Hey there!!
Okay so let's start simplifying this :D
-| -2 + 9| <---- remember that the "vertical bars" are absolute value signs
Absolute value signs will make any values within them into a positive value even if it was negative in the first place
-| 7 | <---- first simplify what is within the absolute value signs
<u>- 7</u><u /> <----- this is your final answer!!!
I hope this helps you! ^__^
Answer:
The value of x = -6
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that g(x) = 2 x + 4 and g (x ) = -8
⇒ Equating
2 x +4 = - 8
Subtracting '4' on both sides, we get
2 x + 4 - 4 = -8 -4
⇒ 2 x + 0 = -12
⇒ 2 x = -12
<u><em>Step(ii):-</em></u>
Dividing '2' on both sides, we get
x = -6
The value of x = -6
Answer:
<u>Question 1:</u>
5 pints per hour
<u>Question 2:</u>
480 tons per day
<u>Question 3:</u>
12 miles per gallon of gasoline
<u />
Step-by-step explanation:
<u>Question 1:</u>
<h2><em>In the morning;</em></h2>
A farm worker packed 3 pints of grapes every 4 minutes.
1 minute =
hours
Packing rate in pints per hour = 3 pints ÷
hours = 45 pints per hour
<h2><em>In the afternoon;</em></h2>
She packed 2 pints of grapes every 3 minutes.
Packing rate in pints per hour = 2 pints ÷
hours = 40 pints per hour.
The difference between her morning and afternoon packing rates (in pints per hour) = 45 pints per hour - 40 pints per hour = 5 pints per hour
<u>Question 2:</u>
A recycling plant processes an average of
tons of glass each minute.
1 hour = 60 minutes
The number of tons of glass processed in 1 hour is:
× 60 = 20 tons of glass in 1 hour.
1 day = 24 hours
Number of tons of glass processed in a day = 20 tons × 24 = 480 tons
<u>Question 3:</u>
A vehicle uses 1
gallons of gasoline to travel 13
miles.
Per 1 gallon of gasoline the vehicle will travel:
1 × 13
÷ 1
= 12 miles
Let x and x+1 be the two consecutive integers.
Then their sum is x + (x+1) = 2x + 1.