Work out -4x-3+2x-6 can I have help please ?

Answers

Answer 1

Answer: Let's reorder the equation. -4x+2x-3-6. Now we can reduce like terms. -4x+2x= -2x and -3-6= -9. Put the two back together and it is simplified to -2x-9.

Answer 2

Answer: -4x-3+2x-6-4x+2x-6-3-2x-9I hope that is good!

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Simplify the expressions (x-2) (3x-4)

Answers

This expression can be simplified using the FOIL method of multiplication (first, outer, inner, last).

First: x · 3x = 3x²
Outer: x · -4 = -4x
Inner: -2 · 3x = -6x
Last: -2 · -4 = 8

Combine all these terms, and it leaves you with your final answer:
3x² - 10x + 8

What is the sum of the first five terms of a geometric series with a1 = 10 and r = 1/5? Express your answer as an improper fraction in lowest terms without using spaces.

Answers

Using the formula for the sum,
  Sn = a₀×(rⁿ -1)/(r -1)
you have
  S₅ = 10×((1/5)⁵ -1)/(1/5 -1)
  = 10×(-3124/3125)/(-4/5)
  = 10×781/625

  S₅ = 1562/125

_____
Or, you can add up the terms
  10 + 2 + 2/5 + 2/25 + 2/125 = (1250 +250 +50 +10 +2)/125
  = 1562/125

Find all solutions to the equation.

sin x = sqrt(3)/2

Answers

Answer:

$x=(\pi)/(3) and x=(2\pi)/(3)$

Step-by-step explanation:

We are given that $sin x=(\sqrt3)/(2)$

We have to find all solutions of the given equation

We know that $sin (\pi)/(3) =sin60^(\circ)=(\sqrt3)/(2)$

sin x is positive then the value of sin x will lie in I quadrant and II quadrant.The value of sin x is negative in III and IV quadrant .

We are given that sin x is positive then the solution will lie in I and II quadrant only.Therefore, the solution of sin x will not lie in III and IV quadrant .

$sin x =sin (\pi)/(3)$ ...(I equation )and $sin x =sin(\pi-(\pi)/(3))$ ...(II equation)

In II quadrant $\theta$ change into $(\pi-\theta )$

Cancel sin on both side of equation I

Then, we get

$x=(\pi)/(3)$

$sin x =sin ((3\pi-\pi)/(3))$

$sin x =sin (2\pi)/(3)$ ...(II equation )

Cancel sin on both side of equation II

Then we get

$x=(2\pi)/(3)$

Hence, the solutions of equation are

$x=(\pi)/(3) and x=(2\pi)/(3)$

The solutions of the equation are:

x = 60 degrees

x = 120 degrees

x = 420 degrees

x = 480 degrees, and so on.

We have,

The solutions to the equation sin(x) = √3/2 are any angles where the sine of the angle is equal to √3/2.

So,

sin 60 = √3/2

sin 120 = sin (π - 60) = sin 60 = √3/2

In trigonometry 180 is written as π.

Since (π - 60) is in the secondquadrant sin 60 is positive.

sin 420 = sin (360 + 60) = sin 60 = √3/2

In trigonometry 360 is written as 2π.

Since (2π + 60) is in the Firstquadrant sin 60 is positive.

Similarly,

sin 480 = sin (2π + 120) = sin 120 = sin (π - 60) = sin 60 = √3/2

Thus,

The solutions of the equation are:

x = 60 degrees

x = 120 degrees

x = 420 degrees

x = 480 degrees, and so on.

Learn more about solutionsofequations here:

brainly.com/question/545403

#SPJ6

The diameter of the base of the cone measures 8 units.The height measures 6 units.
What is the volume of the cone?
A)240 cubic units
B)321 cubic units
C)48X cubic units
D)647 cubic units

Answers

Answer: $32\pi$ cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

$V_(cone)=(1)/(3)\pi r^2h$

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

$r=(8units)/(2)\n\nr=4units$

Since you already know that height and the radius, you can substitute them into the formula. Then, the volume of this cone is:

$V_(cone)=(1)/(3)\pi (4units)^2(6units)$

$V_(cone)=32\pi \ units^3$

Answer:

b. 32

Step-by-step explanation:

e2020 says so

PLEASE HELP
what is there value of y?
what is the value of x?

Answers

Answer:

x=14

y=30

Step-by-step explanation:

5x+25=3x+53

5x=3x+28

2x=28

x=14

2y+35=95

2y=60

y=30

(I assumed all of the angles are equal, correct me if I'm wrong.)

Answer:x=14

Step-by-step explanation:

Let's first understand what we need to do. We need to solve for two variables, x and y. We do these by setting two systems of equations equal to each other. This is easily done for x, but for y the other equation is missing. Keep this in mind for later.

So, we will first start off by solving for x. We do this by using inverse operations.

5x+25=3x+53 We will subtract

5x=3x+28

2x=28 Divide

x=14

You can plug 14 into both the xs and they will be similar, and both will have the similar results once you solve for y and plug it into the equation along with x.

We know that the 5x+25 on the left is adjacent to 2y+35, and so is the second x. Adjacent angles add up to 180 total, and so to solve for y we need to plug 12 in the first x.

5(14)+25=95

180-95=85

85 is the value of 2y+35

We will solve for y just like any other alegrbaic problem

85=2y+35

50=2y

y=25

We know know that y is 25 and x is 14

Plug both values into 2 adjacent angles and they will add up to 180.

Write 5.1 x 10^-3 as an ordinary number.