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AlekseyPX
3 years ago
7

Please help asap..................................

Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

I think the answer is the point (-8,15) located in the sulatichon region

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Can someone help me with this and show me how to do it?
densk [106]

9514 1404 393

Answer:

  5i) f(x) = 3·13^x +5

  5ii) f(x) = -6·(1/2)^x +5

  6) f(x) = 3·8^x -1

  9a) (1, 0), (0, -3)

  9b) (2, 0), (0, 8)

Step-by-step explanation:

5. The horizontal asymptote is y = c. To meet the requirements of the problem, you must choose c=5 and any other (non-zero) numbers for 'a' and 'b'. (You probably want 'b' to be positive, so as to avoid complex numbers.)

i) f(x) = 3·13^x +5

ii) f(x) = -6·(1/2)^x +5

__

6. You already know c=-1, so put x=0 in the equation and solve for 'a'. As in problem 5, 'b' can be any positive value.

  f(0) = 2 = a·b^0 -1

  3 = a

One possible function is ...

  f(x) = 3·8^x -1

__

9. The x-intercept is the value of x that makes y=0. We can solve for the general case:

  0 = a·b^x +c

  -c = a·b^x

  -c/a = b^x

Taking logarithms, we have ...

  log(-c/a) = x·log(b)

  \displaystyle x=\frac{\log\left(-\dfrac{c}{a}\right)}{\log(b)}=\log_b\left(-\dfrac{c}{a}\right)

Of course, the y-intercept is (a+c), since the b-factor is 1 when x=0.

a) x-intercept: log2(6/3) = log2(2) = 1, or point (1, 0)

   y-intercept: 3-6 = -3, or point (0, -3)

b) x-intercept: log3(9/1) = log3(3^2) = 2, or point (2, 0)

  y-intercept: -1 +9 = 8, or point (0, 8)

_____

<em>Additional comment</em>

It is nice to be comfortable with logarithms. It can be helpful to remember that a logarithm is an exponent. Even so, you can solve the x-intercepts of problem 9 using the expression we had just before taking logarithms.

  a) 6/3 = 2^x   ⇒   2^1 = 2^x   ⇒   x=1

  b) -9/-1 = 3^x   ⇒   3^2 = 3^x   ⇒   x=2

5 0
2 years ago
Please provide your work for your answer, the answer is not much important, the work that led to the answer is what matters the
german

Answer:

It gives you 28 different 10-digit numbers

Step-by-step explanation:

The leftmost position digit can not be 0 --- hence, it is 1, since there is no other possibilities.

The rightmost position (the "ones" position) must be 0 to provide an even number.

Hence, you have 8 remaining positions to fill with six ones and two zeros by an arbitrary way.

You can place two digits of zero among 8 positions by \frac{C 2}{8} = \frac{8=7}{2}different ways = 4*7 = 28 different ways,

4 0
3 years ago
Read 2 more answers
Ryan is making pancakes for the Drama Club’s pancake breakfast. The table below shows the amount of pancake mix and milk needed
adell [148]
There is no table, and what us the question?
4 0
3 years ago
Answer #3 , i answered #1 and #2 already . #3 : When graphing the relation , which dat should be used on the x - axis ? ​
AysviL [449]

Answer:

Year

Step-by-step explanation:

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

x-axis represents days/year/time (major interval set to 7); y-axis represents tasks.

For example, if you are following the number of cancer cases per year, you plot the number of cancer cases on the y-axis because that number is different for each year, and the value you plot depends on which year you choose (you are choosing the year, so year goes on the x-axis; you are reporting the number of cancer

3 0
3 years ago
You roll a six sided die. What is the probability of rolling a 1 or a number greater than 4.
Romashka [77]

A. 1/2

This is because there are 6 possible outcomes. 1, 2, 3, 4, 5, and 6.

The probability of rolling 1, 5, and 6 is 3 out of 6 (3/6)

3/6 reduced is 1/2.

3 0
3 years ago
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