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3 years ago

Using a Table of Values to Find a Solution to a System

Mathematics

2 answers:

julia-pushkina [17]3 years ago

5 0

Answer:

f(x) = 2.5x - 10.5 and g(x) = 64(0.5)^x

When x = 2,

f(x) = 2.5(2) - 10.5 = -5.5,

g(x) = 64 * 0.5^(2) = 16.

When x = 3,

f(x) = 2.5(3) - 10.5 = -3,

g(x) = 64 * 0.5^(3) = 8.

When x = 4,

f(x) = 2.5(4) - 10.5 = -0.5,

g(x) = 64 * 0.5^(4) = 4.

When x = 5,

f(x) = 2.5(5) - 10.5 = 2,

g(x) = 64 * 0.5^(5) = 2.

When x = 6,

f(x) = 2.5(6) - 10.5 = 4.5,

g(x) = 64 * 0.5^(6) = 1.

Therefore we can see that f(x) = g(x) = 2 when x = 5.

Hence the solution is x = 5.

Step-by-step explanation:

laila [671]3 years ago

4 0

Answer:

This problem wants you to substitute the answers from the table into the equation to find the solution, which is when the input gives the same output basically.

f(x) = 2.5x -10.5 g(x) = 64(0.5)^x

when x= 2... when x= 2...

f(2) = 2.5(2) - 10.5 g(2) = 64(0.5)^2

f(2) = 5 - 10.5 = -5.5 g(2) = 64(.25)= 16

when x= 3... when x= 3...

f(3) = 2.5(3) - 10.5 g(3) = 64(0.5)^3

f(3) = 7.5 - 10.5 = -3 g(3) = 64(0.125) =8

when x= 4... when x = 4...

f(4) = 2.5(4) - 10.5 g(4) = 64(0.5)^4

f(4) = 10 - 10.5 = -0.5 g(4) = 64(0.0625) = 4

when x= 5... when x= 5...

f(5) = 2.5(5) - 10.5 g(5) = 64(0.5)^5

f(5) = 12.5 - 10.5 = 2 g(5) = 64(0.03125) = 2

when x= 6... when x = 6...

f(6) = 2.5(6) - 10.5 g(6) = 64(0.5)^6

f(6) = 15 - 10.5 = 4.5 g(6) = 64(0.015625) = 1

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Step-by-step explanation:

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That means

Log 200 - Log 2 = Log ( 200/2)

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Log $10^{2}$

Recall from laws of Logarithms:

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Therefore:

Log $10^{2}$ = 2 Log 10

Also from law of Logarithm

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3 years ago

HELP!!!! Position and label the triangle on the coordinate plane

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Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

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3 years ago

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

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3 years ago

You can afford a $1150 per month mortgage payment. You've found a 30 year loan at 8: interest compounded monthly. a) How big of

jarptica [38.1K]

Answer:

PV= Max Loan amount = PMT*B(i,T) and PMT = 1200. Calculate B(i,T) = B(6%/12, 360)

=(12/.06)(1-(1/(1.005))360) I will let you complete the calculation

Step-by-step explanation:

3 0

3 years ago

B. The school prom committee sold presale tickets for

Ivan

Answer:

218 students purchased tickets at the dance.

Step-by-step explanation:

Let,

x be the number of presale tickets

y be the number of tickets sold at the dance

According to given statement;

x+y=334 Eqn 1

18x+24y=7320 Eqn 2

Multiplying Eqn 1 by 18

18(x+y=334)

18x+18y=6012 Eqn 3

Subtracting Eqn 3 from Eqn 2

(18x+24y)-(18x+18y)=7320-6012

18x+24y-18x-18y=1308

6y=1308

$\frac{6y}{6}=\frac{1308}{6}\\y=218$

Therefore,

218 students purchased tickets at the dance.

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3 years ago