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HACTEHA [7]
3 years ago
5

Dawson says that the expression (2 4/10+8 4/5(

Mathematics
1 answer:
Katen [24]3 years ago
7 0

Answer:

56/5

Step-by-step explanation:

2 4/10=24/10

8 4/5=44/5

24/10+44/5=24/10+88/10=112/10=56/5

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Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25
stealth61 [152]

Answer:

all real numbers except ±5.

Step-by-step explanation:

Each function (f(x), g(x)) has a domain that is all real numbers. Their quotient (f(x)/g(x)) must exclude values that make g(x) = 0. The quotient is undefined when the denominator is zero. Those excluded values are x = ±5.

The domain of (f/g)(x) is all real numbers except ±5.

___

Of course you recognize x^2 -25 = 0 has solutions x = ±√25 = ±5. You can get there two ways:

  1. add 25 and take the square root: x^2=25; x=±√25.
  2. factor the difference of squares and set the factors to zero: (x-5)(x+5)=0 has solutions x-5=0 and x+5=0, that is, x = ±5.
5 0
3 years ago
10. When you add the same number to both sides of an inequality, is the inequality still true? Explain how you know your stateme
avanturin [10]

The inequality is still true! If you add a number, say 5 to both sides of the following inequality, does anything change?

3 < 6

3 + 5 < 6 + 5

8 < 11

The inequality is still true. We know the statement holds for subtracting the same number because, in a way, addition and subtraction are pretty much the same operation. If I subtract 5 from both sides, I can think of it like "I add negative 5 to both sides" or something along those lines. It's kind of backwards thinking.

6 0
3 years ago
Arturo has a net spendable income of $1,700 per month. What is the maximum amount of money that he should budget for housing? Ro
Mrrafil [7]
Hello! I believe that 630 would be the most appropriate answer! I hope I helped!
7 0
3 years ago
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14
natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

r = 3 -- radius

h = 7 --- height

Rate = 14in^3/min

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

V = \frac{1}{3} \pi r^2h

This gives:

V = \frac{1}{3} * 3.14 * 3^2 * 7

V = \frac{1}{3} * 197.82

V = 65.94in^3

To calculate the time, we make use of the following rate formula.

Rate = \frac{Volume}{Time}

Make Time the subject

Time= \frac{Volume}{Rate }

This gives:

Time= \frac{65.94in^3}{14in^3/min}

Time= \frac{65.94in^3}{14in^3}min

Cancel out the units

Time= \frac{65.94}{14} min

Time= 4.71 min\\

3 0
3 years ago
Identify the equation in slope-intercept form for the line that has the given slope and contains the given point.
Kisachek [45]
The answer I got was y=-12x+43.

Hope this helps!
5 0
2 years ago
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