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2 years ago

What are the domain and range of f (x) = (one-fifth) Superscript x?

Mathematics

2 answers:

mihalych1998 [28]2 years ago

6 0

Answer:

Step-by-step explanation:

on edge

ivann1987 [24]2 years ago

3 0

Answer:

domain is all real numbers the range is all real numbers greater thanzero

Step-by-step explanation:

hope this helps may I have brainliest plz

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The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$

Thus the possible values of number are 7 and -4

5 0

2 years ago

2.5.3 Journal: Proofs of Congruence

nexus9112 [7]

I am doing this on apex aswell and i am stuck for the last few ones. I know that the answer to #1 is: Natalie- SAS and Emma- SSS the other ones im not so sure about. sorry for the lack of help, just thought one answer is better than none lol

8 0

2 years ago

Read 2 more answers

The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units. A sphere has a radius of x units. What is the val

Tpy6a [65]

Answer:

(b) Radius of the sphere = 5 units.

Step-by-step explanation:

Here, given:

The volume of the sphere = $(\frac{500}{3})\pi$ cubic units ... (1)

Also, radius of the sphere = x units

Now, VOLUME OF SPHERE = $(\frac{4}{3}) \pi r^3$

So, volume of a sphere with radius x = $(\frac{4}{3}) \pi (x)^3$

But volume of sphere is given by (1).

$\implies (\frac{500}{3})\pi = (\frac{4}{3}) \pi (x)^3\\\implies (\frac{500}{3}) = (\frac{4}{3}) (x)^3\\\implies x^3 = (\frac{500}{3}) \times (\frac{3}{4}) = 125\\\implies x^ 3 = 125 = (5)^3\\\implies x = 5$

Hence, radius of the sphere = 5 units.

4 0

2 years ago

Read 2 more answers

The ideal width of a safety belt strap for a certain automobile is 5 cm. An actual width can vary by at most 0.35 cm. Write and

notsponge [240]

Answer:

$4.65\leq x\leq 5.35$

Step-by-step explanation:

Let the actual width of belt be x

we are given that the ideal width of safety belt strap is 5 cm

So, Difference between actual and ideal = (x-5)cm

We are also given that An actual width can vary by at most 0.35 cm.

So, The difference between actual and ideal width should be less than or equal to 0.35 cm

So, $|x-5|\leq 0.35$

We know

$x-5\leq 0.35$ and $x-5\geq -0.35$

$x\leq 0.35+5$ and $x\geq -0.35+5$

$x\leq 5.35$ and $x\geq 4.65$

So, $4.65\leq x\leq 5.35$

Hence the range of acceptable widths is $4.65\leq x\leq 5.35$

8 0

2 years ago

A bond quote of 82.25 in dollars is equal to?

anastassius [24]

<span>A bond quote of 82.25 dollars is equals to:
=> 82.25/100 = 0.8225, this is the decimal value of the given number, now, the place value is ten thousands, thus we will multiply this by 10 000. 8 is tenths, 2 is hundredths, 2 is thousands, and 5 is ten thousands,
=> 0.8225 x 10 000
=> 8 225 dollar.
Thus, the bond quote of 82.25 has the value of 8 225 dollars to be exact.

</span>

3 0

2 years ago