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nata0808 [166]
3 years ago
12

What is the solution set of 12x^2-9x=0??

Mathematics
1 answer:
netineya [11]3 years ago
6 0
12x²-9x = 0
3x(4x-3)=0
4x-3=0
4x=3
x=3/4
so either x = 0  or x = 3/4
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Your sister rented a stand and sold T-shirts at your local market. The rent fee is $8. If she can make $2 from every T-shirt, ho
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She had to sell 20 T-shirts
The profit plus the rent fee is $40. Then divide it by the T-shirt price $2. Which equals $20.
6 0
3 years ago
A rectangular piece of sheet metal has a length that is 6 in. less than twice the width. a square piece 3 in. on a side is cut f
m_a_m_a [10]
The original width would be 19 and the original length would be 32.

Let w be the width.  Then 2w-6 would be the length.  However, after cutting a 3-inch square from each corner, both the width and length left over to fold into a box would be 6 inches smaller; thus the dimensions would be w-6 and 2w-6-6 or 2w-12.  

Since the section cut out is 3 inches long, 3 will be the height of the box.

Volume is found by multiplying the length, width and height of the box; thus we have:

1014=(w-6)(2w-12)(3)

We multiply the binomials and have:
1014 = [w*2w-12*w-6*2w-6(-12)](3)
1014 = (2w²-12w-12w+72)(3)
1014 = (2w²-24w+72)(3)
1014 = 6w² - 72w + 216

When solving a quadratic equation, we want it set equal to 0.  Subtract 1014 from each side:

1014-1014 = 6w² - 72w + 216 - 1014
0 = 6w² - 72w - 798

We will use the quadratic formula to solve this:

w=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{--72\pm \sqrt{(-72)^2-4(6)(-798)}}{2(6)}
\\
\\=\frac{72\pm \sqrt{5184--19152}}{12}
\\
\\=\frac{72\pm \sqrt{5184+19152}}{12}
\\
\\=\frac{72\pm \sqrt{24336}}{12}
\\
\\=\frac{72\pm 156}{12}
\\
\\=\frac{72+156}{12} \text{ or } \frac{72-156}{12}
\\
\\=\frac{228}{12} \text{ or } \frac{-84}{12}=19 \text{ or } -7

Since we cannot have a negative number for a measurement, 19 has to be the width; then 2(19)-6 = 32 would be the length.
4 0
3 years ago
What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.
Igoryamba

Answer:

Step-by-step explanation:

there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!

8 0
2 years ago
Solve the equation -x + 8 + 3x = x - 6
Ad libitum [116K]
2X+8=x-6
2x-x=-6-8
X=-6-8
X=-14
5 0
3 years ago
Read 2 more answers
What statistical test and how many of them will need to be used to explore the difference in average cholesterol within each gro
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Answer:

The statistical test to be used is the paired t-test.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

Similarly, in this case a paired t-test would be used to deter whether there was any changes in the cholesterol level within each group as result of the treatment.

Thus, the statistical test to be used is the paired t-test.

6 0
3 years ago
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