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Irina18 [472]
3 years ago
15

Write each of the following as a polynomial in descending powers of its variable

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0
1. 7x(x + 3)
    7x(x) + 7(3)
    7x² + 21

2. (7x + 1)(x + 3)
    7x² + 21x + x + 3
    7x² + 22x + 3

3. (x² + x)²
    (x² + x)(x² + x)
   x^4 + x³ + x³ + x²
   x^4 + 2x³ + x²
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Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + y = 11 -x = -y - 9
suter [353]
x+y=11 \\
-x=-y-9 \\ \\
\hbox{substitute the second equation by -1} \\ \\
x+y=11 \\
x=y+9 \\ \\
\hbox{substitute y+9 for x in the first equation} \\ \\
y+9+y=11 \\
2y=11-9 \\
2y=2 \\
y=\frac{2}{2} \\
y=1 \\ \\
x=y+9 \\
x=1+9 \\
x=10 \\ \\
(x,y)=(10,1)

The answer is B.
5 0
3 years ago
Read 2 more answers
Suppose the speeds of vehicles traveling on a highway are normally distributed and have a known population standard deviation of
erik [133]

Answer:

2.88

Step-by-step explanation:

Data provided in the question

\sigma = Population standard deviation = 7 miles per hour

Random sample = n = 32 vehicles

Sample mean = \bar X = 64 miles per hour

98% confidence level

Now based on the above information, the alpha is

= 1 - confidence level

= 1 - 0.98

= 0.02

For \alpha_1_2 = 0.01

Z \alpha_1_2 = 2.326

Now the margin of error is

= Z \alpha_1_2 \times \frac{\sigma}{\sqrt{n}}

= 2.326 \times \frac{7}{\sqrt{32}}

= 2.88

hence, the margin of error is 2.88

5 0
3 years ago
The double number line shows that in 2 minutes, Pogo the dog can fetch a Frisbee 6 times.
Zolol [24]

Answer:

12 times (double the times since we are doubling the minutes)

Step-by-step explanation:

2/6 = 4/x

Use cross multiplication

2x = 6*4

2x = 24

x = 12

5 0
3 years ago
Read 2 more answers
I don't really understand this??....​
Mila [183]

Answer:

Part 1

its asking you to find the slope of the given lines by using the points that they have plotted on the lines

first you need to figure out what the points are, then insert it into the formula

the formula for this would be \frac{Y2- Y1}{X2-X1}

Part 2:

its asking you to find the slope using the points that are written in each box

again, just substitute it into the formula

the formula for this would be \frac{Y2- Y1}{X2-X1}

5 0
3 years ago
a beekeeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent th
Soloha48 [4]

Answer:

Exponential functions!

Step-by-step explanation:

I think what you are dealing with is an exponential function!

So, to solve this, we need to first understand the main form of an exponential function:

f(x)=a*b^{x}

Where a is the number we start off with, and b is the constant thing(forgot what it was called).

Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!

Also, defining variables:

Let f(x)= # of Bees

Let x= # of years

Thus, here is our equation:

f(x)=150*3^{x}

So, that's it!

Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)

Stay Safe!

4 0
3 years ago
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