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3 years ago

How many solutions does -3x+15=3(5-x) have

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

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The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,

Oliga [24]

Answer:

$P(x$

$P(x>808.40) = 0.58$

$P(x\le805.40\ or\ x\ge 808.40) = 0.85$

Step-by-step explanation:

Given:

$F(x) = \left\{\begin{array}{ll}{0} &; {x$

Solving (a): P(x < 810)

To solve this, we make use of:

$P(x$

Because

$800^\circ C \le 810 \le 820^\circ C$

So:

$F(x) = 0.05 * 810 -40$

$F(x) = 40.5 -40$

$F(x) = 0.5$

Hence:

$P(x$

Solving (b): P(x < 800)

To solve this, we make use of:

$P(x$

Because:

$x < 800^\circ C$

So:

$P(x$

Solving (c): P(x > 808.40)

Here, we make use of complement rule:

$P(x>808.40) = 1 - P(x \le 808.40)$

Where:

$P(x\le808.40) = 0.05x - 40$

$P(x\le808.40) = 0.05*808.40 - 40$

$P(x\le808.40) = 0.42$

So:

$P(x>808.40) = 1 - 0.42$

$P(x>808.40) = 0.58$

Solving (d) The probability that the temperature lies outside 805.60 and 808.40

First, we calculate the probability that it lies within.

This is represented as:

$P(805.40 < x < 808.40)$

This is calculated using:

$P(805.40 < x < 808.40) = F(808.40) - F(805.40)$

$P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)$

$P(805.40 < x < 808.40) = 0.42 - (0.27)$

$P(805.40 < x < 808.40) = 0.42 - 0.27$

$P(805.40 < x < 808.40) = 0.15$

Using complement rule, the required probability is:

$P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15$

$P(x\le805.40\ or\ x\ge 808.40) = 0.85$

5 0

3 years ago

Determine whether the binomial is a factor of f(x).<br><br> f(x) = x3 + 11x2 + 24x - 36; x - 4

attashe74 [19]

If it is, then $f(4)$ would be equal $0$ .

$f(4)=4^3+11\cdot4^2+24\cdot4-36\\
f(4)=64+11\cdot16+96-36\\
f(4)=124+176\\
f(4)=300\not =0 \Rightarrow \text{ it isn't}$

8 0

3 years ago

How the hell did I get a notification that I answered a question i didn't create???

igomit [66]

Answer:

i dont know same thing

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Ratios, decimals, simplest form

Aleks04 [339]

101 to 263, 101 / 263,

8 0

3 years ago

Hi what is the anwer for this

IRISSAK [1]

Answer:

2.5cm^2

Step-by-step explanation:

so diameter is basically radius*2...to find radius(since area of circle is pi*r^2 we need to divide diameter by 2)

so 1.8/2=0.9

now,

pi*0.9^2

pi*0.81

2.5 cm^2

4 0

3 years ago