All categories

3 years ago

20 POINTS PLEASE HELP MEEEE

Mathematics

2 answers:

Triss [41]3 years ago

6 0

its actually 10 points

x^4 + 9x^3 + 15x^2 + 9x + 14

Split 15x^2 into 14x^2 + x^2

x^4 + 9x^3 + 14x^2 + x^2 + 9x + 14 factor as

x^2 [x^2 + 9x + 14 ] + 1 [ x^2 + 9x + 14 ] take out GCF

[ x^2 + 1 ] [ x^2 + 9x + 14 ]

[ x^2 + 1 ] [ x + 7 ] [ x + 2 ]

mark brainliest

shusha [124]3 years ago

4 0

Answer:

$(x+i)(x-i)(x+2)(x+7)$

Step-by-step explanation:

We are given a polynomial in the question.

$f(x) = x^4 + 9x^3 + 15x^2 + 9x + 14$

We have to factor the given polynomial to find its root.

The factorization takes place in the following manner:

$f(x) = x^4 + 9x^3 + 15x^2 + 9x + 14\\= x^4 + 9x^3 + 14x^2+x^2 + 9x + 14=0\\\text{Taking out the common factor}\\= x^2(x^2+9x+14)+1(x^2+9x+14)=0\\=(x^2+1)(x^2+9x+14)=0\\=(x^2-(i^2)(x^2+9x+14)=0\\=(x^2-(i^2)(x^2+7x+2x+14)=0\\\text{Using the technique of splitting the middle term}\\=((x^2-(i^2))(x(x+7)+2(x+7))=0\\=(x+i)(x-i)(x+2)(x+7) = 0\\x = i, x = -i, x =-2, x = -7$

You might be interested in

Of 50 students surveyed, 19 said they had soda for breakfast. write a portion in fraction, decimal, percent

Naya [18.7K]

Answers:
___________________________
In fraction: $\frac{19}{50}$ .
___________________________
In decimal: 0.38 .
_________________
In percent: 38 % .
_________________
Explanation:
_________________
19/50 = (19*2)/(50*2) = 38/100 .

38/100 = 38 ÷ 100 = 0.38 .

38/100 = 38 % .
___________________________

7 0

3 years ago

Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

2 years ago

33 1/3% of 360 please help I don’t understand

Mars2501 [29]

Answer:

33 1/3% of 360 is 120

Step-by-step explanation:

33 1/3 can be converted to 33.333% or simply just 1/3, divide 360 by 3 to get your answer which is 120.

3 0

2 years ago

Read 2 more answers

Factor the expression below. x2 - 4x + 4 A. 4(x2 - x + 1) B. (x - 2)(x + 2) C. (x + 2)(x + 2) D. (x - 2)(x - 2)

Tanzania [10]

Answer:

D. (x - 2)(x - 2)

Step-by-step explanation:

x2 - 4x + 4 = x² - 2x - 2x +4

= x(x-2) - 2(x - 2)

= (x-2)(x-2)

HINT: - 2x +4 = -2 * x + (-2) * (-2) = -2 ( x -2)

4 0

3 years ago

What is the slope of the line that passes through the points (3, -4) and (7, 4)?

Andrews [41]

The correct option is: Option (C) 2

Explanation:

The slope formula is = m = $\frac{y_2 - y_1}{x_2 - x_1}$

Insert the values in the above formula:

m = $\frac{4 - (-4)}{7 - 3} = \frac{8}{4} = 2$

Which is Option (C).

6 0

3 years ago