For which value(s) of x is f(x)>0

Let's say that

f

(

x

)

=

x

2

−

10

The graph below shows

y

=

f

(

x

)

:

graph{x^2-10 [-6, 6, -15, 15]}

When we want

f

(

x

)

>

0

, we want

y

>

0

, or all the values of

x

where

f

(

x

)

>

0

.

In this instance,

x

2

−

10

>

0

x

2

>

10

x

>

√

10

x

<

−

√

10

Proof:

x=10:

10

2

−

10

=

100

−

10

=

90

x=6

6

2

−

10

=

36

−

10

=

26

x=1:

1

2

−

10

=

1

−

10

=

−

9

x=-1:

(

−

1

)

2

−

10

=

1

−

10

=

−

9

x=-6

(

−

6

)

2

−

10

=

36

−

10

=

26

x=-10:

(

−

10

)

2

−

10

=

100

−

10

=

90

the answer is 0.071

good luck! : d

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true