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Leto [7]
3 years ago
5

The access code for a car’s security system consists of four digits, 0 through 9. Once a digit is used, it cannot be repeated. T

here are choices for the first digit, choices for the second digit, choices for the third digit, and choices for the fourth digit.
Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

Answer:

10 9 8 7

Step-by-step explanation:

There are 10 choices for the first digit,

9 choices for the second digit,

8 choices for the third digit, and

7 choices for the fourth digit.


Using the fundamental counting principle, how many access codes are possible? 5,040


If the digits 0 through 9 could be repeated, how many access codes would be possible? 10,000

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The speed limit sign on the freeway said 110 kilometers per hour, but the speedometer on Cesar's car is calibrated in miles per
Lisa [10]

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

6 0
3 years ago
The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
The function g(x)=-5x-6
BaLLatris [955]

Answer:

D. the slope of f(x) is greater than the slope of g(x)

Step-by-step explanation:

slope of f(x) =rise/run

=y2 -y1 / x2 -x1

slope of f(x)= -1-2/1-0= -3

g(x)= -5x-6

slope of g(x)= -5

-3>-5

D. the slope og f(x) is greater than the slope of g(x)

4 0
3 years ago
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Oksana_A [137]

Answer:

I need much more info to answer

Step-by-step explanation:

4 0
3 years ago
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lapo4ka [179]
Equation y=-4x
m=-4. Slope is -4 y-intercept is 0

y-12=2(x-1)
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7 0
3 years ago
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