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2 years ago

Which point satisfies the system of equations y = 3x − 2 and y = -2x + 3?

Mathematics

1 answer:

Elodia [21]2 years ago

8 0

Meet of lines: y = 3x − 2 and y = -2x + 3?

y=3x-2 has slope 3 and y intercept -2 (which means thru (0,-2)) , so that's the blue line through point D.

y=-3x+3 has slope -2 and y intercept 3, so the red line through points A, C and D.

The point D(1,1) is the intersection of the lines. Let's check that algebraically:

3x-2=3(1)-2=1=y, good

-2x+3 = -2(1)+3=1=y, good

Answer: D

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Which best describes the scatter plot.

Alexus [3.1K]

Answer:

Either strong positive or moderate positive

Step-by-step explanation:

not sure but would guess strong

3 0

2 years ago

Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col

MrRissso [65]

Answer:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

Step-by-step explanation:

We are required to find a unit vector in the direction of:

$\left[\begin{array}{c}-8\\7\\2\end{array}\right]$

Unit Vector, $\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}$

The Modulus of $\overrightarrow{a}$ = $\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}$

Therefore, the unit vector of the matrix is given as:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

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3 years ago

A particular Spotify playlist contains 105 songs, of which 10 are by the Beatles. Suppose the shuffle feature is used to play th

katovenus [111]

Answer: The required probability is 0.3296.

Step-by-step explanation:

Since we have given that

Number of songs = 105

Number of songs are by the Beatles = 10

So, Number of songs are not by the Beatles = 105-10=95

So, the probability that the first Beatles song heard is the fifth song played is given by

$\dfrac{^{95}C_4\times ^{10}C_1}{^{105}C_5}\\\\=0.3296$

Hence, the required probability is 0.3296.

8 0

3 years ago

40 points! Find the distance UV between the points U(2,−2) and V(−5,−3). Round your answer to the nearest tenth, if necessary.

puteri [66]

Answer:

7.1

Step-by-step explanation:

Using the distance formula

d = sqrt ( (x2-x1)^2 + ( y2-y1)^2)

sqrt ( (-5-2)^2 + ( -3- -2)^2)

sqrt( ( -7)^2 + ( -3 +2)^2)

sqrt( ( 49 + 1)

sqrt( 50)

7.071067812

To the nearest tenth

7.1

8 0

3 years ago

Read 2 more answers

US THE DISTRIBUTIVE PROPERTY TO ANSWER

Svetradugi [14.3K]

Answer:

1. -6t - 18

2. 21n - 14

3. -28 + 7t

4. 5m - 30

5. -48 + 8c

6. -15y -24

Step-by-step explanation:

Hope this helps!!!

3 0

2 years ago