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geniusboy [140]
3 years ago
6

What are all of the real roots of the following polynomial? f(x) = x4 - 24x2 - 25

Mathematics
2 answers:
MrMuchimi3 years ago
5 0
It factors as ...
  f(x) = (x² -25)(x² +1) = (x -5)(x +5)(x² +1)
A root will make one of the factors equal to zero. The quadratic factor has only complex roots.

The real roots are x = ±5.

AfilCa [17]3 years ago
4 0

Answer:

5, -5

Step-by-step explanation:

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Luda [366]

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) <u>4$</u> per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) <u>2$</u> per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = <u>2</u>x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) <u>3$</u> per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

4) Store B. Because 2 is less than 3 which is less than 4.

7 0
3 years ago
Read 2 more answers
a rectangle has a length of 14 meters and a width of 200 centimeters. What is the area of the rectangle in meters?
Alborosie

Answer:

a=28m^2

Step-by-step explanation:

Given:

l=14m

w=200cm

Required

a=?

w in meters

Formula:

1m=100cm

b=200cm---criss cross it

b*100cm/100cm=1m*200cm/100cm

b=2m

a=l*w

a=14m*2m

a=28m^2

4 0
3 years ago
Write the equation of the line in fully simplified slope intercept form
yan [13]

The equation of the given line is y = 5/6x - 2

The standard equation of a line in slope-intercept form is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept

Using the coordinate point (0, -2) and (-6, 3)

Slope m = 3-(-2)/-6-0

m = 5/6

Since the line cuts the y-axis at y = -2, hence the y-intercept is -2.

Find the equation of a line;

y = mx + b

y = 5/6x + (-2)

y = 5/6x - 2

Hence the equation of the given line is y = 5/6x - 2

Learn more on equation of a line here: brainly.com/question/7098341

8 0
2 years ago
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?
jarptica [38.1K]

Answer:

Option B is correct

Left 1 unit.

Explanation:

According to the graph theory of transformation:

y = f(x+k)=\left \{ {{k>0 shift graph of y= f(x) left k unit} \atop {k

Given the parent function: f(x)=x^2

and the function g(x)=x^2+2x+1

we can write it as:

g(x)= (x+1)^2   [ ∴(a+b)^2 = a^2+2ab+b^2 ]

Therefore, vertex of the graph of the function g(x)=(x+1)^2 is 1 units to the left of the vertex of the graph of the function f(x)=x^2 .




6 0
3 years ago
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Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.
Gala2k [10]
Hello here is a solution :

6 0
3 years ago
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