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4 years ago

Income is ______

Mathematics

2 answers:

disa [49]4 years ago

7 0

I think the answer would be c

andre [41]4 years ago

3 0

Answer:

C.) Wages/ salaries, interest, and profits

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Please help with real answer :-(

stiv31 [10]

Answer:

Step-by-step explanation:

subtract the function of h by the real number and write it in form of inequality

5 0

3 years ago

The position function of a particle in rectilinear motion is given by s(t) = 2t3 – 21t2 + 60t + 3 for t ≥ 0 with t measured in s

Norma-Jean [14]

The positions when the particle reverses direction are:

$s(t_1)=55ft\\\\s(t_2)=28ft$

The acceleraton of the paticle when reverses direction is:

$a(t_1)=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=18\frac{ft}{s^{2}}$

Why?

To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.

Also, when the particle reverses its direction, the velocity is equal to 0.

We are given the following function:

$s(t)=2t^{3}-21t^{2}+60t+3$

So,

- Derivating to get the velocity function, we have:

$v(t)=\frac{ds}{dt}=(2t^{3}-21t^{2}+60t+3)\\\\v(t)=3*2t^{2}-2*21t+60*1+0\\\\v(t)=6t^{2}-42t+60$

Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:

$v(t)=6t^{2}-42t+60\\\\0=6t^{2}-42t+60\\\\0=t^{2}-7t+10\\(t-5)*(t-2)=0\\\\t_{1}=5s\\t_{2}=2s$

We know that the particle reversed its direction two times.

- Derivating the velocity function to find the acceleration function, we have:

$a(t)=\frac{dv}{dt}=6t^{2}-42t+60\\\\a(t)=12t-42$

Now, substituting the times to calculate the accelerations, we have:

$a(t_1)=a(2s)=12*2-42=-18\frac{ft}{s^{2}}\\ \\a(t_2)=a(5s)=12*5-42=18\frac{ft}{s^{2}}$

Now, substitutitng the times to calculate the positions, we have:

$s(t_1)=2*(2)^{3}-21*(2)^{2}+60*2+3=16-84+120+3=55ft\\\\s(t_2)=2*(5)^{3}-21*(5)^{2}+60*5+3=250-525+300+3=28ft$

Have a nice day!

3 0

3 years ago

What fraction represents the sum of 1/5 + 1/5 + 1/5

Drupady [299]

Answer:

0.6=6/10=3/5

Step-by-step explanation:

0.2+0.2+0.2

0.6

The tenth place wich means 6/10

Simplify by which gives you 3/5

6 0

3 years ago

Please help meeeee!! It’s a test

8_murik_8 [283]

Answer:12

Step-by-step explanation:

5 0

3 years ago

Graph a parabola whose intercepts are x=-3 and x=5 and whose minimum value is y =-4

blagie [28]

Answer:

$y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60$

Step-by-step explanation:

A parabola has the following format:

$y = f(x) = ax^{2} + bx + c$

If a is positive, it's minium value is:

$y_{M} = -\frac{\bigtriangleup}{4a}$

In which

$\bigtriangleup = b^{2} - 4ac$

Factoring:

$ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , in which $x_{1} and x_{2}$ are the intercepts.

In this question:

$x_{1} = -5, x_{2} = -3$

$a(x - x_{1})*(x - x_{2}) = a*(x - (-5))*(x - (-3)) = a*(x+5)*(x+3) = a*(x^{2} + 8x + 15)$

Suppose a = 1, we have:

$x^{2} + 8x + 15$

$\bigtriangleup = 8^{2} - 4*1*15 = 4$

The minimum value will be:

$y_{M} = -\frac{4}{4} = -1$

We want this minimum value to be -4, which is 4 times the current minimum value, so we need to multiply a by 4. Then

$a = 4$

And the parabola is:

$y = 4(x^{2} + 8x + 15) = 4x^{2} + 32x + 60$

4 0

3 years ago