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Lena [83]
4 years ago
14

Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6

Mathematics
1 answer:
mart [117]4 years ago
5 0

Answer:

Final answer is (4x^2+3)(x+2).

Step-by-step explanation:

Given expression is 4x^3+8x^2+3x+6.

Now we need to factor that by the method of grouping.

So make two groups having first two terms and then last two term.

Factor each group then factor once more.

=4x^2(x+2)+3(x+2)

=(4x^2+3)(x+2)

It can't be factored anymore so the final answer is (4x^2+3)(x+2).

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Gre4nikov [31]

Answer:

m=3,x=-5 solveing the sysytem of equations

Step-by-step explanation:

8 0
3 years ago
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7/28 in simplest form
vampirchik [111]
\frac { 7 }{ 28 }

28 is 4 times 7, so we will rewrite it like that.

28=4\cdot 7\\ \\ \frac { 7 }{ 28 } =\frac { 7 }{ 4\cdot 7 }

7 is 7 times 7, so we will rewrite it like that.

\frac { 7 }{ 28 } =\frac { 7 }{ 4\cdot 7 } =\frac { 1\cdot 7 }{ 4\cdot 7 } =\frac { 1 }{ 4 } \cdot \frac { 7 }{ 7 } =\frac { 1 }{ 4 } \cdot 1=\frac { 1 }{ 4 }

So the simplest form is,

\boxed { \frac { 1 }{ 4 }  }
8 0
4 years ago
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Franklin school is having a Popsicle party for its nine hundred fifty four students.The secretary there will some Popsicle left
mr Goodwill [35]

Answer:

175 boxes

Step-by-step explanation:

There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.

1,908 / 12 = 159 boxes

Since there are 25 boxes per carton we divide 159 by 25

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Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of

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Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.

4 0
3 years ago
Find the values of x and y that make k || j and <br> m || n.<br><br> x = <br><br> y =
Contact [7]
So,
a parallelogram is forming here

then, opposite angels are going to be equal

so,
y = (x+50)°


now,
as you know that sum of all angles of a quadrulateral equals 360°
so,

2 {(x+50)+(x-30)}=360°
(x+50)+(x-30) = 180°
2x + 20 = 180
2x = 160
x = 80°


therefore,

angle y = (x+50) = 80 +50 = 130°
and x = (x-30) = 80 - 30 = 50°
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4 years ago
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How. to know if your data is numerical or categorical​
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Answer:

See in details.

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Categorical data don't have any logical order and it can't be translated into a numerical value.

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