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3 years ago

If a quadratic equation is given to you in vertex form, what is the vertex?

Mathematics

2 answers:

fomenos3 years ago

8 0

Answer:

(-h,k)

Step-by-step explanation:

vertex form:

y＝a(x-h)^2+k

switch sign of h and you get the x

keep sign of k and you get y

ex- 3(x-5)+7

vertex＝（5,7）

ziro4ka [17]3 years ago

4 0

If for example, you were given y = 2(x-3)^2 + 5, then the vertex is (3,5)

As another example, the equation y = 7(x+1)^2 + 10 has the vertex (-1,10)

The general vertex form is y = a(x-h)^2 + k with the vertex (h,k)

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You have researched your dream around-the-world vacation and determined that the total cost of the vacation will be $39,000. You

wel

Answer:

41.8 years

Step-by-step explanation:

From

$A = P(1+r/n)^{nt}$

A= 39000

r = 10.5%

P = $ 485

n=12

t = the unknown

t= [ ln(A) - ln(P) ] / n[ln(1 + r/n)]

t= ln 39000 - ln 485/ 12[ln(1+0.105/12)]

t= 10.57 - 6.18/0.105

t= 41.8 years

5 0

3 years ago

A unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

kykrilka [37]

Answer: The number of supervisors are 9 times the number of unicorns.

Step-by-step explanation:

Let the number of supervisors be 'n'.

Let the number of unicorns be 'u'.

According to question, a unicorn daycare center requires there to be 2 supervisors for every 18 unicorns.

So, Mathematically, it is expressed as

$\dfrac{n}{u}=\dfrac{2}{18}\\\\\dfrac{n}{u}=\dfrac{1}{9}\\\\9n=u$

so, we established the relationship between the number of supervisors and number of unicorns.

Hence, the number of unicorns are 9 times the number of supervisors.

5 0

3 years ago

Read 2 more answers

You work for a rental car company. If customers return a car with under half a tank of gas, they are charged $7.50 per gallon of

expeople1 [14]

Answer:

<u>The correct answer is C. $ 39.89</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the questions correctly:

Tank capacity = 21 gallons

Cost of gallon of gas when the car is returned with under half a tank = $ 7.50

Cost of gallon of gas when the car is returned with more than half a tank = $ 5.75

Gas in the tank of the rental car = 1,800 fluid ounces

2. How much should you charge the customer to fill the tank?

Let's recall that 1 gallon = 128 fluid ounces

Now, we will answer the question this way, converting the tank capacity from gallons to fluid ounces:

Capacity of the gas tank = 21 * 128 = 2,688 fluid ounces

Like 1,800 is above the 50% of the tank, we will charge $ 5.75 per gallon to fill up the tank

Now, we calculate the cost of gas per fluid ounce, this way:

Cost per fluid ounce = 5.75/128 = $ 0.04492

Finally, we calculate how many fluid ounces the customer has to pay this way:

We will charge the customer = (2,688 - 1,800) * 0.04492

We will charge the customer = $ 39.89

<u>The correct answer is C. $ 39.89</u>

7 0

3 years ago

Helppppppppppppppppppppppppppppppp

Alchen [17]

I think it’s C not sure tho

5 0

2 years ago

How do i do this? (Number 6 only)

Fiesta28 [93]

H=80 ft
Distance from horizon
=sqrt(h/0.57) miles
=sqrt(80/0.57) miles
=11.85 miles.

4 0

3 years ago