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3 years ago

What is the equation in vertex form of the quadratic function that has a vertex at (6,-7)

Mathematics

1 answer:

Alona [7]3 years ago

7 0

Good evening

Answer:

f(x) = (x - 6)² − 7.

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ANSWER ME PLZ THANKS

nignag [31]

Answer:

Step-by-step explanation:

6 0

3 years ago

What is (-i)^5? A. 1 B. i C. -1 D. -i

jenyasd209 [6]

Answer:

I'm pretty sure that it's -i

3 0

3 years ago

Read 2 more answers

Exact value of the function for the given x-value f(x) = 5x for x = -1

fgiga [73]

-5, because when plugging the -1 in for x then multiplying it by 5, you get -5

3 0

3 years ago

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

2 years ago

Valerie Watkins is preparing walnut and raisin mix. Walnuts cost $2 per pound and raisins cost $3 per pound. She wants to spend

iragen [17]

Answer:

7.5 pounds

Step-by-step explanation:

multiply by 3.

3x+3y=30

2x+3y=22.5.

x=7.5.

7.5+2.5=10.

7.5 pounds of walnuts, 2.5 pounds of raisins.

Hope this helps :D

4 0

3 years ago