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slava [35]
3 years ago
7

The roots of a quadratic function are x = -3 and x = 2/3. Which of the following would be the constant term of the equation in s

tandard form?
A. -2
B. 6
C. 2
D. -6
Mathematics
1 answer:
Alla [95]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

Since the roots are known and the function is a quadratic function, we can write down the function:

y = (x+3)(x-2/3) since when the roots are plugged in, the function gives 0.

Standard form means that the function has to be expanded:

y = (x+3)(x-2/3) = x^{2}+3x - 2x/3 - 3*2/3

y = x^{2}+ 7x/3 - 2

The constant term is -2.

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The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots
tester [92]

Answer:

Total number of coffee pot = 16 pots

Step-by-step explanation:

Given:

Time taken for drying all coffee pot = 10 minutes

Total time taken for cleaning and drying coffee pot = 82  minutes

Time taken for clean a coffer pot = 4 ½ minutes = 4.5 minutes

Find:

Total number of coffee pot

Computation:

Total time taken for cleaning = Total time taken for cleaning and drying coffee pot  - Time taken for drying all coffee pot

Total time taken for cleaning = 82 - 10

Total time taken for cleaning = 72 minutes

Total number of coffee pot = Total time taken for cleaning / Time taken for clean a coffer pot

Total number of coffee pot = 72 / 4.5

Total number of coffee pot = 16 pots

8 0
3 years ago
What is the equation in slope-intercept form of the line that passes through the points(-4,2) and (12,6)?
aleksandrvk [35]

Answer:

y=1/4x+3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(12-(-4))=4/(12+4)=4/16=1/4

y-y1=m(x-x1)

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y=1/4x+4/4+2

y=1/4x+1+2

y=1/4x+3

3 0
3 years ago
I need help pls answer this!!!
Digiron [165]

Answer:

90

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Complete the table by providing justification for each step of the proof
exis [7]
4(x² - 2) = 28

1. Distribute the 4
4x² - 8 = -28

2. Plug in 3 and -3
4(3)² - 8 = 28
4(-3)² - 8 = 28

3. Square 3 and -3
4(9) - 8 = 28
4(9) - 8 = 28

28 = 28

The reason both answers are the same is because whenever you put a negative number to an even power, the result becomes positive because any negative multiplied by a negative number is always positive.
28 = 28
5 0
3 years ago
J is the midpoint of hk, h has coordinates (4,−2), and j has coordinates (5,5). find the coordinates of k.
MArishka [77]
Answer. I hope helps you!!

3 0
3 years ago
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