Note the equal sign, what you do to one side, you do to the other side. Isolate the variable z.
First, subtract 3z and add 6/4 to both sides
4z (-3z) - 6/4 (+6/4) = 3z (-3z) + 1 (+6/4)
4z - 3z = 1 + 6/4
Simplify. Note that 1 = 4/4.
z = 4/4 + 6/4
Simplify. Combine like terms
z = 10/4
Simplify. Change the improper fraction into mixed fraction and simplify.
z = 10/4 = 2 2/4 = 2 1/2
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Answer:
The answer to your question is:
Step-by-step explanation:
1.-
Data
3.3 x 10 ⁴ pounds of paper
1.5 x 10³ pounds of aluminum
Amount of aluminum / amount of paper = 1.5 x 10³ / 3.3 x 10⁴
= 0.045 times
= 4.5 x 10 ⁻²
2.-
Data
1.2 x 10 ³ text messages in a month
text messages in a year = ?
1.2 x 10³ text messages ------------------- 1 month
x ------------------- 12 months
x = (12 x 1.2 x 10³) / 1
x = 14400 text messages
x = 1.44 x 10⁴ text messages
3.-
Data
distance = 4 x 10⁶ miles I am not sure if the power is 6 or 8
speed = 1.6 x 10³ mi/h
Formula
time = distance / speed
time = 4 x 10⁶ / 1.6 x 10³
time = 2500 h
time = 2.5 x 10 ³ h
So find factors of 5
1 and 5
both factors must be both negative or both positive to be positive 5
adds to negative 4
to do that, they both must be negative
-5 times -1=5
-5+-1=-6
doesn't work
the only way it would work is if it is what multipies to -5 and adds to -4 which then the numbers would be -5 and 1
Okay well the last number is in the thousandths place so put 216 over 1000. 216/1000. Now to simply. Find the biggest common denominator. the biggest common denominator is 8. So now you divide: 216÷8=27, 1000÷8=125 now put 27/ 125. ANSWER: 216/1000=27/125
Answer:
Vertex form
(
2
/3
, −
10
/3
)
x and y intercepts
Y intercept (
2
+
√
10
/3
,
0
)
,
(
2
−
√
10/
3
,
0
)
X intercept (
0
,
−
2
)
Step-by-step explanation:
