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1 year ago

Which identity could be used to rewrite the expression x^4-100?

2 answers:

8 0

Given the polynomial of degree 4, this can be written as:
x^4-100
let
x^2=a
thus the expression can be written as:
a^2-100
this is a polynomial of degree 2 also known as quadratic equation.
Hence the answer is:
A) Quadratic formula

Llana [10]1 year ago

7 0

Answer: D: difference of squares (apex)

Step-by-step explanation:

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460 times 0.15
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Alejandro would like to start a new business. His friends have suggested he go into merchandising. But he's confused about what

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Answer:

Step-by-step explanation:

This is the complete question

(Alejandro would like to start a new business. his friends have suggested he go into merchandising. but he's confused about what exactly

merchandising is. which sentence provides alejandro with the most accurate description of merchandising?

merchandising is selling your skills, expertise, knowledge, and experience for money

merchandising is selling a product bought at a wholesale price at a higher retail price

merchandising is selling a product that you have created directly to your target customer.

d. merchandising is selling marketing ideas and advertising campaigns to other companies.

e. merchandising is selling a customized service to cater to a customer's needs and wants).

The most accurate description of what merchandising is option B, because it entails the selling of a product, bought at a whole sale price at a higher retail price through different approach such as offering promos or discounts, bargaining and even giving the customer first hand information about the product they are about to buy. Merchandising involves convincing the customer to buy a product in your shop while making profit from it.

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Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Each w

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9 + 1.34 + 1 2 (3.50 +1.74)
Step 1: add what is inside the parenthesis
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Step 2: multiply what is inside the parenthesis by 12.
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Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases

Vanyuwa [196]

Answer:

$g(x)=\frac{1}{2}(3^{-x})$

Step-by-step explanation:

Given:

The graph of function $f(x)\ and\ g(x)$ are given.

The equation for $f(x)$ is given as:

$f(x)=3^x$

Now, the graph of $g(x)$ is a reflection of $f(x)$ .

The graph of $g(x)$ passes through the point (-1, 1.5) [second quadrant] and crosses the y-axis at (0, 0.5).

As evident from the graph, the functions $f(x)\ and\ g(x)$ are reflections about the y-axis.

We know the transformation rule for reflection about the y-axis as:

$f(x)\to f(-x)\\\\\therefore 3^x\to3^{-x}....(\textrm{Reflection about y-axis})$

Now, the y-intercept of the function $y=3^{-x}$ is obtained by plugging in $x=0$ . This gives,

$y=3^0=1$

So, the y-intercept is at (0, 1). But the graph of $g(x)$ crosses the y-axis at (0, 0.5). As we observe, the coordinate rule for the transformation can be written as:

(0, 1) → (0, 0.5)

$(x,y)\to (x,\frac{1}{2}y)$

So, the reflected graph is compressed vertically by a factor of $\frac{1}{2}$ .

Therefore, the transformation is given as:

$y\to \frac{1}{2}y\\\\\therefore 3^{-x}\to \frac{1}{2}(3^{-x})$

Therefore, the equation for $g(x)$ is:

$g(x)=\frac{1}{2}(3^{-x})$

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Question 1 Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your metho

attashe74 [19]

Answer:

(a) The 95% confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is (0.34, 0.40).

(b) Not reasonable.

Step-by-step explanation:

The information provided is:

n = 1000

$\hat p$ = 0.37

(a)

The (1 - α)% confidence interval for the population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Here,

$\hat p$ = sample proportion

n = sample size

$z_{\alpha/2}$ = critical value of z.

Compute the critical value of z for 95% confidence interval as follows:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the value.

Compute the 95% confidence interval for the population proportion p as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=0.37\pm 1.96\times\sqrt{\frac{0.37(1-0.37)}{1000}}$

$=0.37\pm 0.03\\=(0.34, 0.40)$

Thus, the 95% confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is (0.34, 0.40).

(b)

Now we need to determine whether it is reasonable to believe that the actual percent of people in the United States whose favorite sport to watch on television is American football is 33%.

The hypothesis can be defined as:

H₀: The percentage of people in the United States whose favorite sport to watch on television is American football is 33%, i.e. p = 0.33.

Hₐ: The percentage of people in the United States whose favorite sport to watch on television is American football is different from 33%, i.e. p ≠ 0.33

The hypothesis can be tested based on a confidence interval.

The decision rule:

If the (1 - α)% confidence interval includes the null value of the test then the null hypothesis will not be rejected. And if the (1 - α)% confidence interval includes the null value of the test then the null hypothesis will be rejected.

The 95 confidence interval for the proportion of all people in the United States who would indicate that their favorite sport to watch on television is American football is (0.34, 0.40).

The confidence interval does includes the null value of p, i.e. 0.33.

So, the null hypothesis will be rejected.

Hence, concluding that is is not reasonable to believe that 33% is the actual percent of people in the United States whose favorite sport to watch on television is American football.

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