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shepuryov [24]
2 years ago
6

Make w the subject of the formula y-aw=2w-1

Mathematics
1 answer:
kipiarov [429]2 years ago
6 0
Answer: <span>w = [ y + 1] / [a + 2]

Solution step by step:
</span>
1) given <span>formula: y-aw=2w-1

2) transpose aw and - 1

2w + aw = y + 1

3) common factor w:

w (a + 2) = y + 1

4) divide both sides by (a + 2):

w = [ y + 1] / [a + 2]
</span>
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Which ordered pairs are solutions to the inequality 2y−x≤−6 ?
Vinil7 [7]
Given inequality: 2y−x ≤ −6

Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied

Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied

Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.

Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.

Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.

Solutions are: (1, -4), (0, -3) , (2, -2)

4 0
2 years ago
Which expression is equivalent to 144 Superscript three-halves? 216 1,728 RootIndex 3 StartRoot 12 EndRoot RootIndex 3 StartRoot
Afina-wow [57]

Question:

Which expression is equivalent to 144^(3/2)

Answer:

1728

Step-by-step explanation:

The options are not well presented. However, this is the solution to the question.

Given:

144^(3/2)

Required:

Find Equivalent.

We start my making use of the following law of logarithm.

A^(m/n) = (A^m)^1/n

So,

144^(3/2) = (144³)^½

Another law of indices is that

A^½ = √A

So,

144^(3/2) = (144³)^½ = √(144³)

144³ can be expanded as 144 * 144 * 144.

This gives

144^(3/2) = √(144 * 144 * 144)

The square root can then be splitted to

144^(3/2) = √144 * √144 * √144

144^(3/2) = 12 * 12 * 12

144^(3/2) = 1728.

Hence, the equivalent of 144^(3/2) is 1728

8 0
1 year ago
Read 2 more answers
Serenity invested $16,000 in an account paying an interest rate of 4.5% compounded annually. Assuming no deposits or withdrawals
7nadin3 [17]

The final balance is $23,970.67

Step-by-step explanation:

5 0
2 years ago
Santa Claus is assigning elves to work a shift making toy trucks. Apprentice elves draw a wage of forty candy canes per shift, b
xxMikexx [17]

Answer:

link:brainly.com/question/14962828

Step-by-step explanation:

6 0
2 years ago
Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis?
Alexandra [31]

Answer:

On a coordinate plane, an exponential function increases in

quadrant 3 into quadrant 4 and approaches y = 0. It goes through

(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25) ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x)=\frac{1}{4}(8)^{x} is reflected across the

  y-axis and then across the x- axis

- Lets revise the reflection of a function across the axes

- If the function f(x) reflected across the x-axis, then the new  function

 h(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new  function

 g(x) = f(-x)

∵ f(x)=\frac{1}{4}(8)^{x} is reflected across the y-axis

- Change the sign of x

∴ Its image is g(x) where g(x)=\frac{1}{4}(8)^{-x}

∵ g(x)=\frac{1}{4}(8)^{-x} is reflected across the x-axis

- Change the sign of y

∴ Its image is h(x) where h(x)=-\frac{1}{4}(8)^{-x}

∴ h(x) is the image of f(x) after reflected across the y-axis then

  reflected across the x-axis

* Look to the attached graph for more understand

- f(x) represented by red

- g(x) represented by blue

- h(x) represented by green

* From the graph

- The green graph is in the 3rd and 4th quadrants

- Approaches y = 0 (x-axis)

- point (-1 , -2) lies on it

- It cross the y-axis at point (0 , -0.25)

∴ The answer is the last one

On a coordinate plane, an exponential function increases in

quadrant 3 into quadrant 4 and approaches y = 0. It goes through

(negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)

8 0
2 years ago
Read 2 more answers
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