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Ne4ueva [31]
3 years ago
13

(Answer needed quickly)What is the y-intercept of this graph?

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

the y intercept is (0,2)

Step-by-step explanation:

You might be interested in
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
Y = 4x + 3
Igoryamba
D) perpendicular!
A perpendicular's definition is: a straight line at an angle of 90° to a given line, plane, or surface.
And if you mark them on a graph you could see these two are opposite of each other.
3 0
3 years ago
Read 2 more answers
Mei does 6 problems in 18 minutes. How many can she complete in 12 minutes
Dmitriy789 [7]
Do cross multiplication

  <u>6</u>  =  <u>x</u>
 18    12

Now cross multiply

(6)(12) = (18)(x)

       72 = 18x

Divide both sides by 18
     
    
     <u>72</u>  = <u>18x</u>
     18      18

      4   = x

So tMei can complete 4 problems in 12 minutes.

5 0
3 years ago
Find the slope of the line that passes through the pair of points.
d1i1m1o1n [39]

Answer:

-7/5

Step-by-step explanation:

8 0
3 years ago
Who started the problem correctly? The problem form is (-5) - (-1 3/4).
Veronika [31]

Answer:

Shane started the problem correctly

Step-by-step explanation:

We are given problem (-5) - (-1 3/4).

Mariah started the problem as (-5) + 1 - 3/4

Shane started the problem as (-5) + 1 + 3/4

We need to find who started the problem correctly.

The problem should be started by converting the mixed fraction into improper fraction i,e

-5-(-1\frac{3}{4})\\=-5-(-1-\frac{3}{4} )\\=-5-(-\frac{7}{4})

Now we will solve bracket by multiplying -1 with term inside the bracket i.e

=-5+\frac{7}{4}

= \frac{-13}{4}

Let's compare both the procedures now:

Mariah:

(-5) + 1 - \frac{3}{4}

=(-5) - \frac{1}{4}

=\frac{-21}{4}

Therefore, Mariah did not start the problem correctly.

Shane:

(-5) + 1 + \frac{3}{4}

= -5 + \frac{7}{4}

= \frac{-13}{4}

Therefore, Shane started the problem correctly.

6 0
2 years ago
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