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3 years ago

How many 7 digit numbers have6 9 s and no 9 in ones place

Mathematics

1 answer:

Daniel [21]3 years ago

5 0

Answer:

1062882

Step-by-step explanation:

Seven digits numbers, with repetition of digits, having 6 or 9 at the last one's place :

The first six digits can be filled with 9 options each (numbers 1 to 9) , & the last digit can be filled with 2 options (number 6 & 9)

So, total 7 digit numbers as per given condition = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 2 = 1062882

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The point P(5, −4) lies on the curve y = 4/(4 − x).

dalvyx [7]

Answer:

Step-by-step explanation:

Slope refers to the steepness of the line.

Slope is equal to change in value of y divided by change in value of x.

The slope of the secant line is given by $\frac{f(x)-f(a)}{x-a}$ .

Given points are $P\left ( 5,-4 \right )\,,\,Q\left ( x,\frac{4}{4-x} \right )$

So, slope of the secant line is $\frac{\frac{4}{4-x}+4}{x-5}=\frac{4+4(4-x)}{(x-5)(4-x)}=\frac{20-4x}{(x-5)(4-x)}=\frac{-4(x-5)}{(x-5)(4-x)}=\frac{-4}{4-x}=\frac{4}{x-4}$

(i) At x = 4.9,

$\frac{4}{4.9-4}=\frac{4}{0.9}=4.444444$

(ii) At x = 4.99,

$\frac{4}{4.99-4}=\frac{4}{0.99}=4.040404$

(iii) At x = 4.999,

$\frac{4}{4.999-4}=\frac{4}{0.999}=4.004004$

(iv) At x = 4.9999,

$\frac{4}{4.9999-4}=\frac{4}{0.9999}=4.0004$

(v) At x =5.1,

$\frac{4}{5.1-4}=\frac{4}{1.1}=3.636364$

(vi)

At x = 5.01,

$\frac{4}{5.01-4}=\frac{4}{1.01}=3.960396$

(vii) At x = 5.001,

$\frac{4}{5.001-4}=\frac{4}{1.001}=3.996004$

(viii) At x = 5.0001,

$\frac{4}{5.0001-4}=\frac{4}{1.0001}=3.9996$

(b)

Slope of the tangent line is 4.

5 0

3 years ago

Solve the equation and find the value of the variable

djyliett [7]

The sum of the angles should be 180, so x+ (x+10) + (x+5) = 180. This simplifies to 3x + 15 = 180, so 3x = 165, so x=55.

3 0

3 years ago

8. An online bank statement reads as follows: Account balance: $986.24 Car payment: $203.34 Gas bill: $96.67 Check deposit: $128

Lunna [17]

Starting balance : 986.24

deductions :
car payment : 203.34
gas bill : 96.67
debit card : 67.12
ATM : 30
total deductions : 203.34 + 96.67 + 67.12 + 30 = 397.13

deposits :
check : 1289.60
cash : 45
total deposits : 1289.60 + 45 = 1334.60

Balance to date : 986.24 + 1334.6 - 397.13 = 1923.71 <==

8 0

3 years ago

How can you recognize linear change from a graph, an equation, a table, or in a real world situation?

Stolb23 [73]

In linear change, the two variables keep increasing or decreasing at the same speed.

7 0

3 years ago

Please help pre algebra 8th grade

otez555 [7]

Answer:

28 degrees

Step-by-step explanation:

152 is the exact same measure as angle 2.

To get to 180 you have to add 152 + angle 1

Angle one is the same as angle 3.

180 - 152 = 28

Hope this helps

5 0

4 years ago