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3 years ago

-2 is less than x, and 7 is greater than or equal to x

Mathematics

1 answer:

Lostsunrise [7]3 years ago

7 0

Answer: Greater than

Step-by-step explanation:

Because if -2 is less than x and x is most likely 0

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Can anyone give me a hand with an expression 4x+8 step by step please

chubhunter [2.5K]

Factor 4x+8

4x+8

=4(x+2)

Answer:

4(x+2)

5 0

3 years ago

The height of a triangle is 4 m less than its base. the area of the triangle is 48m^2 what is thr length of the base

romanna [79]

Base = x
height = x-4
Area = .5 * height * base
48 = .5 * (x-4) * x
96 = x^2 -4x
x^2 -4x -96=0
x = 12
base = 12
height = 8

8 0

3 years ago

Find the equation of the exponential function represented by the table below:

IgorC [24]

Answer:

$y=2^{1-x}$

Step-by-step explanation:

<u>Exponential Function</u>

When we need to express the exponential relation between two variables, we use the equation

$y=Cr^{x}$

where C, r are constants to be determined by using the given points from the table

For x=0, y=2, thus

$2=C.r^{0}=C$

We find that C=2

The equation is now

$y=2r^{x}$

Now we use the point x=1, y=1

$1=2r$

We find that

$\displaystyle r=\frac{1}{2}$

Thus, the equation is

$\displaystyle y=2\left(\frac{1}{2}\right)^{x}$

Rearranging

$y=2(2)^{-x}=2^{1-x}$

The required equation is

$y=2^{1-x}$

We can easily verify the last two points are also obtained by using the equation

7 0

3 years ago

a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length of the hypotenuse

lara [203]

Answer:

The length of the hypotenuse is 4.1 in

Step-by-step explanation:

By definition, the sine of an angle is:

$sin(x) = \frac{opposite\ side}{hypotenuse}$

In this case they tell us that the opposite side measures 4 inches and the angle x measures 80 °.

With this information we can find the length of the hypotenuse h

$sin(80\°) =\frac{4}{h}\\\\h = \frac{4}{sin(80\°)}\\\\h = 4.062\ in$

Finally the length of the hypotenuse is 4.1 in

6 0

3 years ago

Why is the ratio of two integers always a rational number?

Ket [755]

Answer: Rational numbers are numbers that can be written as a ratio of two integers.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers