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irakobra [83]
2 years ago
11

Is the answer for number 3 A or D

Mathematics
2 answers:
joja [24]2 years ago
5 0
It is D because it has divided 
rewona [7]2 years ago
5 0
I thought the correct answer should be B
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F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B7%7D%20-%5Csqrt%7Bx%5E2%2B2x-15%7D" id="TexFormula1" title="\sqrt{x+7} -\
elena-s [515]

Answer:

x >= -7  ................(1a)

x >= 3   ...............(2a1)

Step-by-step explanation:

f(x) =  \sqrt{x+7}-\sqrt{x^2+2x-15}  .............(0)

find the domain.

To find the (real) domain, we need to ensure that each term remains a real number.

which means the following conditions must be met

x+7 >= 0  .....................(1)

AND

x^2+2x-15 >= 0 ..........(2)

To satisfy (1),  x >= -7  .....................(1a) by transposition of (1)

To satisfy (2), we need first to find the roots of (2)

factor (2)

(x+5)(x-3) >= 0

This implis

(x+5) >= 0 AND (x-3) >= 0.....................(2a)

OR

(x+5) <= 0 AND (x-3) <= 0 ...................(2b)

(2a) is satisfied with x >= 3   ...............(2a1)

(2b) is satisfied with x <= -5 ................(2b1)

Combine the conditions (1a), (2a1), and (2b1),

x >= -7  ................(1a)

AND

(

x >= 3   ...............(2a1)

OR

x <= -5 ................(2b1)

)

which expands to

(1a) and (2a1)   OR  (1a) and (2b1)

( x >= -7 and x >= 3 )  OR ( x >= -7 and x <= -5 )

Simplifying, we have

x >= 3  OR ( -7 <= x <= -5 )

Referring to attached figure, the domain is indicated in dark (purple), the red-brown and white regions satisfiy only one of the two conditions.

3 0
3 years ago
Read 2 more answers
A prism is completely filled with 96 cubes that have edge length of 1/2 cm.
ch4aika [34]
I know this is kinda late, but...

You can solve this easily as long as you remember how to find the volume of a cube. v=a^3, when a means length. The length is 1/2 cm, or .5 cm.
 So, v+.5^3, which equals .125 cm. Each cube has a that volume. Now, multiply that by how many actual cubes there are, 96.

96 * .125 = 12
8 0
3 years ago
Read 2 more answers
Which function is most likely graphed on the coordinate plane below?​
Ber [7]

Answer:

2nd one

Step-by-step explanation:

6 0
3 years ago
Solve the simuteneous equation<br>4x+2y=6<br>x-2y=9​
Naya [18.7K]

Answer:

find the same x-value and the same y-value that satisfies both ... 1 2 3. + 4 5 6. 5 7 9 ... + (4x – 2y + 9 = 0).

Step-by-step explanation:

8 0
3 years ago
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Solve by factoring<br> 4x^2=x
Delvig [45]

Answer:

x= 0, 1/2

Step-by-step explanation:

6 0
3 years ago
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