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BabaBlast [244]
3 years ago
14

Rearrange to make x the subject of 4(x-3)/a=y

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

I hope this helps.

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lesya692 [45]

Answer:

12 units

Step-by-step explanation:

there are 3 sqaures counted from (0,0) to (3,0)

so do 3 + 3 + 3+ 3 and get 12 units

if brainiest is earned its greatly Appreciated

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3 years ago
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Find the missing side length in the following triangle.
Ilya [14]
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3 years ago
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
leonid [27]

Answer:

Step-by-step explanation:

The value of the function f(x) at x=a can be determined by substituting a instead of x into the function expression.

1. When x=-1, then

f(-1)=2\cdot (-1)^3-3\cdot (-1)^2+7=-2-3+7=2.

2. When x=1, then

f(1)=2\cdot 1^3-3\cdot 1^2+7=2-3+7=6.

3. When x=2, then

f(-1)=2\cdot 2^3-3\cdot 2^2+7=16-12+7=11.

4 0
3 years ago
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(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7
zysi [14]

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots.  From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40.  Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

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x  = ------------------ = ------------------

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Thus, the roots are x = ------------------

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4 0
3 years ago
Will mark as brainliest! 40 points! Thanks!
n200080 [17]

When given a system of equations, the "solutions" are defined where two equations intersect, or meet.


A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.

B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.

The first is (3, -1), which has already been established with p(x).

The second is (0, 5), and this is where it intersects with f(x).

C. The solution to f(x) = g(x) is 0, as this is the only x value where both equations are equal.


Hope my answer helped!

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