What are the solutions of this quadratic equation

If 3 units equal 3 feet, what is the value of 1 unit?

aleksklad [387]

Answer:1 foot

If 3 units equal 3 feet, what is the value of 1 unit?

5 0

2 years ago

A car rental company charges, y, for x, days. Days 3 4 5 6

VMariaS [17]

The equation of the car rental company in the form y = kx is; y = 18.50x

The equation y = kx is such that;

y = dependent variable

x = independent variable

k = constant of proportionality.

In essence; to determine the constant of proportionality, k in this case;

k = y/x

Since the company charges, $55.50 for 3 days; we have;

By evaluation k = $55.50/3

k = 18.50.

A constant rate of change means the variation in the dependent variable as dependent on the independent variable is constant

Read more:

brainly.com/question/19012756

3 0

3 years ago

It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor

max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

$\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}$

$\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}$

$\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}$

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

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

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

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0

3 years ago

I need help with this problem plzzz

Effectus [21]

Not sure sorry but you can. Try searching on google or yahoo answers

6 0

3 years ago

Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home

slamgirl [31]

The regression equation of Y on X is given by the following formula:

$Y-\bar{Y}=b_{yx}(X-\bar{X})$

Where byx is given by the formula:

$b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}$

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

$\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}$

Now, the average of X and Y is the sum divided by N, then:

$\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}$

Replace these values in the formula and find the regression equation as follows:

$\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}$

The answer is a) y=4.6x+28.26

7 0

1 year ago