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3241004551 [841]

2 years ago

10

5

1 answer:

Shkiper50 [21]2 years ago

3 0

Answer:

A

Step-by-step explanation:

3(x+2)+4x=3x+6+4x=7x+6

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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−

Neko [114]

Answer:

$P(x) = x^3 - 10x^2+ 34x-40$

Step-by-step explanation:

Given

$p =1$ -- Leading coefficient

$Zeros: 4\ and\ 3 - i$

Required

Determine the polynomial

Represent the zeros with a and b

Such that

$a = 4$

$b = 3 - i$

The polynomial is:

$P(x) = p * (x - a) * (x - b)$

$P(x) = 1 * (x - 4) * (x - (3 - i))$

However, to solve further: We need to symmetrise over 3-i and its conjugate

$P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))$

$P(x) = (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\$

To define a suitable function, the expression becomes

$P(x) = (x - 4) * ((x - 3)^2+1)$

$P(x) = (x - 4) * ((x - 3)(x - 3)+1)$

$P(x) = (x - 4) * (x^2 - 6x + 9+1)$

$P(x) = (x - 4) * (x^2 - 6x +10)$

Open bracket

$P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40$

$P(x) = x^3 - 6x^2 - 4x^2+10x + 24x-40$

$P(x) = x^3 - 10x^2+ 34x-40$

5 0

2 years ago

What is the value of x

likoan [24]

Answer: The value of x is 8x

Step-by-step explanation:

3 0

3 years ago

What percent of 480 is 160?<br> A. 0.3%<br> B. 3%<br> C. 30%<br> D. 33.3%<br> E. 300%

Kaylis [27]

Answer: E

Explanation: If you are using a calculator, simply enter 480÷160×100 which will give you 300 as the answer.

4 0

2 years ago

The perimeter of 2ft squared

Brums [2.3K]

Answer:

the peremiter will be 2 x one factor +2 the other factor. lets say the area of the rectangle is square feet. then the rectangle could be 8x12; so the perimeter would be 2x8+2×12 or 40 but the rectangle could also be 6 x 16 the peremiter would be 44

4 0

3 years ago

Plz I NEEEEED HELP NOWWWW PLZ PLZ PLZ

Liula [17]

<h2>○=> <u>Correct option</u> :</h2><h2> $\color{hotpink}\bold{ (a) \: 130}$ </h2><h3>○=> <u>Steps to derive correct option</u> :</h3>

Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.

Which means :

$=\tt 3p + 1 + p + 7 = 180$

Let us solve that equation to find the value of p and the two angles :

$=\tt 3p + 1 + p + 7 = 180$

$=\tt 3p + p + 1 + 7 = 180$

$=\tt 4p + 8 = 180$

$= \tt4p = 180 - 8$

$= \tt4p = 172$

$=\tt p = \frac{172}{4}$

$\hookrightarrow \tt \color{plum}p = 43$

Thus, value of p = 43

Measure of angle (p+7)° :

$=\tt 43 + 7$

$\tt\color{plum}angle \: (p + 7)° =\tt 50°$

Measure of angle (3p+1)° :

$=\tt 43 \times 3 + 1$

$= \tt129 + 1$

$\tt\color{plum}angle \: (3p + 1)° = 130°$

Thus, the measure of the larger angle = 130°

Therefore, the correct option is <em>(a) 130</em>

3 0

2 years ago