Mathematics, 21.04.2020 17:47 Ashley606hernandez

Research/Google how exponential functions are used in the real world. Then write a paragraph on how they can be used in real life.

Answers: 2

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Answer from: Quest

it could 14.28 but if its not that one then it has to be the 17 one. hope this ! : )

step-by-step explanation:

Answer from: Quest

a. we have two

lines: y = 4-x and

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b. 4-x = 8-x^-1

x 4-x 8-x^-1

-3 7

8.33

-2 6 8.5

-1 5 9

0 4

1 3

2 2

7.5

3 1 7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:

x=-4.236

y = 4-x = 4 – (-4.236)

= 8.236

y = 8-x^-1 = .236)^-1

= 8.236

x=0.236

y = 4-x = 4 – (0.236) = 3.764

y = 8-x^-1 = 8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c. to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x and y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines. the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

Answer from: Quest

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

$m_ {1} * m_ {2} = - 1$

then, given the following line:

$6x-3y = 18\\6x-18 = 3y$

$\frac {6x} {3} - \frac {18} {3} = y\\y = \frac {6x} {3} - \frac {18} {3}\\y = 2x-6$

so, $m_ {1} = 2$

we are looking for m_ {2}:

$m_{2}=\frac{-1}{m_{1}}\\m_{2}=\frac{-1}{2}\\m_{2}=-\frac{1}{2}$

then, the line is given by:

$y = - \frac {1} {2} x + b$

we find "b" replacing the given point:

$8 = - \frac {1} {2} (0) + b\\8 = b$

finally, the equation is:

$y = - \frac {1} {2} x + 8$

option c

Answer from: Quest

the answer is 3/2 and for decimal: 1.5

hope i

-lavira: )

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Research/Google how exponential functions are used in the real world. Then write a paragraph on how...