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cestrela7 [59]
3 years ago
8

I'm really struggling with this form if you could leave steps that'd be amazing!

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

2x + 5 + h

Step-by-step explanation:

You are told f(x) is defined this way.

f(x) = x^2 + 5x - 3

To find f(x + h), replace x with x + h in the definition of the function.

f(x + h) = (x + h)^2 + 5(x + h) - 3     Equation 1

Now you need to insert this entire expression in the fraction you are given and simplify it.

Here is the expression you were given:

\dfrac{f(x + h) - f(x)}{h}

Now we replace f(x + h) with the expression above (Eq. 1). We replace f(x) with the original quadratic expression.

\dfrac{(x + h)^2 + 5(x + h) - 3 - (x^2 + 5x - 3)}{h}

Now we expand the square of the binomial and distribute the negative throughout the parentheses.

\dfrac{x^2 + 2hx + h^2 + 5x + 5h - 3 - x^2 - 5x + 3)}{h}

2x + h + 5

Combine like terms in the numerator.

\dfrac{2hx + h^2 + 5h)}{h}

\dfrac{h(2x + h + 5)}{h}

2x + 5 + h

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(a) A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of 1200 regist
Sladkaya [172]

Answer:

n=9604

Step-by-step explanation:

1) Notation and definitions

X=620 number of people that would vote for the Republican candidate

n=1200 random sample taken

\hat p=\frac{620}{1200}=0.517 estimated proportion of people that would vote for the Republican candidate

p true population proportion of people that would vote for the Republican candidate

Me= 0.01 represent th margin of error.

Confidence =0.95 or 95%

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1- p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The problem says that we need to use \hat p =0.05, and replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.96})^2}=9604  

And rounded we have that n=9604

6 0
3 years ago
3x/3=? I WILL MARK U BRAINLIST!!!!!
insens350 [35]

Answer:

3 x 3 =9

Step-by-step explanation:

9

4 0
3 years ago
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The dry erase board is 200 centimeters longer.
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3 years ago
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This question is only for boys<br> what are the signs that a boy likes you
pantera1 [17]

Answer: He leans towards you whenever you are sitting close to one another.

He rarely turns his back on you.

He smiles a lot and looks at you keenly.

He maintains eye contact with you.

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Step-by-step explanation:

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6c-8-2c=-16+c what’s the value of c
Artemon [7]

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

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Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

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Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

7 0
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