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2 years ago

Describe a real world situation that can be modeled by the equation 8.35x=4.25x+36.90

1 answer:

3 0

Lets reduce the equation.

8.35x = 4.25x + 36.90
8.35x - 4.25x = 36.90
4.10x = 36.90

X = 9

1 bag a of assorted fruit cost $4.10 how much will it cost if I want to buy 9 bags of assorted fruit.

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Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?

Anna11 [10]

Answer:

C. $y + \frac{1}{2} = 3(x - 2)$

Step-by-step explanation:

Given

$Point: (2,\frac{-1}{2})$

$Slope: 3$

Required

Equation of line

Let m represents the slope of the line;

m is calculated as thus

$m = \frac{y - y_1}{x - x_1}$

$where (x_1,y_1) = (2,\frac{-1}{2})$

$So; x_1 = 2; y_1 = \frac{-1}{2}$

$m = 3$

By substituting the right values in the formula above;

$m = \frac{y - y_1}{x - x_1}$ becomes

$3 = \frac{y - \frac{-1}{2}}{x - 2}$

Multiply both sides by $(x - 2)$

$3 *(x - 2) = \frac{y - \frac{-1}{2}}{x - 2} *(x - 2)$

$3 *(x - 2) = (y - \frac{-1}{2})$

$3 *(x - 2) = (y + \frac{1}{2})$

$3(x - 2) = (y + \frac{1}{2})$

$3(x - 2) = y + \frac{1}{2}$

Reorder

$y + \frac{1}{2} = 3(x - 2)$

Hence, the equation that represents the line is $y + \frac{1}{2} = 3(x - 2)$

4 0

3 years ago

The price for the items ordered for lunch was $23.45. How much would the price be after tax and tip if the tax rate is 8% and yo

miv72 [106K]

23.45 × .08 = 1.88
23.45 × .2 = 4.69
23.45 + 1.88 + 4.69 = 30.02
The total price would be $30.02.

8 0

2 years ago

A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the d

Sloan [31]

Answer:

D) Quadratic

Step-by-step explanation:

A function is graphed on a coordinate grid.

As the domain values approach infinity, the range values approach infinity.

Domain: If $x\rightarrow \infty$ then

Range: $y\rightarrow \infty$

As the domain values negative infinity, the range values approach infinity.

Domain: If $x\rightarrow -\infty$ then

Range: $y\rightarrow \infty$

We need to choose correct option which follows given domain and range.

Only quadratic function will follow the rule because it has even degree polynomial.

Quadratic function: $f(x)=ax^2+bx+c$

Degree = 2 and leading coefficient is positive.

Domain: $x\belong (-\infty,\infty)$

Range: $y\belong (b,\infty)$

Hence, D is correct option.

4 0

3 years ago

Read 2 more answers

PLEASE HELP!! DUE SOON

zhenek [66]

Answer:

C is false as the other three are 100% correct statements. I dont know what is linear growth and exponential growth but I know that the other 3 statements are correct so the only 1 left C must be false.

4 0

2 years ago

Read 2 more answers

Please help .... Jeff is traveling from Atlanta to Columbia and then to Charleston. He decides to plot the cities on a coordinat

Crazy boy [7]

Answer:

The answer is C

Step-by-step explanation:

Use the Pythagoras theorem which states that a2 = b2 + c 2

For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively

Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.

a, which represents the distance between Colombia and Charleston would be

a² = b² + c²

a² = (3)² + (-11)²

a = √[(3)² + (-11)²]

Hence the answer is C

5 0

2 years ago