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Ludmilka [50]
3 years ago
15

Solve the system of equations x=y-4

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

Answer:

(-(23/3), -(11/3))

Step-by-step explanation:

x=y-4

2x-5y=3

=====

2x-5y=3

2(y-4)-5y=3 [Substitute (y-4) for x in the 2nd equation]

2y - 8 -5y = 3

-3y = 11

y = -(11/3)

y = -3 2/3

Use this in the 1st equation to find x:

x=y-4

x=-(11/3)-4

x = -(11/3)-(12/3)

x = -(23/3)

x = -7 2/3

See graph attached.

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maksim [4K]

9514 1404 393

Answer:

  none

Step-by-step explanation:

The equations describe curves that do not intersect. There are no real solutions.

_____

<em>Additional comment</em>

The system is consistent, not dependent, and of degree 2, so there will be two solutions. There are no real solutions, so the two solutions are complex: (-2i, 4-2i) and (2i, 4+2i).

7 0
3 years ago
Consider the function f(x) = 3x2 + 7x + 2.
olga nikolaevna [1]
The discriminant:
D = b² - 4 a c = 7² - 4· 3 · 2 = 49 - 24 = 25 
D > 0 This function has 2 x-intercepts ( 2 zeroes ).
x 1 = (-7+5)/6 =-1/3
x 2 = (-7-5) / 6 = - 2 
5 0
3 years ago
Read 2 more answers
What were the dimensions of the original photo?
never [62]

Answer:

11 inches by 11 inches

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • The area of the reduced photo is 64 square inches
  • The equation (x-3)^{2}= 64 where x is the  the side measure of the  original photo.

Let us solve for x by taking positive square root of both sides.\

\sqrt{(x-3)^2}=\sqrt{64}\\\sqrt{(x-3)^2}=\sqrt{8^2}\\x-3=8

<=> x = 11

So the dimensions of the original photo is 11  inches by 11 inches

We choose A

Hope it will find you well.

6 0
4 years ago
you use q line of best fir for a set of data to make a prediction about an unknown value. the correlation coefficient for your d
Ganezh [65]

Correlation coefficients are expressed by a number between -1 and 1.

If the value is -1 or 1 it indecates a perfect (negative and positive) correlation.

If the value is 0 indicates null correlation.

As the correlation value for you data set is -0.833 it is very close to the -1. It indicates a good correlation in the data. Then, the value you predicted is reasonably close to the actual value.

6 0
2 years ago
Amalia and Alec are studying the growth of a plant over time. They measure the height of the plant at the end of each week for s
EleoNora [17]

After 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\rm c = \dfrac{\sum y -m \sum x}{n}

We have a line of best fit:

y = 2.5 + 1.25x

Plug x = 7 weeks

y = 2.5 + 1.25(7)

y = 11.25 units

Thus, after 7 weeks the plant will 11.25 units tall if the equation for the best-fit line to be y = 2.5 + 1.25x.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

3 0
3 years ago
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