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3241004551 [841]
3 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]3 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]3 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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Find the distance between the two points and simplest rational form (3,-4) (6,-7))
pychu [463]

Answer:

D = 3\sqrt{2}

Step-by-step explanation:

Given

(x_1,y_1) = (3,-4)

(x_2,y_2) = (6,-7)

Required

Determine the distance between the two points

Distance (D) is calculated as:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Substitute values for x's and y's

D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}

D = \sqrt{(6 - 3)^2 + (-7 +4)^2}

D = \sqrt{(3)^2 + (-3)^2}

D = \sqrt{9+9}

D = \sqrt{18}

Express as 9 * 2

D = \sqrt{9*2}

Split:

D = \sqrt{9}*\sqrt{2}

D = 3*\sqrt{2}

D = 3\sqrt{2}

4 0
2 years ago
PLZ help me i will give you ten points for it and for helping me on the rest of the 6 problems PLZ HELP!!
Helen [10]

<u>Answer:</u>

Yes, I believe so.

<u>Step-by-step explanation:</u>

When you look at this equation on a graphing table, it is a straight line that goes directly through the 0,0 cords.

I hope this helped!

If it's wrong I'm very sorry!

6 0
2 years ago
Mindi is Simplifying the expression 9 - 5x + 8 - 4x. Here is her work:
babymother [125]
Mindi should have added the 8 and 9 to make the expression 17-9x
5 0
2 years ago
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What is the difference of the lengths of and ? use the value = 3.14, and round the answer to two decimal places. a. 1.25 units b
natulia [17]

The difference between the length of arc BD and CE is 1.57 units

<h3>Length of an arc</h3>

length of arc = ∅ / 360 × 2πr

where

  • r = radius
  • ∅ = central angle

Therefore,

BD = 45 / 360 × 2 × 3.14 × 6 = 1695.6 / 360 = 4.71 units

CE = 45 / 360 × 2 × 3.14 × 8 = 2260.8 / 360 = 6.28 units

Therefore, the difference between the length of arc BD and CE is as follows:

6.28 - 4.71 = 1.57 units

learn more on length of arc here: brainly.com/question/3984590

#SPJ4

6 0
1 year ago
Can someone pls help for brainlest
WARRIOR [948]

Answer:

I think it 1188mm but not that sure if someone can double make sure

4 0
3 years ago
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