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3 years ago

What is the range of the function defined as y=5

Mathematics

1 answer:

seraphim [82]3 years ago

6 0

$\bf \begin{array}{cllll}
x&y\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
-7&5^{-7}\to \frac{1}{5^7}\to \frac{1}{78125}\\\\
-3&5^{-3}\to \frac{1}{5^3}\to \frac{1}{125}\\\\
0&5^0\to 1\\\\
3&5^3\to 125\\\\
7&5^7\to 78125
\end{array}$

so... you can keep on going towards the negatives with "x", or towards the positives with "x", notice, if the "x" is negative, "y" is just a fraction, positive, but a fraction

and if "x" is positive, "y" is a positive integer
even when x =0, "y" never became 0, and is never negative either

so, the range is, "y" is always positive, but not 0, or y>0

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Select all number combinations that COULD make a triangle

tester [92]

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

4 0

2 years ago

A 5-gallon jug of cleaning solution contains 6% bleach. How much pure water should be added to it to dilute to 4% bleach?

mihalych1998 [28]

Let's bear in mind that 5 gallons with a solution of 6% bleach, contains some water plus some bleach, how much bleach? well, is just 6% of 5 gallons or namely (6/100) * 5 gallons, or 0.30 gallons.

if we use "x" gallons of water, well pure water has no bleach, so is 0% bleach, and it has a (0/100) * x or 0x gallons of bleach.

the mixture will be say "y" gallons, and is 4% bleach, so (4/100) * y is 0.04y gallons in the mixture of bleach.

$\bf \begin{array}{lcccl}
&\stackrel{gallons}{quantity}&\stackrel{\textit{\% of bleach}}{amount}&\stackrel{\textit{gallons of bleach}}{amount}\\
&------&------&------\\
\textit{pure water}&x&0.00&0x\\
\textit{6\% solution}&5&0.06&0.3\\
-----&------&------&------\\
mixture&y&0.04&0.04y
\end{array}
\\\\\\
\begin{cases}
x+5=\boxed{y}\\
0x+0.3=0.04y\\
---------\\
0.3=0.04\left( \boxed{x+5} \right)
\end{cases}
\\\\\\
0.3=0.04x+0.2\implies 0.1=0.04x\implies \cfrac{0.1}{0.04}=x\implies 2.5=x$

3 0

3 years ago

The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi

andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0

3 years ago

Factor the expression 2x4y – 18x2y3 completely.

Annette [7]

Answer:

B. 2x2y(x – 3y)(x + 3y)

Step-by-step explanation:

$2 {x}^{4} y - 18 {x}^{2} {y}^{3} \\ = 2 {x}^{2} y( {x}^{2} - 9 {y}^{2} ) \\ = 2 {x}^{2} y \{ {x}^{2} - {(3y)}^{2} \} \\ \purple {\boxed{ \bold{ = 2 {x}^{2} y(x - 3y)(x + 3y)}}}$

5 0

3 years ago

Read 2 more answers

A map of Brunswick County has a scale of 1.5 inches = 5 mile. If the actual Distance from Lawrenceville to Brodnax is 10 miles,

ziro4ka [17]

The distance on the map is 3 inches. We know 5 is half of 10 so we multiple 5 by 2 and get 10. Now we do the same thing to the 1.5 inches. 1.5*2=3.

6 0

3 years ago