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maks197457 [2]
3 years ago
10

Graph. y−2=2/3(x+4) Use the Line Tool and select two points to graph the equation. Use the slope and the point provided in the e

quation.

Mathematics
1 answer:
Darya [45]3 years ago
6 0
Based on the equation, the coordinate point is (-4, 2). It is -4 because in the original equation, it's -x_{1}, but because it's positive, that must mean it was originally a negative. Why? Because a negative times an negative equals a positive.

Now, let's convert this to Slope-Intercept Form.

y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3

The slope of the line is 2/3 and the original point was (-4, 2).

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7 0
2 years ago
Orange juice is sold in cartons in three different size 350 ml selling price $4.20 450 ml selling price $5.35 500 ml selling pri
Lady bird [3.3K]

Answer:

I think it is the $4.20 because if you do the math technically the 4.20 is less for more

Step-by-step explanation:

4 0
3 years ago
Please help me out on this :(( struggling !
Yuki888 [10]

Answer:

answer is B

Step-by-step explanation:

step by step explanation

3 0
3 years ago
What is the surface area of the prism?
dimaraw [331]

To get the answer type 2•4•3+2•4•2+2•3•2

in to a calculator And you’ll get “52m”

5 0
3 years ago
Read 2 more answers
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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