When each of the following is divided by 8, only ?_ has a remainder that is a prime number. A) 548 B) 569 C) 678 D) 778
1 answer:
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Alright, lets get started.
Suppose the original deck size: width = x feet
the width is one-fourth the length given in question means length = 4 x feet
Means the originally area =
Now the dimensions are changed.
New dimensions, width = (x + 6)
new length = (4x+10)
So, new area will be =
the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means
Subtracting from both sides
Subtracting 60 from both sides
Dividing 34 in both sides
Means width = 2 feet
Length would be = 4 time width = 4 * 2 = 8 feet
Means dimension of original deck would be = 2 feet and 8 feet :Answer
Hope it will help :)
Answer:
Increasing on it's domain because the slope is positive.
The domain and range are both all real numbers, also known as
.
Step-by-step explanation:
All domain really means is what numbers can you plug in and you get number back from your function.
I should be able to plug in any number into 3x+2 and result in a number. There are no restrictions for x on 3x+2.
The domain is all real numbers.
In interval notation that is .
Now the range is the set of numbers that get hit by y=3x+2.
Well y=3x+2 is a linear function that is increasing. I know it is increasing because the slope is positive 3. I wrote out the positive part because that is the item you focus on in a linear equation to determine if is increasing or decreasing.
If slope is positive, then the line is increasing.
If slope is negative, then the line is decreasing.
So y=3x+2 hits all values of y because it is increasing forever. The range is all real numbers. In interval notation that is .