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Rainbow [258]
3 years ago
5

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus

e each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0
<span>solve the equation ax – c = bx + d for x:

1) Group the x terms together on the left:     ax - bx - c = d

2) Group the constant terms together:          ax - bx = c + d

3) factor out x:                                             x(a - b) = c + d

4) Divide both sides of the equation by (a - b) to obtain a formula for x:
                                                       c+d
</span>           x(a - b) = c + d   =>    x = ---------
                                                       a-b

This shows that the given equation CAN be solved for x, but there is a restriction:  a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).

Where is Victoria's solution?  Please share it if you want to discuss this problem further.  Thank you.

Yuri [45]3 years ago
5 0

Answer:

A , Rewrite the expression on the left using the distributive property.

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|9x-7|=|6x+3| Solve the inequality
dexar [7]

Answer:

x = 4/15 and x= 10/3

Step-by-step explanation:

|9x-7|=|6x+3|

There are two solutions, one positive and one negative.

(9x-7)=6x+3                   - (9x-7)=6x+3

We will take the positive one first

(9x-7)=6x+3

Subtract 6x from each side

(9x-6x-7)=6x-6x+3

3x -7=3

Add 7 to each side

3x-7+7 = 3+7

3x = 10

Divide by 3x/3 = 10/3

x = 10/3


Now we will take the negative solution

- (9x-7)=6x+3

Distribute the negative sign

-9x+7 = 6x+3

Add 9x to each side

-9x+9x+7 = 6x+9x+3

7 = 15x+3

Subtract 3 from each side

7-3 = 15x +3-3

4 = 15x

Divide by 15 on each side

4/15 =15x/15

4/15 =x

8 0
3 years ago
A number is 42,300 when multiplied by 10 Find the product of this and 500?
Simora [160]
2115000

x*10= 42300

x= 4230

x*500

4230*500= 2115000

Hope this helps
4 0
3 years ago
Read 2 more answers
Match the function with its graph.
Oxana [17]

Answer:

The answer is 1D , 2A , 3C , 4B ⇒ answer (c)

Step-by-step explanation:

* Lets talk about the transformation

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

 function g(x) = - f(x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

* Lets explain each function

∵ y = tan(x)

∵ y = -tan(x - π/2)

# (x - π/2) means the graph translated horizontally to

  the right π/2 units

# -tan(x - π/2) means the graph reflected across the x-axis

∴ The graph is (D)

* 1) y = -tan(x - π/2) ⇒ (D)

∵ y = tan(x + π/2)

# (x + π/2) means the graph translated horizontally to

  the left π/2 units

∴ The graph is (A)

* 2) y = -tan(x - π/2) ⇒ (A)

∵ y = -cot(x - π/2)

# (x - π/2) means the graph translated horizontally to

  the right π/2 units

# -cot(x - π/2) means the graph reflected across the x-axis

∴ The graph is (C)

* 3) y = -cot(x - π/2) ⇒ (C)

∵ y = cot(x + π/2)

# (x + π/2) means the graph translated horizontally to

  the left π/2 units

∴ The graph is (B)

* 4) y = -tan(x - π/2) ⇒ (B)

∴ The answer is 1D , 2A , 3C , 4B answer (c)

4 0
3 years ago
When f(n)=-8 what is the value of n?
Lelu [443]

Answer:

20 the answer is 20 because you plug in 4 for n.

8 0
3 years ago
What is the inverse of f(x)=2(x+4)²-5
olchik [2.2K]

I would be <em>2x^{2} +16x+27</em>

3 0
3 years ago
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