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3 years ago

Twice the sum of five and x is eight less than x

1 answer:

4 0

We need to express this statement into a equation:

First of all. We will walk through the statement step by step into a mathematical language, so:

1. The sum of five and x:

x + 5

2. Twice the sum of five and x:

2(x + 5)

3. Eight less than x:

(x-8)

Finally the whole statement is:

4. <span>Twice the sum of five and x is eight less than x:
</span>
2(x + 5) = (x-8)
2x + 10 = x - 8
x = -18

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What is the inverse of the function f(x) = 2x – 10?

Gala2k [10]

$\bf f(x)=\boxed{y}=2\boxed{x}-10\qquad inverse\implies =\boxed{x}=2\boxed{y}-10\impliedby f^{-1}
\\\\\\
x+10=2y\implies \cfrac{x+10}{2}=y\implies \cfrac{x}{2}+\cfrac{10}{2}=y
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\cfrac{x}{2}+5=y=f^{-1}(x)$

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3 years ago

on the asymptotic behavior of the sample estimates of eigenvalues and eigenvectors of covariance matrices

skelet666 [1.2K]

A complex mathematical topic, the asymptotic behavior of sequences of random variables, or the behavior of indefinitely long sequences of random variables, has significant ramifications for the statistical analysis of data from large samples.

The asymptotic behavior of the sample estimators of the eigenvalues and eigenvectors of covariance matrices is examined in this claim. This work focuses on limited sample size scenarios where the number of accessible observations is comparable in magnitude to the observation dimension rather than usual high sample-size asymptotic .

Under the presumption that both the sample size and the observation dimension go to infinity while their quotient converges to a positive value, the asymptotic behavior of the conventional sample estimates is examined using methods from random matrix theory.

Closed form asymptotic expressions of these estimators are obtained, demonstrating the inconsistency of the conventional sample estimators in these asymptotic conditions, assuming that an asymptotic eigenvalue splitting condition is satisfied.

To learn more about asymptotic behavior visit:brainly.com/question/17767511

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4 0

1 year ago

In a survey of 2,000 people who owned a certain type of car, 1,320 said they would buy that type of car again. What percent of

ELEN [110]

Answer: Total number of those who took part in the survey (T)=2000

Those who were satisfied (t)=1320

Percentage of those who were satisfied (S)=(t/T)*100

S=(1320/2000)*100

S=66%

Therefore only 66% were satisfied

Step-by-step explanation:

8 0

2 years ago

Someone help me with this ples with steps

SSSSS [86.1K]

Answer:

$x=\frac{21}{4}$

$y=\frac{21}{2}$

Step-by-step explanation:

equation (1): $\frac{1}{2} (2x+y)=\frac{21}{2}$

equation (2): y=2x

solve the system by substitution

step1: sub (2x) for y in equation 1:

$\frac{1}{2} (2x+y)=\frac{21}{2}$

$\frac{1}{2} (2x+2x)=\frac{21}{2}$

step2: simplify the expression:

$\frac{1}{2} (4x)=\frac{21}{2}$

$2x=\frac{21}{2}$

(divide by 2 for both sides)

$x=\frac{21}{4}$

To find the value for y sub 21/4 for x in equation 2:

y=2x

y=2×(21/4)

$y=\frac{21}{2}$

4 0

3 years ago

A ping pong ball is released from a height of 60 centimeters (cm) and bounces to a height that is 3/4 the previous height. What

Oduvanchick [21]

Answer:

H = 60(3/4)^x

Step-by-step explanation:

After each bounce, the height it reach is 3/4 the previous one.

Let the height of nth bounce be denoted as h_n and the first bounce is h_1.

We are given that h_1 = 60 cm. Following the rule in the problem, we get:

h_2 = (3/4)h_1 = (3/4)60

h_3 = (3/4)h_2 = (3/4)*(3/4)60 = 60(3/4)^2

h_4 = (3/4)h_3 = (3/4)*60(3/4)^2= 60(3/4)^3

We see that h_n = 60(3/4)^n is the formula for the height for the nth bounce. Therefore, H = 60(3/4)^x is the answer.

I hope this helps! :)

8 0

2 years ago