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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bekas [8.4K]

The percent off the store should display is 27.0%

The initial percent off given to Matt = 20%

The additional percent off given to Matt = 7%

The percent off the store should display is the total percent off given to their product. That is, the addition of the first and second percent off.

The total percent off the store gave to Matt is calculated as;

= 20% + 7%

= 27%

To the nearest tenth of a percent = 27.0%

Thus, the percent off the store should display is 27.0%

Learn more here: brainly.com/question/16956055

3 0

2 years ago

Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80

SashulF [63]

This is the concept of trigonometry, we are required to calculate the number of floors the building has given the information above;
# floors=[height of the building]/[height of each floor]
height of each floor=17 ft
let the height of the building be,h.
h is given by;
tan theta=opposite/adjacent
theta=80
opposite=h
adjacent=75 ft
thus
tan 80=h/75
h=75 tan 80
h=425.35 ft
thus the number of floors will be:
425.35/17
=25.020≈25 floors

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3 years ago

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