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Klio2033 [76]
3 years ago
8

Write the equation for the quadratic function in standard form

Mathematics
1 answer:
Ede4ka [16]3 years ago
8 0

Answer:

y=x^2+6x+7

Step-by-step explanation:

To write the quadratic in standard form, begin by writing it in vertex form

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

Where (h,k) is the vertex of the parabola.

Here the vertex is (-3,-2). Substitute and write:

y=a(x--3)^2+-2\\y=a(x+3)^2-2

To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (0,7) a y-intercept of the parabola.

7=a((0)+3)^2-2\\7=a(3)^2-2\\7=9a-2\\9=9a\\1=a

The vertex form of the equation is y=(x+3)^2-2.

To write in standard form, convert vertex form through the distributive property.

y=(x+3)^2-2\\y=(x^2+6x+9)-2\\y=x^2+6x+7

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In the regular decagon shown, what is the measure of angle 1?
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Answer:

try 36 but im not quite sure

Step-by-step explanation:

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6 0
2 years ago
Sonya took out a mortgage of $65,000 at 7% for 25 years. What is the cost of the mortgage?
Vika [28.1K]

The cost of the mortgage is $81250

<h3>What are interests?</h3>


Interests are percentages of a principal

Given the following parameters

Principal = $65000

Rate = 7% = 0.07
Time = 5 years

<h3>Calculate the interest</h3>

I = PRT/100
I = 65000*0.07*25
I = 16,250

<h3>Determine the cost of the mortgage</h3>

Cost of mortgage = Principal + Interest

Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250

Hence the cost of the mortgage is $81250

Learn more on mortgage here: brainly.com/question/22846480

5 0
2 years ago
Read 2 more answers
Answer questions Correctly for brainly​
morpeh [17]

Answer:

x=\frac{13}{6}

Step-by-step explanation:

2x +2/3=5

x=13/6

5 0
3 years ago
5. Write the conversion factor for converting meters to centimeters.
BARSIC [14]

Answer:

Third option

O 100 cm

1m

Step-by-step explanation:

100cm \div  {10}^{2}  = 1m \\ hope \: this \: helps.. \\ good \: luck

8 0
3 years ago
the sum of 2 numbers is 49. Twice the smaller number is 97 less than 3 times the larger number. What are the numbers?
ivanzaharov [21]

Answer:

let the larger and  smaller number be x and y respectively

first condition

x + y = 49

second condition

3x = 2y+97

3x-2y =97

Multiplying first condition by two and adding both equations

2x + 2y = 98

<u>3x -2y = 97</u>

5x =  195

x = 195/5 = 39

putting the value of x in

x + y = 49

y = 49 -39 = 10

again

Step-by-step explanation:

3 0
2 years ago
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