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PolarNik [594]
3 years ago
6

Work out the percentage change when a price of £10 is decreased to £8

Mathematics
2 answers:
givi [52]3 years ago
5 0

Answer:

20%

Step-by-step explanation:

Calculate percentage change as follows

percent change = \frac{decrease}{original} × 100%

decrease = £10 - £8 = £2

percent change = \frac{2}{10} × 100% = \frac{2(100)}{10} = 20%


soldier1979 [14.2K]3 years ago
3 0

Answer:answer is 20%

10-8 =2

2÷10×100

=20℅



Step-by-step explanation:


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what is required of a proportional relationship that is not required of a general linear relationship
gtnhenbr [62]
<span>Pertains to y-intercept is then 0.</span>

It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

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Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)
NikAS [45]

Answer:

\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}

\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}

Step-by-step explanation:

In order to find the equations that are parallel/perpendicular to the line y = \frac{7}{2}x - 4, we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.

  • A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance -2 and \frac{1}{2} - multiplied, they equal -1.)
  • B) If a line is parallel to another, they will have the exact same slope.

<h2>Perpendicular:</h2>

We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.

Since the slope of our base line is \frac{7}{2}, we can find the reciprocal, then the opposite of that.

  • Reciprocal of \frac{7}{2} = \frac{2}{7}
  • Opposite of \frac{2}{7} = -\frac{2}{7}

So the slope of this line will be -\frac{2}{7}, making our equation y = -\frac{2}{7}x+ b

However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.

  • 2 = -\frac{2}{7} \cdot 4 + b
  • 2 = -\frac{8}{7} + b
  • b = 2+\frac{8}{7}
  • b = 2 \frac{8}{7}
  • b=\frac{22}{7}

Now we know the y-intercept of this equation is \frac{22}{7}. We can now finish off our equation of the line by substituting that in to what we already have,  y = -\frac{2}{7}x+ b.

y = -\frac{2}{7}x+ \frac{22}{7}

<h2>Parallel:</h2>

As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is \frac{7}{2}, the slope for this one will also be \frac{7}{2}.

So we now know the equation looks something like y = \frac{7}{2}x + b.

In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.

  • 2 = \frac{7}{2} \cdot 4 + b
  • 2 = \frac{28}{2}+b
  • 2 = 14+b
  • b = 2-14
  • b =-12

Now that we know the slope and the y-intercept, we can finish off our equation as y = \frac{7}{2}x -12.

Hope this helped!

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3 years ago
If f(x) = x2 + 2x + 3, what is the average rate of change of f(x) over the interval [-4, 6]?
a_sh-v [17]

Calculating the value of f(x) for the given interval.

For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11

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Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];

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<span>So option “E” is correct.</span>
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