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2 years ago

13

If

{1}{7} x +\frac{1}{3} y=4" alt="\frac{1}{7} x +\frac{1}{3} y=4" align="absmiddle" class="latex-formula">, then what does 3x + 7y equal?
A.) 21
B.) 84
C.) -21
D.) 10

2 answers:

NemiM [27]2 years ago

6 0

B is the answer to the question

Y_Kistochka [10]2 years ago

4 0

B would be the answer html bit

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Number of Certified Organic Farms in the United States, 2001–2008

Vinil7 [7]

Answer:

ŷ = 739.49X + 4876.43

y = 6755.98 - 388.24x + 125.30x²

y = 5428.98(1.09)^x

B.)

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

Step-by-step explanation:

X :

1

2

3

4

5

6

7

8

Y:

6231

6574

7237

7211

7701

8581

10302

11796

Using the online linear regression calculator :

The linear trend :

ŷ = 739.49X + 4876.43

Where x = year

With 2006 representing 1 ; and so on

Slope = m = 739.49

Intercept (c) = 4876.43

y = predicted variable

The quadratic model:

General form:

y = A + Bx + Cx²

y = 6755.98 - 388.24x + 125.30x²

The exponential model:

y = AB^x

y = 5428.98(1.09)^x

B.) Next three years :

Year 2009 ; x = 9

Year 2010 ; x = 10

Year 2011 ; x = 11

Linear:

ŷ = 739.49(9) + 4876.43

y = 11531.8

Year 2010 ; x = 10

y = 739.49(10) + 4876.43

y = 12271.3

Year 2011 ; x = 11

y = 739.49(11) + 4876.43

y = 13010.8

Quadratic :

Year 2009 ; x = 9

y = 6755.98 - 388.24(9) + 125.30(9^2)

y = 13411.1

Year 2010 ; x = 10

y = 6755.98 - 388.24(10) + 125.30(10^2)

y = 15403.6

Year 2011 ; x = 11

y = 6755.98 - 388.24(11) + 125.30(11^2)

y = 17646.6

Exponential:

Year 2009 ; x = 9

y = 5428.98(1.09)^9

y = 11791.2

Year 2010 ; x = 10

y = 5428.98(1.09)^10

y = 12852.4

Year 2011 ; x = 11

y = 5428.98(1.09)^11

y = 14009.1

6 0

2 years ago

Solve the any quality then identify the graph the solution -3x-3<6

Tanzania [10]

Answer:

Step-by-step explanation:

-3X-3<6

-3X<9

X>-3 (NOTICE THE SIGN CHANGE BECAUSE WE DIVIDED BY A NEGATIVE NUMBER)

(-3,00) INTERVAL NOTATION

7 0

2 years ago

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eight workers can clear twenty acres of a field in three days. how many workers are needed to clear fifty acres in five days?

Morgarella [4.7K]

Answer:

12

Step-by-step explanation:

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2 years ago

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What is 67.42 km to m

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67420 meters you move the decimal three places to the right

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Find the value of b. Round your answer to the nearest tenth.

marissa [1.9K]

Answer:

Side CA = 7.8

Step-by-step explanation:

<u>Given:</u>

Acute angled $\triangle ABC$ .

$\angle B =40^\circ$

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

<em>Formula for cosine rule: </em>

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76$

To the nearest tenth <em>b = 7.8</em>

8 0

2 years ago