The translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
<h3>How to translate the mathematical statement?</h3>
The mathematical statement is given as:
six decreased by 9 times a number is -39
9 times a number means
9 * x (assume x is the number)
So, we have:
six decreased by 9 times a number is -39 ⇒ six decreased by 9x is -39
Decreased by means we subtract 6 from 9x.
So, we have:
six decreased by 9 times a number is -39 ⇒ 9x - 6 = -39
Hence, the translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
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The expression of the equation 4(x - 8) + y = 9(x - 2) in slope intercept form is; y = 5x + 14
<h3>How to write an equation in Slope Intercept form?</h3>
We want to express 4(x - 8) + y = 9(x - 2) in slope intercept form of y = mx + b.
Let us expand the equation to get;
4x - 32 + y = 9x - 18
Isolate y to get;
y = 9x - 4x - 18 + 32
y = 5x + 14
Thus;
Slope = 5
y - intercept = 14
x - intercept = -2.8
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Yellow Cab : y = 0.25x + 5
Express Cab: y = 1.5x
a) Yellow Cab: 1.75 + 5 = 6.75
Express Cab: 1.5 * 7 = 10.5
YELLOW CAB
b) Yellow Cab: 0.75 + 5 = 5.75
Express Cab: 1.5 * 3 = 4.5
EXPRESS CAB
c) 0.25x + 5 = 1.5x
1.25x = 5
x = 4
4 MILES
3 ( x^8-4v) ........... .
Your answer is option c. The final simplified form should have y to the 4th power instead of y cubed. I think so..
