1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
user100 [1]
3 years ago
14

3(x + 5)2 + 6 vertex

Mathematics
1 answer:
Tanya [424]3 years ago
5 0

Answer:

The equation does not match the form of any conic section.

Not a Conic Section

Step-by-step explanation:

You might be interested in
If a single card is drawn from a standard 52-card deck, what is the probability that it is an ace or a spade?
klasskru [66]

A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.

There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.

The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.

However, if the question were to say "and," we would multiply the two probabilities.

Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).

\frac{1}{4} -- > \frac{13}{52}

\frac{1}{13} -- > \frac{4}{52}

Now we can add them together.

\frac{13}{52} + \frac{4}{52} = \frac{13+4}{52} = \frac{17}{52}

This cannot be simplified further, so the probability is 17 in 52, or 33%.

hope this helps!

7 0
1 year ago
Read 2 more answers
Suppose that we don't have a formula for g(x) but we know that g(3) = −5 and g'(x) = x2 + 7 for all x.
Leni [432]

Answer:

a)

g(2.9) \approx -6.6

g(3.1) \approx -3.4

b)

The values are too small since g'' is positive for both values of x in. I'm speaking of the x values, 2.9 and 3.1.

Step-by-step explanation:

a)

The point-slope of a line is:

y-y_1=m(x-x_1)

where m is the slope and (x_1,y_1) is a point on that line.

We want to find the equation of the tangent line of the curve g at the point (3,-5) on g.

So we know (x_1,y_1)=(3,-5).

To find m, we must calculate the derivative of g at x=3:

m=g'(3)=(3)^2+7=9+7=16.

So the equation of the tangent line to curve g at (3,-5) is:

y-(-5)=16(x-3).

I'm going to solve this for y.

y-(-5)=16(x-3)

y+5=16(x-3)

Subtract 5 on both sides:

y=16(x-3)-5

What this means is for values x near x=3 is that:

g(x) \approx 16(x-3)-5.

Let's evaluate this approximation function for g(2.9).

g(2.9) \approx 16(2.9-3)-5

g(2.9) \approx 16(-.1)-5

g(2.9) \approx -1.6-5

g(2.9) \approx -6.6

Let's evaluate this approximation function for g(3.1).

g(3.1) \approx 16(3.1-3)-5

g(3.1) \approx 16(.1)-5

g(3.1) \approx 1.6-5

g(3.1) \approx -3.4

b) To determine if these are over approximations or under approximations I will require the second derivative.

If g'' is positive, then it leads to underestimation (since the curve is concave up at that number).

If g'' is negative, then it leads to overestimation (since the curve is concave down at that number).

g'(x)=x^2+7

g''(x)=2x+0

g''(x)=2x

2x is positive for x>0.

2x is negative for x.

That is, g''(2.9)>0 \text{ and } g''(3.1)>0.

So 2x is positive for both values of x which means that the values we found in part (a) are underestimations.

6 0
3 years ago
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football
Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

P(F|G)=\frac{n(G\cap F)}{n(G)}

            =\frac{7}{56}\\\\=0.125\\\\=12.5\%

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0
3 years ago
What is -6x+4x simplified
Sveta_85 [38]

It is -2x because -6 + 4 =-2

3 0
3 years ago
Read 2 more answers
1. What number is 59% of $45?
Montano1993 [528]

Answer:

It is $26.55

Step-by-step explanation:

=59% of 45

=59/100*45

We get

=59*45/100

=2655/100

=$26.55

4 0
3 years ago
Read 2 more answers
Other questions:
  • Please help me I got a C plz help me plzzzzz
    14·2 answers
  • In a group of 20 students 25% wear glasses how many do not wear glasses?
    6·2 answers
  • Eric reflected parallelogram ABCD across the x-axis. If angle A is 125° and angle B is 55°, what is the degree measurement of an
    12·1 answer
  • 49 points <br> I don't get my homework <br> What is 968700 + 754800
    11·2 answers
  • Distributive property of 6×83
    15·2 answers
  • What is the greatest common factor of the terms of the polynomial below?
    9·1 answer
  • How many thousands are in 20 hundreds?
    6·1 answer
  • What is the value of the expression below? 14+2+3(4)-(6 1/2 - 3)
    5·1 answer
  • Perrie invests £25000 for 3 years in a saving account. She gets 2.7% per annum compound interest. Calculate the total amount of
    11·1 answer
  • Which expression represents the following statement: x is no less than 0. x&gt;0 x≤0 x≥0 x&lt;0
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!