Find the nth term of the sequences -3, 0, 5, 12, 21,...

Answer:

x= 5 /2 , − 4

Step-by-step explanation:

Factor and set each factor equal to zero.

Answer: x=-4, x=5/2

Step-by-step explanation:

To factor the expression, you want to break up the expression into 2 parts.

2x²+3x-20

(2x²-5x)+(8x-20)       [factor each part]

x(2x-5)+4(2x-5)         [take out x+4]

(x+4)(2x-5)                 [set each factor equal to 0]

x=-4

x=5/2

Now, we know that x=-4 and x=5/2.

Hey there!

[tex]Answer:\boxed{10x^2+8x+8}[/tex]

[tex]Explanation:[/tex]

[tex](2x^2+5x+6)+(8x^2+3x+2)[/tex]

Let's start off with combining like terms.

[tex]2x^2+5x+6+8x^2+3x+2\\(2x^2+8x^2)+(5x+3x)+(6+2)\\10x^2+8x+8[/tex]

[tex]\boxed{10x^2+8x+8}\text{ is your answer.}[/tex]

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Step-by-step explanation:

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

× All by x(x-2) both sides of equation

(x-2)-x = 3x(x-2)

x-2-x = 3x² - 6x

-2 = 3x² - 6x

0 = 3x² - 6x +2

3x² - 6x + 2 = 0

and use the formula

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

Answer:

ummmm

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Imagine the numbers on a number line. A "unit" is also a number. 7 units to the left side of zero is -7.

Answer:

3 a^2 + 6 a + 2 b^2

Step-by-step explanation:

Answer:

  0

Step-by-step explanation:

The y-values are the same, so the line is ...

  y = -9

The slope of a horizontal line is 0.

Answer: 67.5

Step-by-step explanation: Step by step: Just subtract 450 and 382.50 and you get 67.5

Answer:

$1.02

Step-by-step explanation:

Answer:

1.02

Step-by-step explanation:

12.99 plus 5.99 equals 18.98 and if you subtract 20.00 minus 18.98 you get 1.02:)

Answer:

105

Step-by-step explanation:

Answer:

A

B

E

Step-by-step explanation:

Edg 2020

The trigonometric expressions equal to - 1/2 is cos(120°).

For every point P (a, b) on the unit circle, – 1 ≤ a ≤ 1 and – 1 ≤ b ≤ 1, we have – 1 ≤ cos x ≤ 1 and –1 ≤ sin x ≤ 1 for all x. Also, we can define the values of a and b in different quadrants as:

First quadrant: 0 < x < π/2 ⇒ a and b are positive

Second quadrant: π/2 < x < π ⇒ a is negative and b is positive

Third quadrant: π < x < 3π/2 ⇒ a and b are negative

Fourth quadrant: 3π/2 < x < 2π ⇒ a is positive and b is negative.

We know that,

cos(180° - θ) = -cosθ

According to question,

cos(120°)

= cos(180° - 60°)

It comes in 2nd quadrant where cos is negative.

= -cos60°

= - 1/2

Hence the trigonometric expressions equal to - 1/2 is cos(120°).

To learn more on trigonometric expressions line click :

https://brainly.com/question/6904750

#SPJ2

Answer:

5x^3+6x^2+x-7

Step-by-step explanation:

f(x) = 4x^3 - 2x and g(x) = x^3 + 6x^2 + 3x - 7,

f(x) + g(x)= 4x^3 - 2x+ x^3 + 6x^2 + 3x - 7

               4x^3 + x^3 + 6x^2 + 3x- 2x - 7

Combine like terms

5x^3+6x^2+x-7

Answer:

7.07

Step-by-step explanation:

If you substitute in 0 for x:

2(0)^2 + 5sqrt(2)

You'd end up with 5 root 2, which is 7.07

Answer:

-3 is a negative number 1-3 is either an equation or a number set from 1,2, and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

967.6128 times everything

Answer:

0

Step-by-step explanation:

0 x 0 x 0 = 0

Answer:c

Step-by-step explanation:

Answer: c : ZXY=DCB

Step-by-step explanation: i took the quiz

Answer:

[tex]x = \frac{5}{4}[/tex]

Step-by-step explanation:

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

Here cross - multiplying 3 & 2 gives :-

[tex]2(2x-1) = 3[/tex]

Solving this further gives :-

[tex]2(2x-1) = 3\\=> 4x-2 = 3\\=>4x = 3+2\\=> 4x=5\\=> x = \frac{5}{4}[/tex]

Answer:

1/3

Step-by-step explanation:

I have already put a answer and I agree with the other answer but, europe2433 DO NOT DELETE THIS this correct and if you deleted it will be saying I am correct and you just want me to not succed, thank you and have a wonderful day.

