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3 years ago

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the lengths of the sides of a triangle are consecutive even integers. the perimeter is 42. what is the length of the longest sid

e

1 answer:

Alex3 years ago

5 0

Answer:

Assuming x as the length of the longest side, x is 16 units.

Step-by-step explanation:

$x+(x-2)+(x-4)=42\\3x-6=42\\3(x-2)=42\\x-2=14\\x=16$

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The median and mode are the same. The low and high values are the same.

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4 years ago

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a quantity with an initial value of 5900 decays exponentially at a rate of 0.85% every 7 years. what is the value of the quantit

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The value of the quantity after 99 months is 5228.58.

Given that, an initial value = 5900, rate of decay = 0.85% and time period = 7 years.

<h3>What is the exponential decay?</h3>

The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.

The exponential decay formula formula is $Amount=Initial\ value(1-\frac{r}{100} )^{\frac{t}{n} }$

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= 5900× $(0.9915)^{14.14}$

= 5900×0.8862

= 5228.58

Therefore, the value of the quantity after 99 months is 5228.58.

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1 year ago

Given that m<KLH=120°, which statement about the figure must be true.

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Answer:

The answer is B. <GLJ is bisected by LH

Step-by-step explanation:

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4 years ago

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Can you help me on this algebra 2 question?

lana66690 [7]

Answer:

$(f + g)(x) = - 10 \sqrt[3]{2x} \: \: \: (f + g)( - 4) = 20$

$(f - g)(x) =12 \sqrt[3]{2x} \: \: \: (f - g)( - 4) = - 24$

The domain of (f+g)(x) is all real numbers.

The domain of (f-g)(x) is all real numbers.

Step-by-step explanation:

The given functions are

$f(x) = \sqrt[3]{2x}$

and

$g(x) =- 11\sqrt[3]{2x}$

By the algebraic properties of polynomial functions:

$(f + g)(x) = f(x) + g(x)$

$(f + g)(x) = \sqrt[3]{2x} + - 11 \sqrt[3]{2x}$

This becomes:

$(f + g)(x) = \sqrt[3]{2x} - 11 \sqrt[3]{2x}$

We subtract to obtain:

$(f + g)(x) = - 10 \sqrt[3]{2x}$

Also

$(f - g)(x) = f(x) - g(x)$

$(f - g)(x) = \sqrt[3]{2x} - - 11 \sqrt[3]{2x}$

$(f - g)(x) = \sqrt[3]{2x} + 11 \sqrt[3]{2x}$

$(f - g)(x) = 12\sqrt[3]{2x}$

When x=-4

$(f + g)( - 4) = - 10\sqrt[3]{2 \times - 4}$

$(f + g)( - 4) = - 10\sqrt[3]{ - 8}$

$(f + g)( - 4) = - 10 \times - 2 = 20$

Then also;

$(f - g)( - 4) = 12\sqrt[3]{ - 8}$

$(f - g)( - 4) = 12 \times - 2 = - 24$

The domain refers to the values that makes the function defined.

Both are cube root functions and are defined for all real numbers.

The domain of (f+g)(x) is all real numbers.

The domain of (f-g)(x) is all real numbers.

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3 years ago

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Answer:

<em> 3 + 3x = 45 ; x = 14 </em>

Step-by-step explanation:

45 = 3x + 3 ⇒ <em>x = 14</em>

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3 years ago

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