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3 years ago

Use the graphing calculator to find the solution(s) of x2-2x-x 5 to the nearest tenth.

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

-1.4 and 3.4

Step-by-step explanation:

The solutions of a quadratic are the x values of the x-intercepts where the function crosses the x-axis.

Type in your equation to graph. Then zoom in on the x-axis and find where the function crosses.

See attached picture.

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The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 19

lisabon 2012 [21]

Answer:

$39,223\ rabbits$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$y=a(1+r)^x$

where

y is the population of rabbits

x is the number of years since 1991

a is the initial value

r is the rate of change

we have

$a=9,100$

substitute

$y=9,100(1+r)^x$

For the year 1998

the number of years is equal to

x=1998-1991=7 years

we have the ordered pair (7,18,000)

substitute in the exponential equation and solve for r

$18,000=9,100(1+r)^7$

$(18,000/9,100)=(1+r)^7$

elevated both sides to 1/7

$(1+r)=1.1023$

$r=0.1023$

therefore

$y=9,100(1+0.1023)^x$

$y=9,100(1.1023)^x$

Predict the population of rabbits in the year 2006

Find the value of x

x=2006-1991=15 years

substitute the value of x in the equation

$y=9,100(1.1023)^{15}$

$y=39,223\ rabbits$

6 0

2 years ago

Let F be the function given by f(x)= 2xe^x. Determine the interval(s) on which the graph is concave down.

Vika [28.1K]

Hello,

y=2xe^x
y'=2(e^x+xe^x)=2(x+1)e^x
y''=2(e^x+(x+1)e^x)=2(x+2)e^x

x |-infinite -2 0 +infinite
e^x | ++++++++++++++++++
x+2 |------------0 +++++++++++
y'' | -----------0 +++++++++++

y''<0 if x<-2
<span>The interval on which the graph is concave down is (-infinite -2[</span>

7 0

3 years ago

What is 5 multiple of 6

SCORPION-xisa [38]

your answer would be 30

<em>HOPE THAT HELPS!!!</em>

3 0

3 years ago

What is the volume of a cylinder with a height of 15 iches and radius of 3 inches????

uysha [10]

It would be 424.12in³

5 0

3 years ago

Read 2 more answers

A group of 19 students and adults went to the museum. The ticket price

stiv31 [10]

Answer:

7 adults, 12 students

Step-by-step explanation:

10 20 30 40 50

60 70

74 78 82 86 90

94 98 102 106 110 114 118

6 0

2 years ago