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3 years ago

A. Explain why the point (100,2) is on the graph.

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

Answer:

the log function is the "inverse" function of an exponential function

by definition $log_{a} b = c$ then $a^{c} = b$

in this problem you have $log_{10} 100$

thus what x solves this ? $10^{x} = 100$ the answer is $10^{2}$

thus (100,2)

B) the x intercept is when y = 0

$10^{0} = 1$

x intercept at (1,0)

C) at 100, the curve will hit y = 5000

Step-by-step explanation:

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The vertex of this parabola is at (-5, -2). When the x-value is -4, the y-value is 2. What is the coefficient of the squared exp

Montano1993 [528]

Answer:

The coefficient of the squared expression in the parabola equation is $a=4$

Step-by-step explanation:

The equation of a parabola in its vertex form is:

$y = a(x-h) ^ 2 + k$

Where the vertex of the parabola is the point (h, k)

a is the ceoficiente of the term to the square.

We need to find the equation of a parabola that has its vertex in the point:

(-5, -2)

So:

$h = -5\\\\k = -2$

Therefore the equation is:

$y = a(x - (-5)) ^ 2 -2\\\\y = a(x + 5) ^ 2 -2$

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

$(2) = a((-4) + 5) ^ 2 -2\\\\2 = a(1) ^ 2 -2\\\\2 = a -2\\\\a = 4$

Finally the coefficient is a = 4

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3 years ago

How long does it take the snail to crawl 82 inches? Enter your answer in a decimal number.

Sholpan [36]

Answer:

2827.5

Step-by-step explanation:

You have to divide 82 inches (distance) by the speed of the snail which is 0.029mph then you get the answer above.

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3 years ago

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

What is his net pay?

Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = $\frac{23}{100}\times 1227.38 = \$282.2974$

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = $1227.38-282.2974 = \$945.0826$

Rounding to nearest hundred we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

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3 years ago

A salesperson's commission rate is 5 %. What is the commission from the sale of 32,000 worth of furnaces? Use pencil and pape

Len [333]

Answer: Answer:

Its sad that you have to uses this app to get the right answers.

Have you ever stopped to ponder if someone is trying to scam/Catfish you?

Also I bet that you haven't even tried reading this question.

I know that you can do it yourself!

If not then, Sorry to hear.

Also

The answer is:

Do it yourself, Because if you try..You'll have a better answer then I ever could. Or anyone TBH

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3 years ago

Use graphing to find the solutions to the system of equations.

Galina-37 [17]

In order to utilize the graph, first you have to distinguish which graph accurately pertains to the two functions.

This can be done by rewriting the equations in the form y = mx + b which can be graphed with ease; where m is the slope and b is the y intercept.

-x^2 + y = 1
y = x^2 + 1

So this will be a basic y = x^2 parabola where the center intercepts on the y axis at (0, 1)

-x + y = 2
y = x +2

So this will be a basic y = x linear where the y intercept is on the y axis at (0, 2)

The choice which depicts these two graphs correctly is the first choice. The method to find the solutions to the system of equations by using the graph is by determining the x coordinate of the points where the two graphed equations intersect.

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3 years ago