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3 years ago

Counterexample for: The sum of a negative and a positive number is always negative

Mathematics

1 answer:

vredina [299]3 years ago

4 0

Answer:

The sum of a negative and a negative is always a positive

Step-by-step explanation:

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The coleman family purchased a camper van for $38,000. the van is predicted to depreciate by about 15% each year. write an expon

forsale [732]

The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .

In the question ,

it is given that

the present value of the camper van (P₀) = $38000

given the depreciation rate is 15% each year (r)= -0.15

The future value y ,of the camper van can be given by the formula

y = P₀*(1 + r)ˣ

On putting the values , we get

y = 38000*( 1 - 0.15)ˣ

y = 38000*(0.85)ˣ

Therefore , The exponential equation that can model the value of the camper van , in x years is y = 38000*(0.85)ˣ .

Learn more about Exponential Equation here

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4 0

1 year ago

FOR WHICH POLYGON ARE BOTH x= -1 and y= -2 lines of symmetry? ILL BRAINLIEST YOU IF YOU GET IT RIGHT HELP ME PLZ

snow_lady [41]

Answer:

Step-by-step explanation:

The line of symmetry is a line that splits the figure into 2 halves where each half is a mirror image of the other. In the third figure, if a line is drawn through x = -1, the halves mirror each other. If a line is drawn through y = -2, the top and bottom halves mirror each other.

3 0

2 years ago

How would I start to solve number 15? Would I use distributive property?

natita [175]

$-5-x=2x-(4x+6)$

Using the distributive property is the correct first step. $(4x+6)$ is being multiplied by -1, so distributing gives

$-5-x=2x+(-4x-6)$
$-5-x=2x+((-4x)+(-6))$

Now, using the associative property of addition, you get

$-5-x=(2x+(-4x))+(-6)$
$-5-x=(2x-4x)-6$

Simplify the right hand side:

$-5-x=-2x-6$

Add 5 and $2x$ to both sides.

$(2x+5)-5-x=(2x+5)-2x-6$

On the left side, use the associative property. On the right, commutativity and associativity:

$2x+(5-5)-x=5+(2x-2x)-6$

Simplify.

$2x-x=-1$
$x=-1$

8 0

2 years ago

Math slope please jelpyasap

SSSSS [86.1K]

Answer:

2/2

Step-by-step explanation:

the slope is the distance between the two dots. So for the first dot to get to the second dot is up two, and right two

6 0

3 years ago

Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola

k0ka [10]

Given :

The foci of hyperbola are (8,0) and (-8,0) .

The difference of the focal radii = 6.

To Find :

The equation of the hyperbola.

Solution :

We know, distance between foci is given by :

2c = 8 - (-8)

c = 8

Also, difference between the foci or focal distance is given by :

2a = 6

a = 3

Now, we know for hyperbola :

$b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55$

General equation of hyperbola is :

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1$

Hence, this is the required solution.

3 0

3 years ago