5 times {[ 9 + (2 times 3)]

The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p

sdas [7]

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.

3 0

3 years ago

Graph the function f(x)= 5x^5 + 4x^4 - 4x^3 - 7x^2 +6 by making a table of values.

aleksandr82 [10.1K]

Answer:

You can see the graph in the attached file.

Step-by-step explanation:

You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.

For example choose the value x = 0, then you can calculate the value of y:

$f(x) = 5x^{5} +4x^{4} - 4x^{3} -7x^{2} +6$

$f(0) = 5(0)^{5} +4(0)^{4} - 4(0)^{3} -7(0)^{2} +6$

f(0) = 6

Then when x = 0, y = 6

The coordinates for the graph (x, y) = (0, 6)

For the table choose different values, include: zero, negative and positive numbers.

x y

x = f(x)=

-20 -15330794

-15 -3582444

-10 -456694

-5 -12794

-1 2

0 6

1 4

5 17456

10 535306

15 3984306

20 16605206

Review the attached excel file, there you will see the table and how to do the calculations in the cell.

Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.

Also you can see the graph in the file.

Download xlsx

6 0

3 years ago

HELP IM GONNA GIVE U BRAINIEST❤️❤️❤️❤️

TEA [102]

Thanks for the points

4 0

4 years ago

Factor completely: 4x2 + 25x + 6

IceJOKER [234]

(x + 6)(4x + 1)
x times 4x = 4x^2
x times 1 = x
6 times 4x = 24x
6 times 1 = 6
<span>And finally, by adding like terms, 4x^2 + 25x + 6

I hope this helps you! Good luck :)</span>

7 0

3 years ago

The function graphed above is:

dem82 [27]

Step-by-step explanation:

When the slope of the function is positive, it is increasing

when the slope of the function is negative, it is decreasing

just like with the line function y = mx + b

so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function

also beware where the slope is zero it is not increasing or decreasing

there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing

increasing interval 1) x < -2 2) x > 1.5

decreasing interval 1) -2 < x < 1.5

at -2 and 1.5 the slope is zero

5 0

3 years ago

5 times {[ 9 + (2 times 3)] - 1(2 times 2)