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SVEN [57.7K]
2 years ago
11

explain how the number of text messages Dario sent and the cost form an arithmetic sequence. Then write an expression to find Da

rio's text messaging bill if he sends N text messages over 250
Mathematics
2 answers:
Dovator [93]2 years ago
8 0
For less than or equal to 250 text messages Dario pays $5.00. After that, for every additional text message he pays $0.15.It means that the number of additional text messages ( n = 1, 2, 3, ... ) and the cost: ( c1 = $5.15,  c2 = $5.30,  c3 = $5.45, ... ) form an arithmetic sequence.An expression for the bill Dario must pay if he sends more than 250 text messages is:C = 5.00 + n · 0.15For example, if he has 260 text messages: 260 - 250 = 10C (260) = 5.00 + 10 · 0.15 = 5.00 + 1.50 = $6.50  
Mnenie [13.5K]2 years ago
6 0

Answer:

Step-by-step explanation:

Given that upto 250 messages Dario sent there is a fixed rate say C=5

i.e. even if Dario sends 1 message Dario has to pay C

After 250 messages for each additional message 0.15 has to be paid

This means for 251 , 5.15

252, 5.30

253, 5.45 and so on.

Hence this forms an arithmetic sequence with starting at 5 and common difference 0.15

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3y = x - 12<br> Y= 1/3X -4<br> parallel, perpendicular or neither
aliina [53]

Answer:

PARALLEL

Step-by-step explanation:

The second equation, y = (1/3)x - 4, has already been solved for y.  To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.

We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.

5 0
2 years ago
A score of "3" on a par 5 hole is also known as a(n) _____.
den301095 [7]
The correct answer is "eagle." A score of "3" on a par 5 hole is also known as an eagle. Albatross on the other hand is <span>a score of 3-under par on a hole. </span><span> A birdie is universally known as a score of 1-under par on a hole. An </span>eagle<span> is 2-under par or 3-under par 5.</span>

Here are the choices.
eagle
birdie
bogey
par
7 0
3 years ago
The revenue R you receive for selling pizza slices depends on the price p that you charge per slice and is modeled by R =-16p
sp2606 [1]

Answer:

p \geq 0

Step-by-step explanation:

Given

R(p) = -16p^2 + 80p + 5

Required

Determine the domain of the function

To do this, we need to solve for the vertex, p of the function

p= \frac{-b}{2a}

Given the the general form of a quadratic function is:

y = ax^2 + bx + c

By comparison, we have:

a = -16    b =80    c = 5

So:

p= \frac{-b}{2a}

p = \frac{-80}{-16 * 5}

p = \frac{-80}{-80}

p = 1

Substitute 1 for p in R(p) = -16p^2 + 80p + 5

R(1) = -16(1)^2 + 80(1) + 5

R(1) = -16 + 80 + 5

R(1) = 69

This implies that

(p, R) = (1,69)

The interpretation of this is that;

<em>For every value of p, there's a corresponding value of R.</em>

<em>However, because p indicates price and it's impossible to have a negative price, we can say that the minimum value of p is 0;</em>

Hence, the domain is

p \geq 0

8 0
3 years ago
Hey 64° angle is bisected buy a really what is the measure of each angle formed
Oliga [24]
So it would be 64÷2=32
since if it is bisected it is cut in half which would result in each of the two angles being 32 degrees

7 0
3 years ago
Teacher:<br> Find the Slope and Y-interce<br> 1)<br> x + 4y = 32<br> slope =<br> y-intercept =
OverLord2011 [107]

Answer:

Slope = -1/4

y-intercept = 8

Step-by-step explanation:

Given a line equation, x + 4y = 32

To get the slope and y-intercept from this equation, we shall represent it in the slope form of a line equation

The slope form of a line equation is given as

y = mx + c

Where;

m = slope

c = y-intercept

Step 1

x + 4y = 32

Subtract x from both sides of the equation

x + 4y - x = -x + 32

4y = -x + 32

Step 2

Divide both sides by 4 to make y subject

4y/4 = -x/4 + 32/4

y = -x/4 + 8

y = (-1/4)x + 8

This equation corresponds to

y = mx + c

m = -1/4

c = 8

Therefore, the slope, m = -1/4

The y-intercept, c = 8

8 0
2 years ago
Read 2 more answers
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