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sleet_krkn [62]
3 years ago
8

Factor completely xy-x+12y-12

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0
X(y-1)+12(y-1)
(y-1)(x+12)
You might be interested in
A building brick weighs 2.7 kilograms. work out the weight of 840 bricks. give the answer in tonnes
Charra [1.4K]

Answer:

2.268 tons

Step-by-step explanation:

Multiply 840 to 2.7 to figure out the weight of 840 bricks.

840 x 2.7 = 2268 kilograms

Convert 2268 kilograms into tons which will be 2.268 tons.

How did I convert? Divide 2268 by 1000 because 1 ton = 1000 kilograms.  

5 0
3 years ago
The graph shows Kendra's morning run:
docker41 [41]
I think the answer is C
4 0
4 years ago
Read 2 more answers
Which of the following functions matches this graph?
Varvara68 [4.7K]

Answer:

C) y = 2 lxl - 4

Step-by-step explanation:

The general form of an absolute value function:

f(x) = a l x - h l + k, where "a" represents vertical stretches, and whether the open up or down.

If a is positive, it open up word.

h and k how far the graph shifts horizontally and vertically.

Here the given graph open up word. Therefore, a is positive.

h = 0 and k  = -4 shifts down.

Therefore, the given graph y = 2lxl -4

The answer is C) y = 2 lxl - 4

Hope you will understand the concept.

Thank you.


3 0
4 years ago
A new post-surgical treatment is being compared with a standard treatment. Seven subjects receive the new treatment, while seven
a_sh-v [17]

Answer:

(17.714-28.714) -2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -19.745

(17.714-28.714) +2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -2.255

Step-by-step explanation:

For this case we have the following info given:

Treatment: 12 13 15 19 20 21 24

Control: 18 23 24 30 32 35 39

We can find the sample mean and deviations with the the following formulas:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s =\sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}

And repaplacing we got:

\bar X_T = 17.714 the sample mean for treatment

\bar X_C = 28.714 the sample mean for treatment

s_T= 4.461 the sample deviation for treatment

s_C= 7.387 the sample deviation for control

n_T= n_C= 7 the sample size for each sample

The degrees of freedom are given by:

df= 7+7-2= 12

The confidence interval for the difference of means is given by:

(\bar X_T -\bar X_C) \pm t_{\alpha/2} \sqrt{\frac{s^2_T}{n_T} +\frac{s^2_C}{n_C}}

The confidence is 98% so then the significance is \alpha=0.02 and \alpha/2 =0.01. Then the critical value would be:

t_{\alpha/2}=2.681

And replacing we got:

(17.714-28.714) -2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -19.745

(17.714-28.714) +2.681 \sqrt{\frac{4.461^2}{7} +\frac{7.387^2}{7}}= -2.255

4 0
4 years ago
How to factorize the following expression?<br>pqr + pr + q + 1​
Sveta_85 [38]
<h3>Answer:  (pr + 1)(q + 1)</h3>

===============================================

Work Shown:

Use the factor by grouping method to get the following.

pqr + pr + q + 1​

(pqr + pr) + (q + 1​)

pr(q + 1) + 1(q + 1)

(pr + 1)(q + 1)

We can use the FOIL rule, distribution, or the box method to expand out  (pr+1)(q+1) to get the original expression again. This helps confirm the answer.

5 0
3 years ago
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