Answer: two over three
Step-by-step explanation:
line intercepts y at (0,-2)
Therefore,
Substitute x = 3 in y =ax-2
To find the x-intercept, y = 0
The slope is 2/3
y-intercept is -2
So two over three
Solve by factoring 6a^2=-23a-20
1 answer:
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Answer:
Option C is correct.
(1, 4)
Step-by-step explanation:
A system of equation is given :
2x + 3y =12 .....[1]
4x + 2y =10 .....[2]
Multiply equation [1] by 2 both sides we get;
Using distributive property i,e
4x + 6y = 24 .....[3]
Subtract equation [2] from [3] to eliminate x we get;
4x + 6y - 4x - 2y= 24 - 10
Combine like terms;
4y = 14
Divide both sides by 4 we get;
y = 3.5
Substitute the value of y in equation [1] we have;
2x + 3(3.5) =12
2x + 10.5 = 12
or
2x = 12 -10.5
2x = 1.5
Divide both sides by 2 we get;
x = 0.75
Solution = (0.75 , 3.5)
Best estimate solution = (1, 4)
Therefore, the best estimate solution of the given system of equation is, (1, 4)
Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 15.
The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.