The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
x³ - 11x² + 38x - 40
(x - 5) * x² = x³ - 5x² Subtract
____________________________
-6x² + 38x - 40
(x - 5) * (-6x) = -6x² + 30x Subtract
____________________________
8x - 40
(x - 5) * 8 = 8x - 40 Sutract
____________________________
0
Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)
Now, let's simplify x² - 6x + 8.
x² - 6x + 8 = x² - 2x - 4x + 8 =
= x² - 2*x - (4*x - 4*2) =
= x(x - 2) - 4(x - 2) =
= (x - 4)(x - 2)
Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0 or x - 4 = 0 or x - 2 = 0
x = 5 or x = 4 or x = 2
To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:
180°-53°-90°
=37°
Therefore ∠z=37°.
Hope it helps!
The greatest number of groups that can be formed is 10
Answer:
1250
Step-by-step explanation:
x^3*y^1
Let x = 5 and y = 10
5^3* 10^1
PEMDAS says powers first
125 * 10
Then multiply
1250
Answer:
![\sqrt[3]{5x+10}=5 / ^{3}\\ 5x+10=125\\5x=115/:5\\x=23](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x%2B10%7D%3D5%20%2F%20%5E%7B3%7D%5C%5C%20%205x%2B10%3D125%5C%5C5x%3D115%2F%3A5%5C%5Cx%3D23)
If you mean that :![\sqrt[3]{5x}+10=5](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x%7D%2B10%3D5)
this is
![\sqrt[3]{5x}+10=5 /^{3} \\5x+1000=125\\5x=-875/:5\\x=-175](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5x%7D%2B10%3D5%20%2F%5E%7B3%7D%20%5C%5C5x%2B1000%3D125%5C%5C5x%3D-875%2F%3A5%5C%5Cx%3D-175)
Step-by-step explanation:
