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erica [24]
3 years ago
13

Graph the libne with a Y intercept of -2 and slope of -1/3 what is the X intercept of the line

Mathematics
1 answer:
sladkih [1.3K]3 years ago
4 0

Answer:

y = -1/3x -2

x-intercept = -6

Step-by-step explanation:

Slope = -1/3

y-intercept = -2

Substitute values into slope intercept form ;

y =mx +b

Where ; m = slope

b =y-intercept

Equation =

y = -\frac{1}{3} x -2

Now graph the equation

x-intercept = ?

y = -\frac{1}{3} x -2

Arrange in standard form and Let y = 0

y = -\frac{1}{3} x -2\\\\\frac{1}{3} x +y =-2\\\\\frac{1}{3} x +0=-2\\\\\frac{1}{3} x =-2

Cross Multiply

x \times 1 = 3\times -2\\\\x = -6\\\\=(-6,0)

So , (-6,-2)

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A teacher asks four students to solve the expression (-6) – 9. The table shows each student's response
vagabundo [1.1K]

Answer:-15 is correct

Step-by-step explanation:

(-6)-9 is the same as -6-9 since parenthesis aren’t really needed in thins case and if you use the order of operations you go left to right. So, -6-9=-15 because a negative- a negative= a negative.

7 0
3 years ago
Given that is directly proportional to (p-1)2 and p is always positive, find the
Arturiano [62]

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

4 0
3 years ago
The prices for different lengths of ribbon sold at a fabric store are shown in the table.
PolarNik [594]

Answer:

B. This relationship represents a function because no length of ribbon has more than one price.

Step-by-step explanation:

A relation is considered as a function when there is exactly just one possible range value that any of the domain value can give. In order words, each domain value of a function cannot have more than one range value.

In the given table of values representing the length and price of ribbon, the domain includes all the set of lengths of the ribbon while the range is the set of the corresponding prices the lengths can cost.

Thus, each length given has exactly just one price. No particular length has more than one price. Therefore, we can consider this as a function.

3 0
3 years ago
The probability of a chance event is 0.5, it is
NikAS [45]

Answer:

75%

Step-by-step explanation: i know the answer

4 0
3 years ago
Luis has a pyramid shaped plant pot. It has a square base with a side length of 36 cm, and the height of the pot is 36 cm. Luis
umka21 [38]

Answer:

The required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

Step-by-step explanation:

The volume of a pyramid is given as

V = \frac{1}{3} \times A \times h

Where V is the pot's volume, A is the base area and h is the height.

Our base is a square, so the base area, if s denotes the side length, would be s x s.

s = 36cm, therefore we have A = 36cm X 36cm = 1296cm².

The height is given as 36cm, therefore we have our volume to be:

V = \frac{1}{3} \times 1296cm^2 \times 36cm

V = 15552cm^3

Since Luis wants to fill 75% of the pot's volume with soil. Then it will take

\frac{75}{100} \times 15552cm^3 = 11664cm^3

Thus, the required volume, if he wants to fill 75% of the pot's volume, is 11664cm³

7 0
2 years ago
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