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Ede4ka [16]
3 years ago
15

5 less than the quotient of a number y and 2

Mathematics
1 answer:
Marta_Voda [28]3 years ago
5 0
Quotient means division....less then means subtract
(y/2) - 5
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Solve the following 5t - 3 = 3t + 5
Pavel [41]

Answer:

t=4

Step-by-step explanation:

5t-3=3t+5 - subtract 3t from both sides

2t-3=5 - add 3 to both sides

2t=8 - divide by 2

t=4

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I don't really get it. it would be amazing if you help and show work
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Change of y / over change of x
Go over 4, up 45
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What’s the answer to this math problem?v
allochka39001 [22]

<em>Choice-A</em> is the answer to this math problem.

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3 years ago
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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.

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Harry's motorboat can make an average of 8 miles per hour. one day he sets out for a trip, only to have the motor break down. ha
melisa1 [442]
He rowed 10 miles in total. YOU'RE WELCOME :D
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