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Gennadij [26K]
3 years ago
5

You have a cable that costs $39 a month for a basic plan plus one movie channel. Your friend has the same basic plan plus two mo

vie channels for 45.50. What is the price is the basic plan charge that you both pay?
Mathematics
1 answer:
mina [271]3 years ago
5 0
32.50, 

<span>45.50 - 39 = 6.50 (the cost of one movie channel) </span>
<span>39 - 6.50 = 32.50 (the cost of cable without any movie channels) </span>

<span>Proof </span>
<span>32.50+6.50+6.50 = 45.50 </span>
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4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
Natalka [10]

The zeros of

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

are

x=0,x=-2,x=-5x=0,x=−2,x=−5

EXPLANATION

The given function is

y = x(x + 2)(x + 5)y=x(x+2)(x+5)

To find the zeros of the above function, we just have to equate the function to zero and solve for x.

x(x + 2)(x + 5) = 0x(x+2)(x+5)=0

This implies that,

x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0

x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5

To graph the above function, we need to consider the multiplicity.

We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.

We also need to consider the position of the graph on the following intervals,

x < - 5x<−5

When

x = - 10x=−10

y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0

The graph is below the x-axis.

- 5 \: < \: x \: < \: - 2−5<x<−2

When

x = - 3x=−3

y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0

The graph is above the x-axis.

- 2 \: < \: x < \: 0−2<x<0

when

x = - 1x=−1

y = -1(1)(4) \: < \: 0y=−1(1)(4)<0

The graph is below the x-axis.

Finally the interval,

x \: > \: 0x>0

when

x = 1x=1

y = 1(3)(6) \: > \: 0y=1(3)(6)>0

The graph is above the x-axis.

We can now use the above information to sketch graph as shown in the diagram above

3 0
3 years ago
If 2^21 = x + 2^20, what is the value of x ?
andrew-mc [135]

Answer:

x = 1048576

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is 3x^2-2n-5=0<br> please help me!!!
expeople1 [14]
The answer to your question is: 
It is a quadratic equation in 'x', with 'n' mistakenly typed in the second term..

Although you didn't ask for the solutions to the equation, I'm already here
so I might as well go through it and find them:

<span><u>3x² - 2x - 5 = 0</u></span>

In terms of the generic quadratic formula:
A = 3
B = -2
C = -5

Plug those into the quadratic formula, and you discover that

<u>x = -1</u>
and
<u>x = ⁵/₃</u>
7 0
3 years ago
Read 2 more answers
Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation
Vadim26 [7]

Answer: 250=70x+50

Step-by-step explanation:

250 being the total would go at the equal sign

250=

And since it says 70 Per car that means it would be 70x so

250=70x

50 dollars in tips is a total so

250=70x+50 is your equation

3 0
3 years ago
Read 2 more answers
What is the difference between slope intercept and point slope form?
antiseptic1488 [7]

Answer:

Step-by-step explanation:

Point slope form and slope-intercept form are both ways of expressing the equation of a straight line. Point slope form emphasizes the slope and ANY point on the line. Slope intercept form just shows the slope and the y-intercept of a line

3 0
2 years ago
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