MATHEMATICS HIGH SCHOOL

Which of the following is equivalent to -(5/12) ?A. -5/-12
B. 5/12
C. 12/-5
D. -5/12

Answers

Answer 1
Answer: The answer is D. If you divide -5 by -12 you will get the same answer 

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A set of equations is given below:Equation C: y = 3x + 7
Equation D: y = 3x + 2

How many solutions are there to the given set of equations?

Answers

Good morning Brainiac


y=3x+7

y=3x+2

We need to solve y=3x+7 for y

Substitute 3x+7 for y in y=3x=2

y=3x+2

3x+7=3x+2

Add -3x

3x+7-3x=3x+2-3x

7=2

Add -7

7-7=2-7

0=-5

No solutions


It was my pleasured to help you :)

If f(x)=x^2-5 and g(x)=6x then g(f(x)) is equal to

Answers

g(x) = 6x 

g(f(x)) 
= 6((x^2) - 5) 
= (6x^2) - 30 

so its equal to
(6x^2) - 30
Plug f(x) as x in g(x) and you get 6(x^2-5), which is g(f(x)) = 6x^2-30.

Simplify p(p - q) - q(q - p).

Answers

p(p - q) - q(q - p).    Multiply out.

p*p - p*q - q*q + q*p.         

Note because of the minus before the bracket, the minus inside the bracket changes to +

p² - pq -q² + pq

p² - q² + pq - pq

p² - q² + 0

p² - q²

= p² - q²

I hope this helps.
p^2-pq-q^2+pq=
p^2-q^2=
(p+q)(p-q)=

What is the scale factor for the set of similar figures?

Answers

k=(7)/(20)

What times what equals 31

Answers

Can it be a decimal? Only one I can think of is 1 X 31
Because 31 is a prime number, 31 only has 2 factors, which are 1 and itself.

Therefore, 1* 31= 31~

A piggy bank contains an equal number of pennies, nickels, dimes, and quarters. If the total amount of money in the piggy bank is $7.79, find the number of each type of coin

Answers



7.79 = .01x + .05x + .10x + .25x =
7.79 = .41x
 .41  = .41
x= 19
$7.79 = p number of pennies worth $.01 each, n number of nickels worth $.05 each, d number of dimes worth $.10 each, and q number of quarters worth $.25 each. p = n = d = q
Algebraically, this is written:
7.79 = .01p + .05n + .10d + .25q
Since there is the same number of each type of coin, the variables are all equal to each other. This means that they can all be referred to as 'x'.
7.79 = .01x + .05x + .10x + .25x = .41x
7.79 = .41x
 .41  = .41
19 = x
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