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T = 4m² - 11 (a) Work out the value of T when m = -3 (b) Make p the subject of the formula d = 3p + 4 - Edexcel - GCSE Maths - Question 4 - 2022 - Paper 3

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T-=-4m²---11--(a)-Work-out-the-value-of-T-when-m-=--3--(b)-Make-p-the-subject-of-the-formula-d-=-3p-+-4-Edexcel-GCSE Maths-Question 4-2022-Paper 3.png

T = 4m² - 11 (a) Work out the value of T when m = -3 (b) Make p the subject of the formula d = 3p + 4

Worked Solution & Example Answer:T = 4m² - 11 (a) Work out the value of T when m = -3 (b) Make p the subject of the formula d = 3p + 4 - Edexcel - GCSE Maths - Question 4 - 2022 - Paper 3

Step 1

Work out the value of T when m = -3

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Answer

To find the value of T when m = -3, we substitute -3 into the equation:

T=4(3)211T = 4(-3)^2 - 11

Calculating the squared term:

(3)2=9(-3)^2 = 9

Thus, we have:

T=4(9)11T = 4(9) - 11

Next, calculate 4 times 9:

T=3611T = 36 - 11

Finally, we obtain:

T=25T = 25

Step 2

Make p the subject of the formula d = 3p + 4

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Answer

To make p the subject of the formula, we start with:

d=3p+4d = 3p + 4

First, isolate the term involving p by subtracting 4 from both sides:

d4=3pd - 4 = 3p

Next, divide both sides by 3 to solve for p:

p=d43p = \frac{d - 4}{3}

This is the required expression for p in terms of d.

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