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vladimir2022 [97]
3 years ago
13

T object]user: jane marko buys a car for $11,400.00. in three years, the car depreciates 48% in value. how much is the car worth

in three years?
a. $4,788.00
b. $5,472.00
c. $5,928.00
d. $3,800.00
Mathematics
1 answer:
nata0808 [166]3 years ago
5 0
B. 5,472 because 11,400 x .48 is 5,472.
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Domain is basically all of x values.

Range is basically all of y values.

That means if you want to find the domain, you can check from the coordinate-x and if you want to find the range, you can check from the coordinate-y.  

As you can see in the graph, there are the colored and non-colored dot. Both present the inequality symbol. If it's a colored circle/dot then it's either ≤ or ≥ but if it is non-colored dot then it's either > or <

From the graph, we can say that the minimum value is at -4 when x = -5

and there is no maximum value considering the x = 1 then y = 7 isn't counted due to being uncolored dot.

As mentioned, Domain is the set of all x values. We check the coordinate-x plane and notice that it begins from x = -5 to x = 1. That means it is -5≤x<1

Remember that the x = 1 one is uncolored so it's either > or < but it is < because 1 has more value than -5. Now we know the domain.

About range, we check coordinate-y plane. It starts from -4 to 7. Therefore, the range is -4≤y<7.

Therefore, <em>Domain is -5≤x<1 and Range is -4≤y<7</em>

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a.\\\dfrac{12}{7}=\dfrac{k}{8}\ \ \ \ |\text{cross multiply}\\\\7k=12\cdot8\\\\7k=96\ \ \ \ |:7\\\\k=\dfrac{96}{7}\to k=13\dfrac{5}{7}

b.\\\dfrac{3}{4}(x+3)=9\ \ \ \ \ |\text{use distributive property}\\\\\dfrac{3}{4}x+\dfrac{3}{4}\cdot3=9\\\\\dfrac{3}{4}x+\dfrac{9}{4}=9\ \ \ \ \ |\cdot4\\\\3x+9=36\ \ \ \ |-9\\\\3x=27\ \ \ \ |:3\\\\x=9

c.\\\dfrac{4+m}{3}=\dfrac{5}{6}\ \ \ \ \ |\text{cross multiply}\\\\6(4+m)=3\cdot5\ \ \ \ |\text{use distributive property}\\\\6\cdot4+6m=15\\\\24+6m=15\ \ \ \ |-24\\\\6m=-9\ \ \ |:6\\\\m=-\dfrac{9}{6}\\\\m=-\dfrac{3}{2}\\\\m=-1\dfrac{1}{2}\to x=-1.5

d.\\\dfrac{5}{9}c-\dfrac{3}{4}=\dfrac{7}{9}c\ \ \ \ |+\dfrac{3}{4}\\\\\dfrac{5}{9}c=\dfrac{7}{9}c+\dfrac{3}{4}\ \ \ \ |-\dfrac{7}{9}\\\\-\dfrac{2}{9}c=\dfrac{3}{4}\ \ \ \ |\cdot\left(-\dfrac{9}{2}\right)\\\\c=-\dfrac{27}{8}\to c=-3\dfrac{3}{8}

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4 years ago
Read 2 more answers
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