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3 years ago

Find the equation in the slope intercept form of a line that goes through the point (2,-6) and has the slope of (-1/3)

Mathematics

1 answer:

Llana [10]3 years ago

8 0

Answer:

y = -1/3x - 5 1/3

Step-by-step explanation:

Slope Intercept =

y=mx + b

Substitute the Slope

y= -1/3x + b

Substitute x and y from the point into the equation

-6 = -1/3(2) + b

-6 = -2/3 +b

Isolate the b with the addition property of equality

-5 1/3 = b

Substitute all variables

y = -1/3x - 5 1/3

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Anvisha [2.4K]

You can obtain the a number for which they all divisors by calculating the least common multiple.

This way:

85 = 5*17*1
17=17*1
19=19*1
4=2^2 *1
2=2*1

The least common multiple is: 5*17*19*2^2 = 6,460.

Then 84, 17, 19, 4 and 2 are all divisors of 6,460.

6 0

3 years ago

HOW CAN YOU WRITE 10/3 AS A DIVISION EXPRESSION AND AS A MIXED NUMBER?

Anni [7]

Answer: 10.3 would be a mixed number

Step-by-step explanation:

Divide 12 into 46. You get 3 with a remainder of 10. 3 is the whole number of the mixed number, 10 is the numerator of the fraction, and 12 is the denominator. The fraction can be reduced to 5/6.

5 0

2 years ago

Th the mean of the data is set 15 what number is missing<br> 18,16_,9,12,23

Wittaler [7]

Answer:

The missing number on the given data set is 12.

Step-by-step explanation:

Here, the set of data = 18,16_,9,12,23

Let us assume the missing number in the data = m

The mean of the data = 15

Total number of observations = 6

Now, Sum of the data = 18 + 16 + m + 9+ 12+ 23 = 78 + m

Also, $\textrm{ Mean of the given Data} = \frac{\textrm{Sum of all observation in the data}}{\textrm{Total number of observations}}$

$\implies 15 = \frac{78+ m}{6} \\or, 15(6) = 78 + m\\\implies m = 90 -78 = 12$

or, m = 12

Hence, the missing number on the given data set is 12.

3 0

3 years ago

Someone help please❤️ & Thankyou!!

S_A_V [24]

Answers:

300 = 12i+36s
i = 10
Yes it's reasonable
i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.