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bagirrra123 [75]
3 years ago
12

How are slope and derivatives related.

Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

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In an isosceles trapezoid, how do you prove the base angles are congruent?
just olya [345]
If two sides are congruent then those opposite of it are congruent
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3 years ago
I am so lost. can someone help?? the question is in the picture.
Juliette [100K]

We are given the following function:

f(x)=x^2

We are asked to do the following tranformations:

1. Shift down 5 units and left 77 units.

First, to shift a function down a number "n" of units we follow the next rule:

h(x)=f(x)-n

And, to shift a function "m" units to the left we use the following rule:

h(x)=f(x+m)

Applying both rules simultaneously we get:

h(x)=(x+77)^2-5

2. Reflect about the y-axis.

The rule to reflect a function about the y-axis is the following:

r(x)=h(-x)

The means that we will change "x" for "-x" in the function we are going to reflect. Applying the rule we get:

r(x)=(-x+77)^2-5

3. Compress vertically by a factor of 2.

To compress a function vertically by a factor "m" we multiply the entire function by 1/m, like this:

g(x)=\frac{1}{m}r(x)

Applying the rule we get:

g(x)=\frac{1}{2}((-x+77)^2-5)

And thus we get to the final function.

4 0
1 year ago
Maria normally walks 3/4 of an hour each day.Today she walked 5/2 times as long as normal. Did maria walk for more than 5/2 hour
tankabanditka [31]

Answer:

Marie did not walk  \dfrac{5}{2} hours more, but she walk \dfrac{9}{8} hours more .

Step-by-step explanation:

Given as :

The normal hours did Maria walks each day = \dfrac{3}{4} hours

The hours did Maris walk today = \dfrac{5}{2} times normal hours walk

Or, The hours did Maris walk today = \dfrac{5}{2} ×  \dfrac{3}{4} hours

Or, The hours did Maris walk today = \dfrac{5\times 3}{2\times 4} hours

Or, The hours did Maris walk today =  \dfrac{15}{8} hours

Now, Let The difference between normal hours walk and today hours walk = x hours

So, x = \dfrac{15}{8} hours -  \dfrac{3}{4} hours

<u>Taking LCM</u>

Or, x = \dfrac{15 - 6}{8} hours

Or, x =  \dfrac{9}{8} hours

So, Maria walk \dfrac{9}{8} hours more

Hence, Marie did not walk  \dfrac{5}{2} hours more, but she walk \dfrac{9}{8} hours more . Answer

8 0
3 years ago
Scott has to memorize 25 vocabulary words. He has memorized 15 out of the 25 words. What fraction of words does Scott have left
AVprozaik [17]
Hello!

He has memorized 15

He has not memorized 10

So he has 10/25 left to memorize

We can simplify this to 2/5

Hope this helps!
3 0
3 years ago
Read 2 more answers
Find the length of the sides of a square if the number of square meters in its area is 1.5 times the number of meters in its per
Citrus2011 [14]
A*a=1.5*4*a
a=1.5*4=6
side is 6 m
5 0
4 years ago
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