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3 years ago

Y=x²-4x+6 y=x+2 Please help

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

7 0

Answer:

(1, 3), (2, 4).

Step-by-step explanation:

y= x² - 4x + 6

y = x + 2

Substitute for y in the first equation:

x + 2 = x²- 4x + 6

x^2 - 5x + 4 = 0

(x - 1)(x - 4) = 0

x = 1, 4

When x = 1 , y = 1 + 2 = 3.

When x = 4, y = 4 + 2 = 6.

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lara31 [8.8K]

Answer:

Step-by-step explanation:

no. of Classes = x

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5 0

3 years ago

Read 2 more answers

Pls help asap<br>AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter

AleksAgata [21]

Answer:

$\boxed{ \tt{x = 4}}$

Step-by-step explanation:

$\frac{3}{x} = \frac{6}{8} \\ 6x = 24 \\ x = 4$

4 0

3 years ago

Help it’s slope idk how to do it

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

The y-intercept can be found setting $x=0$ . So, from our equation: