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GREYUIT [131]
3 years ago
6

A) Work out the size of angle x.

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

x = 75\degree

Step-by-step explanation:

m\angle EFB +105\degree = 180\degree

(linear pair angles)

m\angle EFB = 180\degree - 105\degree

m\angle EFB = 75\degree

\because x = m\angle EFB

(corresponding angles)

\therefore x = 75\degree

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Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

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

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
2 years ago
Read 2 more answers
8^(3x-1)=2^8 <br><br>Solve for x 
Yuri [45]
8^{(3x-1)}=2^8 \\\\ 2^{3(3x-1)}=2^8 \\\\ 3(3x-1)=8 \\\\ 9x-3=8 \\\\ 9x=8+3 \\\\ 9x=11 \\\\ \boxed{x=\frac{11}{9}}
4 0
3 years ago
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