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Scorpion4ik [409]
3 years ago
7

I don’t know how to do the first one

Mathematics
2 answers:
Tema [17]3 years ago
4 0

Answer:

10.9 people per square mile

Step-by-step explanation:

If you look at the chart, there are 41.5 people per square mile in Colorado and 52.4 people per square mile in Iowa. To find the answer, simply subtract:

52.4 - 41.5 = 10.9

Hatshy [7]3 years ago
4 0

Answer:

Hello!! The answer for #15 is 10.9 people per square mile.

Step-by-step explanation:

First, set up your equation. Then subtract left-to-right. You'll need to regroup! You can't subtract 5 from 4, so you'll need to take ten from 2. This will make your tenths place .9 and your tens place 0. Then just subtract 4 from 5 to get 1 in your ones place.


Hope this helped!!


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according to the fundemental theorem of algebra, how many roots exist for the polynomial function? f(x) = (x^3-3x+1)^2
Svetradugi [14.3K]

Answer:

6

Step-by-step explanation:

First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.

Expanding, we get

(x³-3x+1)²  = (x³-3x+1)(x³-3x+1)

= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1

= x^6 - 6x^4 + 2x³ +9x²-6x + 1

In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots

3 0
3 years ago
What does the value of y have to be so that<br> (3, y) and (-5,6) have a slope of -1 between them?
Natasha_Volkova [10]

Answer:

y= -2

Step-by-step explanation:

Please see attached picture for full solution.

(From the 4th to 5th line, I multiplied both sides by 8)

3 0
3 years ago
Find all solutions of the given system of equations and check your answer graphically. HINT [See Examples 1-4.] (If there is no
Likurg_2 [28]

Answer:

Infinitely\ many\ solutions\ exist.\\\\Solutions\ are\ (x,\frac{3}{4}x-1)

Step-by-step explanation:

Given\ equations\ are\\\\3x-4y=4.................eq(1)\\\\9x-12y=12..............eq(2)\\\\divide\ eq(2)\ by\ 3\\\\\frac{1}{3}(9x-12y=12)\\\\\Rightarrow 3x-4y=4\\\\Hence\ equations\ represent\ the\ same\ line.\\Hence\ Infinitely\ many\ solutions\ exist.\\\\3x-4y=4\\\\4y=3x-4\\\\y=\frac{3}{4}x-1\\\\Solutions\ are\ (x,\frac{3}{4}x-1)

3 0
3 years ago
Ivan has a $500 bond with a 5.8% coupon. Ivan purchased this bond for $515.
svetoff [14.1K]

Answer:

The yield is 5.974%

Step-by-step explanation:

We proceed as follows ;

coupon rate = Annual coupon payment/bond face value.

The face value is the original amount which the bond was bought and that is $515 according to the question. While the coupon rate is 5.8%

mathematically, annual coupon payment = coupon rate * bond face value = 0.058 * 515 = $29.87

mathematically;

current yield = Annual coupon payment/bond price

current yield = 29.87/500

= 0.05974 or simply 5.974%

so the answer is c. 5.6%

Step-by-step explanation:

3 0
3 years ago
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HELP THIS IS DUE IN 5 MINSSSSS! Mr. Viviano would like to report to the principal the smaller measure of center between the mean
sukhopar [10]

Answer:

The median. 80 because the mean is 80.454545

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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