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Nezavi [6.7K]
3 years ago
13

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

9

Step-by-step explanation:

This means that 9/(9+72)=(3x-20)/(3x+36), or 1/9=(3x-20)/(3x+36). Cross-multiply to get that 27x-180=3x+36, so 24x=216, and x=9.

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Let $f(x) = x^2 + 4x - 31$. for what value of $a$ is there exactly one real value of $x$ such that $f(x) = a$?
enot [183]

To solve for this, we need to find for the value of x when the 1st derivative of the equation is equal to zero (or at the extrema point).

So what we have to do first is to derive the given equation:

f (x) = x^2 + 4 x – 31

 

Taking the first derivative f’ (x):

f’ (x) = 2 x + 4

 

Setting f’ (x) = 0 and find for x:

2 x + 4 = 0

x = - 2

 

Therefore the value of a is:

a = f (-2)

a = (-2)^2 + 4 (-2) – 31

a = 4 – 8 – 31

a = - 35

7 0
3 years ago
(2x + 3)/5 = (x - 2)/3<br><br> What is x?
RSB [31]
The answer should be 5 or -5
8 0
2 years ago
In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to
MAXImum [283]
4+3p≥40
He needs to have 40 or more to get to the finals so 4+3p has to be 40 or more
7 0
3 years ago
As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution
Gennadij [26K]

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

<h3>What is the Central limit theorem?</h3>
  • The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
  • Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.

Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.

Learn more about the central limit theorem here:

brainly.com/question/13652429

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4 0
2 years ago
Solve the equation for all values of x.<br> (8x+9)(49x^2-100)=0
Liono4ka [1.6K]

Answer:

x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}

Step-by-step explanation:

8x+9=0

8x=-9

x = \frac{-9}{8}

or

49x^{2}-100 = 0

(7x)^{2} -10^{2} =0,

(7x+10)(7x-10)=0

7x+10=0, 7x-10=0

7x=-10, 7x=10

x=-\frac{-10}{7}, x = \frac{10}{7}

4 0
2 years ago
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