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NARA [144]
3 years ago
10

decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b2 − 4ac 2a u

se the part of the quadratic formula that you chose above and find its value, given the following quadratic equation: 2x2 7x 3 = 0
Mathematics
2 answers:
Romashka [77]3 years ago
4 0

Answer:

Step-by-step explanation:

A quadratic equation can be factorised if and only if there are rational roots.

For any quadratic equation the discriminant decides about the nature of roots.

Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.

In the given equation

2x^2+ 7x+ 3 = 0\\a=2, b=7, c=3\\b^2-4ac = 1

Since 1 is a perfect square we can factor and solve

2x^2 +7x +3 = 0\\(2x+1)(x+3)=0\\x=-1/2 or x = -3

Neko [114]3 years ago
3 0
If b^2 - 4ac is a perfect square, then the equation can be solved by factoring.

2x^2 + 7x + 3 = 0

a = 2, b = 7, c = 3

b^2 - 4ac = 7^2 - (4 x 2 x 3) = 49 - 24 = 25
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Please help!! Much appreciated.
cestrela7 [59]

Answer:

( x - 7)^2=1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Tanner has a budgeted no more than $20 a month for entertainment and an additional $15 for possible one-time fees. If Tanner has
sesenic [268]
Let the number of months = x , and total budget = y

<span>An inequality to represent the situation:

y  \leq 20     x + 15

For budget = $155
∴ 155 = 20 x +15
    solve for x
    20 x = 155 - 15 = 140
∴ x = 140/20 = 7

∴ T</span>he greatest number of months = 7 <span>months.</span>
4 0
3 years ago
Help me quick please --4x-7-3x+4=25
V125BC [204]

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>32</u></em></h2>

Step-by-step explanation:

4x - 7 - 3x + 4 =25

=> 4x - 3x = 25 + 7

=> <em><u>x = 32 (Ans)</u></em>

3 0
3 years ago
Read 2 more answers
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
I will give Brainliest !
Sidana [21]

Answer:i believe it’s A

Step-by-step explanation:

4,5,3 are almost the same and almost the same rotation just letters are different

3 0
2 years ago
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