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Feliz [49]
2 years ago
9

25x⁴+4x⁴y²+4y⁴ answer this​

Mathematics
1 answer:
vova2212 [387]2 years ago
6 0

Answer:

(5x²+2y² + 2xy)(5x²+2y²-2xy)

Step-by-step explanation:

25x⁴+4x²y²+4y⁴= (5x²)²+2*5x²*2y²+(2y²)² - 16x²y²= (5x²+2y²)² - (4xy)²= (5x²+2y² + 2xy)(5x²+2y² - 2xy)

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3
Rufina [12.5K]

Answer:

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1}  =\frac{f(x_2)-f(x_1)}{x_2-x_1}

So, the average rate of change of:

f(x)=-x^2+3x+6

Over the interval -3

Is:

f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12

\frac{\Delta y}{\Delta x}  =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3

Therefore, the average rate of change of this function over that interval is 3.

3 0
2 years ago
The system of equations graphed below has how many solutions?
Artist 52 [7]
Answer: C) 0

The lines are parallel. They never cross. To have a solution, the lines need to intersect. Each intersection is a solution. That's why there are no solutions here. The system is inconsistent.

Note how the slopes are both 1/2 while the y intercepts are different. Parallel lines have equal slopes but different y intercepts.
5 0
3 years ago
In slope intercept form, write the equation for the line that passes through the point (2,3) and the point (7,13).
tatuchka [14]
First, Use the slope equation to find the slope of the line passing thru these two points:

m=rise/run

Here, the rise is 13-3, or 10, and the run is 7-2, or 5.  Thus, the slope, m, is 10/5, or 2:  m=2.

We want the slope-intercept form, so let's begin with its general form:

y=mx+b.  Substitute the slope 2 for m:  y=2x+b.  Now choose either of the given points.  Arbitrarily I am choosing (2,3).  Then x=2 and y=3.

Substituting these values into y=2x+b:    3 = 2(2) + b, or b= 3 -4, or b = -1.

Then the equation of this line, in slope-intercept form, is y = 2x - 1.

8 0
3 years ago
Ppppppllllzzz help whats the opposite of 1.5
telo118 [61]

Answer: -1.5

Step-by-step explanation: First put the 1 into the 29109201920129210920192 and put the 5 into the hamburger and your done.

6 0
2 years ago
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Which expression matches the following: Jill scored 3 points for each of the 18 multiple
podryga [215]

Answer:18(3)

Step-by-step explanation:

8 0
3 years ago
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