Answer:
y = 5
Step-by-step explanation:
3(у - 3) - 2(у -4) = 4
Distribute
3y -9 -2y +8 =4
Combine like terms
y -1 =4
Add 1 to each side
y-1+1 = 4+1
y = 5
Answer:
(-4, 0) U (1, ∞)
Step-by-step explanation:
Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
Answer:
−
12
a
8
b4+
24
a7
b
2+
6a
4b
2
+
12
a
b
Step-by-step explanation:
Simplify each term
Hi there! :)
<u>Answer:</u>
Jaime has 30 dimes in his pocket.
Step-by-step explanation:
First off, you need to know that:
A <em>quarter</em> is equal to = <u>$0.25</u>
A <em>dime</em> is equal to = $0.10
Jaime has 6 quarters, which means that he has 6 times $0.25:
6 × 0.25 = <u>$1.50</u>
Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:
4.50 - 1.50 = <u>$3</u>
Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:
3 ÷ 0.10 = <u>30</u> → YOUR ANSWER
There you go! I really hope this helped, if there's anything just let me know! :)
