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2 years ago

How do I get to this answer step by step pleaseee quickly!!!!

Mathematics

1 answer:

frutty [35]2 years ago

5 0

Answer:

Step-by-step explanation:

Direction: Opens Up

Vertex:

(

−

)

Focus:

(

−

)

Axis of Symmetry:

Directrix:

−

Select a few

values, and plug them into the equation to find the corresponding

values. The

values should be selected around the vertex.

Tap for more steps...

−

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:

(

−

)

Focus:

(

−

)

Axis of Symmetry:

Directrix:

−

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HELP PLEASE

Jet001 [13]

Answer:

c $11,751

Step-by-step explanation:

The function that models Alicia's car is

$f(x) = 21000(0.93)^{x}$

where x represents the number of years since she purchased the car.

We want to find the value of Alicia's car after 8 years.

We substitute x=8 into the formula to get:

$f(8) = 21000(0.93)^{8}$

$f(8) = 21000(0.5596)$

$f(8) = 11751.218$

We round to the nearest dollar to get:

$f(8) =11751$

The correct answer is C.

5 0

2 years ago

The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?

mina [271]

** x + 5 = 7 x = 2 ** x + 5 = 9 x = 4 {2,4}

4 0

3 years ago

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rainbow is the shape of a parab

Gekata [30.6K]

We can answer the first part of the question not taking intersecting function into account. The domain of $y=-x^{2}+36$ is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.

Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be $y=0.5x+5$ . We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.

The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.