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serious [3.7K]
2 years ago
12

Complete the area model representing the polynomial x2 − 11x + 28. What is the factored form of the polynomial? Use the model to

rewrite the expression.
Mathematics
1 answer:
qwelly [4]2 years ago
7 1

Answer:

\boxed{\sf  \ \ \ (x-4)(x-7) \ \ \ }

Step-by-step explanation:

Hello,

from the expression we can say that the sum of the two zeroes is 11 and the product is 28

4 + 7 = 11

4 * 7 = 28

so we can write

x^2-11x+28=(x-4)(x-7)

hope this helps

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Suppose we roll a fair six-sided die and sum the values obtained on each roll, stopping once our sum exceeds 285. Approximate th
OlgaM077 [116]

Answer:

1

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)

Number of possible outcomes = 75, number of total outcomes = 290

Probability (75 rolls are needed to get this sum) = 75/290 = 0.259

Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741

Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1

4 0
2 years ago
Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room
Alenkasestr [34]

Answer:

f(x)=-0.5x+40

Step-by-step explanation:

To solve this problem, we need to find the linear function. We know that the constant rate of change is -0.5° Celsius per minute. Also, after 60 minutes the temperature was 10° Celsius. So, we have a one point and the slope of the linear function, let's use the point-slope formula

y-y_{1} =m(x-x_{1} )\\y-10=-0.5(x-60)\\y=-0.5x+30+10\\y=-0.5x+40

Where the y-intercept is at (0, 40).

Now, we have two points to graph the relation between minutes and Celsius degrees.

Therefore, the room's temperature as a function of time is

f(x)=-0.5x+40

Its graph is attached.

5 0
2 years ago
Use long division to find a repeated decimal equivalency for the fraction. Include all of your work as part of your final answer
DIA [1.3K]
8/9


-----\
8

-------\9
8.0

.8
-------\9
80
-72
-------
8

This process will just repeat forever so the answer is .8888888 repeating
So the answer is 1 and 1/9 or 1
3 0
2 years ago
Giuseppe is studying shark attacks around the world and finds that most such attacks occur during the day. He concludes that sha
HACTEHA [7]

Answer:

C) not justified, since people usually swim in the ocean during the day.

5 0
2 years ago
Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?
Lena [83]

Answer:

B

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B



8 0
2 years ago
Read 2 more answers
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