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saul85 [17]
2 years ago
11

If "-3<" x/5 < "-1" what is the value of x

Mathematics
1 answer:
Natalka [10]2 years ago
7 0

Answer:

-15 < x < -5

Step-by-step explanation:

-3 < x/5  < -1

Multiply all sides by 5

-3*5 < x/5 *5  < -1*5

-15 < x < -5

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If f(x)=x-3, which inequality can be used to find the domain of f(x)?
Scrat [10]

Given that,

f(x) = \sqrt{x-3}

To find,

The domain of f(x).

Solution,

We have, f(x) = \sqrt{x-3}

To find domain,

The term under the square root must be positive or null as follows :

x-3\ge 0

Adding 3 both sides

x-3+3\ge 0+3\\\\x\ge 3

So, the domain is x-3>0 .

3 0
2 years ago
Ken has 8 apples in his
Marat540 [252]

Answer:10

Step-by-step explanation:

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3 years ago
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A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?
nasty-shy [4]

Answer:

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2 years ago
Select the correct answer.
vovikov84 [41]
(Remember, PEMDAS)
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7 0
3 years ago
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0
2 years ago
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