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Write a linear function from the given values: <br><br> f(2)=-2, f(1)=1<br><br><br> f(4)=1, f(8)=4

kap26 [50]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have:

$f(2)=-2\to(2,\ -2)\\f(1)=1\to(1,\ 1)$ .

Substitute:

$m=\dfrac{1-(-2)}{1-2}=\dfrac{3}{-1}=-3$

Therefore we have $y=-3x+b$ .

Substitute the coordinates of the point (1, 1) to the equation:

$1=-3(1)+b$

$1=-3+b$ <em>add 3 to both sides</em>

$4=b\to b=4$

<h3>Answer: y = -3x + 4</h3>

We have:

$f(4)=1\to(4,\ 1)\\f(8)=4\to(8,\ 4)$

Substitute:

$m=\dfrac{4-1}{8-4}=\dfrac{3}{4}$

Therefore we have $y=\dfrac{3}{4}x+b$ .

Substitute the coordinates of the point (4, 1) to the equation:

$1=\dfrac{3}{4}(4)+b$

$1=3+b$ <em>subtract 3 from both sides</em>

$-2=b\to b=-2$

<h3>Answer: $y=\dfrac{3}{4}x-2$ </h3>

3 0

4 years ago

What would the answer be to 4x-6y=36 graphed

xz_007 [3.2K]

Answer:

see the attachment

Step-by-step explanation:

It is convenient to graph this equation using the x- and y-intercepts.

The x-intercept is found where y=0, so ...

4x = 36

x = 9

The y-intercept is found where x=0, so ...

-6y = 36

y = -6

<em>Graph the two points (9, 0) and (0, -6) and draw a line through them</em>. The graph is shown below.

8 0

3 years ago

Need answer ASAP will give brainliest check out the picture

valentinak56 [21]

Answer:

i think... x=6

Step-by-step explanation:

3x+9=x+21

3x−x=12

2x=12

x=6

8 0

3 years ago

The pitch of a roof is indicated by a fraction formed by placing the rise over the

Marina CMI [18]

<span>The pitch of the roof is one of the two major measures of roof angle, the other being slope. In order to calculate the roof pitch as a fraction, one should divide the rise of the roof by the span, which is defined as the length between the exterior of the top plate of one wall and that of the corresponding wall on the other side of the building.</span>

3 0

4 years ago

If the probability of success during a single event of a geometric experiment is 0.34, what is the probability of success on the

Paraphin [41]

Since, the probability of success during a single event of a geometric experiment is 0.34.

We have to find the probability of success on the 6th event.

Since it is a geometric experiment. So, when a discrete random variable 'X' is said to have a geometric distribution then it has a probability density function (p.d.f.) of the form:

P= $q^{x-1}p$ , where q = 1 - p

So, now

P = $q^{x-1}p$

where 'p' is the probability of success and 'q' is the probability of failure and x is the number of events.

Since the probability of success (p)is 0.34

Therefore, probability of failure(q)= 1 - p

= 1 - 0.34

= 0.66

and x = 6

So, P = $q^{x-1}p$

= $(0.66)^{6-1} \times 0.34$

= $(0.66)^{5} \times 0.34$

= 0.0425

So, the nearest tenth of a percent of probability of success on the 6th event =

4.257 %

Rounding to the nearest tenth, we get

= 4.3%

So, Option A is the correct answer.

4 0

3 years ago

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