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2 years ago

Select all the correct answers.

Mathematics

2 answers:

wlad13 [49]2 years ago

8 0

Answer:

3rd and 4th

Step-by-step explanation:

harkovskaia [24]2 years ago

5 0

Answer:

The third and fourth ones are functions.

Step-by-step explanation:

How that helped.

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The pront for a company this year was $100,000. Each year the profit increases at a rate

tia_tia [17]

Answer:

f(t) = 100,000 ⋅ 0.012 t

Step-by-step explanation:

5 0

3 years ago

a parabola has x intercepts of -1 and 3 it passes through the point (1,6) write the equation if the parabola

matrenka [14]

$\boxed{f(x)=-\frac{3}{2}x^2+3x+\frac{9}{2}}$

<h2>Explanation:</h2>

The Standard Form of the equation of a parabola is given by the form:

$y=ax^2+bx+c$

As y is a function of x, then we can write:

$y=f(x)=ax^2+bx+c \\ \\ a, \ b, c \ Real \ Coefficients$

Also, we can write $f(x)$ in factored form as:

$f(x)=a(x-x_{1})(x-(x_{2}) \\ \\ x_{1} \ and \ x_{2} \ Are \ the \ roots$

In this case:

$x_{1}=-1 \\ \\ x_{2}=3$

So:

$f(x)=a(x-(-1))(x-3) \\ \\ f(x)=a(x+1)(x-3)$

We also know that the parabola passes through the point (1,6):

$f(1)=6=a(1+1)(1-3) \\ \\ Isolating \ a: \\ \\ 6=a(2)(-2) \\ \\ 6=a(-4) \\ \\ a=-\frac{6}{4} \\ \\ a=-\frac{3}{2}$

Finally, the equation of the parabola is:

$f(x)=-\frac{3}{2}(x+1)(x-3)$

Or applying Distributive Property:

$f(x)=-\frac{3}{2}\left(x^2-2x-3\right) \\ \\ \boxed{f(x)=-\frac{3}{2}x^2+3x+\frac{9}{2}}$

<h2>Learn more:</h2>

Piecewise-defined function: brainly.com/question/12169258

#LearnWithBrainly

3 0

2 years ago

Some body is there in room.

liraira [26]

What are you taking about.???

6 0

2 years ago

2. Cameron worked 8 hours at the coffee shop. He earned the same amount in tips and wages each hour. At the end of his shift, Ca

Elden [556K]

Answer:

$\$12$

Step-by-step explanation:

Let money earned in tips every hour is $x$

Money earned in wages every hour is $y$

Number of hours in the shift is 8

Money earned in 8 hours in tips is $32

$8x=32\\\Rightarrow x=\dfrac{32}{8}\\\Rightarrow x=4$

Money earned in 8 hours in wages is $64

$8y=64\\\Rightarrow y=\dfrac{64}{8}\\\Rightarrow y=8$

Money earned each hour is $x+y=4+8=\$12$ .

3 0

2 years ago

Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6

torisob [31]

Answer:

k = 102

Step-by-step explanation:

Inverse variation is represented as follows:

y = k/x

Find k by substituting 17 for y and 6 for x:

17 = k/6

Multiplying both sides by 6 results in k = 102

8 0

2 years ago