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Pie
3 years ago
10

Please help asap really important

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0
1) slope-2/3, y-intercept-(0,6)
2) slope- -2/3, y-intercept-(0,-3)
3) slope- 8, y-intercept-(0,-6)
4) slope- 6, y-intercept-(0,-8)

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The figure is the net for a rectangular prism.
oksano4ka [1.4K]

Answer:

SA=544\ cm^2

Step-by-step explanation:

we know that

The surface area of a rectangular prism is equal to the area of its six rectangular faces

using the net

The surface area is equal to

SA=2[(16)(6)]+2[(16)(8)]+2[(8)(6)]

SA=192+256+96

SA=544\ cm^2

3 0
3 years ago
What is the value of the square of i?
BlackZzzverrR [31]
I^2 = (sqrt-1)^2 then the square cancels out so the answer is just

-1
3 0
3 years ago
What is the 9th term in the sequence 2, -6, 18, -54, ...?
gregori [183]

Your answer would be 13,122

You would multiply by -3 each time for this particular sequence.

Hope I helped!

6 0
3 years ago
Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
1 year ago
70% of the 60 coffee mugs at Zeke's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?
spin [16.1K]
The answer is 42
60*0.7= 42
7 0
3 years ago
Read 2 more answers
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