All categories

3 years ago

How do I solve: 6x^2 -x-12=0 ^2 means squared by the way!

Mathematics

1 answer:

Alchen [17]3 years ago

7 0

$6x^2 -x-12=0\\
6x^2+8x-9x-12=0\\
2x(3x+4)-3(3x+4)=0\\
(2x-3)(3x+4)=0\\
x=\frac{3}{2} \vee x=-\frac{4}{3}
$

You might be interested in

Cheng inc. is considering a capital budgeting project that has an expected return of 40% and a standard deviation of 30%. what i

Radda [10]

Coefficient of variation is the ratio of the standard deviation to the mean (average)

Coefficient of variation = (standard deviation/mean) × 100
$CV= \frac{30}{40}$ × $100$ = $75$

5 0

2 years ago

In a one-way ANOVA, what is the difference between the among-groups variance MSA and the within-groups variance MSW?

LuckyWell [14K]

Answer:

$MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

Step-by-step explanation:

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $j$ groups and on each group from $j=1,\dots,j$ we have $n_j$ individuals on each group we can define the following formulas of variation:

$SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2$

$SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2$

$SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2$

And we have this property

$SST=SS_{between}+SS_{within}=6750+8000=14750$

The degrees of freedom for the numerator on this case is given by $df_{num}=k-1$ where k represent the number of groups.

The degrees of freedom for the denominator on this case is given by $df_{den}=df_{between}=N-k$ .

And the total degrees of freedom would be $df=N-1$

We can find the $MSR=MSA=\frac{SSR}{k-1}$

And $MSE=MSW=\frac{SSE}{N-k}$

The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .

And the we can find the F statistic $F=\frac{MSR}{MSE}=$

8 0

3 years ago

Can someone please be amazing and help me solve number 2?

inessss [21]

The answer is

T2=(P2V2/T1)/P1V1

7 0

2 years ago

Adam bought A new pair of baseball cleats for $65 the sales tax is 5.5% what is the total cost in dollars that Adam will pay

Dmitry [639]

(65×5.5%)+65 = 68.575

8 0

3 years ago

Write a subtraction sentence using integers.than,write the equivalent addition sentence and explain how to find the sum.please h

nata0808 [166]

Answer:

First option: 10 - (1) = 9

Second option: 10 - 5 + 4 = 5 + 4 = 9

Step-by-step explanation:

(10 -5) -4 = 5 - 4 = 1

Equivalent equation: 10 - 5 - 4 = 1

10 - (5-4) = there would be 2 ways to do this, you can either solve the equation in the bracket first or break it out. Because the sign before the bracket is minus so when you break it out, the minus sign in the bracket would become -- or equal to +

First option: 10 - (1) = 9

Second option: 10 - 5 + 4 = 5 + 4 = 9

Hope this help you:3

6 0

2 years ago