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lbvjy [14]
3 years ago
6

CAN YOU PLZ HELP ME W/ HW!!!

Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0
1. 3 and 7
2. 5 and 20
3. 10 and 60
4. 1 and 0
5. 8 and 9
6. 3 and 1.00

7. 0.55
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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
I need some help ? Does anyone know this:)I’m new too this thats why im asking loll
kherson [118]
The answer is 36 because in order to find area you multiply length and width so:

A= L x W
9 x 4 = 36
8 0
3 years ago
Read 2 more answers
If 1500 grows to 1950 after 5 years, find the simple interest rate
olga_2 [115]
1580 I assume srry if it is incorrect 
6 0
3 years ago
Read 2 more answers
Math answer with work cause it need proof ASAP
Viktor [21]

Answer:

[See Below]

Step-by-step explanation:

__________________________

✦ Solve for (1*10)+(4*1)+(7*0.01)+(2*0.001):

__________________________

✦ Solve Parenthesis first:

  • (1*10)=\bold1\bold0
  • (4*1)=\bold4
  • (7*0.01)=\bold0\bold.\bold0\bold7
  • (2*0.001)=\bold0\bold.\bold0\bold0\bold2

__________________________

✦ Add all the values together:

  • 10+4+0.07+0.002=\bold1\bold4\bold.\bold0\bold7\bold2

__________________________

So Mikayla wrote the decimal correctly.

__________________________

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

-Your~ Friendly ~Answerer,~ Shane ☺

5 0
3 years ago
 multiplying polynomials <br>find the product<br>(5n+6)(5n-5)
Viktor [21]
(5n+6)(5n-5) =5n\cdot 5n -5n\cdot 5+6\cdot 5n-6\cdot 5=\\ \\=25n^2-25n+30n-30 =25n^2+5n-30


3 0
3 years ago
Read 2 more answers
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