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Vitek1552 [10]
3 years ago
8

The equation for the line that passes (-1,-2) and (4,3)

Mathematics
1 answer:
laila [671]3 years ago
5 0
Find the slope and use one point to write the equation of a line (we’ll be using point-slope form). The slope is:
(3 - (-2) ) / (4 - (-1) ) = 1. Plug it into point slope form, y - y1 = m(x - x1), and we get y - 3 = 1(x - 4). If we want to get slope-intercept, distribute the 1, and solve for y: y = x - 1.
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Which statement is true about the domain of y = 3(2^-x)? Explain.
SVEN [57.7K]
We want to determine the domain of {y=3 \cdot 2^{-x}=3 \cdot ({2^{-1}})^x=3 \cdot ({ \frac{1}{2}})^x

any function of the form y=f(x)=a \cdot b^x is called an "exponential function",
the only condition is that b is positive and different from 1, and a is a nonzero real number.

The domain of such functions is all real numbers.

That is for any x, the expression <span>3(2^-x) "makes sense".



Answer: </span><span>The domain is all real numbers</span>
8 0
3 years ago
Find the value of :<br><img src="https://tex.z-dn.net/?f=%20%5Csf%20log_%7B3%20%5Csqrt%7B2%7D%20%7D%28324%29%20" id="TexFormula1
qwelly [4]

Answer:

4

Step-by-step explanation:

Is that a log with the base of   3√(2)  ?

If so....my calculator says the answer is   4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 =  3^4 * 2^2     Now 'LOG' both sides:

x log (3 sqrt 2)  =   log (3^4 *2^2)  =  4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

                       now divide both sides by log (3 sqrt2 )

  x = 4        (If I did the math correctly ! )  

8 0
2 years ago
What is p-6a+3-4+9p+14
____ [38]

10p-6a+13

Hope this helps :)

8 0
3 years ago
The waitress and the hostess at a restaurant share the tips at the end of the shift the average amount earned in tips between th
soldi70 [24.7K]
The waitress will get 120 dollars

7 0
3 years ago
Your corner store is having a sale on chips . A 40 -pack of Doritos cool ranch chips cost $25.75 but it's on sale at 35% off. Ho
Lorico [155]

Answer:

  $16.74

Step-by-step explanation:

If the price has been reduced by 35%, it is 100% -35% = 65% of what it was.

  0.65 × $25.75 = $16.7375 ≈ $16.74

You will pay $16.74 for the chips.

6 0
3 years ago
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