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2 years ago

True or False: The variables in the equation 4x-(5y)2=64x-(5y)2=6 are 4, 5, and 6

Mathematics

1 answer:

Elden [556K]2 years ago

3 0

Answer:

False because the variables are x and y. The numbers are not the variables.

Step-by-step explanation:

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How many different 4 digit even numbers can be written using 0,5,6,3,8,7?<br><br> help asap please!!

fiasKO [112]

Step-by-step explanation:

I guess that means the digits can not be repeated in such a number.

let's start with how many numbers in general can be created :

we have 6 basic digits, and we are pulling 4 of them for a number.

if the sequence of the pulled digits would not matter, it would be combinations C (6, 4).

but we are creating different numbers, so the sequence of the digits does matter. so, it is permutations P (6, 4).

P(6, 4) = 6!/(6-4)! = 6!/2! = 6×5×4×3 = 360

so. bauxite, we can create 360 different 4 digit numbers out of these 6 digits.

but not all of them are wanted.

for example, I assume we don't want the numbers that start with a 0, because they would normally count as 3-digit numbers.

if that assumption is correct, we need to find how many would start with a 0, and subtract those from the total number.

since we are handling all 6 digits in the same way, an equal number must start with 0, with 5, with 6, with 3, with 8 and with 7.

so, 1/6 of the total number start with 0 : 360×1/6 = 60.

that means the total number of 4-digit numbers out of these 6 digits that do not start with 0 is 360-60 = 300.

but we are still not finished : we only want even numbers. that means they end with 0, 6 or 8.

in the same way we considered the first position, we consider also the last position. we have an equal amount of numbers that end with the different digits.

and so, we have 1/6 of 300 for each ending digit.

we want the specified 3 digits as end digits, so we get

3×1/6 of the 300 = 1/2 × 300 = 150

so, we can write 150 different 4-digit even numbers out of these 6 digits.

3 0

2 years ago

The information below explains the transformations and translations of a logarithmic function. What is the equation for this fun

maks197457 [2]

The transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>How to transform the logarithmic function?</h3>

The parent logarithmic function is

y = log(x)

When shifted left by 4 units, we have:

y = log(x + 4)

When shifted up by 3 units, we have:

y = log(x + 4) + 3

When compressed vertically by 1/3, we have:

y = 1/3(log(x + 4) + 3)

This gives

y = 1/3(log(x + 4)) + 1

When stretched horizontally by 3, we have:

y = 1/3(log(x/3 + 4)) + 1

Hence, the transformed function is y = 1/3(log(x/3 + 4)) + 1

<h3>The transformation of function f(x)</h3>

We have:

f(x) = log[-(x – 5)] + 4

Set the radicand greater than 0

-(x - 5) > 0

Divide by -1

x - 5 < 0

Add 5 to both sides

x < 5 -- this represents the domain

A logarithmic function can output any real number.

So, the range is $-\infty < f(x) < \infty$

In the domain, we have:

x < 5

This means that the interval of decrease is $-\infty < x < 5$

Rewrite as an equation

x = 5 --- this represents the equation of asymptote

Read more about logarithmic functions at:

brainly.com/question/12708344

#SPJ1

6 0

1 year ago

Suppose y varies directly with x. if y= 24 when x = 4, what is y when x = 9?

enot [183]

Answer: y=54

Step-by-step explanation: so 24/4 is 6 soooo 9*6=54 ez

7 0

2 years ago

Read 2 more answers

Is anyone able to help me?

bogdanovich [222]

Answer:

The volume of this triangular prism is 20 $cm^{3}$

Step-by-step explanation:

Just like it is shown in the picture we can use the formula for the volume of a triangular prism.

$V = \frac{1}{2}bhl$

In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...

$V = \frac{1}{2}bhl\\\\$

$V = \frac{1}{2}(5)(2)(4)$

$V = 20cm^{3}$

Therefore the volume of the triangular prism is 20 $cm^{3}$ .

7 0

3 years ago

Circle the highlighted digit and write it’s value 934,218 the three is highlighted. I need the answer please

Burka [1]

3 is in the tens of thousands place

3 0

2 years ago