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nadezda [96]
3 years ago
11

Factor completely x3 + 7x2 + 3x + 21.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0

Answer:

  (x + 7)(x^2 + 3)

Step-by-step explanation:

The two constant terms in the binomials must have a positive product, so both will have the same sign. This eliminates the last two choices.

The coefficient of x^2 is +7, which eliminates the first choice.

The factorization is shown by the second choice:

  (x + 7)(x^2 + 3)

_____

A caret (^) is used to signify an exponent.

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Marco located the falllow points on a number line which point is not corrtly placed on the number line
mario62 [17]

Question:

Marco plotted the following points on the number line.

Point A: 0.3 Point B:  3/4 Point C: 11/4 Point D: 0.7

Which point did he plot incorrectly?

Answer:

Point D

Step-by-step explanation:

Given

Point\ A= 0.3

Point\ B= \frac{3}{4}

Point\ C= \frac{11}{4}

Point\ D= 0.7

Required

The incorrectly plotted point

Number plotted on a number line increases from left to right. This implies that:

A < B < C < D

Substitute the values for the given points

0.3 < \frac{3}{4} < \frac{11}{4} < 0.7

Express as fractions

0.3 < 0.75 < 2.75 < 0.7

Up till 2.75, the order of the numbers is correct.

However, 0.7 is less than 0.75 and 2.75

So, 0.7 is not placed correctly.

<em>This implies that point D is not correctly placed</em>

7 0
3 years ago
HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!!!
Ainat [17]
First find the area of the whole square. Even the part that isn't part of the area. Then find the area of the spots that aren't part of the shape. Then subtract that area from the area of the whole thing.

15×18=270
(9x12)+(4×5)=128
270-128=142

Area= 142ft^2
5 0
3 years ago
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A Samsung Galaxy tablet sells for $299, which is marked up 40% of the selling price. What's the cost of the tablet?
Serjik [45]
The cost will be 119.6.
8 0
3 years ago
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The shadow of a 5-foot tall post is 10 feet long. At the same time, a tree casts a shadow that is 24 feet long. What is the heig
Eddi Din [679]

Answer:

C. 12 feet.

Step-by-step explanation:

The lamp post has a shadow that's twice as long as it'a actual height. The tree's shadow is 24 feet long, so it would be 24/2, which is 12 feet.

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4 years ago
HURRY !!! PLEASE HELP!!
sesenic [268]

Answer:

2. it stays the same even if the angles in the triangle change

a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.

5. it represents the sum of the measures of the interior angles of the triangle

a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.

7. it combines the three interior angles of the triangle to form a straight line

a. same answers as previous

8. it is a straight line with a measure of 180º

a. refer to above

hope this helps :)

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