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3 years ago

If Pablo works 9 hours and receives $800 what would he revive for working 5 hours?

1 answer:

6 0

9 hours received $800

1 hour will be = $800/9

If he had worked 5 hours would receive: $800/9 * 5 ≈ $444.44

He would receive ≈ $444.44

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What is the standard form given the vertex (-3,3) and the focus point (-3,2)

baherus [9]

Answer:

$y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}$

Step-by-step explanation:

The standard form of a parabola is written as

$y=ax^2+bx+c$

where a, b and c are the coefficients of the second-degree, first degree and zero-degree terms.

The coordinates of the vertex of a parabola is given by:

$x_b = -\frac{b}{2a}$

$y_b=c-\frac{b^2}{4a}$

The coordinates of the focus instead are given by

$x_f=-\frac{b}{2a}$

$y_f=y_b+\frac{1}{4a}$

In this problem, we know the coordinates of the vertex and of the focus point:

Vertex: (-3,3)

Focus point: (-3,2)

So we have:

$x_b=-3=-\frac{b}{2a}$ (1)

$y_b=3=c-\frac{b^2}{4a}$ (2)

$y_f=2=y_b+\frac{1}{4a}$ (3)

From eq.(1) we get

$2a=\frac{b}{3}$ (4)

Substituting into (2),

$3=c-\frac{b^2}{2(b/3)}\\3=c-\frac{3}{2}b\\c=3+\frac{3}{2}b$ (5)

Now rewriting eq.(3) as

$2=y_b+\frac{1}{4a}\\2=(c-\frac{3}{2}b)+\frac{1}{4a}$

And substituting (4) and (5) into this, we can find b:

$2=((3+\frac{3}{2}b)-\frac{3}{2}b)+\frac{1}{2(b/3)}\\2=3+\frac{3}{2b}\\-1=\frac{3}{2b}\\b=-\frac{3}{2}$

Then we can find a and c:

$2a=\frac{b}{3}\\a=\frac{b}{6}=\frac{-3/2}{6}=-\frac{1}{4}$

And

$c=3+\frac{3}{2}b=3+\frac{3}{2}(-\frac{3}{2})=3-\frac{9}{4}=\frac{3}{4}$

So the parabola is

$y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}$

4 0

4 years ago

Preverbal why is directly proportional to the variable X. if y equals 12 when x equals 14, what is the value of x when y equals

kipiarov [429]

Answer:

X=28

Step-by-step explanation:

ac/question, $\frac{x}{y}$ = $\frac{14}{12}$

x= $\frac{{14}\times{24}}{12}$

x= ${14}\times{2}$

x=28

6 0

3 years ago

How many cups of flour are needed to make 6 cups cakes?

Alex777 [14]

More information please!

8 0

3 years ago

The vertex of the functions graph is given. Find c. y=2x^2-6x+c;(3/2, 0.5)

d1i1m1o1n [39]

You would best do this by completing the square on the quadratic and subbing in the vertex they give you, like this:
$2(x- \frac{3}{2})^{2} = \frac{18}{4}-c$
Since the y coordinate of the vertex is 1/2 and we need to solve for c, set the $\frac{18}{4}-c$ equal to 1/2 and solve for c, which is the whole point of what we are doing, right?
$\frac{18}{4}-c= \frac{1}{2}$ and $\frac{18}{4}- \frac{2}{4}=c$
$\frac{16}{4}=c$ and c = 4. So that's our answer!

5 0

3 years ago

Can someone please help me with my homework?

Bess [88]

Download photo math it helps alot like fr

6 0

3 years ago