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
igomit [66]
3 years ago
11

Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=5x^2or g(x)=-5x^2, but with a gi

ven maximum of minimum
Maximum=2 at x=-4
Mathematics
1 answer:
pickupchik [31]3 years ago
4 0
F(x)=5x^2 Has minimum (0,0)

g(x) = f(x) + 2 Shifts the graph two units up, then the minimum is 2+0=2.

h(x) = g(x+4) Shifts the graph four units left,  then the minimum is at 0-4 = -4.

Then h(x) = 5(x+4)^2 + 2 has the minimum (-4,2)

And p(x) = -5(x+4)^2 + 2 has the maximum (-4,2)
 
You might be interested in
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to fi
Keith_Richards [23]

Answer:

P(X = 12) = 0.0064.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

n = 30, p = 0.2

We want P(X = 12). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{30,12}.(0.2)^{12}.(0.8)^{18} = 0.0064

P(X = 12) = 0.0064.

6 0
3 years ago
Find the value of x if a linear function goes through the following points and has the following slope: (x,2), (-4,6), m=3
Anastasy [175]

The slope is defined as

m=\dfrac{\Delta y}{\Delta x}=\dfrac{6-2}{-4-x}

So, we have the follwing equation:

\dfrac{6-2}{-4-x} = 3 \iff 4 = 3(-4-x) \\\iff 4=-12-3x \iff16=-3x \iff x = -\dfrac{16}{3}

6 0
3 years ago
Read 2 more answers
PLEASE HELP!!! 50 POINTS AWARDED!!
sladkih [1.3K]

Answer:

answers below

Step-by-step explanation:

1. no

2. yes

3. no

4. yes

5. no

6. yes

7. no

8. no

9. no

10. no

11. no

12. yes

5 0
4 years ago
Read 2 more answers
PLEASE HELP!!!!!
Ne4ueva [31]

Answer:

Equation: 30=2(x-2)+2(2x+3)

x:\frac{14}{3}

Step-by-step explanation:

By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.

Knowing this, you can write the following equation:

P=2(x-2)+2(2x+3) <em> [Equation 1]</em>

According to the data given in the exercise, the perimeter in feet of the fighter is:

P=30

Therefore, you can substitute this values into<em> [Equation 1]:</em>

30=2(x-2)+2(2x+3)

Finally, you must solve for "x" in order to find its value. This is:

30=6x+2\\\\30-2=6x\\\\\frac{28}{6}=x\\\\x=\frac{14}{3}

3 0
3 years ago
Cual es el valor de un esfero cuando la docena se compra en $7848? Area de un triangulo de 9 unidades de base y 6 unidades de al
aniked [119]

Answer:

a) $654

b) 27 unidades cuadradas

c) 721

Step-by-step explanation:

a) ¿Cuál es el valor de un bolígrafo cuando la docena se compra por $ 7848?

Una docena = 12

Por eso:

12 bolígrafos = $ 7848

1 bolígrafo = $ x

Cruz multiplicar

12 bolígrafos × $ x = 1 bolígrafo × $ 7848

$ x = 1 bolígrafo × $ 7848/12

$ x = $654

b) Área de un triángulo ¿9 unidades de base y 6 unidades de altura?

Área de un triángulo =

= 1/2 × Base × Altura

1/2 × 9 × 6

= 27 unidades cuadradas

c) Cien veces la suma de 4.5 con 2.71

Esto se calcula como:

100 × (4,5 + 2,71)

= 100 × (7.21)

= 721

6 0
3 years ago
Other questions:
  • 2/3[8(5-2)^2 +3*2]<br> How do I distribute the 2/3? And then solve the rest!
    9·1 answer
  • Roy uses 1/4 cup of batter for each muffin. Which list shows the amounts of batter he will use depending on the number of muffin
    13·2 answers
  • The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
    11·1 answer
  • Which number has the Same value as 30 tens
    5·2 answers
  • John's Bikes uses the retail inventory method. Sales at retail were $120,000. Net purchases were $68,000 at cost and $124,000 at
    11·1 answer
  • Solve the proportion and round the answer to the nearest hundredth
    14·2 answers
  • Select all the descriptions that<br> apply to the transformation.
    9·2 answers
  • (3p - 7) + 3(5p - 6) =
    15·1 answer
  • Find the volume of each solid. Round to the nearest tenth if necessary. Use 3.14 for or<br> 22/7
    12·1 answer
  • What are the steps to multiplying a decimal times a decimal?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!