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Nina
10 days ago
7

What method would you choose to solve the equation 2x2 – 7 = 9? Explain why you chose this method.

Mathematics
2 answers:
babunello [3.6K]10 days ago
8 0

Sample Answer/Explanation: I would apply the square root property of equality. Since there is no x term present, my approach would be to simply add and divide to isolate x². After that, I would extract the square root.

Svet_ta [4.3K]10 days ago
7 0

To solve this problem, I would add 7 to obtain...

... 2x² = 16

Next, I would divide by 2 to yield

... x² = 8

I would then take the square root, noting that both positive and negative solutions exist.

... x = ±√8

This root can be simplified to give...

... x = ±2√2

_____

This method appeared to be the most straightforward to me. Although one could apply the quadratic formula, that entails more steps.

... 2x² -16 = 0.... continuing by subtracting 9

... x = (-0 ± √(0² -4·2·(-16)))/(2·2).... inserting the coefficients into the formula

... x = ±(√128)/4 = ±√8 = ±2√2..... simplifying the final expression

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Answer:

Crearemos una tabla con estos valores según diferentes valores de x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27        150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Por lo tanto, la función que mejor representa los datos es:

Opción C.

y=26.9x-1.3

Explicación paso a paso:

4 0
9 days ago
Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14
tester [3938]

Answer: 56/81

Step-by-step explanation:

refer to the attached document

3 0
6 days ago
How is 2 ones the same has 20 tenths
Svet_ta [4341]
The equivalence exists because tenths represent one-tenth of a whole. Having 20 tenths means multiplying 20 by 1/10, resulting in 20/10, which simplifies to 2 wholes. Conversely, expressing 2 as 20 tenths yields the same amount.
6 0
14 days ago
Read 2 more answers
James has t toy cars and Paul has 13 more. How many cars will James have if Paul gives him half of his cars?
zzz [4035]

James will retain his original t toy cars along with half of (t+13) cars, resulting in a total of...

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6 0
11 days ago
People arrive at a college admissions office at rate 1 per minute, and the arrival is a Poisson process. When k people have arri
babunello [3666]

Answer:

K=20

Step-by-step explanation:

The question appears to lack any elements of randomness.

An arrival rate of one per minute is constant.

Next, calculate the average expense incurred by each individual to attain a four, which includes the cost of the guide alongside the expense of waiting.

This leads us to K, representing the anticipated number of attendees.

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= 1/2(K-1)K.

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By setting the derivative to zero, we find that

K=20

7 0
4 days ago
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