All categories

3 years ago

Please please help me with this. Matrices is so difficult.

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

Answer:

Choice D.

Step-by-step explanation:

D=[18. 16]

[-14 -6]

-0.5D = [-0.5(18) -0.5(16)]

[-0.5(-14) -0.5(-6)]

-0.5D = [ -9 -8]

[ 7 3]

You might be interested in

Pleas help me find the composition of goh and it’s domain

Ksivusya [100]

Solution:

The function is given below as

$\begin{gathered} g(x)=\frac{x+4}{x-1} \\ h(x)=2x-1 \end{gathered}$

To figure out

$(goh)(x)$

To do this , we will substitute x= 2x-1 in g(x)

$\begin{gathered} g(x)=\frac{x+4}{x-1} \\ g(h)(x)=\frac{2x-1+4}{2x-1-1} \\ g(h)(x)=\frac{2x+3}{2x-2} \end{gathered}$

Hence,

The composte function will be

$(goh)(x)=\frac{2x+3}{2x-2}$

Step 2:

To figure out the domain,

In mathematics, the domain of a function is the set of inputs accepted by the function.

Hence,

The domain of the function is

$\begin{bmatrix}\mathrm{Solution:}\:&\:x1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:1\right)\cup \left(1,\:\infty \:\right)\end{bmatrix}$

5 0

1 year ago

Help please, The length of a field is three times its width. If the perimeter is 64 m, what is the width of the field?

Yuki888 [10]

The answer is (a) 8m
This is because, if the length is 3 times as long as the width, you would multiply the numbers by 3 to give you a length.
8×3=24 16×3=48
We can stop at this point as we know the perimeter is 64 and to work out the perimeter you add up all the sides. 48+48+16+16 is larger than 64 so the only smaller number is 8. We can check this is correct by adding up the numbers.
8+8+24+24=64
We now know that the width of the field is 8m.

3 0

4 years ago

Given f(x) = x^2 − 2x − 5.

lukranit [14]

Answer:

$(x - 1)^2 - 6$

Step-by-step explanation:

You need to know:

Vertex form = $a(x -h)^2 + k$

The vertex is at

(h, k)

Need to know about perfect squares

Need to know how to complete the square.

-----------------------------------------------------------------------------------------

To convert $x^2-2x-5$ you need to complete the square on the equation.

Complete the Square $x^2 - 2x -5$

$x^2 - 2x -5$

$(x^2 - 2x) -5$

Divide -2 by 2 and then square it.

$\frac{-2}{2} = -1$

$-1^2 = 1$

Add the one to the parentheses and subtract the one from the 5

$(x^2 - 2x +1) -5 -1$

Square $(x^2 - 2x +1)$

$(x-1)^2$

Now we have

$(x - 1)^2 -5 -1$

Next add -5 - 1 = -6

$(x - 1)^2 - 6$

Our quadratic is in vertex form now.

Vertex form = $a(x -h)^2 + k$

our equation = $(x - 1)^2 - 6$

Vertex = (1, -6)

5 0

4 years ago

Please help!!! Isosceles, equilateral, or scalene

Elenna [48]

Answer:

scalene

Step-by-step explanation:

if a triangle has 3 different sides it's scalene if it has two sides that are the same it's isosceles and if all sides are the same it's an equilateral

4 0

4 years ago

Read 2 more answers

The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions (BLS website, January 2014). Suppose a s

vitfil [10]

Answer:

There is not enough evidence to support the claim that union membership increased.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 11.3% = 0.113

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.113\\H_A: p > 0.113$

The null hypothesis sates that 11.3% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.13-0.113}{\sqrt{\frac{0.113(1-0.113)}{400}}} = 1.073$

now, we calculate the p-value from the table.

P-value = 0.141636

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the claim that union membership increased.

5 0

3 years ago