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love history [14]
3 years ago
11

If you vertically compress the absolute value parent function, f(x) = |xl, by a

Mathematics
1 answer:
geniusboy [140]3 years ago
6 0
The new function would be 3lxl

If y=f(x), then the transformed function will be y=3f(x) because the compression affects the y value, and so the function becomes y=3lxl
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3 years ago
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A function f has derivatives of all orders for all real numbers, x. Assume f(2) = −3, f ′(2) = 5, f ″(2) = 3 and the third deriv
nadezda [96]

The Taylor polynomial would be

T_3(x)=f(2)+f'(2)(x-2)+\dfrac{f''(2)}2(x-2)^2+\dfrac{f'''(2)}6(x-2)^3

T_3(x)=-3+5(x-2)+\dfrac32(x-2)^2-\dfrac43(x-2)^3

Then

f(1.5)\approx T_3(1.5)=-\dfrac{119}{24}\approx-4.96

6 0
3 years ago
1. What operations would you use in order to solve 3x – 4 = 26. Please write the operations in the order you would use them.
alex41 [277]

1. add the 4 to both sides

2. divide both sides by 3

3 0
3 years ago
Find the missing length. The triangles in each pair are similar.
oee [108]

Answer:

Step-by-step explanation:

This a not so simple ratio problem:

     MN is to LN as TN is to UN as MT is to LU

     MN/LN    =   TN/UN    =   MT/ LU         trying to find LU

     88 / (? + 32)   =  (88-56)/32   = 56/?

                            =     32 / 32   = 56 / ?        

                                   1  =  56 / ?  

                                   ?  = 56  

     88 / (56 +32)  = 1      This must be an Isosceles triangle and UT bisects

                                       LN and MN

5 0
3 years ago
You make a tape of your friend's three favorite TV shows: a comedy, a drama and a reality
vodka [1.7K]

Answer:

comedy = 2

drama = 4

reality = 1

Step-by-step explanation:

comedy  = 30min

denote as "c"

drama = 60min

denote as "d"

reality = 60min

denote as "r"

write in English

(30min of c) + (60 min of d) + (60min of r) totals to 360 min

translate to mathematics

(30c) + (60d) + (60r) = 360

we also know that there is a total of seven episodes

so we can say

c + d + r = 7

and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that

d = 2c

now there is a system of equations

30c + 60d + 60r = 360

c +d + r = 7

d = 2c

all we know have to do is simplify and solve

substitute in the second equation, into the first

c + d + r = 7

d = 2c

c + 2c + r = 7

simplify

3c + r = 7

r = 7 - 3c

substitute this into the first equation

d = 2c

r  = 7 -3c

30c + 60d + 60r = 360

30c + 60(2c) + 60(7 - 3c) = 360

distribute

30c + 120c + 420 - 180c = 360

simplify

-30c + 420 = 360

      -420       -420

-30c = -60

c = 2

substitute back into the other equations and solve

d = 2c

d = 2 *2

d = 4

r = 7 - 3c

r = 7 - 3 * 2

r = 7 -6

r = 1

4 0
3 years ago
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