Which of the following is NOT a solution to the system of inequalities? (2, 3)

(1, 3)

(0, 3)

(0, 4)
Which of the following is NOT a solution to the - 1

Answers

Answer 1
Answer:

The point that is not the solution to the system of inequalities is (2, 3), the correct option is A.

What is a System of Inequality?

A system of Inequality is a set of inequalities in one or more variables.

The inequalities in the graph have a common solution shown by the shaded area.

The points (1,3), (0,3) and (0,4) lie in the shaded region.

Point (2,3) is out of the shaded area.

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Answer 2
Answer:

For a point to be a solution, it has to be on the green shaded area including the solid red line to the left above the intersection of the lines but not the dashed red line to the right.

(2, 3) is outside the shaded area, so it is not a solution.

(1, 3) is inside the green shaded area, so it is a solution.

(0, 3) is on the red line above the intersection, so it is a solution.

(0, 4) is inside the green shaded area, so it is a solution.

Answer: A. (2, 3)


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A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule (3xy)(7xy²), where y represents the number of white tiles.Which simplified expression represents the number of colored tiles used for a path of length x feet?

Answers

the number of colored tiles needed to make it is calculated using the rule: (3xy)(7xy²) where x is the length of the path in feet y represents the number of white tiles

 

(3xy) (7xy^2)

= 21(x^2)(y^3) is the simplified expression represents the number of colored tiles 

41 degrees equals how many degrees Celsius

Answers

41 degrees Fahrenheit is equal to 5 degrees Celsius

You can also do it yourself by following this formula:
degrees Celsius = (5/9) * (degrees fahrenheit - 32)
degrees Celsius = 0.555 * 9
degrees Celsius = 5 (rounded of course)


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What is 2/3 divided by 5/3

Answers

Answer:

2/5

Step-by-step explanation:

Step 1:

2/3 ÷ 5/3      Equation

Step 2:

2/3 × 3/5      Reciprocal

Answer:

2/5   Multiply

Hope This Helps :)

one serving of a cookie recipe calls for 6 tablespoons of sugar. if one serving makes enough for 4 people, how much sugar is needed to serve 10 people?

Answers

15 tablespoons of sugar is needed for 10 people

Find the equation of the tangent line to the curve y=2sinxy
2
sin
x
at the point (π/6,1)
π
6
1
.

The equation of this tangent line can be written in the form y=mx+b
y
m
x
b
where

Answers

Final answer:

To find the equation of the tangent line to the curve y=2sinx at the point (π/6,1), we take the derivative to find the slope and then use the point-slope form of the line equation. The result is y = √3x + 1 - √3π/6.

Explanation:

The subject of this question is calculus and focuses specifically on finding the equation of the tangent line to the curve y=2sinx at a given point. To do this, we use the formula y=mx+b.

Firstly, the slope of the tangent line is obtained by taking the derivative of the function at the point of tangency. The derivative of y=2sinx is y'=2cosx. For the given point (π/6,1), the slope (m) would be 2cos(π/6) = √3.

Secondly, we use the point-slope form of the line equation to find b. Inserting the values of the slope (m) and the given point into the equation, we get 1 = √3(π/6) + b. Solving for b gives b = 1 - √3π/6.

Finally, the equation of the tangent line is y = √3x + 1 - √3π/6.

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 Hello
f(x) = 2sin(x)
f(π/6) = 1 
f'(x) 2cos(x)
f'(
π/6) = 2×co(π/6) = 2 × root(3)×0.5  =root(3)
The equation of this tangent line is : y= root(3)(x-π/6)+1
y = root(3)x+1 - π/6(root(x))  in the form y=mx+b
m = root(3)   and   b = 
1 - π/6(root(x))

A car factory produces 100 cars in a day. If c is the total number of cars produced in d days, which equation represents the number of cars as a function of the number of days?. a.d = f(c) = 100c.
b.d = f(c) = 100 + c.
c.c = f(d) = 100d.
d.c = f(c) = 100d.
e.d = f(c) = 100 – d

Answers

We have:
c - the total number of cars,
d - the number of days;
c = f ( d ) = 100 d
Answer: C )

For this case we have the following variables:

d: number of days

c: total number of cars

We know that an amount of 100 cars per day is produced.

Therefore, the equation that models the problem is:

We can write this equation as a function of the number of days.

Therefore, by rewriting the equation we have:

Answer:

An equation that represents the number of cars as a function of the number of days is:

c = f (d) = 100d

option c