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Viktor [21]
3 years ago
7

NEED HELP NOW. I need help finding the x-intercepts.

Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

To find the x-intercepts we can write:

0 = -1/2(x + 3)² + 4

0 = -1/2(x² + 6x + 9) + 4

0 = -1/2x² - 3x - 9/2 + 4

0 = -1/2x² - 3x - 1/2

0 = x² + 6x + 1

x = -3 ± 2√2 (use quadratic formula)

As a decimal this can be written as x = -5.83, x = -0.17.

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Evaluate the expression when x = 3.<br><br> x² + 6x - 3
Black_prince [1.1K]

Answer:

X=3

{3}^{2}  + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\  = 24

3 0
2 years ago
pranav's school is selling tickets to a play. On the first day of tickets sales the school sold 8 adult tickets and 4 child tick
viva [34]
Adult tickets are $8 and child tickets are $4
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3 years ago
Determine the slope of the line passing through the given points (1,2) and (2,-1)
alex41 [277]
I hope this helps you



slope=y2-y1/x2-x1



slope=2-(-1)/1-2


slope=3/-1


slope= -3
3 0
3 years ago
Read 2 more answers
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
enyata [817]
You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

1) Slope

Remember that the slope-intercept equation form is y = mx + b where m is the slope and b is thye y-intercept.

If you clear y in every equation you get:

a) y = (3/4)x + 17/4 => slope = 3/4

b) y = (3/4)x + 20/4 = (3/4)x + 5 => slope = 3/4

c) y = -(4/3)x - 2/3 => slope = -4/3

d) y = (-4/3)x - 6/3 = (-4/3)x - 2 => slope = -4/3

So, you just have to compare the slope of the given line with the above slopes to see which equations are candidates.

2) Point (-3,2)

You  must verify which equations pass through the point (-3,2).

a) 3x - 4y = - 17

3(-3) - 4(2) =  -17
- 9 - 8 = - 17
- 17 = - 17 => it is candidate

b) 3x - 4y = - 20

- 17 ≠ - 20 => it is not candidate

c) 4x + 3y = - 2

4(-3) + 3(2) = - 2
-12 + 6 = - 2
-6 ≠ -2 => it is not candidate

d) 4x + 3y = - 6

   -6 = - 6 => it is candidate

3) So, the point (-3,2) permits to select two candidates

3x - 4y = - 17, and 4x + 3y = -6.

4) Yet you have to find the slope of the given equation, if it is 3/4 the solutions is the equation 3x - 4y = -17; if it is -4/3 the solution is the equation 4x + 3y = -6.
6 0
3 years ago
Read 2 more answers
Which expression can be simplified to find the slope of the trend line in the scatterplot?
Maslowich

Answer:

1. \frac{24-79}{12-2}

Step-by-step explanation:

We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.

Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.  

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}  

We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.    

x_1=2

x_2=12

y_1=79

y_2=24

\text{Slope}=\frac{24-79}{12-2}

Therefore, the expression \text{Slope}=\frac{24-79}{12-2} can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.

7 0
3 years ago
Read 2 more answers
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