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2 years ago

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Which equation represents the function? f(x)=−1/2x+4 f begin argument x end argument equals negative fraction 1 over 2 end fract

ion x plus 4 f(x)=2x+12 f begin argument x end argument equals 2 x plus 1 half f(x)=4x−2 f begin argument x end argument equals 4 x minus 2 f(x)=−2x+4

1 answer:

PolarNik [594]2 years ago

4 0

The equation that represents the function is y = -x - 1

<h3>How to determine the equation of the function?</h3>

The complete question is added as an attachment

From the table of values, we have the following points

(x, y) = (-1,0) and (0,-1)

Calculate the slope (m) using

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-1 -0)/(0 + 1)

Evaluate the exponent

m = -1

The equation is then calculated as:

y = mx + c

This gives

y = -x + c

Using the point (0,-1), we have:

0 = 1 + c

Solve for c

c = -1

So, we have

y = -x - 1

Hence, the equation that represents the function is y = -x - 1

Read more about linear functions at:

brainly.com/question/1884491

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Help ASAP ill give you brainlist. but explain

Lyrx [107]

Answer:

b, 45

Step-by-step explanation:

The spinner shown has eight congruent sections. The spinner is spun 120 times. What is a reasonable prediction for the number of times the spinner will land on an even number?

Before I begin, let's go over probability.

The probability of an event is: (the number of ways something can happen) / (total number of outcomes possible). So, for example, the probability of rolling a one on a die can be found like:

There is 1 way to roll a one, and 6 possible sides, so the probability is 1/6.

And, if we were to roll the die 60 times, we could expect about 1/6 of the times to be a one, so we should expect a one to be rolled 1/6 * 60 = 10 times.

Now, onto the problem.

Each portion is congruent (they all have the same area). Thus, there is a 1/8 chance of landing on 1, a 1/8 chance of landing on 9, etc.

5 sections are odd, while 3 sections are even. So, the chance of landing on an even number is:

(3 ways to land on an even number) / (8 possible outcomes) = 3/8

If there is a 3/8 possibility to land on even, and there are 120 outcomes, we can say that an even number statistically should be rolled 3/8 * 120 times.

3/8 * 120 = 45

Thus, the answer is b, 45 times

Just in case, let's check the answer by finding the number of times we should roll an odd number and adding it to the number of even times and if it adds up to 120, then the answer is correct.

Because there is a 5/8 chance of getting an odd number, there should be about 5/8 * 120 = 75 times that an odd number is spun.

75 + 45 = 120, so the answer is correct.

I hope this helps! Feel free to ask any questions!

4 0

3 years ago

If AB = 18, BC = 10, and CA = 13, list the angles of mc084-1.jpg in order from smallest to largest.

a_sh-v [17]

The rule says that:

each small angle has a small side

then the angle in front of BC is the smallest

in front of CA is the middle

in front of AB is the largest

I hope this helped and Good luck

thank you

4 0

3 years ago

Read 2 more answers

I’m unsure of what this is. help someone

JulsSmile [24]

<h2>Part 1)</h2>

Let's analyze each part of the function:

FROM x = 0 TO x = 5:

We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:

$The \ graph \ of \ the \ equation: \\ \\ y=mx+b \\ \\ is \ a \ line \ whose \ slope \ is \ m \ and \ whose \ y-intercept \ is \ (0, b)$

So the y-intercept here is $(0,4)$ and $m=\frac{4}{5}$ , therefore:

$\boxed{y=\frac{4}{5}x+4}$

FROM x = 0 TO x = 5:

From the previous line, we know that at $x=5$ the output is:

$y=\frac{4}{5}x+4 \\ \\ y=\frac{4}{5}(5)+4 \\ \\ y=4+4=8$

So the point $P_{1}(5,8)$ lies on both lines.

For this new line, the slope is $m=-\frac{3}{5}$

So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:

$The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1})$

So:

$y-8=-\frac{3}{5}(x-5) \\ \\ y=8-\frac{3}{5}x+3 \\ \\ \boxed{y=-\frac{3}{5}x+11}$

The graph is shown below.

<h2>Part 2)</h2>

The graph of the linear function $f(x)=ax+b$ is a line with slope $m=a$ and $y-intercept$ at $(0,b)$ . From the items, we can assure that the following equations are linear functions:

$\bullet 3y=2x-1.5 \ because \ y=\frac{2}{3}x-\frac{1}{2} \\ \\ \\ \bullet y=1 \ because \ y=m(0)+1 \\ \\ \\ \bullet 5(x+y)=-25 \ because \ 5x+5y=-25 \ \therefore 5y=-5x-25 \therefore y=-x-5$

In conclusion, the other functions are nonlinear and they are:

$\bullet \ y=x^2+3 \\ \\ \bullet \ y=x^3 \\ \\ \bullet \ y=12-x^2$

7 0

3 years ago

Which equation requires the division property of equality to be solved?

Ymorist [56]

Answer:

A. 201.6 = 11.2f

Step-by-step explanation:

we solve for each unknown to verify which equality will require the division property:

#A. 201.6 = 11.2f

$201.6=11.2f\\\\f=\frac{201.6}{11.2}=201.6\div 11.2\\\\=18$

Hence, division property used.

#B. 35.4=Z ÷ 3.1

$35.4=Z\div 3.1\\\\35.4=\frac{Z}{3.1}\\\\Z=35.4\times 3.1\\\\=109.74$

Hence, multiplication property used.

#C. t/3.2=15.1

$\frac{t}{3.2}=15.1\\\\t=15.1\times 3.2\\\\=48.32$

Hence, multiplication property used.

#D. 201.6 = 11.2+c

$201.6=11.2+c\\\\201.6-11.2=c\\\\c=190.4$

Hence, subtractionproperty used.

5 0

3 years ago

Read 2 more answers

Solve for x: A=2xy what is the answer

USPshnik [31]

The answer is x= A/2y

6 0

4 years ago

Read 2 more answers