<span>Solution for x^2+10x+75=0 equation: Simplifying <span>x2</span> + 10x + 75 = 0 Reorder the terms: 75 + 10x + <span>x2</span> = 0Solving 75 + 10x + <span>x2</span> = 0 Solving for variable 'x'.</span><span>
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A plane parallel to vectors <9, 6, 2> and <-8, -4, -5> is given by

Since the plane passes through point (5, -5, 8), then
-22(5) + 29(-5) + 12(8) = -110 - 145 + 96 = -159
The required plane is -22x + 29y + 12z = -159
z = 11/6x - 29/12y - 53/4
Answer:
the sales tax rate is 8.59%
Step-by-step explanation:
The computation of the sales tax rate is as follows:
= Tax value ÷ Total taxes
= $10.80 ÷ ($150.52 - $24.72)
= $10.80 ÷ $125.80
= 8.59%
Hence, the sales tax rate is 8.59%
We simply applied the above formula to determine the sales tax rate
Answer:
4x^2
Step-by-step explanation:
The greatest common factor of 12, 8, and 16 can be no larger than the smallest difference between these numbers, which is 4. 4 is a factor of each number, so is the GCF of them.
The exponent of the greatest common factor of x^4, x^3, and x^2 can be no larger than the smallest of these exponents, which is 2. So, the GCF of the variable portion of the terms is x^2.
The product of the coefficient GCF and the variable GCF is ...
... 4x^2
Answer:
25t = 65
Step-by-step explanation:
Given that :
Profit earned = $60
Charge per hour = $25
Randy's cost or expenses = $(2 + 3) = $5 per job
Profit = (charge per hour * t) - cost
Where t = time
$60 = ($25 * t) - $5
$60 = $25t - $5
$25t = $65