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2 years ago

In each of the following equations, what is

Mathematics

1 answer:

timama [110]2 years ago

8 0

The graph will cross at the coordinates (-2, 9)

<h3>How to solve equations?</h3>

y = 3x + 15

y = 3 - 3x

y = 3x + 15

Hence,

when x = 2

y = 3(2) + 15 = 21

when x = 0

y = 3(0) + 15 = 15

y = 3 - 3x

when x = 2

y = 3 - 3(2)

y = 3 - 6

y = -3

when x = 0

y = 3 - 3(0)

y = 3

Therefore, let's check if the equation will cross.

y = 3x + 15

y = 3 - 3x

using substitution,

3 - 3x = 3x + 15

3 - 15 = 3x + 3x

- 12 = 6x

x = -12 / 6

x = -2

y = 3 - 3(-2)

y = 3 + 6

y = 9

Therefore, the graph will cross at the coordinates (-2, 9)

learn more on equations here: brainly.com/question/19297665

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Step-by-step explanation:

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The first four numbers hexa said were 16 32 48 and 64 if she keep counting this way what is the 99th Number hexa will say

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Answer:

316,912,650,057,057,350,374,175,801,344

Step-by-step explanation:

You can see that this sequence is geometric so you need to know the geometric sequence which is $x_{n} =r^{n-1}$ and if you plug in every thing you get $x_{n}$ = $2^{99-1}$ which would be $2^{98}$ which is 316,912,650,057,057,350,374,175,801,344

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4 years ago

What equation represents an exponential function that passes through the point (2, 80)?

Marina86 [1]

Answer:

$f(x) = (4\sqrt{5})^{x}$

Step-by-step explanation:

The exponential function looks like the following: $f(x) = b^{x}$ .

If the function passes through the point (2, 80), then:

$f(x) = b^{x}$ → $80 = b^{2}$

Solving for 'b':

$b = \sqrt{80}$ → $b=4\sqrt{5}$

Then, the equation of exponential function that passes through the point (2, 80) is: $f(x) = (4\sqrt{5})^{x}$

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3 years ago

An analyst for a large credit card company is going to conduct a survey of customers to examine their household characteristics.

zheka24 [161]

Answer:

We can conclude that the value of 1732 is a statistic who represent the sample selected. And the value of 1622 represent the population mean from all the customers with the previous data.

Step-by-step explanation:

Previous concepts

A statistic or sample statistic "is any quantity computed from values in a sample", for example the sample mean, sample proportion and standard deviation

A parameter is "any numerical quantity that characterizes a given population or some aspect of it".

Solution to the problem

For this case the analyst knows that from previous records that the mean for all the customers (that represent the population of interest) is $\mu = 1622$

He have a random sample of n =500 customers from the previous month and he knows that 1732 represent the sample mean for the selected customers calculated from the following formula:

$\bar X = \frac{\sum_{i=1}^{500} X_i}{500}= 1732$

So on this case we can conclude that the value of 1732 is a statistic who represent the sample selected. And the value of 1622 represent the population mean from all the customers with the previous data.

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