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2 years ago

Explain how to factor when the leading coefficient is 1.

Mathematics

1 answer:

Bas_tet [7]2 years ago

3 0

Answer: C) Find the factors of c that add up to b.

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Explanation:

If we want to factor something in the form x^2+bx+c, then we look for two numbers that

Multiply to c
Add to b

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Let's look at a specific example

Consider factoring x^2+5x+6

We need to find two numbers that...

Multiply to c = 6
Add to b = 5

Through trial and error, you should find the two numbers to be 3 and 2. This means it factors to (x+3)(x+2). The order of the factors doesn't matter.

You can use the FOIL rule or the box method to expand out (x+3)(x+2). You should get x^2+5x+6 again.

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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

3 years ago

Find A/// help please!! ❤️❤️

andre [41]

It’s number 12!!!!! I know it already got answered

5 0

3 years ago

PLEASE HELP, MATH, PLEASE<br>Solve for n: n+5/16 = -1

Anit [1.1K]

$\tt Step-by-step~explanation:$

To solve for n, we have to isolate n. To do so, we move all the terms that are not n to one side of the equation, and leave n on the other side.

$\tt Steps:$

Equation: n + 5/16 = -1

Subtract 5/16 on both sides to bring it to the right side of the equation.

$\tt n+5/16-5/16=-1-5/16\\\\n=-\frac{21}{16}~or~-1\frac{5}{16}$

$\Large\boxed{\tt Our~final~answer:~n=-\frac{21}{16}~or~-1\frac{5}{16} }$

3 0

3 years ago

How I do 4 boxes that weighed total of 34 kilograms if each box had the same amount

Blizzard [7]

Each box would have exactly 8.5 kilograms each in them. Hope this helps mate =)

4 0

3 years ago

Read 2 more answers

A) x= all real #s<br>B) x>0<br>C) x=5<br>D) x=12

sashaice [31]

Answer:

Set of all real numbers

Step-by-step explanation:

When we talk of domain, we mean the possible values of x that the equation can take without being undefined

So x-values that makes the equation defined are the domain of the graph

From the diagram, we can see that the graph extends from negative infinity to positive infinity

What this mean is that the possible values here come from the top right and extends to the left

So this means that the range of possible values are the set of all real numbers

5 0

3 years ago