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GuDViN [60]
3 years ago
15

How do I solve for n: 21k-3n+9p> 3p+12

Mathematics
1 answer:
Travka [436]3 years ago
5 0
21k-3n+9p\ \textgreater \ 3p+12\\21k+6p+12\ \textgreater \ 3n\\n\ \textless \ 7k+2p+4

n<7k+2p+4
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Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the
Artist 52 [7]

Answer:

(a)

f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4

(b)

f(a+h)-f(a)=2ah+h^{2} -3h

(c)

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4

(b)

Evaluate (a) in the function:

f(a)=a^{2} -3a-4

Using the previous answers lets calculate f(a+h)-f(a)

f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11

7 0
3 years ago
I
jolli1 [7]

Answer:

Acceleration equals zero because of constant velocity

f - fr = ma \\ 70 \cos(30)  - fr = 0 \\ 70 \cos(30)  = fr \\  fr \: = 60.62

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

6 0
3 years ago
59 and/or 60. Determine if the triangles are similar. If they are similar, find the scale factor from ABC to JKL.
navik [9.2K]

9514 1404 393

Answer:

  59) not similar

  60)

Step-by-step explanation:

59) The ratios of the side lengths shown cannot be reduced. They are different, so the triangles are not similar.

  7:8:12 ≠ 6:7:11

__

60) The side length ratios both reduce to 8:7:10, so the triangles are similar.

  ∆ABC ~ ∆JKL

The scale factor is LJ/CA = 25/20 = 5/4. (Multiplying ABC by 5/4 will give JKL.)

8 0
3 years ago
Fresh local produce is sold on street corners. You can buy a bunch of 3 bananas for $2. How much would it cost for a bunch of 7
AleksandrR [38]

Answer:

14

Step-by-step explanation:

2x2x2x2x2x2x2

4 0
3 years ago
How to you write the number 5,000,000,000,000,000,000,000,000,000,000
tresset_1 [31]
The way you wrote it is how you write it unless you want to do scientific notation then the answer would be, 5x10^30 because for it to be in scientific notation it has to be between 10 and 1 so I moved the decimal spot over 30 to get it into scientific notation. Hope this helps out.
5 0
3 years ago
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