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nasty-shy [4]
3 years ago
15

Find the inverse of the function g(x)=(x-4)^2+11

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

y= \sqrt{x-11} - 4

Step-by-step explanation:

switch the x and y and solve for y.

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Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6
Karolina [17]

Answer:

x+2 is a factor of f(x)  = 5x^2 + 13x + 6

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial f(x)  = 5x^2 + 13x + 6

We need to check if x  = -2 is the FACTOR of the given polynomial.

⇒ To show:  f (-2)  =  0

Now

f(-2)  = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26  = 0\\\implies f(-2) = 0

Since, f(-2) = 0

⇒  -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of f(x)  = 5x^2 + 13x + 6

4 0
3 years ago
Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.
sergiy2304 [10]
Hello :
if : a <span>≡ 5 ( mod 7) ....(1)
     b </span><span>≡ 6 ( mod 7) ...(2)
(1)×(2) : ab </span><span>≡ 30 ( mod 7)
</span>but : 30 = 7×4  + 2  ..... so : 30  ≡ 2 ( mod 7)
then : ab ≡ 2 ( mod 7)
6 0
3 years ago
When is g(x) = 0 for the function g(x) = 5⋅2^3x + 4?
SashulF [63]
The answer should be when X=1
Hope this helped u out if not sorry
:D

6 0
3 years ago
Convert 3/5 into a fractions with a denominator of 20.
Sloan [31]
<u>3</u> x 4 = <u>12</u><u>
</u>5 x 4 = <u />20

Since 5 times 4 is 20, then you must also multiply 3 by 4 because what you do to one part of the fraction you must do to the other.<u>

</u>
8 0
3 years ago
SIMPLE INTEREST
cupoosta [38]
The answer would be 5 years. I=PxRxT.
3 0
3 years ago
Read 2 more answers
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