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stira [4]
2 years ago
12

Find the equation of the line with a slope of 4 that goes through the following point: (6,2)

Mathematics
1 answer:
Rasek [7]2 years ago
4 0

Answer:

y=4x-22

Step-by-step explanation:

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What are the zeros of 3x^2+5x-12
levacccp [35]

Factor the quadratic equation (3x-4)(x+3). Then set the factors equal to zero.

3x-4=0, solve to get 4/3

x+3=0 x=-3

5 0
3 years ago
In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large
Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>The probability distribution is:</em>

<em>x   P(x) </em>

<em> 0   0.30 </em>

<em>1    0.40 </em>

<em>2   0.20 </em>

<em>3   0.06 </em>

<em>4   0.04</em>

The mean can be calculated as:

M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04

3 0
3 years ago
Graph y=-6(3)^x<br><br> please do the table and the graph <br><br> 20 POINTS!
Margarita [4]

Answer:

<em>Explanation to the answer below... (Answers in the Explanation</em><em>)</em>

Step-by-step explanation:

We Know that our rule is y = y = -6(3)^{x} , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.

1st Point,

y = -6(3)^{x}\\y =  -6(3)^{1}\\y = -6(3)\\y = -18\\x = 1, y = -18

2nd, point

y = -6(3)^x\\ y = -6(3)^2\\y = -6(9)\\y = -54\\x = 2, y = -54

3rd Point

y = -6(3)^x\\y = -6(3)^3\\y = -6(27)\\y = -162\\x = 3, y = -162

4th Point

y = -6(3)^4\\y = -6(81)\\y = -486\\x = 4, y = -486\\

5th Point

y = -6(3)^5\\y = -6(243)\\y = -1458\\\x = 5, y = -1458

6th Point

y = -6(3)^x\\y = -6(3)^6\\y = -6(729)\\y = -4,374\\x = 6, y = -4,374\\

7th Point (Last Point)

y = -6(3)^x\\y = -6(3)^7\\y = -6(2,187)\\y. = -13,122\\x = 7, y = -13,122

Let's now plot them on the Graph, the values are so big, the graph might look a little odd.

Always remember that we can continue the points infinitely, and there is no stop, The Graph is attached below...

4 0
2 years ago
HELP ASAP
vovangra [49]

Answer:

  • See below and the attachment

Step-by-step explanation:

<em>Refer to attached graph.</em>

<em>It i</em>ncludes the points and a best fit line produced by a graphing calculator.

  • 17. The scatter plot is attached
  • 18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
  • 19. The point is plotted: 2500 minutes gives about 880 field goal attempts.

4 0
3 years ago
Tell whether or not f(x)= π sin 3x -4π sin 2 x is a sinusoid.
gregori [183]
<h2>B. No</h2>

The given equation is not a sinusoid

4 0
3 years ago
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