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Gennadij [26K]
3 years ago
15

What is the 2nd term when −3f3 + 9f + 6f4 − 2f2 is arranged in descending order?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
6 0

For this case we have the following polynomial:

-3f ^ 3 + 9f + 6f ^ 4 - 2f ^ 2

To answer the question, what we must do is rewrite the polynomial in its standard form.

We have then that the polynomial will be given by:

6f ^ 4 - 3f ^ 3 - 2f ^ 2 + 9f

Therefore, we have the ordered polynomial in descending form of exponents.

Therefore, the second term of the polynomial is:

- 3f ^ 3

Answer:

The second term of the polynomial is given by:

- 3f ^ 3

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Which expression is equivalent to log12 (1/8/8w) ?
makkiz [27]
Hello! For this problem we need to make use of two existing logarithmic properties. These are:

1. log \frac{M}{N} is equal to log M-logN
2. log(MN) is equal to log M+logN

Following the first property, we can simplify the expression to log \frac{1}{2}-log(8w).

Then, we will use the second property to the term 8w. The final form of the expression would then be log \frac{1}{2}-(log8+logw) 

ANSWER: log \frac{1}{2}-(log8+logw)  (second option)
5 0
4 years ago
Jamal hiked on two trails. The first trail was 5 1/3 miles long and the second trail was 1 3/4 times as long as the first trail.
earnstyle [38]

Answer:

Jamal hiked = 44/3 miles

Step-by-step explanation:

Mixed numbers are given in this question which can be changed into fractions by multiplying the denominator by quotient and adding numerator to it.

Given that:

Length of first trail: 5 1/3 = (3*5 + 1)/3 = 16/3 miles

According to given condition:

Length of second trail: 1 3/4 * 16/3 = (4*1+3)/4 * 16/3 = 7/4*16/3

By simplifying:

Length of second trail = 28/3 miles

So the total miles Jamal hiked = 16/3 + 28/3

Jamal hiked = 44/3 miles

i hope it will help you!

4 0
3 years ago
Quadrilateral ABCD ​ is inscribed in this circle.
Lelechka [254]

Answer:

m∠C = 122°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means

m∠A + m∠C = 180°

m∠B + m∠D = 180°

To find angle C we need to find x, then subtract m∠A from 180°

x+20=3x

20=2x

x=10

Now we substitute 10 in for x

m∠A=2(10)+38

m∠A=20+38

m∠A=58°

Now we subtract this value from 180.

m∠C=180-58

m∠C=122°

4 0
3 years ago
Consider the line that passes through each pair of given points, and decide what type of slope the line has.
tatiyna

Answer:

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

Step-by-step explanation:

We will find the slope of each line to check the type of slope.

Slope is given by the formula:

m = \frac{y_2-y_1}{x_2-x_1}

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point

Now,

<u>(2, 4) and (5, 1)</u>

m = \frac{1-4}{5-2} = \frac{-3}{3} =-1

The slope is negative.

<u>(3,5) and (-1,2)</u>

m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}

The slope is positive

(-7, 8) and (-7,0)

m = \frac{0-8}{-7+7} = \frac{-8}{0}

division by zero makes the slope undefined.

(6.-3) and (4, -3)

m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0

The slope is zero

Hence,

The types of slope for each pair are:

(2, 4) and (5, 1) => Negative

(3,5) and (-1,2) => Positive

(-7, 8) and (-7,0) => Undefined

(6.-3) and (4, -3) => Zero

3 0
3 years ago
Read 2 more answers
What is the Answer to 6x + 9 = -15
Elza [17]

Answer: x= -4

Step-by-step explanation:

6x+9= -15

-9. -9

6x= -24

X= -4

3 0
4 years ago
Read 2 more answers
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