- \dfrac 15 \cdot 3\\\\\\=\dfrac 15(x-3)[/tex]

Answer:

If you are writing a seesya let me help you

Step-by-step explanation:

Make sure to hilight key info

Also use grammarly to correct past tense and sentences

Make sure to make sense

Answer:

x =|y| x right = negative x left=+ y up = + y down = -

Answer: 2/3 time 3/7 it would be 6/21

Step-by-step explanation: because you would multiply bot the numerator and denominater.

Answer: mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Please Like!

Answer:

Step-by-step explanation:

12 x 3=36 yx

12x2x3= 72 x*y

Answer: 25x+1

Step-by-step explanation:

We cam make an equation to find the perimeter, [tex]2(6x-6.5)+2(6.5x+7)[/tex].

then we can simplify it to [tex]12x-13+13x+14[/tex], which we can then further simplify to 25x+1

Answer:

[tex]a)6 = \frac{6}{1} = 6 \: \: \: b)15 - 3 = \frac{15}{3} = 5[/tex]

Answer:

20

Step-by-step explanation:

This is the formula for a combination. Substitute the values and evaluate the expression.

[tex]\frac{n!}{r!(n-r)!}\\\\\frac{(6)!}{(3)!(6-3)!}\\\\\frac{(6)!}{(3!)(3!)}\\\\\frac{(6\cdot5\cdot4\cdot3\cdot2\cdot1)}{(3\cdot2\cdot1)(3\cdot2\cdot1)}\\\\\frac{720}{(6)(6)}\\\\\frac{720}{36}\\\\ 20[/tex]

Step-by-step explanation:

Given,

x² - 2x - 3 = 0

x² - (3x - x) - 3 = 0

x² - 3x + x - 3 = 0

x(x - 3) + 1(x - 3) = 0

(x - 3)(x + 1) = 0

x = 3 & -1

Now,

a and b are integers

So

a = 3 & b = -1 or

a = -1 & b = 3

Answer:

a = 3 , b = -1          or            a = -1 , b = 3

Step-by-step explanation:

x² - 2x - 3 = 0

x² - 3x + 1x - 3 = 0

x ( x - 3 ) +1 ( x - 3 ) = 0

( x - 3 ) ( x + 1 ) = 0

So,

x - 3 = 0                   or                x + 1 = 0

x = 0 + 3                                      x = 0 - 1

x = 3                                            x = -1

Therefore,

( x - a) ( x - b )

As a and b are integers

It can be,

a = 3 , b = -1          or            a = -1 , b = 3

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

D.18

Step-by-step explanation:

6-x=-12

-x=-12-6

-x=-18   divide both sides by -1

x=18

Answer:

8420

weeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

no

Step-by-step explanation:

if the y 79 was changed to 49 then yes(in that case y=x^2) but the x 7 y 79 messes the relationship up.

Answer:

A. 8 to 3

Step-by-step explanation:

since its in favor, the amnt of white marbles goes first.

Answer:

h(x) = |x + 4| - 2

Step-by-step explanation:

Translation of functions:

- 4 on the x-axis ⇒ |x + 4|

- 2 on the y-axis ⇒ -2