Answer:
a = -2
b = 7
Step-by-step explanation:
5a+3b=11
-2a+3=b
substitute for b:
5a + 3(-2a + 3) = 11
5a -6a + 9 = 11
-a = 2
a = -2
b = 7
Add the 3 ratio portions together: 1 + 4 + 7 = 12
Divide total length by 12:
84/12 = 7
Multiply each ratio portion by 7:
1 x 7 = 7
4 x 7 = 28
7 x 7 = 49
The longest piece is 49 cm
3.75 each, 6 friends, $20. 6 multiplied by 3.75 is 18.75. you can buy 5 sandwiches
Answer:
$14,400
<em>Brainliest, please!</em>
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Step-by-step explanation:
25% is furniture, and furniture costs $3600.
So, 3600 x 4 is the total cost, which equals 14400
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
.