The answer is 5 because if you add 10 to -10 it is 0 then add the 5 more and it is 5.
Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
Answer:
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
Step-by-step explanation:
First consider the slope of this equation we must derive;
Slope Formula = Rise / Run,
y2 - y1 / x2 - x1 ⇒
5 - ( - 5 ) / 4 - ( - 3 ) ⇒
10 / 7 ⇒ Slope : 1 3 / 7
So far we can formulate an equation as such;
y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>
Given one of the points, substitute into this equation solving for b;
5 = 1 3 / 7 * ( 4 ) + b,
5 = 40 / 7 + b,
b = - 5 / 7
From this we can derive one point - slope from equation to be :
<em>Equation; y = 1 3 / 7x - 5 / 7</em>
3^0 if zero is an exponent then the answer would be 1.
Answer:
The exact answer in terms of radicals is ![x = 5*\sqrt[3]{25}](https://tex.z-dn.net/?f=x%20%3D%205%2A%5Csqrt%5B3%5D%7B25%7D)
The approximate answer is
(accurate to 5 decimal places)
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Work Shown:
Let ![y = \sqrt[5]{x^3}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%5B5%5D%7Bx%5E3%7D)
So the equation reduces to -7 = 8-3y
Let's solve for y
-7 = 8-3y
8-3y = -7
-3y = -7-8 ... subtract 8 from both sides
-3y = -15
y = -15/(-3) ... divide both sides by -3
y = 5
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Since
and y = 5, this means we can equate the two expressions and solve for x

![\sqrt[5]{x^3} = 5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E3%7D%20%3D%205)
Raise both sides to the 5th power

Apply cube root to both sides
![x = \sqrt[3]{125*25}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B125%2A25%7D)
![x = \sqrt[3]{125}*\sqrt[3]{25}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B125%7D%2A%5Csqrt%5B3%5D%7B25%7D)
![x = \sqrt[3]{5^3}*\sqrt[3]{25}](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B5%5E3%7D%2A%5Csqrt%5B3%5D%7B25%7D)
![x = 5*\sqrt[3]{25}](https://tex.z-dn.net/?f=x%20%3D%205%2A%5Csqrt%5B3%5D%7B25%7D)
