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2 years ago

When you multiply 2/3 by a fraction less then one how does the product compare to the factor

Mathematics

1 answer:

Vilka [71]2 years ago

6 0

Answer:

The product will always be less than the factor.

Step-by-step explanation:

When you multiply numbers less than 1, you get a smaller factor each time.

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Identify the x-intercepts of the function below f(x)=x^2+12x+24

damaskus [11]

ANSWER:

x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

SOLUTION:

Given, $f(x)=x^{2}+12 x+24$ -- eqn 1

x-intercepts of the function are the points where function touches the x-axis, which means they are zeroes of the function.

Now, let us find the zeroes using quadratic formula for f(x) = 0.

$X=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here, for (1) a = 1, b= 12 and c = 24

$X=\frac{-(12) \pm \sqrt{(12)^{2}-4 \times 1 \times 24}}{2 \times 1}$

$\begin{array}{l}{X=\frac{-12 \pm \sqrt{144-96}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{48}}{2}} \\\\ {X=\frac{-12 \pm \sqrt{16 \times 3}}{2}} \\\\ {X=\frac{-12 \pm 4 \sqrt{3}}{2}} \\ {X=\frac{2(-6+2 \sqrt{3})}{2}, \frac{2(-6-2 \sqrt{3})}{2}} \\\\ {X=(-6+2 \sqrt{3}),(-6-2 \sqrt{3})}\end{array}$

Hence the x-intercepts of $\mathrm{x}^{2}+12 \mathrm{x}+24=0 \text { are }(-6+2 \sqrt{3}),(-6-2 \sqrt{3})$

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2 years ago

Help please I’m tired

klasskru [66]

Answer:

8.11

Step-by-step explanation:

7.14 right answer should be

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2 years ago

In four years, 40% of a radioactive element decays. Find its half-life. Round to one decimal place.

White raven [17]

To find the answer, use $k = \frac{2.303 }{ 4} (log\frac {100 }{ 40})$ , and then use the equation $t=\frac{.693}{k}$ To find it's half life.

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3 years ago

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Which of the following uses the distributive property correctly?

Mila [183]

Answer: A

You’re basically adding m - 2 nine times
So it’s 9m - 18
Or 9m - 9(2)

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2 years ago

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The sixth grade class sold sweatshirts with their school logo to raise money for a field trip they bought 220 sweatshirts for $8

IRINA_888 [86]

They made a profit of $1,430. Simple math. Multiply 8*220 to see how much they spent. Then multiply 14.50*220 to see how much they received from all the sweatshirts. Lastly, subtract how much they spend versus how much the made.

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3 years ago