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3 years ago

Which graph represent y as a function of x?

Mathematics

1 answer:

zhenek [66]3 years ago

7 0

Answer:

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

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Find the area. please help me!

Law Incorporation [45]

1.
15 × 12× 20
3600

2.
2×2×3
12

3.
24.3×8.5×9.7
2003.535

4 0

3 years ago

What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!

Delicious77 [7]

ANSWER
$f(x)= \frac{1}{4} {(x - 1)}^{2}$

EXPLANATION

Since the directrix is
$y = - 1$

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

$(1,1)$

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

${(x - h)}^{2} = 4p(y - k)$
where
$(h,k)$

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
$(1, - 1)$

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
$h = \frac{1 + 1}{2} = 1$

and
$k = \frac{ - 1 + 1}{2} = 0$

The equation of the parabola now becomes,

$(x - 1) ^{2} = 4p(y - 0)$

$|p| = 1$

Thus, the distance between the vertex and the directrix.

This means that,

$p = - 1 \: or \: 1$

Since the parabola opens up, we choose
$p = 1$
Our equation now becomes,

${(x - 1)}^{2} = 4(1)(y - 0)$

This simplifies to
${(x - 1)}^{2} = 4y$

or

$y = \frac{1}{4} {(x - 1)}^{2}$

This is the same as,

$f(x)= \frac{1}{4} {(x - 1)}^{2}$

The correct answer is D .

4 0

3 years ago

Help number 5. It would mean a lot.

brilliants [131]

Hi there!

This gets pretty easy once you understand how to do these kinds of problems. Let's look at the words in the question.

Adison earned 25$. We can push that to the side.
She loaned her friend 18$, which means she took some money away from her first part of it.

25 - 18 = 7$. Now she has 7$ left. (A calculator would be useful to answer these!)

Now, let's put the 7 to the side and check out the rest of the equation. Looks like Adison's grandmother gave her 50 more dollars, and we know that more means to add.

50 + 7 = 57$.

Now, the final part of the question says she ended up with 86$ because she had money before she earned more. To see how much money she had originally, we can subtract 86 from 57.

86 - 57 = 29$.

We now understand that Adison originally had 29$ before earning anymore money.

Hope this helps!

4 0

3 years ago

¿Cuál es el precio de colocación de un CETE con valor nominal $10.00 que se coloca a una

zlopas [31]

Answer:

Step-by-step explanation:

10.00+28

=========38

7 0

3 years ago

Heyy i just need some help with questions 29 if anyone could help me and show the work that would be amazing thank you!!

horrorfan [7]

Step-by-step explanation:

if we are taking in terms of domain.. is d set of number that we can put to the function with get division by zero .. squaroot of negative number,log of zero e.t.c

A) p(x)/m(x)= 1/squaroot(x) ÷ x²-4 which we know that x²-4 must not be equal to zero

because if is equal to zero we will have division by zero, which have contradicted the hypothesis of law of domain

x²-4 =! 0

(x-2)(x+2)=!0

x=!2 or x=!-2 because if is equal to that it's has contradicted d hypothesis

the answer is all real number except -2 and -

B)p(m(x))=p(x²-4) =1/squaroot of x²-4

note they are two things involve we must not get division by zero and root of negative number

we have all real number expect from -2 to 2

C)m(p(x))=m(1/root of (x))=(1/root of (x))²_4)

we have 1/x-4

so the answer is all real number expect zero

3 0

2 years ago

Which graph represent y as a function of x?​

Which graph represent y as a function of x?