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Rama09 [41]
1 year ago
9

Don't understand letter K can u write the equation of the described function in standard form

Mathematics
1 answer:
hram777 [196]1 year ago
4 0

The general or standard form of a parabola is

(y-k) = a(x+h)^2

h,k are the intersection points of parabola

Intersection points are where y= 0, or x=0

itsnorigin at (,0,0)that means h=0, k=0

it passes through points (-1,2) and (1,2)

So then

y= ax^2 , 2 = a (-1)^2

this means a= 2

Then results standard form equation

Y = 2• X^2

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4 0
3 years ago
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A bakery sells 6350 muffins in 2010. The bakery sells 8310 muffins in 2015. Write a linear model that represents the number $y$
Korvikt [17]

Answer:

y = 392x + 6350

Step-by-step explanation:

Here, we calculate the average rate of change in the number of muffins sold between the two years

Mathematically that will be the difference in number of muffins divided by the number of years

We have this as;

(8310-6350)/(2015-2010)

= 392

an average of 392 muffins were sold in a year

The general form of the equation of a straight line is;

y = mx + c

we have m as 392

so;

y = 392x + c

To get c, we make a substitution

2015 is 5 years after 2010, so x will be 5 and y will still be 8310

so;

8310 = 392(5) + c

c = 8310 - 2960

c = 6350

So the equation is;

y = 392x + 6350

8 0
3 years ago
Paula has a dog that weighs 3 times as much as Carla's dog. The total weight of the dogs is 48 pounds. How much does Paula's dog
spayn [35]
Let the weight of Paula's dog be x
Let the weight of Carla's dog be y

We know that the weight of Paula's dog is 3 times that of Carla's dog, therefore:
x = 3y ...........> equation I

We also know that the sum of the weights is 48 pounds, therefore:
x + y = 48 ............> equation II

Substitute with equation I in equation II:
3y + y = 48
4y = 48
y = 12 pouds

Substitute with the value of y in equation I:
x = 3(12) = 36 pounds

Based on the above calculations:
Paula's dog weighs 36 pounds
Carla's dog weighs 12 pounds
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garik1379 [7]

Answer:

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Step-by-step explanation:

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Papessa [141]

Answer:

The provided equation is an identity.

Step-by-step explanation:

4 0
3 years ago
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