For 1 multiply both sides by 3 which gives you 3y-y=12. Then combine like terms 2y=12. Lastly divide both sides by 2 and you get y=6. And for 3 first multiply both sides by 4 which gives you 6y-32=y+8. After that combine like terms 6y-y-32=8. Now add the equation together 5y=40 and then divide by 5 and get y=8
It might be 90in
Because it’s asking if the prism below
Answer:
The answer is below
Step-by-step explanation:
a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:
Total weekly salary = Basic salary + Commissions
If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5
Total weekly salary = Basic salary + Commissions = $300 + $67.5
Total weekly salary = $367.5
b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x
Total weekly salary = Basic salary + Commissions = $300 + $0.3x
Total weekly salary = $(300 + 0.3x)
h(x) = -4 + 6
h(x) = 2
h(-2) = 2 because It's a constant function, when you substitute any x-values, you still get the same y-value.
Even if you substitute x = 1000, you still get y = 2.
Therefore, h(-2) = 2
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If you mean h(x) = -4x+6
then h(-2) = 8+6 = 14
therefore, h(-2) = 14 for h(x) = -4x+6
Answer:
66 feet
Step-by-step explanation:
Parallelograms have 2 pair of parallel sides that are congruent to each other.
In parallelogram ABCD, we can say:
AB = DC
and
BC = AD
AB and DC are given, and they are equal. So we can say:
AB = DC
6x - 2 = 3x + 13
Now we can solve for x:
6x - 2 = 3x + 13
6x - 3x = 13 + 2
3x = 15
x = 15/3
x = 5
So,
AB = 6x - 2
AB = 6(5) - 2 = 28
So, DC = 28
We are also given AD = 5, so BC = 5 as well [since AD = BC]
Now, we know the length of all 4 sides.
The perimeter is the sum of all 4 sides. Hence,
Perimeter = 28 + 28 + 5 + 5 = 66 feet
