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3 years ago

Can you help me please?

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer: A. TRUE

Step-by-step explanation:

For this exercise it is important to know that, by definition, a relation is a function if and only if each Input value has one and only one Outuput value.

In this case, you can observe in the picture attached, that:

1. The Input value $0$ has an unique Output value, which is $0$ .

2. The Input value $4$ has an unique Output value, which is $1$ .

3. The Input value $8$ has an unique Output value, which is $2$ .

4. The Input value $12$ has an unique Output value, which is $3$ .

Therefore, based on the definition shown at the beginning of this explanation, since each Input value of f(x) has only one output value, you can conclude that the f(x) is a function.

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What is the midpoint of the segment shown below (-8,-7) (-7,-8)

svetlana [45]

Given two points (x₁,y₁) and (x₂,y₂) the midpoint would be:
M=((x₁+x₂)/2 , (y₁+y₂)/2)

In this case, the points would be: (-8,-7) and (-7,-8); therefore:
M=((-8-7)/2 , (-7-8)/2)=(-15/2,-15/2)

Answer: C.) (-15/2 , -15,2)

6 0

3 years ago

23.450÷345<br><img src="https://tex.z-dn.net/?f=23.450%20%5Cdiv%20345" id="TexFormula1" title="23.450 \div 345" alt="23.450 \div

wariber [46]

Answer:

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I hope this will help you

3 0

3 years ago

A boy saves 80p a day, How much does it take him to save $40

laiz [17]

Answer:

50 Days

Step-by-step explanation:

I'm not sure what the unit "p" is, but I believe it is pennies so. $40/0.80 gives you 50 which is the amount of days it would take for you to get to $40 if you receive 80 cents a day

8 0

2 years ago

What is the nth term of the following sequence……… 8, 3, -2, -7………..explain clearly aswell

Sphinxa [80]

8, 3, -2, -7

basically

you have to figure how to get from one term to the other. so in this case, to get from 8 to 3, you have to minus 5. and same again to get from 3 to -2, you again have to -5.

so the first past of the answer is -5n.

then after that, you have to figure out how to get from -5, to the first term of your sequence. so you have to add 13, in this case.

your answer would then be

8 0

3 years ago

Read 2 more answers

Leno4ka [110]

Answer:

$\frac{s^2-25}{(s^2+25)^2}$

Step-by-step explanation:

Let's use the definition of the Laplace transform and the identity given: $\mathcal{L}[t \cos 5t]=(-1)F'(s)$ with $F(s)=\mathcal{L}[\cos 5t]$ .

Now, $F(s)=\int_0 ^{+ \infty}e^{-st}\cos(5t) dt$ . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that $F(s)=\frac{1}{5}\sin(5t)e^{-st} |_{0}^{+\infty}+\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt=\int_0 ^{+ \infty}e^{-st}\sin(5t) dt$ .

Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that

$F(s)=\frac{s}{5}(\frac{-1}{5}\cos(5t)e^{-st} |_{0}^{+\infty}-\frac{s}{5}\int_0 ^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}(\frac{1}{5}-\frac{s}{5}\int_0^{+ \infty}e^{-st}\sin(5t) dt)=\frac{s}{5}-\frac{s^2}{25}F(s)$ .

Solving for F(s) on the last equation, $F(s)=\frac{s}{s^2+25}$ , then the Laplace transform we were searching is $-F'(s)=\frac{s^2-25}{(s^2+25)^2}$

3 0

3 years ago