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Damm [24]
2 years ago
6

Passes through (2, 3) and has slope of -1/2

Mathematics
1 answer:
maksim [4K]2 years ago
5 0

Answer:

y=-1/2x+4

Step-by-step explanation:

the slope is -1/2x and y intercept is 4

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How does adding the log together automatically mean that it is a factorial?
andreyandreev [35.5K]

Answer: The answer is given below.

Step-by-step explanation:  We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

(i)~\log_ba=\dfrac{1}{\log_ab},\\\\\\(ii)~log_ab+\log_ac=\log_a(bc).

The proof is as follows:

L.H.S.\\\\\\=\dfrac{1}{\log_2N}+\dfrac{1}{\log_3N}+\dfrac{1}{\log_4N}+\cdots+\dfrac{1}{\log_{100}N}\\\\\\=\log_N2+\logN3+\log_N4+\cdots+\log_N100\\\\=\log_N\{2.3.4...100\}\\\\=\log_N\{1.2.3.4...100\}\\\\=\log_N{100!}\\\\=\dfrac{1}{\log_{100!}N}\\\\=R.H.S.

Hence proved.

6 0
3 years ago
The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the
Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0
3 years ago
You bought a shirt with the price of $135.50, and the sale tax rate is 8.25% whats the sales tax
svp [43]

Answer:

11.18

Step-by-step explanation:

135.50 x .0825=11.18

6 0
3 years ago
A boat travels 36 miles in 1.5 hours ans then in 14 miles in 0.75 hour. what is the average speed?
allochka39001 [22]

The average speed can be obtained by the formula:

V_{\text{average}}=\dfrac{\text{total distance}}{\text{total time}}.

If a boat travels 36 miles in 1.5 hours ans then in 14 miles in 0.75 hour, then find:

  • total distance is 36+14=50 miles;
  • total time: 1.5+0.75=2.25 hours.

Therefore,

V_{\text{average}}=\dfrac{50}{2.25}=\dfrac{5000}{225}=\dfrac{200}{9}=22.(2) miles per hour.

Answer: V_{\text{average}}=\dfrac{200}{9}=22.(2) miles per hour.

6 0
3 years ago
Read 2 more answers
Can someone answer this its just boxplots :)))
romanna [79]

Answer:

31 + 71 = 102

102/100

1.02

Step-by-step explanation:

7 0
3 years ago
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