Find the value of x.

Find all the zeroes of the equation(with simple steps).

uysha [10]

Answer-

The zeros are, $5,\ -5,\ 4i,\ -4i$

Solution-

$\Rightarrow -3x^4+27x^2+1200=0$

$\Rightarrow -3(x^2)^2+27(x^2)+1200=0$

Here,

a = -3, b = 27, c = 1200

So,

$x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}$

$=\dfrac{-27\pm \sqrt{729+14400}}{-6}$

$=\dfrac{-27\pm 123}{-6}$

$=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}$

$=\dfrac{96}{-6},\ \dfrac{-150}{-6}$

$=-16,\ 25$

So,

$\Rightarrow x^2=25,\ -16$

$\Rightarrow x=\sqrt{25},\ \sqrt{-16}$

$\Rightarrow x=5,\ -5,\ 4i,\ -4i$

8 0

3 years ago

Write equation of a line perpendicular to the y-axis that passes through the point (-4,-8)

babymother [125]

Answer:

y = -8

Step-by-step explanation:

Since the line is perpendicular to the y-axis, it will be a horizontal line that runs through (-4,-8).

When a line is perpendicular to the y-axis, the x-coordinate doesn't matter because the line will be horizontal, meaning it will be the same y value regardless of the x value. In this case, the y value is −8 throughout the line.

Please mark as Brainliest ;)

5 0

2 years ago

Read 2 more answers

Find the indicated nth term show your solution 8,15,22,29,...,a18

Damm [24]

Answer:

127

Step-by-step explanation:

Hey there! :)

Let us find the 18th term — first, there are two main types of sequences.

Arithmetic Sequence — a sequence that has same difference or common difference.
Geometric Sequence — a sequence that has same ratio.

But if you notice, it cannot be geometric sequence because if we do ratio test, there are no common ratios.

Hence, it can only be arithmetic sequence.

Common Difference

$\displaystyle \large{a_{n + 1} - a_n = d}$

d is our common difference.

a_n+1 is the next term of a_n.

Let's check the common difference!

15-8 = 7

22-15 = 7

29-22 = 7

Therefore, 7 is our common difference.

General Terms of Arithmetic Sequence

$\displaystyle \large{a_n = a_1 + (n - 1)d}$

We know that a1 is the first term of sequence which is 8.

Our common difference is 7.

We want to find the 18th term — therefore,

$\displaystyle \large{a_{18} = 8 + (18 - 1)7} \\ \displaystyle \large{a_{18} = 8 + (17)7} \\ \displaystyle \large{a_{18} = 8 + 119} \\ \displaystyle \large{a_{18} = 127}$

Therefore, the 18th term is 127.

4 0

3 years ago

An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the expe

victus00 [196]

Answer:

1) $16\frac{2}{3}$ % or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

$\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100$

$\Rightarrow \dfrac{2}{10}\times 100 = 20\%$

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

$\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%$

7 0

2 years ago

How do u find the domain and range of this graph

Elena L [17]

Domain is possible x values
Range is possible y values
They'll be in interval form

Domain
You find the point furthest to to the left and the x-coordinate is your minimum. Then find maximum (furthest to the right)

Do the same for range except it is up and down

3 0

3 years ago