Answer:
65
Step-by-step explanation:
Y intercept : (0,-15)
X intercept : (3,0)
Slope : (0 - (-15)) / (3-0) = 15 / 3 = 5
Answer:
- (6-u)/(2+u)
- 8/(u+2) -1
- -u/(u+2) +6/(u+2)
Step-by-step explanation:
There are a few ways you can write the equivalent of this.
1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...
(-u+6)/(u+2)
Or, you can rearrange the terms so the leading coefficient is positive:
(6 -u)/(u +2)
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2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.
-(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)
or
8/(u+2) -1
Of course, anywhere along the chain of equal signs the expressions are equivalent.
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3) You can separate the numerator terms, expressing each over the denominator:
(-u +6)/(u+2) = -u/(u+2) +6/(u+2)
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4) You can also multiply numerator and denominator by some constant, say 3:
-(3u -18)/(3u +6)
You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:
(1+x^2)(6 -u)/((1+x^2)(u+2))
Answer:
tall candles = 39
Short candles = 52
Step-by-step explanation:
let tall candles be x
and short candles be y
No. Of candles sold = x + y =91
Money made from candles will be equal to = 8x + 5y = $572
These both are simultaneous linear equations.
x + y =91 ( multiply by 5)
5x + 5y = 455
8x + 5y = $572
Subtract them:
-3x = -117
x = -117/3
x = 39
put value of x in
x + y = 91
39 + y = 91
y = 91 - 39
y = 52
x shows tall candles so they are 39
y shows short candles so they are 52
