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KengaRu [80]
2 years ago
5

PLEASE HELP WORTH 25 POINTS!!!

Mathematics
1 answer:
nata0808 [166]2 years ago
8 0

Answer:

a. (0, -2)

b. (1, -2)

c. (2, -2)

d. (3, -2)

e. (4, -2)

f. The y-value of the coordinate is always -2. The x-value of the coordinate is always what x is stated to equal.

Step-by-step explanation:

Since the linear equation y = -2 doesn't have a slope, it will be shown as a continuous horizontal line along, touching the y-axis at it's -2 unit.

Same could be said with the various x-equations, except they will be shown as continuous vertical lines.

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Evaluate x2 + 3x ; x = -3
stepladder [879]
The answer would be -15
5 0
3 years ago
A group of winning ticket holders share equally 90,000,000 lottery. Before the money is divided, three more winning ticket holde
Kruka [31]

Let's assume

people were in the original group of winners as x

A group of winning ticket holders share equally 90,000,000 lottery

Before the money is divided, three more winning ticket holders are declared

so, total number of winning tickes =x+3

each persons share is reduced to 5,000,000

so, total money =5,000,000*(x+3)

and this must be equal to total money

5000000(x+3)=90,000,000

now, we can solve for x

and we get

x+3=18

Subtrac both sides by 3

x+3-3=18-3

x=15

so,

number of people were in the original group of winners is 15 ...........Answer

6 0
3 years ago
What equation results from completing the square and factoring x2+2×=9
Arturiano [62]
The answer should be A. If you need work I can show you. 
5 0
3 years ago
1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.
LekaFEV [45]

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P(1+\frac{r}{n})^{nr}, where

  • A is the new amount
  • P is the initial amount
  • r is the interest rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000(1+\frac{0.1}{1})^{1(3)}

∴ A = 25000(1.1)^{3}

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

6 0
2 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
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