Answer:
x = -5/6, +4/3
Step-by-step explanation:
You want to look for two factors of 18·(-20) = -360 that have a sum of -9. They are -24 and +15. These let you rewrite the middle term as two terms:
y = 18x^2 -24x +15x -20
Now, you can factor by grouping the terms 2 at a time.
y = 6x(3x -4) +5(3x -4)
y = (6x +5)(3x -4)
These factors are zero when y = 0, so the zeros are ...
x = -5/6 and x = 4/3
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Sometimes when I'm really stumped with roots of polynomials, I use a graphing calculator to find them.
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Factors of -360 are ...
-360 = -360·1 = -180·2 = -120·3 = -90·4 = -72·5 = -60·6 = -45·8 = -40·9 = -36·10 = -30·12 = -24·15 = -20·18
Answer:
m=10
w=15
Step-by-step explanation:
m + w = 25
3m + 4w = 90
Let's do substitution, first by solving the first equation for m.
m = 25 - w
Substitute!
3(25 - w) + 4w = 90
75 - 3w + 4w = 90
w = 15
m = 25 - 15 = 10
Answer: One.
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 8*x-19-(-4-7*x)=0
Pull out like factors : 15x - 15 = 15 • (x - 1)
Solve : 15 = 0
Solve : x-1 = 0
Add 1 to both sides of the
Answer:
B and C
Step-by-step explanation:
2/10 = 20/100
and the image shows 20/100 accurately
2/100 is not equal to 2/10 because
2/100 = 1/50, 2/10 = 1/5
No, because the charge in dollars is 2.50+m where m is the mileage. If it was proportional, then the charge would double if the mileage is doubled, but this is not the case. If m=5 miles then the charge is $7.50. If the charge were to double to $15 then m=12.5 miles, which is more than double the mileage.
