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SOVA2 [1]
3 years ago
5

The coefficient of the second term in the expansion of the binomial (4x + 3y)3

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0
The coefficient of the second term is the 3 in (4x+3y)
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T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each state
Klio2033 [76]

Answer:

Please check explanation

Step-by-step explanation:

Here, we want to do a matching.

We shall be matching the given statements with the features we have on the graph

Hence we shall be looking closely at the graph to answer the questions.

The y-intercept is the point at which the graph touches the y-axis

And it was at -3 degrees celsius at the beginning of the day.

The temperature was above zero between 8am and 8pm. The matching statement is that it is increasing or decreasing interval

We can see that the graph rose from 8am before it finally comes to zero at 8pm

Positive or negative interval matches with it was getting warmer between 2am and 2pm.

While temperature was lowest at 2am, we can see a peak at 2pm.

8 0
3 years ago
How many complex zeros does the polynomial function have?<br> f(x)=−3x^6−2x^4+5x+6
REY [17]

one way would be to factor

I can't factor it so we will have to use Descartes' Rule of Signs which is helpful for finding how many real roots you have


it goes like this:

for a polynomial with real coefients, consider f(x)=-3x^6-2x^4+5x+6.

after arranging the terms in decending order in terms of degree, count how many times the signs of the coeffients change direction and minus 2 from that number until you get to 1 or 0. that will be the number of even roots the function can have

We have (-, -, +, +). the signs changed 1 times, so it has 1 real positive root


to get the negative roots, we evaluate f(-x) and see how many times the root changes

f(-x)=-3x^6-2x^4-5x+6

signs are (-, -, -, +). there was 1 change in sign

so the function has 1 real negative root



a total of 2 real roots


a function of degree n can have at most, n roots


our function is degree 6 so it has 6 roots

if 2 are real, then the others must be complex

6-2=4 so there are 4 complex roots


you can also show that there are only 2 real roots by using a graphing utility to see that there are only 2 real roots

7 0
2 years ago
Line segment AB is translated 5 units right and 2 units down followed by a rotation of 180o about the origin. The resulting imag
sergeinik [125]
The correct answer is c
3 0
2 years ago
Read 2 more answers
Genise is making cookies. She needs 1 1/2 cups of flour for one batch, but she wants to make 2 1/2 batches. Write an equation th
nikklg [1K]
"She needs 1.5 cups of flour for 1 batch, but she wants to make 2.5 batches."

This means that she needs 7.5 cups of flour for 5 batches.

Hence, she needs 3.75 cups of flour for 2.5 batches.
5 0
2 years ago
The millers drove 150 miles in 3 hours at what rate how long will it take them to drive 400 miles
valentina_108 [34]
Rate = (150 miles)/(3 hrs) = 50 mph

so . . .

(50 mph)*(time) = 400 miles

*divide both sides by 50 mph

time = (400 miles)/(50 mph) = 8 hrs

time = 8 hrs
8 0
3 years ago
Read 2 more answers
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