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LekaFEV [45]
3 years ago
6

How can you factor three x squared plus twenty five x plus eight??

Mathematics
2 answers:
8090 [49]3 years ago
5 0
(3x^2 + 25x + 8)

(3x + 1 )(x + 8)

hope this helps :)
 
Inessa05 [86]3 years ago
4 0
3x^2 + 25x + 8
= (3x+1) (x+8)

To prove if the answer is correct, you can simply use foil method to find it.

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Compare 4.6, 2.8..., square root 17, 3.9..., square root 8
Basile [38]
1. Square root 17= 289, Square root 8= 64.
289 = 289.00 \:  \: 64 = 64.00
4.6 > 2.8
289.00 > 64.00
289.00 > 4.6
4.6 > 3.9
2.8 < 3.9
Least to greatest:
2.8, 3.9, 4.6, 64.00, 289.00


7 0
2 years ago
Simplify the expression.<br> -2 + 2/5b - 1/4b +6=
OleMash [197]

Answer:

3b/20+4

Step-by-step explanation:

-2 + 2/5b - 1/4b + 6

Combine 2/5b and 1/4b to get 3/20b

-2 + 3/20b + 6

Add −2 and 6 to get 4.

4+3/20b

8 0
2 years ago
Two types of defects are observed in the production of integrated circuit boards. It is estimated that 6% of the boards have sol
aalyn [17]

Answer:

(a) 0.09

(b) 0.06

(c) 0.0018

(d) 0.9118

(e) 0.03

Step-by-step explanation:

Let <em>A</em> = boards have solder defects and <em>B</em> = boards have surface defects.

The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

P(A\cap B)=P(A)\times P(B)

(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

6 0
3 years ago
Linear Programming:
tatuchka [14]
Let the number of large bookcases be x and number of small bookcases be y, then
Maximise P = 80x + 50y;
subkect to:
6x + 2y ≤ 24
x, y ≥ 2

The corner points are (2, 2), (2, 6), (3.333, 2)
For (2, 2): P = 80(2) + 50(2) = 160 + 100 = 260
For (2, 6): P = 80(2) + 50(6) = 160 + 300 = 460
For (3.333, 2): P = 80(3.333) + 50(2) = 266.67 + 100 = 366.67

Therefore, for maximum profit, he should produce 2 large bookcases and 6 small bookcases.
7 0
3 years ago
The area of trapezium is 1586cm² and the distance between sides is 26cm.If one of the parallel sides is 84cm,find the other​
irinina [24]

Check the picture below.

we know the area is 1586, so

\stackrel{\textit{area of a trapezoid}}{A=\cfrac{h(a+b)}{2}}\implies 1586=\cfrac{26(84+b)}{2}\implies 1586=13(84+b) \\\\\\ \cfrac{1586}{13}=84+b\implies 122=84+b\implies 38=b

3 0
2 years ago
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