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krok68 [10]
3 years ago
6

Complete the equation of the linear function.

Mathematics
1 answer:
stealth61 [152]3 years ago
5 0
The two points we are given will tell us the slope of the line, and the first point even tells us the y intercept.

slope = (y2 - y1) / (x2 - x1) = (1 - 4) / (1 - 0) = -3/1 = -3

Since the function goes through (0,4), our y intercept is 4.

Now we can fill in our function:
<span>y = _ x + _
</span><span>y = -3x + 4</span>
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Lim x&gt;0- ((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX
Andre45 [30]
<span>((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX = (x^2 + 2x delta x + (delta x)^2 + x + delta x - x^2 - x) / delta x = delta x (2x + delta x + 1) / delta x = 2x + delta x + 1

Therefore, </span>Lim as x tends to 0 of <span>((x + delta X)^2 + x + deltaX - (x^2 + x)) / deltaX</span> = 1 + delta x
6 0
3 years ago
6. Solve the problem.
Assoli18 [71]

Answer: 32

Step-by-step explanation:

we have in this case  right triangle with a leg equal to 24 and a hypotenuse equal to 40

c^2=a^2+b^2

40^2=24^2+b^2

b^2=1600-576=1024

b=sqrt1024=32

4 0
3 years ago
Simplify<br> ^3<br> V-27n^27
Sauron [17]

Apply the radical rule to separate terms:

Cubicroot(-27) and cubic root(n^27)

Cubicroot(-27) = -3

Now you have -3 cubicroot(n^27)

Using the exponent rule

N^27 can be rewritten as (n^9)^3

Now you have -3 cubicroot((n^9)^3)

The cubic root and the 3rd power cancel out to get the final answer of

-3n^9

8 0
3 years ago
Catherine Lewiston is currently earning an annual salary of $36,080 at
Nezavi [6.7K]

Answer:

$212.31

Step-by-step explanation:

divide $36,080 by 52 weeks in a year. you get $693.84 weekly.

divide $47,120 by 52 weeks in a year. you get $906.15 weekly.

then subtract 906.15 from 693.84 and you get 212.31

5 0
3 years ago
7¼× 8/9×3/4<br>find the sum ​
larisa86 [58]

Answer:

Step-by-step explanation:

7\frac{1}{4}*\frac{8}{9}*\frac{3}{4}=\frac{29}{7}*\frac{8}{9}*\frac{3}{4}\\\\=\frac{29*8*3}{7*9*3}\\\\=\frac{29*2*1}{7*3*1}\\\\=\frac{58}{21}\\\\=2\frac{16}{21}\\

7 0
2 years ago
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