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Tamiku [17]
3 years ago
14

What does the slope signify in this equation and why?​

Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

Answer:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.

Step-by-step explanation:

You might be interested in
Scar goes to the gym 4 times per week. Every time he walks 5 miles on the 4 points
steposvetlana [31]

Answer:

He walks 1,060 miles on the tremil in one year.

Step-by-step explanation:

4*5=20*53=1,060

There are 53 sometimes 52 weeks in a year,2020 wise 53 so 53*20=1,060 miles.

8 0
3 years ago
The Johnson twins were born five years after their older sister. This​ year, the product of the three​ siblings' ages is exactly
Mamont248 [21]

Answer:

13 years.

Step-by-step explanation:

Suppose, today, the Johnson twins' age is x years. Then the age of their elder sister will be (x + 5) years old. It is given that product of the three​ siblings' ages is exactly 2998 more than the sum of their ages. Therefore:

x + x + x + 5 + 2998 = (x)(x)(x + 5).

3x + 3003 = x^3 + 5x^2.

x^3 + 5x^2 - 3x - 3003 = 0.

To solve the question, factor theorem will be used. It states if any number c satisfies the equation f(c) = 0, then c is the factor of f(x). By observation, it can be seen that x = 13 can be a possible candidate for the factor of f(x). To verify, check f(13).

f(13) = 13^3 + 5(13^2) - 3(13) - 3003 = 2197 + 845 - 39 - 3003 = 0.

Since f(13) = 0, therefore x = 13 is the factor of f(x).

Now applying synthetic division:

Column 1       2       3       4            5

     13    |         1       5      -3        -3003  (Row 1)

______|______<u>  _13__234___3003</u>   (Row 2)

            |         1       18      231          0    (Row 3)

The method requires to write the coefficients of all the powers in the Row 1 on the right hand side of the table. Put the factor x = 13 on the left hand side of the table (Row 1 Column 1). The first step involves the second column elements to be added. Since there is only 1, thus there will be 1 below the line. Next step involves multiplying 1 with the factor (which is 13) and this will be the element for row 2 column 3. The add the elements of the column 3. The answer comes out to be -3. Repeat the above steps for the columns 4 and 5. The sum of the column 5 (the last column) should be 0, which is the case. The elements of the last row are actually the coefficients of the quadratic equation which is resultant from dividing f(x) by (x - 13). Thus:

x^2 + 18x + 231 = 0.

Using completing the square:

x^2 + 18 = -231.

(x)^2 + 2*(x)*(9) + (9)^2 = -231 + (9)^2.

(x + 9)^2 = -231 + 81.

(x + 9)^2 = -150.

Taking square root on both sides shows that rest of the 2 answers of this polynomial will be complex roots since square root of -150 does not exist in real numbers. Therefore, since the age is a real quantity and not a complex quantity, the age of the twins is 13 years!!!

8 0
3 years ago
Whats the correct answer answer asap
Volgvan

Answer: C.teaching music at an orphanage.

Step-by-step explanation: Antonio Vivaldi's music career was mainly spent in the Ospedale Della Pieta. Antonio Vivaldi sure did make a difference. composer and violinist all around Italy. It was in the year 1713 that he made the villa") in Vincenza. After his debut, in the year 1718, he continued to tour all different operas and concertos.

Antonio Lucio Vivaldi started his career in music by becoming a violin teacher at an orphanage for girls in Venice called ‘Ospedaledella Pieta’ in 1703.

7 0
1 year ago
Hi ! How to solve this question?
tester [92]

You should actually have

-x^2-4x-10=-(x^2+4x+10)=-(x^2+4x+4+6)=-((x+2)^2+6)=-(x+2)^2-6

Now, remember that x^2 is always non-negative, so (x+2)^2\ge0 for any value of x. This means -(x+2)^2\le0 for any x, and so

-(x+2)^2-6\le0-6=-6

i.e. f(x) is at most -6, and hence negative for all x.

4 0
3 years ago
Question 9 (10 points)
Slav-nsk [51]
The length is 5cm long
5 0
2 years ago
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