Look at picture for the question.

3. What are the intersection points of the line whose equation is y=3x +3 and the

densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

→ (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = $\frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}$

x = $\frac{-7\pm \sqrt{169}}{10}$

x = $\frac{-7\pm13}{10}$

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0

3 years ago

Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. write yo

Mrrafil [7]

Missing data:

Viewer's Age Group Excellent Good Average Poor Marginal Total

16–25 52 42 12 7 113

26–35 33 50 5 9 97

36–45 58 12 28 34 132

46–55 25 17 22 12 76

56 + 12 5 3 8 28

Marginal Total 180 126 70 70 446

A rating of good or excellent indicates the audience liked the movie, while a rating of poor indicates the audience disliked the movie.

<h3>How to determine the rating of the film from the 46–55 age group?</h3>

A movie producer accomplished a survey behind a preview screening of her latest movie to estimate how the film would be accepted by viewers from various age groups. The table displays the numbers of viewers in various age groups who ranked the film excellent, good, average, and poor.

25/446 = 0.05605

0.05605 $*$ 100% = 5.605%

Out of the entire respondents, the percentage of respondents from the 46–55 age group who ranked the film excellent exists at 5.605%.

To learn more about data refer to:

brainly.com/question/4219149

#SPJ4

3 0

2 years ago

Subtract.

3241004551 [841]

Answer:

405

Step-by-step explanation:

5 0

2 years ago

There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored p

vodka [1.7K]

Let be "x" the number of colored pencils in the box.

According to the information given in the exercise, there are 84 pencils in the box and 53 of them are regular pencils.

Knowing this information, you can set up the following equation:

$x+53=84$

Finally, you have to solve for the variable "x" in order to find its value. In order to do this, you can apply the Subtraction property of equality by subtracting 53 from both sides of the equation:

$\begin{gathered} x+53-(53)=84-(53) \\ x=31 \end{gathered}$

The answer is: There are 31 colored pencils in the box.

7 0

1 year ago

70, 000 grams= kilograms

Vesnalui [34]

70,000 grams is 70 kilograms

8 0

3 years ago

Read 2 more answers