Answer:
(x - 26)(x + 14)
Step-by-step explanation:
We need to find 2 numbers that add up to -12 and multiply to -364.
We know we will need one positive number and one negative number:
-26 and 14 work to multiply to -364.
-26 and 14 add up to -12.
∴ (x - 26)(x + 14)
Answer:
7x + 4y
Step-by-step explanation:
We have to write an equivalent expression of the given expression in standard form.
The expression is - 5(x - 4y) + 2(6x - 8y)
= -5(x) - 5(- 4y) + 2(6x) + 2(- 8y)
{Applying the distributive property of multiplication}
= - 5x + 20y + 12x - 16y
= (-5x + 12x) + (20y - 16y)
{Separating the x and y terms}
= 7x + 4y (Answer)
Answer:
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Step-by-step explanation:
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Answer:
5536 calculators
Step-by-step explanation:
We integrate the function dx/dt to obtain the number of new calculators between beginning of the 3rd week and end of week 4. Note that beginning of 3rd week is the same as end of 2nd week. So, 
= 
Let u = t + 12, then 
= 1. So, du = dt. We also change the limits of our integration. So, when t = 2, u = 2 + 12 = 14 and when t = 4, u = 4 + 12 = 16
Then 
= ∫₁₄¹⁶ ![{5000(1 -\frac{100}{u^{2} } )} \, du = 5000[ u + \frac{100}{u} ]](https://tex.z-dn.net/?f=%7B5000%281%20-%5Cfrac%7B100%7D%7Bu%5E%7B2%7D%20%7D%20%29%7D%20%5C%2C%20du%20%3D%205000%5B%20u%20%2B%20%5Cfrac%7B100%7D%7Bu%7D%20%5D)
₁₄¹⁶ = ![5000[16 + \frac{100}{16} - (14 + \frac{100}{14} )] = 5000 [16 - 14 + \frac{100}{16} - \frac{100}{14} ] = 5000 [2 + \frac{100}{16} - \frac{100}{14} ] = 5535.7](https://tex.z-dn.net/?f=5000%5B16%20%2B%20%5Cfrac%7B100%7D%7B16%7D%20-%20%2814%20%2B%20%5Cfrac%7B100%7D%7B14%7D%20%29%5D%20%3D%205000%20%5B16%20-%2014%20%2B%20%5Cfrac%7B100%7D%7B16%7D%20-%20%5Cfrac%7B100%7D%7B14%7D%20%20%5D%20%3D%205000%20%5B2%20%2B%20%5Cfrac%7B100%7D%7B16%7D%20-%20%5Cfrac%7B100%7D%7B14%7D%20%20%5D%20%3D%205535.7)
≈ 5536 calculators
Answer:
0=-12
Step-by-step explanation:
