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Rainbow [258]
2 years ago
13

The average price of a gallon of orange juice from October 2013 to September 2014 can be modeled by the function f shown, where

x represents the number if months since October 2013,
f(x)=6.12+0.03x

Complete the sentence to describe the change in average price of a gallon of orange juice from October 2013 to September 2014

The average price of a gallon of orange ( 1st-Blank) by (2nd-Blank) each month

1st -Decreased OR Increased
2nd- 3% OR 612% Or $0.03 OR $6.12
Mathematics
1 answer:
Hatshy [7]2 years ago
5 0

Answer:

The average price of a gallon of orange increased by $0.03 each month.

Step-by-step explanation:

It is 11 months between October 2013 and September 2014 so the price after 11 months =

f(11) = 6.12 + 0.03(11)

= 6.12 + 0.33

= $6.45.

This is an increase of 0.33 / 11 = 0.03 / month.

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Two workers produced 86 parts and the first one produced 8 more parts than the second one. How many parts did each worker produc
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1st worker produced x pants,
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x+x+8=86
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x+8 = 
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1st worker produced 39 pants,
2nd worker produced 47 pants.
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2 years ago
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Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
2 years ago
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In the right △ABC with m∠C=90°, m∠B=75°, and AB = 12 cm. Find the area of △ABC.
azamat

Given that ABC is a right angle triangle with m∠C=90°,  m∠B=75° and AB=12cm.

Area of triangle =  

                         =  

So we need to find BC,AC now.

To find them let us take sinB and cosB.

SinB =  

BC = 12* cos B = 12* cos 75

So, area =  

            = 72*sin(75)*cos(75)

            = 36*(2sin(75)cos(75))

            = 36*sin(150) =  18

Hence area of triangle is 18

Hope this helps tbh sorry I was a little late btw (:

7 0
2 years ago
Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit
photoshop1234 [79]
Well since the value of C has been given to you, plug it into the equation.

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The temperature in Fahrenheit would be 50 degrees.
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