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3 years ago

Which functions are symmetric with respect to the y-axis? Check all that apply.

2 answers:

4 0

When a function is symmetric with respect to the y axis, it means that the function is even: $f(-x)=f(x),\forall x\in\mathbb{R}$
We can check easily that the following function verify the above property:
$f(x)=\vert x\vert\\f(x)=\vert x\vert+3\\f(x)=\vert x\vert+6$

pochemuha3 years ago

3 0

The answer is 1,2,4 hope this helped.

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Using n for the variable, write an algebraic expression that represents a number that is divisible by the given number. (Hint: A

iris [78.8K]

Answer:

'5n' is the correct answer.

Step-by-step explanation:

Let 'n' be any integer i.e. a number from the set {....., -3,-2,-1,0,1,2,3, ..... }

so 'n' can be termed as the variable here because its value can change and can be any value from the above set.

A number 'q' that can be divided by a a given number 'p' can be written as:

$n \times p$

When divided by 'p' :

$\dfrac{q}p = \dfrac{n \times p}{p}\\\dfrac{q}p = n$

So, The number 'q' is completely divisible by 'p' leaving 'n' as the quotient.

Using this concept, let us solve the questions:

a) Using 'n' as the variable, a number that is divisible by 5 can be written as:

$5n$

Read more on Brainly.com - brainly.com/question/16919676#readmore

7 0

3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

otez555 [7]

Answer:

dimension are 350 m and 350 m and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

3 0

3 years ago

I NEED HELP!! please show all work

PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

$4^{5x} = 3^{x-2}$

$\implies \log 4^{5x} = \log 3^{x-2}$

Drop the exponents:

$\implies 5x \log 4 = (x-2) \log 3$

Expand the right side:

$\implies 5x \log 4 = x \log 3 - 2 \log 3$

Move the terms containing x to the left side and factor out x :

$\implies 5x \log 4 - x \log 3 = - 2 \log 3$

$\implies x (5 \log 4 - \log 3) = - 2 \log 3$

Solve for x by dividing boths ides by 5 log(4) - log(3) :

$\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}$

You can stop there, or continue simplifying the solution by using properties of logarithms:

$\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }$

$\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }$

$\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}$

You can condense the solution further using the change-of-base identity,

$\implies \boxed{x = -\log_{\frac{1024}3}9}$

5 0

3 years ago

This is for math and I need help plz

ollegr [7]

Answer:

A i think

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the volume of the oblique cone? Round to the

Black_prince [1.1K]

Answer:

142.4 Cubic units

Step-by-step explanation:

V=1/3pir^2h

V=1/3(pi)(4^2)(8.5)

V=142.418866963

5 0

3 years ago

Read 2 more answers