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Doss [256]
3 years ago
7

USING THE GRAPH DETERMINE THE COORDINATES OF THE X INTERCEPT OF THE PARABLOA​

Mathematics
1 answer:
mart [117]3 years ago
4 0

Answer: this parabola has 2 x intercepts witch are -4,0 and -8,0

Step-by-step explanation: an x intercept is when y is 0

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What is negative 5/12 plus negative 1/4 plus 3/12
shtirl [24]
-5/12 + (-1/4) + 3/12
Find the least common denominator.
-5/12 - 3/12 + 3/12
Combine like terms.
-5/12 is your final answer.
6 0
3 years ago
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Evaluate x-(-y) where x=-2.31 and y=5.9.
kondaur [170]

Answer:

3.59

Step-by-step explanation:

4 0
4 years ago
What is the equation of the line of best fit for the following data? Round the
Svet_ta [14]

Answer:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4

And the slope would be:

m=\frac{45.4}{50.8}=0.8937 \approx 0.894

Now we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8

\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4

And we can find the intercept using this:

b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535

So the line would be given by:

y=0.894 x +0.535

And the best option is:

A. y = 0.894x + 0.535

Step-by-step explanation:

We have the following dataset given

x: 5,6,9,10,14

y: 4,6,9,11,12

We want to find the least-squares line appropriate for this data given by this general expresion:

y = mx +b

Where m is the slope and b the intercept

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 44

\sum_{i=1}^n y_i =42

\sum_{i=1}^n x^2_i =438

\sum_{i=1}^n y^2_i =398

\sum_{i=1}^n x_i y_i =415

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=438-\frac{44^2}{5}=50.8

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=415-\frac{44*42}{5}=45.4

And the slope would be:

m=\frac{45.4}{50.8}=0.8937 \approx 0.894

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{44}{5}=8.8

\bar y= \frac{\sum y_i}{n}=\frac{42}{5}=8.4

And we can find the intercept using this:

b=\bar y -m \bar x=8.4-(0.894*8.8)=0.535

So the line would be given by:

y=0.894 x +0.535

And the best option is:

A. y = 0.894x + 0.535

4 0
4 years ago
Find the x- and y-intercepts 3x+y=5
vlada-n [284]

The x - intercept is (\frac{5}{3}, 0) and y - intercept is (0, 5)

<h3><u>Solution:</u></h3>

Given that : 3x + y = 5

<em><u>To find: x - intercept and y -intercept</u></em>

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

3x + 0 = 5

3x = 5

x = \frac{5}{3}

Therefore the x - intercept is (\frac{5}{3}, 0)

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

3(0) + y = 5

y = 5

Therefore y - intercept is (0, 5)

6 0
3 years ago
2/3 - 10/9and5/3 and 7/9
agasfer [191]

Step-by-step explanation:

always Pythagoras with the coordinate differences as sides and the distance the Hypotenuse.

c² = (2/3 - 5/3)² + (-10/9 - -7/9)² = (-3/3)² + (-10/9 + 7/9)² =

= (-1)² + (-3/9)² = 1 + (-1/3)² = 1 + 1/9 = 10/9

c = sqrt(10)/3

7 0
4 years ago
Read 2 more answers
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