Expanding the given expressions using Foil:
1)(–7x + 4)(–7x + 4) =
2) (–7x + 4)(4 – 7x)=
3)(–7x + 4)(–7x – 4)==
4)(–7x + 4)(7x – 4)=
The third option that is (–7x + 4)(–7x – 4) is difference of two squares.
How many password are possible if you want to use 5 letters and they cannot be repeated.
1 answer:
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Answer:
(a) 7 essays and 29 multiple questions
(b) Your friend is incorrect
Step-by-step explanation:
Represent multiple choice with M and essay with E.
So:
--- Number of questions
--- Points
Solving (a): Number of question of each type.
Make E the subject of formula in
Substitute 36 - M for E in
Collect Like Terms
Divide both sides by -4
Substitute 29 for M in
Solving (b): Can the multiple questions worth 4 points each?
It is not possible.
See explanation.
If multiple question worth 4 points each, then
would be:
Where x represents the number of points for essay questions.
Substitute 7 for E and 29 for M.
Subtract 116 from both sides
Make x the subject
Since the essay question can not have worth negative points.
Then, it is impossible to have the multiple questions worth 4 points
<em>Your friend is incorrect.</em>
<h3>Trina uses 3.44 or 
pints of white paint</h3>
<em><u>Solution:</u></em>
Given that,
Trina uses 8.6 pints of blue paint and white paint to paint her bedroom walls
3/5 of the amount is blue paint, and the rest is white paint
From given,
3/5 of 8.6 pints is blue paint
Thus, 2/5 of 8.6 pints is white paint
<em><u>How many pints of white paint did she use to paint her bedroom walls? </u></em>
Thus she uses 3.44 or 17.2/5 pints of white paint