26t7abtrand sa b-7 soln

F(4)= ______

ArbitrLikvidat [17]

Answer:

f(4) = -11

If g(x) = 2 then x = 0

Step-by-step explanation:

here it asks to determine graphically, so we need to use the provided graph:

f(4) = -11 ( just notice the y-coordinate of the point of x-coordination 4)

If g(x) = 2 then x = 0 (just notice the x-coordinate of the point of y-coordination 2)

8 0

2 years ago

g A window is being built and the bottom is a rectangle and the top is a semi-circle. If there is 12 meters of framing materials

photoshop1234 [79]

Answer:

Semicircle of radius of 1.6803 meters

Rectangle of dimensions 3.3606m x 1.6803m

Step-by-step explanation:

Let the radius of the semicircle on the top=r

Let the height of the rectangle =h

Since the semicircle is on top of the window, the width of the rectangular portion =Diameter of the Semicircle =2r

The Perimeter of the Window

=Length of the three sides on the rectangular portion + circumference of the semicircle

$=h+h+2r+\pi r=2h+2r+\pi r=12$

The area of the window is what we want to maximize.

Area of the Window=Area of Rectangle+Area of Semicircle

$=2hr+\frac{\pi r^2}{2}$

We are trying to Maximize A subject to $2h+2r+\pi r=12$

$2h+2r+\pi r=12\\h=6-r-\frac{\pi r}{2}$

The first and second derivatives are,

Area, A(r) $=2r(6-r-\frac{\pi r}{2})+\frac{\pi r^2}{2}}=12r-2r^2-\frac{\pi r^2}{2}$

Taking the first and second derivatives

$A'\left( r \right) = 12 - r\left( {4 + \pi } \right)\\A''\left( r \right) = - 4 - \pi$

From the two derivatives above, we see that the only critical point of r

$A'\left( r \right) = 12 - r\left( {4 + \pi } \right)=0$

$r = \frac{{12}}{{4 + \pi }} = 1.6803$

Since the second derivative is a negative constant, the maximum area must occur at this point.

$h=6-1.6803-\frac{\pi X1.6803}{2}=1.6803$

So, for the maximum area the semicircle on top must have a radius of 1.6803 meters and the rectangle must have the dimensions 3.3606m x 1.6803m ( Recall, The other dimension of the window = 2r)

5 0

2 years ago

The pattern 7, 8, 10, ________, ________ follows the rule multiply by 2, then subtract 6. What are the next two terms?

Y_Kistochka [10]

Answer:

14 22

Step-by-step explanation:

i think it is

4 0

2 years ago

Read 2 more answers

Please I got 25 Brainly points (03.03)

MAVERICK [17]

The slope of the function, f(x) can be determined by choosing two sets of ordered pairs from the table and substituting their values into the slope formula.

Let (x1, y1) = (0, -1)
(x2, y2) = (1, 7)

Plug these values into the slope formula:

m = (y2 - y1)/(x2 - x1)

m = [7 - (-1)] / [1 - 0]
m = (7 + 1) / 1
m = 8/1 or 8.

Therefore, the slope of f(x), m = 8.

The y-intercept of the function, f(x) is given by (0, -1), as it is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0.

The equation of the linear function, f(x) is:
f(x) = 8x - 1.

Given the slope-intercept form, y = mx + b, where m represents the slope of the line, and b represents the y-intercept:

The function, g(x) = 3x - 2 has a slope of 3, and y-intercept of -2.

Comparing the slope and y-intercept of the two functions, f(x) and g(x):

The slope of f(x), m = 8 is greater and steeper than the slope of g(x), m = 3. The y-intercept of f(x), b = -1 is greater than the y-intercept of g(x), b = -2.

Attached is a screenshot of the graph of both lines, including their y-intercepts. The blue line is g(x) = 3x - 2, and the red line is f(x) = 8x - 1.

Please mark my answers as the Brainliest if you find this helpful :)

7 0

2 years ago

In the general equation of a line, if A = 0, what will the graph of the line look like?

attashe74 [19]

It would be a zero slope

4 0

2 years ago

Read 2 more answers

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