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Leya [2.2K]
2 years ago
13

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

Mathematics
1 answer:
notka56 [123]2 years ago
4 0

Answer:

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

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garri49 [273]
I'm pretty sure it would be <span>x - y + 1 = 0 because if you plug in one of the coordinates into each equation, this is the only one that works.

</span><span>y - x + 1 = 0
2 - 1 + 1 = 0
2 = 0 not correct

</span><span>x - y + 1 = 0
1 - 2 + 1 = 0
0 = 0 correct

</span><span>-x - y + 1 = 0
-1 - 2 + 1 = 0
-2 = 0 not correct
</span>
4 0
3 years ago
Y=3x-1 substitute -3 for x
Brums [2.3K]
The answer should be -10
5 0
3 years ago
Simplify this expression 3x+6x
Ierofanga [76]
Since both 3x and 6x have the variable x in it, we can just go ahead and add 3 and 6.

3x+6x=9x
4 0
3 years ago
Read 2 more answers
What is the similarity ratio of a cube with volume 729m^3 to a cube with volume 3375 m^3
liubo4ka [24]

<u>Answer:</u>

3/5

<u>Step-by-step explanation:</u>

We are to find the similarity ratio of a cube with volume  729 m^3 to a cube with volume 3375 m^3.

We know the formula for the ratio of two cubes:

\frac{V_1}{V_2} =k^3

where k is the similarity ratio of the two cubes.

Substituting the given values in the formula to find k:

k^3 = \frac {729} {3375}

k^3 = \frac {27} {125}

k^3 = (\frac {27} {125})^3

k=\frac{3}{5}

Therefore, the similarity ratio of the two cubes is 3/5.


8 0
3 years ago
Read 2 more answers
A pair of flip flops is $30. How much will they cost after a 20% discount and 6.5% tax. Please show your work.
jeka94

Answer:

The flip flops cost $25.56 after the discount and tax.

Step-by-step explanation:

A pair of flip flops is $30. This is our starting amount.

The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.

The discount is 20%. Let's find what the flip flops were sold for.

If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.

80% of 30 = ?

0.80 • 30 = ?

= 24

The flip flops were sold for $24.

Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.

6.5% of 24 = ?

0.065 • 24 = ?

= 1.56

The tax was $1.56.

We need to add the tax to the discounted price.

1.56 + 24 = ?

= 25.56

The flip flops cost $25.56 after the discount and tax.

Hope this helps!

6 0
3 years ago
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