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3 years ago

20 points!!(5x-19)^2 < (x-23)^2please someone help me with this inequality :c

Mathematics

1 answer:

mel-nik [20]3 years ago

8 0

Answer:

$x (-1,7)$

Step-by-step explanation:

We need to square a binomial.

The following rule is applied:

$(5x)^2+2*5x(-19)+(-19)^2$

In our example,

$A^2+2AB+B^2=(A+B)^2$

A is equal to 5x,

B is equal to -19 and

N is equal to 2.

$5^2*x^2-2*5x*19+19^2$

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Nikola buys a bouquet of 8 sunflowers for $18

myrzilka [38]

To slove this you would divide 18 by 8

18÷8 = 2.25

So the answer is 2.25

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3 years ago

Read 2 more answers

MAXIMUM POINT WILL BE GIVEN!!! I NEED THIS RN!!!!!!!!!!!!!!!!!!!!!!!!!

Lemur [1.5K]

Answer:

Part a) The variables are

x (the number of packages of Twinkies that were sold)

y (the number o boxes of juice that were sold)

Part b) The system of equations is

$x+y=79$ and $1.65x+1.36y=118.17$

Part c) $x=37,y=42$

Part d) The value of y represent the number of boxes of juice that were sold $y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold $x=37\ packages\ of\ Twinkies$

Step-by-step explanation:

Part a) Define the variables in this situation

Let

x-----> the number of packages of Twinkies that were sold

y----> the number of boxes of juice that were sold

Part b) Write a system of equations that model the problem

we know that

$x+y=79$ ------> equation A

$1.65x+1.36y=118.17$ ---> equation B

Part c) Use the linear combination method to find the solution to the system you wrote in part b

Multiply equation A by -1.65

$-1.65(x+y)=-1.65*79$

$-1.65x-1.65y=-130.35$ ------> equation C

Adds equation C and equation B

$-1.65x-1.65y=-130.35\\1.65x+1.36y=118.17\\---------\\-1.65y+1.36y=-130.35+118.17\\-0.29y=-12.18\\y=42$

Find the value of x

$x+y=79$

$x+42=79$

$x=79-42=37$

Part d) Using a complete sentence, explain what the solution found in part c represents

The value of y represent the number of boxes of juice that were sold

$y=42\ boxes\ of\ juice$

The value of x represent the number of packages of Twinkies that were sold

$x=37\ packages\ of\ Twinkies$

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4 years ago

114 = 3x + 18

Mama L [17]

Answer: x = 32 y = 20

Step-by-step explanation:

114 = 3x + 18 114 = 3(y + 18)

-18 - 18 /3 /3

= =

96 = 3x 38 = y + 18

/3 /3 -18 -18

= =

32 = x 20 = y

7 0

3 years ago

What is the percentage of 45mph to 60mph

Dmitrij [34]

The answer is 75% because its like a clock 15, 30, 45, 60

5 0

3 years ago

3. Suppose the local Best Buy store averages 301 customers every day entering the facility with a standard deviation of 80 custo

stich3 [128]

Answer:

The probability that the average number of customers in the sample is between 290 and 310 is 0.61922.

Step-by-step explanation:

We are given that the local Best Buy store averages 301 customers every day entering the facility with a standard deviation of 80 customers.

A random sample of 50 business days was selected.

Let $\bar X$ = sample average number of customers

The z-score probability distribution for sample average is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population average = 301 customers

$\sigma$ = population standard deviation = 80 customers

n = sample of business days = 50

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

(a) Probability the average number of customers in the sample is between 290 and 310 is given by = P(290 < $\bar X$ < 310) = P( $\bar X$ < 310) - P( $\bar X$ $\leq$ 290)

P( $\bar X$ < 310) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{310-301}{\frac{80}{\sqrt{50} } }$ ) = P(Z < 0.79) = 0.78524

P( $\bar X$ $\leq$ 290) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{290-301}{\frac{80}{\sqrt{50} } }$ ) = P(Z $\leq$ -0.97) = 1 - P(Z < 0.97)

= 1 - 0.83398 = 0.16602

{Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.79 and x = 0.97 in the z table which has an area of 0.78524 and 0.83398 respectively.}

Therefore, P(290 < $\bar X$ < 310) = 0.78524 - 0.16602 = 0.61922

Hence, the probability that the average number of customers in the sample is between 290 and 310 is 0.61922.

4 0

3 years ago

20 points!!(5x-19)^2 < (x-23)^2please someone help me with this inequality :c​

20 points!!(5x-19)^2 < (x-23)^2please someone help me with this inequality :c