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Rus_ich [418]
3 years ago
11

Consider the function f(x)=−2/3x+1. What is f(3)? f(3)=?

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Answer:

Alright well Graph the line using this slope and Y-intercept, or two points

Slope: - 2/3

Y - intercept: 1 Hope this helps have a nice day :)

Step-by-step explanation:

And if you want i can explain the Answer with detail

Lady_Fox [76]3 years ago
4 0

Answer:

f(3) = \frac{7}{9}

Step-by-step explanation:

The given function is

f(x)= \frac{-2}{3x}+1

To find is the value of f(3)

Now we can find the value of a function by putting the vlaue in the given equation of the function

we can see that we have to find the value of f(3) and or given function is f(x)

so we have to put the value of x to be equal to 3 so that we can get the value of the desired function at a given point

Now

In this

x =3

f(x) = \frac{-2}{3x}+1               ................(i)

Put x = 3 in equation (i)

it becomes

f(3) = \frac{-2}{3*3}+1

f(3) = \frac{-2}{9}+1

Taking the LCM and solving it

LCM of 1 and 9 is 9 so it becomes

f(3) = \frac{-2+9}{9}

f(3) = \frac{7}{9}

which is the required value


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Solve 2csc^2x-2cscx-1=0 <br> for 0° ≤ x ≤ 360°
umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ

6 0
3 years ago
Find The Difference [Will Give Brainliest If Correct]
RUDIKE [14]

Answer:

30, 10, -10

Step-by-step explanation:

Subtract each number below from the number above.

60 - 30 = 30

50 - 40 = 10

40 - 50 = -10

7 0
4 years ago
A housepainter mixed 2 gallons of blue paint with
maria [59]

Answer:

Option D: 6:12 is correct answer.

Step-by-step explanation:

We can find the simplest form of ratio to compare it with the given ratios.

According to given statement,

The ratio is:

No.\ of\ Blue\ Paint\ Gallons: No.\ of\ red\ paint\ gallons\\2:4\\Simplifying\\1:2

Now we will check if the given options can be simplified to 1:2

So,

Option A:

8:12\\2:3

Option B:

8:24\\1:3

Option C:

3:5

Option D:

6:12\\1:2

As we can see that 6:12 can be simplified to 1:2 which is same as 2:4 so it will make the same shade of purple.

Hence,

Option D: 6:12 is correct answer.

8 0
3 years ago
Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees
lozanna [386]

Answer: 0.0035

Step-by-step explanation:

Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.

i.e.  \mu=0 and \sigma= 1  

Let x denotes the readings on thermometers.

Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_

P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035

Hence, the probability that a randomly selected thermometer reads greater than 2.17 = 0.0035

The required region is attached below .

8 0
3 years ago
if your car gets 28 miles per gallon, how much does it cost to drive 310 miles when gasoline cost $3.50 per gallon?
Butoxors [25]
Hi,


Work:

28miles = 1gallon

To find the cost of gallons spend for 310 miles you need to first find the amount of gallons consumed on 310 miles path.

310 \div 28 = 11.07gallons

If each costs 3.5$ you need to multiply gallons with money.

3.5 \times 11.07 = 38.745

You would spend 38.745$ to drive 310 miles.

Hope this helps.
r3t40
3 0
4 years ago
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