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3 years ago

6

What’s the vertical asymptote of the equation f(x)=log3(x-5)

1 answer:

ICE Princess25 [194]3 years ago

7 0

Answer:The line x=5

Step-by-step explanation:

Asymptote of a function means the straight line closest to some part of the function which tends to ∞ or -∞. We know that ln x or log x has asymptote x=0. Here , the function is f(x) = log 3(x-5), so, the vertical asymptote will be the line x =5.

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What is the product of 0.02 and 0.7

lana [24]

Since product means multiplication, 0.02 x 0.7 = 0.014

6 0

2 years ago

If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c

dolphi86 [110]

Given:

$(ax+2)(bx+7)=15x^2+cx+14$

And

$a+b=8$

Required:

To find the two possible values of c.

Explanation:

Consider

$\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}$

So

$\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}$

And also given

$a+b=8---(2)$

Now from (1) and (2), we get

$\begin{gathered} a+\frac{15}{a}=8 \\ \\ a^2+15=8a \\ \\ a^2-8a+15=0 \end{gathered}$ $a=3,5$

Now put a in (1) we get

$\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}$

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

$\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}$

When a=5 and b=3, we have

$\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}$

Final Answer:

The option D is correct.

31 and 41

8 0

8 months ago

Ollie and 5 of his friends are going bowling. The cost for each of them is $12.30. How could you mentally go about finding the t

nika2105 [10]

Answer:

The answer is 73.8

Step-by-step explanation:

Just multiply 12.30 by 6 5 friends and olly

4 0

2 years ago

Read 2 more answers

Please help me with all three! 25 Points!!

Gnoma [55]

a. 28 * 63

28 (60) + 28 (3) or 20 (60) +20 (3) + 8 (60) + 8 (3)

1680 + 84=1764 1200 / 60 +480 +24=1764

b. 17(59)

17 (50) + 17 (9) or 10 (50) + 10 (9) + 7 (50) +7 (3)

850 + 153=1003 500 + 90 + 63 =1003

c.458 (15)

458 (10) +458 (5) or 10 (400) + 10 (50) + 10 (8) + 5 (400) +5 (50) + 5 (8)

4580 +2290 = 6870 400 + 500 + 80 + 2000 + 250 + 40 = 6870

My work is kinda confusing but hope it helped

8 0

2 years ago

If 14 people show up to a cookout and you make 21 hot dogs, how many will you need to make if 105 people up?

Oksanka [162]

Answer:

Step-by-step explanation:

let x = number of of hot dogs that 105 people will do

therefore

14 people = 21 hot dogs

105 people = x hot dogs

14 x 105 people = 21 x Xhotdogs

1470 = 21X

divide through by 21

1470/21 = 21X/21

70 = X

X = 70

therefore,

105 people will makev 70 hot dogs

7 0

2 years ago

Read 2 more answers