F(x)=3 domain: negative infinity, positive infinity range: 3
g(x)=x+7 domain: - infinity, + infinity range: - infinity, + infinity
Answer:
Step-by-step explanation:
You want the external angle to be 45°.
If n = number of sides, the external angles are each 360°/n = 45°
n = 360/45 = 8
The shape is a regular octagon.
Answer:
The first mechanic $90/hour and the second charged $70/hour
Step-by-step explanation:
Lets start off by letting x be the first mechanics rate and y being the second mechanics rate. We know that the first mechanic worked 5 hours and that the second mechanic worked 10 hours and together they charged 1150. An equation to express this would be:
5x+10y = 1150
We also know that together they charged 160/per hour. An equation to express this would be:
x+y = 160
Now we can solve the second equation for x or the first mechanics rate.
x+y = 160
x = 160 - y
Now that we have an expression for x we can plug that back into the first equation and solve for y or how much the second mechanic charged.
5x+10y=1150 plug in x =160-y
5(160-y)+10y=1150 Distribute
800 -5y+10y = 1150 Combine like terms
800 +5y = 1150 Subtract 800 from both sides
5y = 350 divide by 5
y = 70
So we know that the second mechanic charged $70/hour. We also know that(from our work before) that the first mechanic charges $160 - the rate the second mechanic charged. We know that's $70/hour so we can plug in and solve for the first rate.
x = 160-y
x = 160-70
x = 90
So we know that the first mechanic charged $90/hour and the second mechanic charged $70/hour.
Answer:
Therefore, the correct option is (C) 48.
Step-by-step explanation:
Consider the provided information.
The party of five sits together in five consecutive seats, and Will must NOT sit in between two of his friends.
That means Will must sit on either ends of the people.
Case I:
If Will sit on extreme left.
W _ _ _ _
Thus, the number of ways are: 1×4×3×2×1=24
Case II:
If Will sit on extreme right.
_ _ _ _ W
Thus, the number of ways are: 4×3×2×1×1=24
Hence, the total number of ways are: 24+24=48.
Therefore, the correct option is (C) 48
The height of the book is 18 inches tall.
<h3>How to calculate the height?</h3>
The width of an image of a book shown on a website = 1.5 inches
The length of the book shown on the website = 3 inches
The actual width of the book = 9 inches
Scale of the book image = 1 inches = 6 inches
The actual heigth of the book:
= 3 × 6
= 18 inches.
The actual book is 9 inches wide and 18 inches tall.
Learn more about height on:
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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide
