The nth term of a sequence is 3n squared.
What is the 15th term

Answer:

4x-2y=-1  multiply by 3

5x-3y=7  multiply by 3

12x+6y=-3

10x-6y=14  add them

so =22x=11

   x=1/2

5(1/2)-3y=7

2.5-3y=7 take 2.5 to the other side

-3y=4.5

y=-3/2  

therefore x=1/2 and y=-3/2

Step-by-step explanation:

Answer:

15/40 seats

Step-by-step explanation:

tamang sagot po yan

#carry on learning

Answer:

5/6

Step-by-step explanation:

Find a common denominator for 1/2 and 1/3.

6

Then find the amount it equals to when 6 is the denominator

1/2 = 3/6

1/3 = 2/6

Now add them

2/6 + 3/6 = 5/6

Answer:

Combine the fractions by finding a common denominator.

Exact Form:

5/6

Decimal Form:

0.8¯3 (bar notation)

Step-by-step explanation:

Hope this helps =)

Answer:

The answer is C .

Step-by-step explanation:

Answer:  (-2, 8)

Explanation:

Plug x = -2 into the second equation. Isolate y.

5x+3y = 14

5(-2)+3y = 14

-10+3y = 14

3y = 14+10

3y = 24

y = 24/3

y = 8

We have x = -2 lead to y = 8.

Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.

Answer:

Step-by-step explanation:

Set inequality and solve:

Correct choice is C

[tex]25x ≥ 350[/tex]

[tex]x ≥ \frac{350}{25}[/tex]

[tex]x ≥ 14[/tex]

Answer is C option

Answer:

M=7.5

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

i) C = πd

C = π × 20yd

C = 20π yards

ii) A = πr²

A = 3.14 × 3²

A =28.26 m²

note that the radius here is 6/2 = 3m.

Answer:

I think its X[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Answer:

The answer is x^4/5 (the second one)

Step-by-step explanation:

Answer:

The cost price is $395.74 or  $446.26

Step-by-step explanation:

When we do 421 times 0.06 (same thing as 6%) we get 25.26

We subtract 25.26 from 421 we get $395.74

If we add 25.26 to 421 we get  $446.26

Explanation:

There are 6 blocks across the width, 3 blocks along the height, and 2 blocks along the depth.

The volume is 6*3*2 = 18*2 = 36 cubic inches. In other words, there are 36 small blocks that make up this bigger 3D solid.

Answer:

if a cube has a volume of 8 it has a side length of 2 so the answer is 2

Considering a linear function, it is found that this activity costs 240 rands.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

In this problem, we suppose that:

Hence, the cost of sending x messages is given by:

y = 5x + 100.

February has 28 days, hence:

y = 5(28) + 100 = 240

This activity costs 240 rands.

More can be learned about linear functions at https://brainly.com/question/24808124

Answer:

Step-by-step explanation:

[tex]4x^{2} + x - 3 \ Quadratic \ polynomial \ [ highest \ exponent \ is \ 2 ][/tex]

[tex]\dfrac{3}{5}v^{3}(3v^{2} -9)=\dfrac{3}{5}v^{3}*3v^{2}-\dfrac{3}{5}v^{3}*9=\dfrac{9}{5}v^{5}-\dfrac{27}{5}v^{3}[/tex]

Highest exponent is 5 and number of terms is 2. So, quintic  binomial

[tex]36m^{6}-9n^{2}[/tex]

Highest exponent is 6 and two terms. So, hexic binomial

» Twice a number is 500 more than six times the number. What is the number?

— — — — — — — — — —

Let the number be x.

Then,

[tex]2x = 6x + 500 \\ 2x - 6x = 500 \\ \: \: \: \: \: \: \: - 4x = 500 \\ \: \: \: \: \: \: \: \: \frac{ \cancel{- 4}x}{ \cancel{- 4}x} = \frac{500}{ - 4} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \underline{ \boxed{ \blue{ - 125}}}[/tex]

Hence, the number is -125.

Using algebraic expression, the number is calculated as: -125.

An algebraic expression involves using numbers and variables to make statements.

Let the unknown number be represented as x. Therefore:

Twice the number is 2x

2x is 500 more than 6x is 2x = 6x + 500

Solve the algebraic equation to find the number (x):

2x = 6x + 500

2x - 6x = 500

-4x = 500

x = -500/4

x = -125

Thus, using algebraic expression, the number is calculated as: -125.

