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2 years ago

Which function is the inverse of f(x) = -5x- 4?

Mathematics

1 answer:

almond37 [142]2 years ago

3 0

Answer:

Inverse of $- 5 x - 4 =$ $\frac{x + 4}{5}$

Step-by-step explanation:

Let y = -5x-4

Swap y and x

x = -5y -4

Solve for y

x+4 = -5y

$y=- \frac{x + 4}{5}$ which is the inverse

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If equation by parabola is given by, p(x) = x^2 -5x + 6 then its factors are:

user100 [1]

Answer:

x^2-2x-3+6=0

(x-2x)-(3x+6)=0

x(x-2)-3(x-2)=0

(x-3)(x-2)=0

x-3=0 or x-2=0

x=3or x=2

3 0

4 years ago

Which 2 values of x are roots of the polynomial below?

Alexxx [7]

Given:

The given polynomial is:

$f(x)=$ $3x^{2}-3x+1$

To find the roots of the given polynomial.

To find the roots we have to take $f(x) = 0$

So,

$3x^{2} -3x+1 = 0$

Formula

By quadratic formula, the root of the equation $ax^{2} +bx+c = 0$ is,

$x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2} -4ac} }{2a}$

Now,

Putting, $a=3, b=-3, c=1$ we get,

$x = \frac{3+\sqrt{3^{2}-4(3)(1) } }{(2)(3)}$ and $\frac{3-\sqrt{3^{2}-4(3)(1) } }{(2)(3)}$

$x = \frac{3+\sqrt{-3} }{6}$ and $x=\frac{3-\sqrt{-3} }{6}$

Hence,

The values of the roots of the given polynomial are $x=\frac{3+\sqrt{-3} }{6}$ and $x=\frac{3-\sqrt{-3} }{6}$

Hence, Option A and F are the correct answer.

5 0

3 years ago

A graduated commission employee makes 3.5% interest on the first $50,000 in sales and 6.5% interest on all sales over $50,000. W

Dominik [7]

3 0

4 years ago

Read 2 more answers

Your teacher will report the mean and standard deviation of the sampling distribution created by the class.

sukhopar [10]

Answer:

$\hat p = \frac{\sum_{i=1}^{40} \hat p_i}{40}$

$\hat p = 0.493$

And the deviation is given by this formula:

$s_{\hat p}= \frac{\sum_{i=1}^{40} (\hat p_i - \hat p)^2}{n-1}= 0.085$

And as we can see the population proportion expected for the number of heads 0.5 is very close to the mean of the sampling distribution, the error is :

$\% Error = \frac{0.5-0.493}{0.5}* 100 = 1.4\%$

Step-by-step explanation:

Assuming the data on the figure attached. We ar assuming that this is a sampling distribution of sample proportions of heads in 40 flips of a coin.

As we can see we have the following values:

0.25, 0.35, 0.375,0.375, 0.40,0.40,0.40, 0.425,0.425,0.425, 0.45,0.45,0.45,0.45, 0.475,0.475,0.475, 0.475,0.475, 0.50,0.50,0.50, 0.525,0.525,0.525,0.525, 0.55,0.55,0.55,0.55,0.55, 0.575,0.575,0.575 0.575, 0.575, 0.60,0.60, 0.65,0.65

And we can calculate the sample proportion with the following formula:

$\hat p = \frac{\sum_{i=1}^{40} \hat p_i}{40}$

$\hat p = 0.493$

And the deviation is given by this formula:

$s_{\hat p}= \frac{\sum_{i=1}^{40} (\hat p_i - \hat p)^2}{n-1}= 0.085$

And as we can see the population proportion expected for the number of heads 0.5 is very close to the mean of the sampling distribution, the error is :

$\% Error = \frac{0.5-0.493}{0.5}* 100 = 1.4\%$

4 0

3 years ago

Pls heeeeeeeeeeeeeeeeeeeeeeeeelp

bonufazy [111]

So
Total cost of the workbooks is d
And the number of workbooks is t
Therefore d = 95
95=19t
t=95/19=5
5 workbooks

6 0

4 years ago