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mezya [45]
1 year ago
9

Learn with an example Select the tables that show a proportional relationship between x and y. х y 1 4 3 5 2 8 6 10 4 16 12 20 S

ubmit

Mathematics
1 answer:
koban [17]1 year ago
4 0

The green table shows a proportional relationship between x and y

Here, we want to select the table that shows a propoertional relationship between x and y

In the first table, we can establish that by multiplying the x-values by 4, we get the y-values

Thus, we can establish the relationship that;

\begin{gathered} y\text{ = 4x} \\ or \\ x\text{ = }\frac{y}{4} \end{gathered}

The same cannot be said for the second table as we cannot see a relationship between x and y (a proportional relationship)

With respect to this, we can see that it is the first table that shows the proportional relationship

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Solve for x.<br><br> 5.2(x−6.7)=46.28
Grace [21]

5.2(x - 6.7) = 46.28

Divide both sides of the equation by 5.2

x - 6.7 = 8.9

Move the constant to the right-hand side and change its sign

x = 8.9 + 6.7

Add the decimals

x = 15.6

7 0
3 years ago
Read 2 more answers
Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
balu736 [363]

Given:

The function is

f(x)=\left(\dfrac{1}{3}\right)^x

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

f(x)=\left(\dfrac{1}{3}\right)^x

At x=-2,

f(-2)=\left(\dfrac{1}{3}\right)^{-2}

a=\left(3\right)^{2}         \left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]

a=9

At x=-1,

f(-1)=\left(\dfrac{1}{3}\right)^{-1}

b=\left(3\right)^{1}         \left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]

b=3

At x=0,

f(0)=\left(\dfrac{1}{3}\right)^{0}

c=1         \left[\because a^0=1, a\neq 0\right]

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0
3 years ago
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Pls help me on this math question.I am really confused
Natali5045456 [20]

Answer:

640 m

Step-by-step explanation:

We can consider 4 seconds to be 1 time unit. Then 8 more seconds is 2 more time units, for a total of 3 time units.

The distance is proportional to the square of the number of time units. After 1 time unit, the distance is 1² × 80 m. Then after 3 time units, the distance will be 3² × 80 m = 720 m.

In the additional 2 time units (8 seconds), the ball dropped an additional

... (720 -80) m = 640 m

_____

<em>Alternate solution</em>

You can write the equation for the proportionality and find the constant that goes into it. If we use seconds (not 4-second intervals) as the time unit, then we can say ...

... d = kt²

Filling in the information related to the first 4 seconds, we have ...

... 80 = k(4)²

... 80/16 = k = 5

Then the distance equation becomes ...

... d = 5t²

After 12 seconds (the first 4 plus the next 8), the distance will be ...

... d = 5×12² = 5×144 = 720 . . . meters

That is, the ball dropped an additional 720 -80 = 640 meters in the 12 -4 = 8 seconds after the first data point.

6 0
3 years ago
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t
anygoal [31]

Answer:

Choice D - 8cm and 9cm.

Explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

7 0
3 years ago
An architect is designing a building.each floor will be 12 feet tall.
Kamila [148]

Answer:

There are four students working on a project in math class. Miguel has completed 1/8 of the project, Gina has completed 13% of the project, Jatziry has completed 0.10 of the project, and Keva has completed 1/9 of the project. Make a list of the students in order from least to greatest by the amount of the project they have completed.

Step-by-step explanation:

I don't have points

3 0
3 years ago
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