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meriva
3 years ago
12

Factor by grouping x^3-4x^2+7x-28

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

(x - 4)(x^2 + 7)

Step-by-step explanation:

x^2 is a factor of the first two terms:  x^3 - 4x^2 = x^2(x - 4).

7 is a factor of the last two terms:  7(x - 4).  

Note how (x - 4) is a factor of the entire four-term expression given above.

Then:   x^3-4x^2+7x-28 = (x - 4)(x^2 + 7)

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-1.3n =7.8 need help​
xxMikexx [17]

Hey there!

-1.3n = 7.8

First, you have to DIVIDE both sides by -1.3

-1.3n / -1.3 = 7.8 / -1.3

Cancel out: -1.3 / -1.3 because it gives you the value of 1

Keep: 7.8 / -1.3 because it gives us the value of n

7.8 ÷ -1.3 = -6

Thus, n = -6 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

7 0
3 years ago
Please explain to me how 3.2÷4=0.8 is done
DedPeter [7]

To make it easier just assume there is no decimal point then just work out the 32÷4 where we know that 4 goes into 32 8 times so you get 8 remember the decimal point and since it was one decimal place you will push the decimal over to the left of 8 and that is how you get 0.8

4 0
2 years ago
Read 2 more answers
26 eggs in a carton were broken. this was 5% of the total number of eggs in the carton. how many eggs were in the carton altoget
lesya692 [45]

Answer:

520 eggs

Step-by-step explanation:

5%*2 is 10%.

10%*10 is 100%,that is the full carton of eggs.

26*2*10 is 520.

There were 520 eggs in the carton altogether.

Hope this helps :)

8 0
2 years ago
State whether the following statements are true or false, and explain your reasoning.
Masja [62]

Answer:

Step-by-step explanation:

a) A square is a rectangle.   True

Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.

A square hold all these properties. A square is  a rectangle.

b) A polygon with 21 sides has 432 possible diagonals. False

Reason: Number of diagonals of a polygon = \frac{n(n-3)}{2}

n --> number of sides of a polygon.

= \frac{21*18}{2} = 189 diagonals

c) All three angles in an Isosceles triangle are equal. False

Reason: In an isosceles triangle, two angles are equal.

If three angles are equal, then that is an equilateral triangle.

d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.

Reason: The sum of measures of the exterior angles  of any polygon is 360

6 0
2 years ago
Read 2 more answers
Find the area of a slice of a 16 inch pizza that is cut into 8 slices
VARVARA [1.3K]

Answer:

≈ 25 in²

Step-by-step explanation:

The general formula for the area of a circle is:

A=πr²

A = (3.14)(8²)

Since the size of the pizza is 16 inches across, the radius is half of that, or 16÷2 = 8 inches.

A ≈ 201 in²

Since there 8 slices of pizza, you can take the total area and divide by 8:

201 ÷ 8 ≈ 25 in²

6 0
2 years ago
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