Answer:

it would take 10 minutes if they worked together

Step-by-step explanation:

Answer:

A) Hypothesis: IF the new drug are given to cancer patients, THEN they will recover.

B) The experiment is testing the effect of the new drug on the recovery of cancer patients

C) The control group can be the group of patients that does not receive the new drug

D) The experimental group are the patients on which the new drug were tested on.

E) The independent variable is the NEW DRUG

F) The dependent variable is the RECOVERY OF THE CANCER PATIENTS.

Step-by-step explanation:

1) In an experiment, the hypothesis is a testable explanation given to provide a possible answer to an observed problem. In this case, a hypothesis can be: IF the new drug are given to cancer patients, THEN they will recover.

2) The experiment is conducted in order to test if the hypothesis will be ACCEPTED OR REJECTED. In this case, the experiment being conducted is to test the effect of the new drug on the recovery of cancer patients.

3) The control group in an experiment is the group that does not receive the experimental treatment, which is the new drug in this case. Hence, the control group will be the group of patients that does not receive the new drug.

4) In contrast to the control group, the experimental group is the group that receives the experimental treatment (new drug). In this case, the experimental group are the patients on which the new drug were tested on.

5) The independent variable is the variable that the experimenter manipulates or changes in the experiment. In this case, the independent variable is the NEW DRUG.

6) The dependent variable is the variable that the experimenter measures or the variable that responds to the changes made to the independent variable. In this case, the dependent variable is the RECOVERY OF THE CANCER PATIENTS.

Answer:

3x = 42

Step-by-step explanation:

8=112/x

Multiply each side by x

8x = 112

Divide each side by 8

x = 112/8

x =14

Multiply each side by 3

3x = 14*3

3x = 42

Answer:

-11

Step-by-step explanation:

Find the distance from point A to point B.

|-14 - 10| = |-24| = 24

Now find 1/8 of the distance from A to B.

1/8 * 24 = 24/8 = 3

Add 3 to the coordinate of point A.

-14 + 3 = -11

Answer: -11

Answer:

the point that lies at 1/8 from A = -11

Step-by-step explanation:

       1/8      

        v

A --------------------|---------------B

-14                      0                10

14 + 10 = 24

1/8 x 24 = 3

distance from point A = 3

therefore,

the point that lies at 1/8 from A = -11

Answer:

A

Step-by-step explanation:

In each binomial, just flip the sign before the constant, and that number is a zero.

So for example if you have (x+1), a zero would be -1, if you have (x-8), a zero would be 8, etc.

The zeros of a function are the values of x, when the function equals 0.

The function that has zeros of -8, 1 and 3 is: (a) [tex]\mathbf{ y = (x - 3)(x + 8)(x - 1)}[/tex]

The zeros are given as:

[tex]\mathbf{Zeros = -8, 1, 3}[/tex]

Rewrite as:

[tex]\mathbf{x = -8, 1, 3}[/tex]

Equate to 0

[tex]\mathbf{x +8 = 0,\ x - 1 = 0,\ x - 3 = 0}[/tex]

Multiply the equations

[tex]\mathbf{(x +8) \times (x - 1) \times (x - 3) = 0\times 0 \times 0}[/tex]

[tex]\mathbf{(x +8) \times (x - 1) \times (x - 3) = 0}[/tex]

Express as a function

[tex]\mathbf{y = n(x +8) \times (x - 1) \times (x - 3) }[/tex]

Where:

[tex]\mathbf{n \ne 0}[/tex]

The above equation represents functions that have zeros of  -8, 1, and 3

By comparing the options, we have:

[tex]\mathbf{ y = (x - 3)(x + 8)(x - 1)}[/tex] is [tex]\mathbf{y = n(x +8) \times (x - 1) \times (x - 3) }[/tex], where n = 1

Hence, the function that has zeros of -8, 1 and 3 is:

(a) [tex]\mathbf{ y = (x - 3)(x + 8)(x - 1)}[/tex]

Read more about zeros of functions at:

https://brainly.com/question/22101211

Answer:

Step-by-step explanation:

M = -12

Answer:

visual wise: you mirror it

Step-by-step explanation:

Answer:

[tex]a = - \frac{1}{9} [/tex]

Step-by-step explanation:

[tex]5a - 2 = 23a[/tex]

Collect like terms and simplify

[tex] - 2 = 23a - 5a \\ - 2 = 18a[/tex]

Divide both sides of the equation by 18 and simplify

[tex] \frac{ - 2}{18} = \frac{18a}{18} \\ - \frac{1}{9} = a[/tex]

Answer:

answer. -9

Step-by-step explanation:

5a-2=23a

5a-23a=2

-18a=2

a=-18/2

a=-9

Answer:

$183

Step-by-step explanation:

[tex]619 - (270 + 166) = x[/tex]

[tex]x = 183[/tex]