Learn more about algebraic expression on:

https://brainly.com/question/2164351

[tex] \huge \boxed{ \tt x = 83 {}^{\circ} }[/tex]

x + 47 + 50 = 180 (sum of angles of triangle = 180°)

x + 97 = 180°

x = 180° -97

x = 83 °

By using the graph, we will see that k = 1.85

Here we have the exponential function:

f(x) = k*(3)^x

And we want to find the value of k.

To find it, we need to use one point on the graph. the only one easy to read is the one for x = 3, we can see that when x = 3, f(x) = 50.

Then we have:

f(3) = 50 = k*(3)^3 = k*(3*3*3) = 27*k

Solving that for k we get:

50 = 27*k

50/27 = k = 1.85

If you want to learn more about exponential functions, you can read:

https://brainly.com/question/11464095

Answer:

the answer is 16/64...............

Answer:

D. 15

Step-by-step explanation:

I assume you know what pascal's triangle is if this is the work you must complete. If not, I have attached it below.

Now, raising (a+b) to the 6th term would expand to this, based on Pascal's triangle

[tex]\left(a+b\right)^6 = \quad a^6+6a^5b+15a^4b^2+20a^3b^3+15a^2b^4+6ab^5+b^6[/tex]

Remember that terms are separated by addition or subtraction symbols.

The 5th term of this 7 term expansion would be 15a^2b^4. The coeffecient is 15 in this case.

~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any questions! Spread the Love.

Answer:

yes

...................

Answer:

yes.............

Answer:

The top is independent

The bottom is dependent

Step-by-step explanation:

     The top is independent because it does not rely on another variable. It is the "affector" and not dependent on it.

     The bottom is dependent because it does rely on another variable. It is dependent on this other variable because it will be affected by any changes in that other variable.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

The parabola is a horizontal parabola and it faces to the right. The vertex is at (3, -3) (*Double check this because I don't have graph paper*) because the vertex is always the same distance from the directrix and the focus.

Answer:

x = 2 and y = 3

Step-by-step explanation:

given:

using elimination rule:

 2x - 3y = -5

- 2x - y = - 7

................................

-4y = -12

y = 3

Find x:

2x - 3y = -5

2x - 3(3) = -5

2x - 9 = -5

2x = - 5+9

2x = 4

x = 2

Answer:

[tex]y=3\\x=2\\[/tex]

Step-by-step explanation:

[tex](2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3[/tex]

Insert y=3 into any one equation in the system of equations:

[tex]2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2[/tex]

or

[tex]2x+(3)=7\\2x=4\\x=4/2\\x=2[/tex]

Answer:

36°

Step-by-step explanation:

108°+ 108°+ 2x+ 2x =360°

4x +216° = 360°

4x= 360°- 216°

Just X= 144°/4

=36°

2x= 2(36)

= 72°

Answer:

7 1/4

Step-by-step explanation:

12 3/4- 5 1/2

Answer:

x = 3/2 | y = -3

Step-by-step explanation:

Given equations:

Substituting from equation (i) for y:

==> 2x - 6 = -4x + 3

==> 2x + 4x = 6 + 3

==> 6x = 9

dividing both sides by 3:

==> 2x = 3

==> x = 3/2

Substituting 3/2 for x in equation (i):

==> y = 2(3/2) - 6

==> y = 3 - 6

==> y = -3

[tex] - 4x + 3 = 2x - 6 \\ 6x = - 9 \\ 2x = - 3 \\ x = - 1.5[/tex]

Answer:

-1/10, 2/10, and 4/10

Step-by-step explanation:

A rational number is a number that is in the form of p/q, where p and q are integers, and q is not equal to 0.

First, what is the lcm of 5 and 2? the lcm is 10, because that is the lowest number than can be divided separately by 5 and 2 and the results would still be a whole number.

We now need to find 3 rational numbers between -2/10 and 5/10. It's easy now that I've explained it, right?

-1/10, 2/10, and 4/10 are between -1/5 and 1/2 and are integers with the given explanation.

Hope this helps.

Answer:

[tex]x ∈ R,a=1[/tex]

Step-by-step explanation:

i believe this is the answer but i am not 100% sure

Answer: It does not

Step-by-step explanation: