MATHEMATICS HIGH SCHOOL

Solve the following equations.X^2 + 5x + 6 = 0
(Factorise)

X^2 + 7x + 11 = 0
(Use the quadratic formula)

Answers

Answer 1
Answer: facotr
ax^2+bx+c=0
find what 2 number multiply to c and add to b
what 2 numbers multiply to 6 and add to 5
2 and 3
(x+2)(x+3)=0
set to zero
x+2=0
x=-2
x+3=0
x=-3
x=-2 or -3



other one
for ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

we are given
x^2+7x+11=0
a=1
b=7
c=11

sub
x=\frac{-7+/- \sqrt{7^(2)-4(1)(11)} }{2(1)}
x=(-7+/- √(49-44) )/(2)
x=(-7+/- √(5) )/(2)
x=(-7+ √(5) )/(2) or (-7- √(5) )/(2)

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Mr.Anderson drove 168 miles in 3 1/2 horurs. He then drove the next 2 1/4 hours at a rate of 5 miles faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hours?

Write as a fraction 7^-2

Answers

Answer: (1)/(49), or ~0.02040816326

1. Use formula:
a^(-m) = (1)/(a^(m))

2. Replace values:


So the answer is (1)/(49), or 0.020408163264… (~0.02041)

I know this may not interest you but i got something special with fraction (1)/(49). If you divide it in score you get sequence of powers of 2:

0.020408163264..

(02) is power of 2
(04) also
(08) also
(16) also
(32) also
(64) also

Hope this helps!

C2d3 has a solubility product constant of 9.14×10−9. what is the molar solubility of c2d3?

Answers

The correct answer for the question that is being presented above is this one:

We need to express the ksp expression of C2D3
C2D3
= (2x)2(3x)3
= 108x5 

Then set that equation equal to your solubility constant 

9.14x10-9 = 108x5 
x = 9.67x10-3 

So the molar solubility is 9.67x10-3

Compare 1⁄2 with 3⁄4 using ( <, >, =).

Answers

1/2< 3/4 
Think of it as decimals 
1/2 is .50 and 3/4 is .75 
Hope this Helps :)
As you can see above, 3/4 is larger than 1/4. The larger the numerator, the larger the fraction. so >

(9* 1010) - (4 * 1010) =
How to answer

Answers

For this you will utilize PEMDAS. So work what’s in the parenthesis first.

(9090) - (4040)

Then subtract both of them.

5050

Answer: 5050

One year consumers spent an average of $23 on a meal at a restaurant. Assume that the amount spent on a restaurant meal is normally distributed and that the standard deviation is $6. Complete parts​ (a) through​ (c) below.a. What is the probability that a randomly selected person spent more than $28?=0.2033
b. What is the probability that a randomly selected person spent between $9 and $21?=0.3608

Answers

The probabilities regarding a person spending are given as follows:

a) More than 28: 0.2033 = 20.33%.

b) Between 9 and 21: 0.3608 = 36.08%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by \mu and standard deviation symbolized by \sigma is obtained by the rule presented as follows:

Z = (X - \mu)/(\sigma)

  • The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.
  • Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.

The mean and the standard deviation for this problem are given as follows:

\mu = 23, \sigma = 6

The probability of a person spending more than 28 is one subtracted by the p-value of Z when X = 28, hence:

Z = (28 - 23)/6

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

1 - 0.7967 = 0.2033 = 20.33%.

The probability of spending between 9 and 21 is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 9, hence:

Z = (21 - 23)/6

Z = -0.33

Z = -0.33 has a p-value of 0.3707.

Z = (9 - 23)/6

Z = -2.33

Z = -2.33 has a p-value of 0.0099.

Hence:

0.3707 - 0.0099 = 0.3608 = 36.08%.

More can be learned about the normal distribution at brainly.com/question/25800303

#SPJ1

Which statements describe the sequence –3, 5, –7, 9, –11, …? Check all that apply. The sequence has 5 terms. The 4th term of the sequence is 9. f(5) = 2 The domain of the sequence is all natural numbers. (4, 9) lies on the graph of the sequence.

Answers

The correct statements are

  • The 4th term of the sequence is 9.
  • The domain of the sequence is all-natural numbers
  • And, (4,9) lies on the graph.

Given that,

  • The sequence is -3, 5, -7, 9, -11, …...

Based on the above information, the following information should be considered:

  • The given sequence contains an infinite no of terms. A
  • Also, the infinite series does have the domain for all natural numbers.
  • That means the domain of the given sequence should be equivalent to the natural numbers set.
  • As the 4th term should be 9. So, it is (4,9).
  • And, the 5th term should be -11 so it should be f(5) = -11.

Therefore we can conclude that the above statements should be considered true.

Learn more: brainly.com/question/18109692

Answer: The correct statements are, The 4th term of the sequence is 9, The domain of the sequence is all natural numbers, and (4,9) lies on the graph.

Step-by-step explanation:

Since, the given sequence, –3, 5, –7, 9, –11, …..

So, we can say that the above sequence has infinite number of terms.

And, we know that the infinite series has the domain of all natural numbers.

So the domain of above sequence = set of all natural numbers.

Since, the 4th term of the sequence = 9

Therefore (4,9) lie on the graph of sequence.

And the 5th term of the function = -11

therefore f(5) = -11

Thus, from the above explanation we can determine the correct statements.
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