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3 years ago

Graph true following inequality. 6x -2y > 8

Mathematics

1 answer:

quester [9]3 years ago

6 0

I think i did this problem already, it just easy.

Your answer: y < -4 + 3x

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Match each function with the corresponding restrictions to its domain when p(x)=2x and q(x) = 2^x.

ASHA 777 [7]

Recall that the domain of a function is the set of all x values of the function for which the function is defined.

Given that
$p(x)=2x$ and $q(x)=2^x$

Given that
$r(x)= \frac{q(x)}{p(x)} = \frac{2^x}{2x}$
For the function to be undefined, the denominator should be zero
i.e. 2x = 0 which means that x = 0
Thus, the domain of the function is all real values of x except 0.

Therefore, the restriction is x ≠ 0.

Given that
$r(x)= \frac{1}{p(x)-q(x)} = \frac{1}{2x-2^x}$
For the function to be undefined, the denominator should be zero
i.e.
$2x-2^x=0 \\ 2^x=2x$
For x = 2,
$2^2 = 2(2)=4$
Also, for x = 1
$2^1 = 2(1)=2$
Thus, the domain of the function is all real values of x except 1 and 2.

Therefore, the restriction is x ≠ 1, 2.

Given that
$r(x)= \frac{1}{p(x)+16q(x)}=\frac{1}{2x+16(2^x)}$
For the function to be undefined, the denominator should be zero
i.e.
$2x+16(2^x)=0 \\ 2x+2^4(2^x)=0 \\ 2x+2^{4+x}=0$
For x = -2,
$2(-2)+2^{4-2}=-4+2^2=-4+4=0$ .
Thus, the domain of the function is all real values of x except -2.

Therefore, the restriction is x ≠ -2.

Given that
$r(x)=p(x)\circ q(x)=p(q(x))=2(2^x)$
There is no value of x, for which the function is undefined.
Thus, the domain of the function is all real values of x.

Therefore, there is no restrictions to the domain of the function.

Given that
$r(x)= \frac{q(x)}{p(x)+2}=\frac{2^x}{2x+2}$
For the function to be undefined, the denominator should be zero
i.e.
$2x+2=0 \\ 2x=-2 \\ x = -1$
Thus, the domain of the function is all real values of x except -1.

Therefore, the restriction is x ≠ -1.

6 0

3 years ago

Read 2 more answers

Question 12 mº 680 80° 60 750 Find the value of mº in the diagram below

natali 33 [55]

Answer:

is there any diagram for it . if its there it will be more better

4 0

3 years ago

Solve this system of equations y=7x+5 y=x+17

nadya68 [22]

Answer:

(x, y) = (2, 19)

Step-by-step explanation:

7x + 5=x + 17

x=2

y=7*2+5

y=19

Please give brainlyist

7 0

3 years ago

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N^2+16n+60 over 36-n^2

svetoff [14.1K]

Factor
36-n^2 is difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
6^2-n^2=(6-n)(6+n)
factor

n^2+16n+60
find what 2 numbers multiply to 60 and add to 16
factors of 60=2,2,3,5
the numbers are 10 and 6
so factored out
(x+6)(x+10)
(x+6)=(6+x)

so the equation is
[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)

the answer is (x+10)/(6-x)

5 0

3 years ago

Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5

Mashutka [201]

Currently, the standard deviation is 10, because on average the cards were $10 away from the mean.

Adding another card with value $25 would decrease the standard deviation because it is closer to the mean the the current standard deviation.

6 0

4 years ago

Read 2 more answers