Which of the following methods would be the easiest to use to solve x2 + 4x + 3 = 0?

2 answers:

8 0

I would choose A. factoring.

Personally, factoring is the method of my choice and I use it whenever possible. Isolating the x² would take a lot more unnecessary steps for solving, and the quadratic formula isn't the simplest way to solve.

Hope this helps. Good luck! :)

tresset_1 [31]3 years ago

6 0

It would be easier to do A

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You have two parents, four grandparents, eight greatgrandparents, and so forth.

Leviafan [203]

A.
In the first generation we have 2 ancestors.
In the second generation we have 4 ancestors or $2^{2}$ ancestors.
In the third generation we have 8 ancestors ot $2^{3}$ ancestors.

We can see that each succesive generation has two times more members. The sum is:
$2+4+8+16+...+ 2^{40}$

To calculate number of ancestors we can use formula for the sum of a geometric sequence. Geometric sequence is sequence of numbers that differ by a certain factor. This factor is called ratio. Formula is:
 $S= a_{1} * \frac{1- r^{n} }{1-r}$
Where:
S -> sum
a1 -> first member of a sequence
r -> ratio
n -> number of elements

For this question:
a1 = 2
r = 2
n = 40
 $S= 2* \frac{1- 2^{40} }{1-2} =2 199 023 255 550$

b.
1 generation = 25 years
40 generations = 40 * 25 = 1000 years

c.
Total number of people who have ever lived = $10^{10}$
Number of ancestors in 40 generations = $2.2*10^{12}$

The number of ancestors is greater than total number of people who have ever lived. This means that not all ancestors were distinct and that in each generation both men and women had children with more than one partner.

8 0

3 years ago

Determine the equation of the line shown in the graph: x = 3 y = 3 y = 0 x = 0

Leona [35]

X = 3, since the 3 on the X-Axis is marked and not 3 on the Y-Axis

5 0

3 years ago

Leo makes a cake by mixing flour, eggs and sugar in the ratio 5 : 3 : 2. If he uses 120 g of sugar, what weight of eggs will he

Verdich [7]

Answer:

180g of eggs

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A taxi charges $7.50 plus $0.45 per mile.

poizon [28]

$7.50(2)=$15.00 (She takes the taxi twice, and its $7.50 each time she takes it)
$0.45(16)+$0.45(8)=$10.80 (Each mile is $0.45, she goes 16 miles on the way to work, and only 8 miles on the way home. Since she walks half way and takes the taxi the other half. Half of 16 is 8)
$15.00+$10.80=$25.80
Alexis pays $25.00 per day for her taxi rides.

6 0

3 years ago

Find the volume of the given prism. Round to the nearest tenth if necessary.

Alisiya [41]

Hello!

To find the volume of a rectangular prism you do hwl

h is height
w is width
l is length

4.2 * 5.3 * 12.1 = 269.346

The answer is 269.3 cubic centimeters

Hope this helps!

6 0

3 years ago