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Black_prince [1.1K]
3 years ago
12

What is the factored form of y = x² - 12x + 36

Mathematics
1 answer:
djverab [1.8K]3 years ago
7 0
Answer: y = (x - 6)^2

work:

y = x^2 - 12x + 36

y = (x - 6) (x - 6)

y = (x - 6)^2
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What is the slope of the line that contains these points?<br><br>Slope:
Semenov [28]

Answer:

-4

Step-by-step explanation:

Slope formula:

m=y2-y1/x2-x1

I will use (-1,10) and (1,2)

2-10/1-(-1)

Which is

-8/2

Divide:

-4

Thus the slope is -4

Hope this helps!

5 0
2 years ago
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible c
lutik1710 [3]

Answer:

Tamara should expect the sum of the two cubes to be equal to 5 20 times.

Step-by-step explanation:

The sample space of rolling a number cube are:

S = {1, 2, 3, 4, 5, 6}

If two such cubes are rolled together, then the sum of the two cubes will be 5 for the combinations below:

S₁ = {(1, 4), (2, 3), (3, 2) and (4, 1)}

The total number of outcomes will be, <em>N</em> = 36.

Compute the probability that the sum of rolling two numbered cubes as follows:

P(\text{Sum}=5)=\frac{4}{36}=\frac{1}{9}

Let <em>X</em> = number of time the sum of the two numbers on two cubes is 5.

Two numbered cubes are rolled <em>n</em> = 180 times.

The event of getting a sum of 5 in independent of the other results.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 180 and <em>p</em> = \frac{1}{9}.

The expected value of <em>X</em> is:

E(X)=np

Compute the expected number of times Tamara expects the sum of the two cubes to be equal to 5 as follow:

E(X)=np\\=180\times \frac{1}{9}\\=20

Thus, Tamara should expect the sum of the two cubes to be equal to 5 20 times.

8 0
3 years ago
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zmey [24]

Answer:

Volume = 12×9×6 = 648 inches^3

Step-by-step explanation:

Hope this helps! Have a nice day!

5 0
3 years ago
A television normally sells for $320. This week, it's on sale at 60% of the normal price. What is the sale price?
KIM [24]
60%=60/100=0.60

320*.60=192

Answer=$192
8 0
3 years ago
Read 2 more answers
Tessellation that use more than one type of regular polygon are called regular tessellations
NARA [144]

Answer:

FALSE

Step-by-step explanation:

A tessellation refest to a shape that is repeated over and over again covering a plane without any gaps or overlaps. The statement is false given that regular tessellations use only one polygon. Semi-regular tessellations are created with more than one type of regular polygon.

8 0
3 years ago
Read 2 more answers
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