Log (10-4x) = log (10-3x)

Answers

Answer 1

Answer: $D:\n10-4x > 0\ \wedge\ 10-3x > 0\n-4x > -10\ \vee\ -3x > -10\n\nx < (10)/(4)\ \wedge\ x < (10)/(3)\n\nx < 2(1)/(2)\ \wedge\ x < 3(1)/(3)\n\nx\in(-\infty;\ 2(1)/(2))$

$log(10-4x)=log(10-3x)\iff10-4x=10-3x\n\n-4x+3x=10-10\n\n-x=0\ \ \ /\cdot(-1)\n\nx=0\in D\n\nSolution:x=0$

Answer 2

Answer: $\log (10-4x) = \log (10-3x) \n D:10-4x>0 \wedge 10-3x>0\n D:4x<10 \wedge 3x<10\n D:x<2.5 \wedge x<3(1)/(3)\n D:x<2.5\n 10-4x=10-3x\n x=0$

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The volume Equals Four thirds pi r cubed of a spherical balloon changes with the radius. a. At what rate (cubed/in) does the volume change with respect to the radius when r equals 9 in question mark b. Using the rate from part a, by approximately how much does the volume increase when the radius changes from 9 to 9.5 in question mark

Answers

Answer:

Step-by-step explanation:

Given

Volume of spherical Balloon is given by

$V=(4)/(3)\pi r^3$

(a)Rate of change of balloon w.r.t to radius is given by

$\frac{\mathrm{d} V}{\mathrm{d} r}=3* (4)/(3)\pi r^2=4\pi r^2$

at $r=9\ in.$

$\frac{\mathrm{d} V}{\mathrm{d} r}=324\pi\ in.^2$

(b)Using the rate Volume change when radius increases from r=9 in. to r=9.5 in.

$\Delta V=4\pi (9)^2(9.5-9)=162\pi\ in.^3$

HELP!!!!!!What is the equation of the graph below?

Answers

The answer to your question is y = sin(x + 90) as we have a sine graph phase shifted 90 units left

Given the equation2x+2/y = 4w+2, what is the value of x?

O X=yW+y-1
O x= 2yW+y-1
O X = 2yw+y-2
O X= 4yw+2y-2

Answers

Option B is correct, if the equation is (2x+2)/y = 4w+2 then the value of x is 2wy+y-1

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is (2x+2)/y = 4w+2

We have to find the value of x

Which means we have to isolate the x term

2x+2=4wy+2y

Subtract 2 from both sides

2x=4wy+2y-2

Divide both sides by 2

x=2wy+y-1

Hence, option B is correct, if the equation is (2x+2)/y = 4w+2 then the value of x is 2wy+y-1

To learn more on Equation:

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Answer:

x=2yW+y-1

Step-by-step explanation:

2x+2/y=4w+2

2x+2=4yw+2y

2x=4yw+2y-2

x=2yw+y-1

P= a+b+2c solve for c

Answers

      P = a + b + 2c
      P - a - b = a - a + b - b + 2c
      P - a - b = 2c
   2    2
¹/₂P - ¹/₂a - ¹/₂b = c

marcella's house costs $120,000. she paid a 20% down payment and then borrowed the rest at 6.5% for 20 years how much will she borrow

Answers

120 000 dollars is the cost of her house.
She paid a downpayment which is 20% of it.
120000 * .20 = 24000 dollars
=> 120 000 - 24 000 = 96 000 dollars.
She paid it for installment for 20 years wth 6.5% interest.
=> 96000 * .065 = 6240 dollars interest per year
=> 6240 dollars * 20 years = 124 800 dollars
=> 96 000 + 124 800 = 220 800 dollars.

Evaluate b2c-1 for b = 8 and c = -4. -16 1/16 16 256