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Katen [24]
2 years ago
11

Find the constant of proportionality

Mathematics
1 answer:
k0ka [10]2 years ago
3 0

Answer:

k=1/5

Step-by-step explanation:

y=kx so

1=1/5(5) yes

3=1/5(15)yes

5=1/5(25)yes

7=1/5(35)yes

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Suppose a line has slope -2/3 and passes through the point (1, 8). which other point must also be on the graph?
Arisa [49]
<h3>Answer:   Choice A.   (7,4)</h3>

============================================

Explanation:

Use the slope and given point to find the y intercept

y = mx+b

8 = (-2/3)*(1) + b

8 = -2/3 + b

8 + 2/3 = b

24/3 + 2/3 = b

26/3 = b

b = 26/3

The equation of the line is y = (-2/3)x + 26/3

To confirm this, plug in x = 1 and we should get y = 8, due to the point (1,8)

y = (-2/3)x + 26/3

y = (-2/3)*1 + 26/3

y = -2/3 + 26/3

y = (-2+26)/3

y = 24/3

y = 8

So that verifies we have the correct equation.

--------------

Next, go through each answer choice to see if the x coordinate of the point leads to the y coordinate.

If we try x = 7, then,

y = (-2/3)x + 26/3

y = (-2/3)(7) + 26/3

y = -14/3 + 26/3

y = (-14+26)/3

y = 12/3

y = 4

This shows that (7,4) is on the line. Choice A is the answer

That rules out choice B.

----------------

If we tried x = -5, then,

y = (-2/3)x + 26/3

y = (-2/3)(-5) + 26/3

y = 10/3 + 26/3

y = 36/3

y = 12

meaning that (-5,12) is on the line. That rules out choices C and D.

Refer to the graph below. It visually confirms that of the four answer choices, only point A is on the line. I used GeoGebra to make the graph.

5 0
2 years ago
For the following​ case, assume that the population standard deviation is known and decide whether use of the​ z-interval proced
Ray Of Light [21]

Answer:

B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.

Step-by-step explanation:

answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false

8 0
3 years ago
Graph the equation.
Natalija [7]

Answer:

69

Step-by-step explanation:

nice ;)

7 0
2 years ago
Use the table below to answer this question:
ch4aika [34]

Answer:

Step-by-step explanation:

Th average rate of change is the slope of the secant line that goes through those 2 values of x.  Of course, each value of x also has a value of y.  The coordinates for these combinations of x's and y's are:

(-1, 5) and (4, 0).  We can use the slope formula to find the average rate of change of this function without having to know what the function's equation is:

m=\frac{0-5}{4-(-1)}=\frac{-5}{5}=-1

So the average rate of change, aka slope, between those 2 points is -1

7 0
2 years ago
How many ounces in a half pound
abruzzese [7]
0.5 pounds = 8 ounces
There are 16 ounces in a pound, and you only need half a pound so
16/2 = 8
7 0
2 years ago
Read 2 more answers
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