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2 years ago

Which of the following is a trinomial with a constant term?

Mathematics

1 answer:

-BARSIC- [3]2 years ago

6 0

F is the answer
Tri- means 3 raw then the constant is the 3

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What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.

Radda [10]

Answer:

second option

Step-by-step explanation:

Given

$x^{4}$ + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

(u + 1)(u + 5) = 0 ← in factored form

Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± $\sqrt{-1}$ = ± i ( noting that $\sqrt{-1}$ = i ), and

x² = - 5 ( take the square root of both sides )

x = ± $\sqrt{-5}$ = ± $\sqrt{5(-1)}$ = ± $\sqrt{5}$ × $\sqrt{-1}$ = ± i $\sqrt{5}$

Solutions are x = ± i and x = ± i $\sqrt{5}$

3 0

2 years ago

Each face of a six-sided cube is painted a different color. The cube is rolled twice and a coin is flipped. How many different p

Vaselesa [24]

Answer:

Step-by-step explanation:

There are 6 possible outcomes for the first roll, 6 possible outcomes for the second roll, and 2 possible outcomes for the coin flip. Since all of the events are independent, you can simply multiply these together to get a total of 72 outcomes. Hope this helps!

7 0

3 years ago

Read 2 more answers

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

2 years ago

Solve. 5x - 5 = 50 A) x = 8 B) x = 9 C) x = 10 D) x = 11

Angelina_Jolie [31]

The answer would be D) x = 11.

Add 5 to both sides (5x = 50 + 5)

Simplify 50 + 5 to 55 (5x = 55)

Divide both sides by 5 (x = 55/5)

Simplify 55/5 to 11 (x = 11)

4 0

2 years ago

Read 2 more answers

Graft the solution to the inequality on the number line. <br><br><br> m>2.8

Oduvanchick [21]

Answer:

See the graph of the given inequality in the attachment as shown below:

Step-by-step explanation:

Given the inequality: $m > 2.8$