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Zanzabum
3 years ago
15

Graph the function by the table. Is the function linear or nonlinear?

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0
The answer is Nonlinear.
Karolina [17]3 years ago
3 0

Answer:

Option A - Non-linear              

Step-by-step explanation:

Given : Graph the function by the table.

x           y

1          12.3

2         19.6

3         26.6

4         34.2

5         41.5

To find : Is the function linear or nonlinear?

Solution :

The function is linear when there slopes are equal.

So, we find the slope of the points.

m=\frac{y_2-y_1}{x_2-x_1}

Taking point, (x_1,y_1)=(1,12.3) and (x_2,y_2)=(2,19.6)

m=\frac{19.6-12.3}{2-1}

m=\frac{7.3}{1}

m=7.3

Taking point, (x_1,y_1)=(2,19.6) and (x_2,y_2)=(3,26.6)

m=\frac{26.6-19.6}{3-2}

m=\frac{7}{1}

m=7

We have seen that slope between points are not equal.

Therefore, The given points are non-linear.

So, Option A is correct.

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Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

x=y+2

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

35x+10y=385

3. Solve the system of two equations:

\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.

Substitute the first equation into the second equation:

35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9

7 0
3 years ago
Read 2 more answers
If a/b = c/d, then ad = bc.
Nikolay [14]

Answer:

The statement is true

see the explanation

Step-by-step explanation:

we have the proportion

\frac{a}{b}=\frac{c}{d}

we know that

To solve the proportion multiply in cross

so

(a)(d)=(b)(c)

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therefore

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Answer:

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Step-by-step explanation:

Circumference of a circle = πd

Diameter (d) = 20 in.

Substitute

Circumference = π × 20

Circumference = 62.8318531

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Answer:

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