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lord [1]
3 years ago
7

How to Factor the Trinomial x^2 - x + 1 using the box method?

id="TexFormula1" title="x^2 - x + 1" alt="x^2 - x + 1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer:

x = 1+√3 i/2 and x = 1-√3 i/2

Step-by-step explanation:

Given the expression x^2 - x+ 1, we are to factorize the expression as shown;

x^2 - x+ 1,

using the general formula

x = -(-1)±√1²-4(1)/2(1)

x = 1±√1-4/2

x= 1±√-3/2

x = 1±√3 i/2

Hence the required value of x are x = 1+√3 i/2 and x = 1-√3 i/2

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A 99% confidence interval for the sugar content (per 5 oz. serving) of a shipment of strawberries is 5.9 to 8.3 grams.
gavmur [86]

Answer:

Sample mean = 7.1

Margin of error = 0.465

Step-by-step explanation:

Formula for confidence interval is;

CI = x¯ ± zE

Where;

x¯ is sample mean

z is critical value at confidence level

E is margin of error.

z for 99% Cl is 2.58

We are told the CI is 5.9 to 8.3.

Thus;

5.9 = x¯ - 2.58E - - - - (1)

8.3 = x¯ + 2.58E - - - - (2)

Add both equations together to get;

14.2 = 2x¯

x¯ = 14.2/2

x¯ = 7.1

Put 7.1 for x¯ in eq 1 to get;

5.9 = 7.1 - 2.58E

7.1 - 5.9 = 2.58E

E = 1.2/2.58

E = 0.465

5 0
3 years ago
HELP ME WOTH THIS QUESTIONNN!!
bekas [8.4K]

Answer:

C

Step-by-step explanation:

For lines l and m and the transversal line that creates angles 6 and 18, angles 6 and 18 are corresponding angles of lines l and m. If they are congruent, lines l and m are parallel.

Answer: Choice C

8 0
2 years ago
Explain why the graph of quadratic function could not contain both a minimum vertex and a maximum vertex at the same time.
KonstantinChe [14]
A quadratic function is a function of the form f(x)=ax^2+bx+c. The vertex, (h,k) of a quadratic function is determined by the formula: h= \frac{-b}{2a} and k=f(h); where h is the x-coordinate of the vertex and k is the y-coordinate of the vertex. The value of a determines if the <span>parabola opens upward or downward; if</span>a is positive, the parabola<span> opens upward and the vertex is the minimum value, but if </span>a is negative <span>the graph opens downward and the vertex is the maximum value. Since the quadratic function only has one vertex, it </span><span>could not contain both a minimum vertex and a maximum vertex at the same time.</span>
3 0
3 years ago
Which situation can be modeled by the expression-12 x 1/3?
fomenos

Answer:hehdhfhdhd

Step-by-step explanation:

Hdhdhhs

7 0
3 years ago
Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical. 20 students have tickets. S
vlabodo [156]

Answer:

<h2>The option B and D are the equations.</h2>

Step-by-step explanation:

Let, the total number of students are x.

The number of students having the ticket is 4 + \frac{x}{2}.

It is given that the number is 20.

Hence, 4 + \frac{x}{2} = 20\\4 = 20 - \frac{x}{2}.

Option B is the equation.

Option D is also the same.

The difference is just, the variable is wriiten in the other side.

4 0
3 years ago
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