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bazaltina [42]
3 years ago
14

Which value of x makes the equation -5x-(-7-4x) =-2(3x-4 true?

Mathematics
1 answer:
Ludmilka [50]3 years ago
5 0

Answer:

x = 1/5

Step-by-step explanation:

Step 1: Write equation

-5x - (-7 - 4x) = -2(3x - 4)

Step 2: Solve for <em>x</em>

  1. <u>Distribute:</u> -5x + 7 + 4x = -6x + 8
  2. <u>Combine like terms:</u> -x + 7 = -6x + 8
  3. <u>Add 6x to both sides:</u> 5x + 7 = 8
  4. <u>Subtract 7 on both sides:</u> 5x = 1
  5. <u>Divide by 5 on both sides:</u> x = 1/5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

-5(1/5) - (-7 - 4(1/5)) = -2(3(1/5) - 4)

-1 - (-7 - 4/5) = -2(3/5 - 4)

-1 - (-39/5) = -2(-17/5)

-1 + 39/5 = 34/5

34/5 = 34/5

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The profit function for a new product is given by p(x) = -4x^2+28x-40, where x is the number sold in thousands. How many items m
Ivenika [448]
The break even point is when profit is equal to zero, or in this case when p(x)=0

4x^2-28x+40=0

4(x^2-7x+10)=0

4(x^2-2x-5x+10)=0

4(x(x-2)-5(x-2))=0

4(x-5)(x-2)=0

So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
3 0
3 years ago
A rectangle has an area of 717.8m squared. One of the sides is 7.4m in length. What is the perimeter of the rectangle btw it’s n
vlabodo [156]

Answer:

I think it's 208.8m

Step-by-step explanation:

717.8 divided by 7.4 = 97. 97 x 2 + 7.4 x 2 =208.8m

6 0
3 years ago
Write an equation that is perpendicular to the line 8x-4y=12 and pass through the origin
fenix001 [56]
Answers


Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

8x-4y=12
-8x. -8x

-4y=-8x+12
/-4. /-4

Y=2x-3

So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite

So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

Y=-1/2x or y=-1/2x +0

I hope I explain this well!

Please mark as Brainliest
7 0
3 years ago
Let e f (x) = x2 – 2x - 4 What is the average rate of change for the quadratic function from X = -1 tox to x = 42 Enter your ans
sammy [17]

Answer:

The average rate of change of the given function

A(x) =  1

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given function f(x) = x² - 2x -4

And given that x = a = -1 and  x=b = 4

The average rate of change of the given function

A(x) = \frac{f(b)-f(a)}{b-a}

<u><em>Step(ii):-</em></u>

f(x) = x² - 2x -4

f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1

f(4) = 4² -2(4) -4 = 16 -12 = 4

The average rate of change of the given function

A(x) = \frac{f(b)-f(a)}{b-a}

A(x) = \frac{4-(-1)}{4-(-1)} = \frac{5}{5} = 1

<u><em>final answer:-</em></u>

The average rate of change of the given function

A(x) =  1

5 0
3 years ago
Read 2 more answers
Ordered pairs that satisfy y=x^2+1
-BARSIC- [3]
Using an ordered pair is a way of graphing a linear equation on a coordinate plane.
{(-1, 2), (0, 1), (1, 2), (4, 5)}.
5 0
3 years ago
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