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Oksanka [162]
3 years ago
9

5) Telephone numbers in the

Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

6,400,000,000 (6.4 billions)

Step-by-step explanation:

We have a total of 10 digits, and each digit was 10 possibilities of being filled, except the first digit of the area code and first digit of the telephone number, that have only 8 possibilities.

So if 8 digits have 10 possible values and 2 digit has 8 possible values, the number of possible telephone numbers is:

10^8 * 8^2 = 6,400,000,000 (6.4 billions)

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Answer:

3) (2,-9)

4) (0,-5)

5) (1,-8)

Step-by-step explanation:

3)

The vertex will occur between you x-intercepts.

You already found that happens at x=2.

To find the corresponding y-coordinate, replace x in

f(x)=(x+1)(x-5) with 2:

f(2)=(2+1)(2-5)

f(2)=(3)(-3)

f(2)=-9

So the vertex is (2,-9).

4)

The y-intercept is when x=0.

So in f(x)=(x+1)(x-5) replace x with 0:

f(0)=(0+1)(0-5)

f(0)=(1)(-5)

f(0)=-5

So the y-intercept is (0,-5).

5)

To find another point just plug in anything besides any x already used.

We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.

So replace x in f(x)=(x+1)(x-5) with x=1:

f(1)=(1+1)(1-5)

f(1)=(2)(-4)

f(1)=-8

So another point to graph is (1,-8).

7 0
3 years ago
you deposit $2,000 in an account that earns simple interest. after 6 months the account earns $210 in interest. what is the annu
Luden [163]

Answer:

21%

Step-by-step explanation:

210 is 10.5% of the amount that is for 6 months doubling it will make it 420 that is 21% of the total amount of 2000.

8 0
2 years ago
Eileen drove for 85 minutes. This is 21 more minutes than one third the number of minutes Ethan drove. How do I put this into an
Lapatulllka [165]
So let's start out by labeling Ethan as X

Since 85 is 1/3 of what Ethan drove, that means Ethan drove 3 times of 85.

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85 -21 = 3x
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6 0
2 years ago
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S = 2πrh + 2πr2 for h
Rzqust [24]

Answer:

Step-by-step explanation:

Oh great!

6 0
3 years ago
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-2/3a+5/6a-1/6 simplify
ratelena [41]

Answer:

\frac{1}{6} a-\frac{1}{6}

Step-by-step explanation:

-\frac{2}{3} a+\frac{5}{6}a-\frac{1}{6}

=-\frac{4}{6} a+\frac{5}{6}a -\frac{1}{6}

= \frac{1}{6} a-\frac{1}{6}

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