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2 years ago

Write the equation 2x 2 - 4x + 6 = 1 in standard form and then choose the value of "c."

Mathematics

2 answers:

Karolina [17]2 years ago

6 0

It is 5
2x2 -4x +6-1= 0 is the standard form

DIA [1.3K]2 years ago

5 0

Answer:

Option 1. 5 is the correct option.

Step-by-step explanation:

Since we know the standard form of a polynomial is ax²+bx +c =0

So we have to transform the given equation 2x²-4x+6 =1 in the standard given as above.

2x² - 4x + 6 = 1

2x² - 4x + 6 - 1 = 0

2x² - 4x + 5 = 0

Now this is the standard form of the equation.

Here constant term c = 5.

Therefore Option 1. c = 5 is the correct option.

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A rectangular plot of land that contains 1500 square meters will be fenced and divided into two equal portions by an additional

WINSTONCH [101]

Let x = the length of the rectangle
Let w= the width

Two sections are required, hence 2w of fence required
2x+3w=500

this can be written as:
3w=1500-2x
w=(1500-2x)/3

Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3

This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750

3 0

2 years ago

Susan charges $8 per hour walking her neighbor’s dog. She charges $12 per hour babysitting. Part A: Define the variables. Part B

IgorC [24]

Answer:

Part A: The variables are the amount charged per hour dog walking and the amount charged per hour babysitting.

Part B: y=8d+12b

Step-by-step explanation:

4 0

2 years ago

The sum of an infinite geometric sequence is 33.25.

marysya [2.9K]

Answer:

Let a be the first term.

The sum is a1−r=33.25.

The second term is ar=7.98, so a=7.98/r.

Putting these together, 7.98/r(1−r)=33.25 or r(1−r)=0.24=0.6×0.4.

If the answer doesn't jump out at you from there, you could solve for r with the quadratic formula.

Step-by-step explanation:

I Hope It's Helpful :)

8 0

2 years ago

Read 2 more answers

The height of an arrow shot upward can be given by the formula s = v0t - 16t2, where v0 is the initial velocity and t is time. H

Lina20 [59]

The arrow is at a height of 48 ft after approximately 0.55 seconds and after 5.45 seconds.

<em><u>Explanation</u></em>

The given formula is: $s=V_{0}t-16t^2$

If the initial velocity is 96 ft/s , that means $V_{0}=96$

For finding the time the arrow takes to reach a height of 48 ft, we will plug $s= 48$ into the above formula. So......

$48=96t-16t^2\\ \\ 16t^2-96t+48=0\\ \\ 16(t^2-6t+3)=0\\ \\ t^2-6t+3=0\\ \\ t^2-6t =-3\\ \\ t^2-6t+9=-3+9\\ \\ (t-3)^2 = 6\\ \\ t-3= \pm \sqrt{6} \\ \\ t=3\pm \sqrt{6}\\ \\ t = 5.45 , 0.55$