Multiplies to -2 adds to 6

Answers

Answer 1

Answer: xy=-2
x+y=6

minnus x from second equation
y=6-x
sub for y
x(6-x)=-2
6x-x^2=-2
add x^2 both sides and minus 6x both sides
0=x^2-6x-2
use quadatic formula

if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

x^2-6x-2=0
a=1
b=-6
c=-2
x= $\frac{-(-6)+/- \sqrt{(-6)^(2)-4(1)(-2)} }{2(1)}$
x= $(6+/- √(36+8) )/(2)$
x= $(6+/- √(44) )/(2)$
x= $(6+/- 2√(11) )/(2)$
x= $3+/- √(11)$

x= $3+ √(11)$ or x= $3- √(11)$
aprox
x=6.31662 or -0.316625

those are the numbers

6.31662 and -0.316625

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The slope of a line is represented by the variable _____. X y m b

Answers

its the letter m because if you know the equation y=mx+b, m is your slope and b is your start value/number! hope this helps!

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What is the inverse of f(x)? Show all work for full credit. f(x) = 2/x-6

Answers

Answer:

$f^(-1)(x)=(2)/(x+6), x\ne-6$

Step-by-step explanation:

The explanation is attached below.

Find the value of x , if log₂ [log₅ (log₃x)] = 0

Answers

$\log_2 (\log_5( \log_3x)) = 0\n D:x>0 \wedge \log_3x>0 \wedge \log_5(\log_3x)>0\n D:x>0\wedge x>1 \wedge\log_3x>1\n D:x>1 \wedge x>3\n D:x>3\n \log_5(\log_3x)=1\n \log_3x=5\n x=3^5\n x=243$

7. John's seafood restaurant is trying to estimate its profits. John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40. If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)
f(c) = 17.12c - 14.56c + 5.4c - 1.20c
f(c)=14.56c - 17.12c + 1.20c - 5.40c14.56c - 17.12c + 12(.5c) - 5.40(.5c)

Answers

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Let's build the f(c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f(c) =17.12c -14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Triangle PQR is right angle at Q. |PQ| = 3a cm and |QR| =4a cm. Determine |PR| in terms of a

Answers

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shortcut would have been to recognize a 3-4-5 triangle

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O 38.3 yd
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Answers

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