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3241004551 [841]
4 years ago
15

Use the x-intercept method to find all real solutions of the equation x^3-10x^2+17x+28=0

Mathematics
2 answers:
hammer [34]4 years ago
7 0

Answer:

x = -1, x = 4 and x = 7

Step-by-step explanation:

x-intercept method consists in plotting the equation, in this case x^3-10x^2+17x+28, and see where the graph intersects the x-axis. These are the points where for a given value of x, y = 0, and they are called the solutions of the equation. In this case these points are: x = -1, x = 4 and x = 7 (see figure attached).

Alekssandra [29.7K]4 years ago
6 0

A graphing calculator shows the x-intercepts of the expression on the left to be -1, 4, 7.

The real solutions to the cubic equation are x ∈ {-1, 4, 7}.

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Christopher made 3 1/4 dozen cupcakes. He added vanilla icing to 1/3 of the cupcakes and added chocolate icing to the rest. How
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1 dozen = 12

First you would multiply.

3.25 x 12 = 39 cupcakes total
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Then you subtract.

39 - 4 = 35 cupcakes with chocolate icing

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A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
Kaylis [27]

Answer:

<u>There are:</u>

  • 6 red balls - R
  • 5 black balls - B
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<h3>A. Without replacement</h3>

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  • P(BB) = 5/11*4/10 = 2/11

ii. <u>The first is black</u>

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or, alternatively

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iii. <u>Both are of same colour</u>

  • P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11
<h3>B. With replacement</h3>

i. <u>Two blacks </u>

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ii. <u>The first is black</u>

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or alternatively

  • P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. <u>Both are of same colour</u>

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In 1993 eggs cost $0.87 a dozen. In 2003 it cost $1.56 a dozen. How much did the eggs appreciate (percent of increase)?
rusak2 [61]

Answer:

190%

Step-by-step explanation:

$1.56 is close to nearly 2x the value of $0.87

You can start by multiplying $0.87 by 2 to get $1.74

Now put $1.56 / $1.74

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