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zhuklara [117]
2 years ago
13

Factor completely 4xy + 9x + 24y + 54.

Mathematics
2 answers:
Makovka662 [10]2 years ago
5 0
(x+6)(4y+9) yes it is D.
Levart [38]2 years ago
5 0

Answer:

(D ) ( 4y + 9 ) ( x + 6 ) is correct option.

Step-by-step explanation:

Given : 4xy + 9x + 24y + 54.

To find  : Factor completely.

Solution : We have given that  4xy + 9x + 24y + 54.

Interchanging  the terms 9x and 24 y.

4xy + 24y + 9x + 54.

Taking common 4 y from first two terms  and 9 from last two terms .

4 y ( x + 6 ) + 9 ( x + 6 )

On grouping

( 4y + 9 ) ( x + 6 ).

Therefore, (D ) ( 4y + 9 ) ( x + 6 ) is correct option.

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Percy is 8 years older than Ginny. In ten years time he will be three times Ginnys present age. How old is Percy now?
LekaFEV [45]
Now,
G - Ginny's age.
P=G+8, Percy's age.

In 10 years,
G + 10 - Ginny's age in 10 years.
P+10 -  Percy's age in 10 years.

<span> In ten years time Percy (P+10) will be three times Ginnys present age (3G).
P+10=3G

Now we have 2 equations, and we can write a system of equations.

</span>(1)     P=G+8
(2)     P+10=3G  -------> G=(P+10)/3, we need to substitute it into equation 1.

( P=(P+10)/3+8)   /*3
3P=P +10+24
2P = 34
P = 17

Percy is 17 years old now.

Check,
P=17, G=17-8=9
P+10=3G , 17+10=3*9, 27 = 27 True
5 0
2 years ago
A student has a bag of marbles. There are 75 blue marbles, 50 green marbles, 100 orange marbles, and 25 red marbles. They select
Lisa [10]
The probability is 25% chance
7 0
3 years ago
Cos(theta)= -.9041, 180degress&lt; theta &lt;270degress
AVprozaik [17]

Answer:

\theta=205.298^o

Step-by-step explanation:

We know

cos\theta=-.9041

in the third quadrant 180^o

We use a scientific calculator to find the inverse cosine of -0.9041 to find

\theta=154.702^o

Since this angle is not in the required quadrant we must find the other angle who has the same cosine. The required angle is equidistant from the found value from the 180 degrees angle, so our solution is

\theta=180^o+(180^o-154.702)=205.298^o

7 0
3 years ago
If the outlier is removed, which measure will not change?<br><br> mean<br> median<br> mode<br> range
Elena-2011 [213]

Answer:

Out of mean, median, mode, and range, the answer to this question is mode. If an outlier is removed, mode will not change. Hope this helps!

5 0
2 years ago
Write an absolute value inequality for the graph below. Use x for your variable. ​
Gnoma [55]

Answer:

|x| ≥ 7

Step-by-step explanation:

Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.

7 0
2 years ago
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