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kipiarov [429]
4 years ago
9

The cost to mail a package is $7 for the first 2 pounds and 30 cents for each additional ounce. Which of the following functions

represents the cost to mail a package if x is the number of ounces over 2 pounds?
Answers:
a) f(x) = 7 + 0.3x
b) f(x) = 14 + 0.3x
c) f(x) = 0.3(x + 2)
Mathematics
1 answer:
SOVA2 [1]4 years ago
5 0
A. f(x) = 7 + 0.3x

Just re-read your question! Hope I helped!
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A gardener needs to cultivate a triangular plot of land. one angle of the garden is 47, and two sides adjacent to the angle are
gizmo_the_mogwai [7]
We know
area of triangle =
\frac{1}{2}  \times  \sin(47)  \times 77 \times 76
5 0
3 years ago
Read 2 more answers
Which of the following statements are true about the given rational equation? check all of the boxes that apply. 4 x 6 1 x2 = x
Agata [3.3K]

We can actually see that the statements that are true are:

A. x = 1 is a solution.

C. x = –1 is a solution.

<h3>What is rational equation?</h3>

Rational equation is actually known as an equation that contains at least one fraction. The denominator and numerator are known to be polynomials.

We can see then that:

\frac{4}{x + 6}  +  \frac{1}{ {x}^{2} }  =  \frac{x + 10}{ {x}^{3} + 6 {x}^{2}  }

It's clear that: x ≠ 0 and x ≠ -6.

Looking for the LCM of the left hand side, we will have:

\frac{4}{x + 6}  +  \frac{1}{ {x}^{2} }  =  \frac{4 {x}^{2 }  + (x + 6)}{(x + 6) {x}^{2} }

So, we will see that left hand side and right hand side are equal.

4 {x}^{2}  + x + 6 = x + 10

4 {x}^{2}  = 10 - 6

4 {x}^{2}  = 4

{x}^{2}  = 1

x = 1

or

x =  - 1

So, we can see that options A and C are correct.

Learn more about rational equation on brainly.com/question/11611235

3 0
2 years ago
The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The mean travel time from one stop to the next on the Coast S
Goshia [24]

Solution :

a).

Given :

R = 0.636, $S_x = 99$, $S_y=113, M_x=108, M_y=129$

Here R = correlation between the two variables

        $S_x , S_y$ =  sample standard deviations of the distance and travel time between the two train stops, respectively.

      $M_x, M_y$ = means of the distance and travel between two train stops respectively.

The slope of the regression line is given by :

Regression line, b_1  $=R \times \left(\frac{S_y}{S_x}\right)$

                            $=0.636 \times \left(\frac{113}{99}\right)$

                            = 0.726

Therefore, the slope of the regression line b_1 is 0.726

The equation of the regression line is given by :

$\overline {y} = b_0+b_1 \overline x$

The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.

The y-intercept of the regression line $b_0$ is given by :

$b_0=M_y-(b_1 \times M_x)$

  = 129 - (0.726 x 108)

  = 50.592

Therefore, the equation of the line is :

Travel time = 20.592 + 0.726 x distance

b).\text{ The slope of the line predicts that it will require 0.726 minutes} for each additional mile travelled.

The intercept of the line, $b_0$ = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because  it seems we have travelled zero  distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.

c). $R^2=0.404$

This means that the model accounts for around 40.4% variation in the travel time.

3 0
3 years ago
Solve for y.<br> 3x-4y=6<br> Explain please!
Snezhnost [94]
So 3x=6+4y
divide both of the equations by 3
x=2+4y÷3
x=2+4/3 y
your answer
x=2+4/3 y hope this will help

5 0
3 years ago
What is the solution to the open sentence? 8y + 7 = y + 21 A. 2 B. 4 C. 7 D. 14
Airida [17]
8y+7= y+21
Subtract y from both side
7y+7=21
Subtract 7 from both sides
7y = 14
Divide both sides by 7
Y=2 or A


7 0
3 years ago
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