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vlabodo [156]
2 years ago
7

Find the area of the shaded region in the circle at right.

Mathematics
1 answer:
Alika [10]2 years ago
4 0
The correct answer is C 48cm^2
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Write a quadratic function for each graph described.
user100 [1]

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

6 0
3 years ago
What is the end behavior? 10 points!!
Colt1911 [192]

Given:

The given function is:

f_1(x)=-3\cdot 2^{x-5}-4

The graph of the function is given.

To find:

The end behavior of the given function.

Solution:

We have,

f_1(x)=-3\cdot 2^{x-5}-4

From the given graph it is clear that the function approaches to -4 at x approaches negative infinite and the function approaches to negative infinite at x approaches infinite.

f_1(x)\to -4 as x\to -\infty

f_1(x)\to -\infty as x\to \infty

Therefore, the end behaviors of the given function are:

f_1(x)\to -4 as x\to -\infty

f_1(x)\to -\infty as x\to \infty

4 0
3 years ago
Look at the graph .which is the relationship between x and y PLSSS HURRY (100 POINTS
skelet666 [1.2K]

Answer:

it is B

Step-by-step explanation:

6 0
2 years ago
Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship ​. NEED HELP PLEASE
gizmo_the_mogwai [7]

Answer:

y = \frac{4}{3} x + 17  

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, \frac{y_2-y_1}{x_2-x_1}. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}

Thus, the slope is \frac{4}{3}.

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

The m represents the slope of the equation, so substitute it for \frac{4}{3}. The b represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

y = \frac{4}{3} x + 17

7 0
2 years ago
Is 9x=270 addition property of equality or symmetric property?
Ede4ka [16]
This is the symmetric property, for you divide 9 to both sides to get x, instead of adding (addition property of equality)

So symmetric property should be your answer
Hope this helps
7 0
3 years ago
Read 2 more answers
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