Whenever there's a division sign you always TAKE AWAY.
So for the first one you would do 5- -3... Which is 8
This would leave you with the answer x^8
For the second one, I worked out a first:
3- - 1 = 4
So a would be a^4
Then I worked out b:
2- - 3= 5
So b would be b^5
And the final answer to question would be a^2b^5
Hope this helps :)
Answer:
y=7
Step-by-step explanation:
x = -1 x is one , replace x with negative one in the equation. using the order of operation PEMDAS.
Remember this -1³= -1×-1×-1=-1
-1²=-1×-1=1.
y =8x³+12x²-6x-3
y= 8(-1)³+12(-1)²-6(-1)-3
<h3>Exponents</h3>
y= 8(-1)+12(1)-6(-1)-3
<h3>Multiplication</h3>
y= -8+12+6-3
<h3>Addition</h3>
y= 10-3
<h3>Subtraction</h3>
y= 7
<h3>Therefore y= 7</h3>
Answer:
For scale factors, I believe you just multiply it by how much it says
Step-by-step explanation:
so for 0.5 or 1/2 or let's just say half, you half (-6,4), and get (-3,-2)
(-2,-4) goes to (-1,-2)
(-2,-6) goes to (-1,-3)
(-6,-6) goes to (-3,-3)
Answer:
- 1) 120 seconds
- 2) 180 seconds
Step-by-step explanation:
<u>First light</u>
Shines 3 seconds first time plus after 6 seconds, the pattern is:
Off 6 seconds first time plus after 6 seconds, the pattern is:
<u>Second light</u>
Shines 4 seconds first time plus after 8 seconds, the pattern is:
Off 8 seconds first time plus after 8 seconds, the pattern is:
<u>Third light</u>
Shines 5 seconds first time plus after 10 seconds, the pattern is:
Off 10 seconds first time plus after 10 seconds, the pattern is:
1) <u>All lights will be off after:</u>
- LCM(6x, 8x, 10x) = 2*3*4*5x
- x = 1 ⇒ 120*1 = 120 seconds, next time
2) <u>All lights will come on after:</u>
- LCM(3 + 6x, 4 + 8x, 5 + 10x) = LCM(3(1+2x), 4(1+2x), 5(1 + 2x)) = 60(1 + 2x)
- x = 1 ⇒ 60(1 + 2) = 180 seconds, first time
Answer:
x ≥-3
Step-by-step explanation:
7 − 9x − (x + 12) less than or equal to 25
7 − 9x − (x + 12) ≤ 25
Distribute the minus sign
7 − 9x − x - 12 ≤ 25
Combine like terms
− 10x −5 ≤ 25
Add 5 to each side
− 10x −5+5 ≤ 25+5
− 10x ≤ 30
Divide by -10. Remember that this flips the inequality
− 10x/-10 ≥30/-10
x ≥-3
