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3 years ago

What is the function rule for the line?

Mathematics

1 answer:

frez [133]3 years ago

4 0

Answer: f(x) = -3/2x -2

Step-by-step explanation:

Slope form of a line is y=mx+b, where b is the y-intercept and m is the slope. We find the y-intercept when we look at when x is 0 which would be -2. The slope is graphing to plots and determining if the slope is positive- going up- or negative- going down. The slope is going down and after using y2 - y1 / x2 - x1, I found the slope was -3/2.

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What are the x-intercepts ?

NeTakaya

Answer:

(3,0),(2,0)

Step-by-step explanation:

6 0

3 years ago

) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

7 0

2 years ago

Dr bell donated 2(3x+60) dollars to the salvation army, 5x dollars to the church and $100 to a sport shop. If he donated a total

Andreyy89

He donated $285 to the salvation army.
The first thing to do is solve for "x". The equation would be {2(3x+60)}+5x+100=550.
Then, you would multiply 2 with 3x and 60. Your new equation would be 5x+120+5x+100=550.
Next, you would combine like terms. This means to combine the terms that are similar. In this case, it would be the whole numbers and the numbers with the variable. Your new equation would be 10x+220=550.
After that, you subtract 220 on both sides of the equal sign. This makes the equation 10x=330.
Then, you divide ten on both sides of the equal sign, giving you x=33.
The second things to is replace the x with 33. The amount for the salvation army is 5x+120. Replacing 33 with x, your final equation will be 165+120=$285.

Have a great day!!! :)

5 0

3 years ago

Which inequality represents all values of x for which the quotient below is<br> defined?

garri49 [273]

Answer:

Option B: x > 0

Step-by-step explanation:

Option A is wrong because $\sqrt{3(0)}$ will be 0. So, the inequality can't be divided by 0.

Option C is wrong because 1 will suffice this inequality. $\sqrt{7}/\sqrt{3}=1.5 (approx)$

Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).

Leaving us with only option B, which is the right answer.

7 0

2 years ago

Ammar hikes 2 3/4 miles of nature trail in 1 hour15 minutes. How many miles of trail does am mar hike per hour

AleksandrR [38]

Change 1 hour 15 minutes = 1.25 hour because 15 ÷ 60 = 0.25 so we add 0.25 hour and change 2 3/4 to 2.75
Equation: $\frac{2.75}{1.25}= \frac{?}{1}$
Multiply 2.75 × 1 = 2.75 ÷ 1.25 = 2.2 miles
I'm pretty sure this is correct

4 0

2 years ago