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dexar [7]
3 years ago
7

What is the vertex of the parabola?

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0

Answer:

(5,0)

Step-by-step explanation:

Having the solution switched the original x and y, the vertex would be identified as (5,0) using (h,k) placement.

Nina [5.8K]3 years ago
3 0

Answer:

(0,5)

Step-by-step explanation:

You might be interested in
The florist charges $31.75 for eight roses and five carnations. For one rose and three carnations, it cost $5.75. What is the co
Sedbober [7]

Cost for a carnation is $0.75

Step-by-step explanation:

Let,

Rose = x

Carnation = y

According to given statement;

8x+5y=31.75   Eqn 1

x+3y=5.75   Eqn 2

Multiplying\ Eqn\ 2\ by\ 8\\8(x+3y=5.75)\\8x+24y=46 \ \ \ Eqn\ 3\\Subtracting\ Eqn\ 1\ from\ Eqn\ 3\\(8x+24y)-(8x+5y)=46-31.75\\8x+24y-8x-5y=14.25\\19y=14.25\\Dividing\ both\ sides\ by\ 19\\\frac{19y}{19}=\frac{14.25}{19}\\y=0.75

Cost for a carnation is $0.75

Keywords: Linear equations, Addition

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

5 0
3 years ago
Give an example of each of the following, or argue that such a request is impossible.
Masteriza [31]

Answer and Step-by-step explanation:

Solution:

(a) Let (bn) be a bounded sequence of (an) then, Bolzano- Weierstrass theorem,

(bn) contains a subsequence that is converges.

(b) The sequence :

Xn = 1 + (-1) n / 2 + 1/n

Clearly, (xn) does not contain 1 or 0.

If we take sequence (x2n), then it converges to 1 and when we take sequence (x2n+1),

Then it converges to 0.

(c) The sequence:

1

1,1/2

1, 1/2, 1/3

1, 1/2, 1/3, 1/4

i.e

(xn) = (1,1/2, 1, 1/2, 1/3, …)

Then, the subsequence (xn) that is identically ½ in second column and 1/3 is third column and so on.

It has sub sequence that converges to every point in infinite set {1, 1/2, 1/3, 1/4, 1/5…}.

(d) The sequence

{1, 1/2, 1/3, 1/4, 1/5…}

if we take sequence of given set, then, this set converges to zero. This is not contained in it.

If (xn) converges to every point in set {1, 1/2, 1/3 …} then there exists subsequence which converges to 0. And 0 does not belong to given set.

3 0
3 years ago
F(x)=6x-18 sub in f(x/3), f(x)/3
arlik [135]

These are two separate problems: in the first we will have to substitute in a new value for x into the original equation and in the second we will manipulate the preexisting equation for f(x).

To begin, we will sub in f(x/3). To do this, we will substitute each variable x in the equation (in this case there is only one) with x/3, and then simplify the resulting equation.

f(x) = 6x - 18

f(x/3) = 6(x/3) - 18

To simplify, we should distribute the 6 on the right side of the equation.

f(x/3) = 6x/3 - 18

Now, we can divide the first term on the right side to finalize our simplification.

f(x/3) = 2x -18

Secondly, we are asked to find f(x)/3. To do this, we will take our original value for f(x), and then simplify divide that entire function by 3.

f(x) = 6x - 18

f(x)/3 = (6x-18)/3

This means that we must divide each term of the binomial by 3, so we are really computing

f(x)/3 = 6x/3 - 18/3

We can simplify by dividing both of the terms.

f(x)/3 = 2x - 6

Therefore, your answer is that f(x/3) = 2x - 18, but f(x)/3 = 2x - 6. It is important to recognize that these are two similar, yet different, answers.

Hope this helps!


8 0
3 years ago
What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin
Ostrovityanka [42]
Y= 3/4x - 2   (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
5 0
3 years ago
What is the probability that a family of 4 children will have all girls?
Alex73 [517]
Since as of now we're saying that the probability of having a girl is 1/2, we can say:
1/2 * 1/2 * 1/2 * 1/2, because then you're saying a one half chance of having a girl times another one half chance of having a girl, etc.
 That ends up to be 1/16.
3 0
3 years ago
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