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2 years ago

13

Without using technology, describe the end behavior of f(x) = −3x4 + 7x2 − 12x + 13.

1 answer:

rodikova [14]2 years ago

8 0

Answer:

11 over 13

Step-by-step explanation:

first, you deal with multiplication;

x = -12 + 14 - 12x + 13

second, deal with addition;

x = -2 - 12x + 13

third, take -12 to the other side then the negative changes to positive;

12x + x = -2 + 13

fourth, add them then simplify;

13x = 11

ans is 11 over 13

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A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W

Montano1993 [528]

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:

A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

d = - 0.2 (it is decreasing)

n = 8

T8 = 13.4 inches

We want to determine the value of the first term, a. Therefore,

13.4 = a - 0.2(8 - 1)

13.4 = a - 1.4

a = 13.4 + 1.4 = 14.8 inches

8 0

1 year ago

X=a-2by(2) make y the subject

sladkih [1.3K]

Answer:

y = √{(a - x)/2b}

Step-by-step explanation:

x=a-2by²

2by² = a - x

divide through by 2b

y² = (a - x)/2b

y = √{(a - x)/2b}

3 0

2 years ago

What is the constant of variation, k, of the direct variation, y = kx, through (5, 8)? k = – k equals negative StartFraction 8 O

Reil [10]

The value of constant of variation "k" is $k = \frac{8}{5} \text{ or } 1.6$

<em><u>Solution:</u></em>

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

<em><u>To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1</u></em>

$8 = k \times 5\\\\k = \frac{8}{5}\\\\k = 1.6$

Thus the value of constant of variation "k" is $k = \frac{8}{5} \text{ or } 1.6$

3 0

2 years ago

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The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Serhud [2]

Answer:

<h2> $length = \frac{25}{28}$ </h2>

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

<h3> $length = \frac{area}{width}$ </h3>

So we have

<h3> $length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4}$ </h3>

We have the final answer as

<h3> $\frac{25}{28}$ </h3>

Hope this helps you

8 0

1 year ago

What is the following difference ? 11 StartRoot 45 EndRoot minus 4 StartRoot 5 EndRoot

Inessa [10]

Answer:

29 $\sqrt{5}$

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers