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3 years ago

Solve for x. Show all your steps/work. (¼)x + 1 = 22x

Mathematics

2 answers:

Vadim26 [7]3 years ago

8 0

22x-1/4x= 1
21.75x=1
x=0.046

Im not sure tho:) but probably its correct

Fiesta28 [93]3 years ago

7 0

Answer is x= 4/87
Step 1: multiply 4 by both sides of the equation which is 22. Which gives you x+4= 88x
Step 2: Move the constant to the right-hand side and change its sign (it was +4 but it’s now -4) then move the variable to the left-hand side and change its sign (which is +88 but is now -88x)
Step 3: collect like terms which is 1-88x that gives you -87x= -4
Step 4: divide both sides by -87
That gives you the answer

1/4x +1= 22
Multiply by 4
X+4 = 88x
Move the terms
X- 88x= -4
Collect like terms
-87x=-4
Divide by -87
Equals 4/87

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KengaRu [80]

Answer:32

Step-by-step explanation: (2+3x)= 98 then solve

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2 years ago

What is the relationship between sin(90 degrees) and sin(-90 degrees)

Volgvan

Answer:

$sin(90\°)=-sin(-90\°)$

Step-by-step explanation:

we know that

$sin(90\°)=1$

$sin(-90\°)=-1$

therefore

$sin(90\°)=-sin(-90\°)$

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3 years ago

The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence

vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0

3 years ago

Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

38% of 1200 Otto middle school students are 6th how many auto students are sixth graders

kramer

Answer:

456 students

Step-by-step explanation:

38% = 0.38

1200 x 0.38 = 456

6 0

2 years ago