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Alisiya [41]
3 years ago
7

Write in slope intercept form. 15x − 4y = 11

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0

Answer:

y = 15/4x - 11/4

Step-by-step explanation:

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Determine all real values of p such that the set of all linear combination of u = (3, p) and v = (1, 2) is all of R2. Justify yo
Rama09 [41]

Answer:

p ∈ IR - {6}

Step-by-step explanation:

The set of all linear combination of two vectors ''u'' and ''v'' that belong to R2

is all R2 ⇔

u\neq 0_{R2}      

v\neq 0_{R2}

And also u and v must be linearly independent.

In order to achieve the final condition, we can make a matrix that belongs to R^{2x2} using the vectors ''u'' and ''v'' to form its columns, and next calculate the determinant. Finally, we will need that this determinant must be different to zero.

Let's make the matrix :

A=\left[\begin{array}{cc}3&1&p&2\end{array}\right]

We used the first vector ''u'' as the first column of the matrix A

We used the  second vector ''v'' as the second column of the matrix A

The determinant of the matrix ''A'' is

Det(A)=6-p

We need this determinant to be different to zero

6-p\neq 0

p\neq 6

The only restriction in order to the set of all linear combination of ''u'' and ''v'' to be R2 is that p\neq 6

We can write : p ∈ IR - {6}

Notice that is p=6 ⇒

u=(3,6)

v=(1,2)

If we write 3v=3(1,2)=(3,6)=u , the vectors ''u'' and ''v'' wouldn't be linearly independent and therefore the set of all linear combination of ''u'' and ''b'' wouldn't be R2.

7 0
3 years ago
A store sells grape jelly in 16-ounces jars for $ 4.68. How much is the jelly per ounce?
guajiro [1.7K]

Answer:

.29 per ounce

Step-by-step explanation:

divided the cost by the amount

4.68/16

5 0
3 years ago
Read 2 more answers
Translate: 6 less than twice a number
Basile [38]

Answer:

2x-6

Step-by-step explanation:

twice a number is

2\times x\\\\=2x

6 less than twice a number is

6 less than 2x and that is

2x-6

6 0
3 years ago
Which line plot displays a data set with an outlier?
Westkost [7]

Answer: See attached, the top right

Step-by-step explanation:

      <u>What is an outlier?</u> An outlier, in a data set, is a data value that is outside the overall pattern of distribution.

   This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.

8 0
1 year ago
Read 2 more answers
Jia is tiling a floor. The floor is a square with side
NNADVOKAT [17]

Answer:

36 tiles

Step-by-step explanation:

First, find area of the square floor knowing the formula as;

Area= s^{2}

where s= side of a square.

If one side of the floor is 12 feet, then Area= 12^{2} = 144ft^{2}

Next, find the area of each tile using the same formula and given s=2 feet;

Area(tile) = 2^{2} = 4ft^{2}

To find the number of tiles needed to cover entire floor, divide area of the floor by area of one tile; 144 / 4 = 36 tiles

5 0
3 years ago
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