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Temka [501]
2 years ago
9

Solve 3x2 + 18x + 15 = 0 by completing the square. 3(x + 3)2 = 6; x = −3 + square root 2, x = −3 − square root 2 3(x + 9)2 = 12;

x = −11, x = −7 3(x + 3)2 = 12; x = −5, x = −1 3(x + 9)2 = 228; x = −9 + square root 76, x = −9 − square root 76
Mathematics
2 answers:
Rzqust [24]2 years ago
7 0

Hey there!

I took the test, and I can confirm that 3(x + 3)2 = 12; x = -5, x = -1 is the CORRECT answer

xXxGolferGirlxXx

Damm [24]2 years ago
5 0
3(x + 3)2 = 12; x = -5, x = -1
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Virgil has 1/6 of the original cake, which he wants to divide into 4 parts. Thus:
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Suppose that a company claims that its chocolate bars weigh 1.6 ounces on average. It took many large samples, and each time the
Nuetrik [128]

Answer:

The company's chocolate bars weigh 1.6 ounces on average.

Step-by-step explanation:

We are given that  a company claims that its chocolate bars weigh 1.6 ounces on average.

It took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.

95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.

Thus by definition we can say that The company's chocolate bars weigh 1.6 ounces on average.

Hence Option B is correct.

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2 years ago
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Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4
crimeas [40]

We have been given an expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}. We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.

Let us simplify our given expression.

Using exponent property, a^m\cdot a^n=a^{m+n}, we cab rewrite our given expression as:

\left( 4^{-2+(-3)} \right)^{3}

\left( 4^{-5} \right)^{3}

Now we will use exponent property (a^m)^n=a^{m\cdot n}to further simplify our expression.

\left( 4^{-5} \right)^{3}= 4^{-5\cdot 3}

\left( 4^{-5} \right)^{3}= 4^{-15}

Therefore, Chris made mistake in step 2.

8 0
2 years ago
A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r
eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

            Radius= 1.5 m

            Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= 2\pi rh

Considering, π= 3.14

⇒ lateral surface area of cylinder= 2\times 3.14\times 1.5\times 2.5

⇒ lateral surface area of cylinder= 23.55 \ m^{2}

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

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8 0
2 years ago
What is the quotient of -8a^8b^-2/ 10a^-4b^-10 in simplified form?
postnew [5]

Here are a few rules with exponents that you need to know:

  1. Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}

For this, divide:

\frac{-8a^8b^{-2}}{10a^{-4}b^{-10}}=\frac{-8}{10}a^{8-(-4)}b^{-2-(-10)}=-\frac{4}{5}a^{12}b^8

<u>Your final answer is -\frac{4}{5}a^{12}b^8</u>

7 0
2 years ago
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