The possible values of x are 5 and -1/12
<h3>Complete question</h3>
Given that 2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1 find the possible values of x
<h3>How to determine the possible values of x?</h3>
The ratio is given as:
2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1
Express as fraction
Cross multiply
4x^2 -4x + 1 = 16x^2 + x -64x - 4
Collect like terms
-16x^2 + 4x^2 + 64x - x - 4x + 1 + 4 = 0
Evaluate the like terms
-12x^2 + 59x + 5 = 0
Divide through by -1
12x^2 - 59x - 5 = 0
Expand
12x^2 + x - 60x - 5 = 0
Factorize
x(12x + 1) - 5(12x + 1) = 0
Factor out 12x + 1
(x - 5)(12x + 1) = 0
Expand
x - 5 = 0 or 12x + 1 = 0
Solve for x
x = 5 or x = -1/12
Hence, the possible values of x are 5 and -1/12
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You can solve for the base by inputting all the values you know into the volume formula for a triangular pyramid, which is:
(1/3)bh = V
where b = base and h = height.
(1/3)b(6) = 128
2b = 128
b = 64 feet.
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Answer:
Step-by-step explanation:
When subtracting fractions with the same denominator (bottom number[s]) you can treat the numerators (top number[s]) like subtraction with whole numbers.
is equal to -12. Therefore,
will equal 
. But we're not there yet - this fraction can be simplified. We need to find the GCF, or greatest common factor, of -12 and 9. This would be another number that can be divided evenly into these two numbers. The first possible GCF that comes to mind is 3. Let's test that out:
It works! Now we can use this information to simplify the fraction. We replace -12 with -4 and replace 9 with 3. This gives us our final answer, .
Answer:
First, set up equations for total cost for both Happy Paws and Woof Watchers.
x= number of hours
y= total cost
Happy Paws
y=3.50x +16
Woof Watchers
y=4.75x+11
4.75x+11=3.50x+16
x=4
You can check your answer by doing the following:
Happy Paws: (3.50)(4)+16= 30
Woof Watchers: (4.75)(4)+11= 30
Step-by-step explanation:
Answer:
(2,4)
Step-by-step explanation:
2- (-1)= 1+1=2 4-4=0
