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Galina-37 [17]
3 years ago
13

The gradient of the curve at x=3 y=2x^2-4x+3​

Mathematics
1 answer:
zmey [24]3 years ago
8 0
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Help plz what is the answer<br> 18z=-9
Elina [12.6K]

Answer:-2

Step-by-step explanation:

6 0
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What is the equation of the line shown written in slope-intercept form?
Nataly [62]
It would be Y=2 as it's a horizontal line at y=2
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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
Which expression is equivalent to this one? 6(x – 17) A. 6x – 17 B. 6x · (–17) C. 6x – 6 · 17 D. 6 + x – 17
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it is 6x-102 or 6x-6.17
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7 0
3 years ago
There were 40 fingers total on the number of gloves Mrs. Edwards knitted. How many gloves did Mrs.Edward knit.
GarryVolchara [31]
40 ÷10 = 4

Mrs Edward knitted 4 pairs of gloves.
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3 years ago
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