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aksik [14]
2 years ago
5

A function f is differentiable for all values of x in [0,6], and the graph with equation y=f(x) has a local minimum point at (2,

4). The equation of the tangent at the point with the coordinates (2,4) is:
Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Step-by-step explanation:

The slope of tangent line at a max or a minimum is 0,.

So using point slope formula.

y - 4 = 0(x - 2)

y = 4

Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.

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4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
diamong [38]

Answer:

the last one(26 by 22) not sure whether its D or E but yah

Step-by-step explanation:

6 0
3 years ago
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How do you find the x intercepts of 3x^(5/3) - 4x^(7/3)
kaheart [24]
Set the whole expression = to 0 and solve for x.

3x^(5/3) - 4x^(7/3) = 0.  Factor out x^(5/3):     x^(5/3) [3 - 4x^(2/3)] = 0

Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.

In the latter case, 4x^(2/3) = 3. 

To solve this:  mult. both sides by x^(-2/3).  Then we have

4x^(2/3)x^(-2/3) = 3x^(-2/3),            or 4 = 3x^(-2/3).  It'd be easier to work with this if we rewrote it as

4           3
---  = --------------------
1            x^(+2/3)

Then 

4
---  = x^(-2/3).  Then, x^(2/3) = (3/4), and x = (3/4)^(3/2).  According to my     3                      calculator, that comes out to x = 0.65 (approx.)

Check this result!  subst. 0.65 for x in the given equation.  Is the equation then true?

My method here was a bit roundabout, and longer than it should have been.  Can you think of a more elegant (and shorter) solution?
7 0
3 years ago
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The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.According to the graph, what is the solution to
gtnhenbr [62]

Answer:

(-4, -3)

Step-by-step explanation:

The graph of both lines will be shown below.

To find the solution, we need to find the point on the graph that both lines intersect on.

As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.

Best of Luck!

6 0
3 years ago
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Ty, who weighs 120 lbs, sits 5 ft to the left side on a seesaw. In order to balance the seesaw, Charley has to sit 6 ft to the r
BabaBlast [244]

Ans: 144

Step-by-step explanation:

24 pounds per foot.

120+24=144

pls mark brainliest

5 0
3 years ago
PLS HELP WITH THIS QUESTION
alexandr1967 [171]
ANSWER: y=6
straight lines are 180° and all the angles in a triangle add up to 180°
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2 years ago
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