Answer:
x = 3 , y = 13
Step-by-step explanation:
Note that both equations is equal to y. Set the two equations equal to each other
y = 7x - 8; y = 5x - 2
7x - 8 = y = 5x - 2
7x - 8 = 5x - 2
Isolate the x. Subtract 5x and add 8 to both sides
7x (-5x) - 8 (+8) = 5x (-5x) - 2 (+8)
7x - 5x = -2 + 8
Simplify.
(7x - 5x) = (-2 + 8)
2x = 6
Isolate the x. Divide 2 from both sides
(2x)/2 = (6)/2
x = 6/2
x = 3
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Plug in 3 for x in one of the equations.
y = 7x - 8
y = 7(3) - 8
Simplify. Remember to follow PEMDAS.
y = 7(3) - 8
y = 21 - 8
y = 13
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x = 3, y = 13 is your answer
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Pythagorean theorem: a²+b²=c²
Where c = length of the hypotenuse (diagonal of a triangle)
60²+40²=c²
3600+1600=c²
5200=c²
c=√5200
c ≈ 72.11 ft
Answer:
Step-by-step explanation:
its b just took the test
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Below is the solution:
<span>E(X) = 50*1 - 3*8000/10000
E(X) = 50 - 24 = $26 per year</span>
x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
