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3 years ago

It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

Answer:

0.04 dollars per text

Step-by-step explanation:

5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer

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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

3 years ago

Read 2 more answers

Explain with example of why 2^(-8) * 2^(-7) is equal to 2^(-15)

tatyana61 [14]

(-8)*(-7)=(-15)

the 2 in the beginning stays the same, and you multiply what’s in the parentheses to get (-15)

4 0

2 years ago

Given f (X) = 4x +6 find f (x) = 54

Nikitich [7]

Answer:

x = 12

Step-by-step explanation:

Step 1: Define

f(x) = 4x + 6

f(x) = 54

Step 2: Substitute variables

54 = 4x + 6

Step 3: Solve for x

Subtract 6 on both sides: 48 = 4x

Divide both sides by 4: 12 = x

Step 4: Check

Plug in x to verify it is a solution.

f(12) = 4(12) + 6

f(12) = 48 + 6

f(12) = 54

3 0

3 years ago

Read 2 more answers

An analyst from an energy research institute in California wishes to precisely estimate a 99% confidence interval of the average

Lena [83]

Answer:

190

Step-by-step explanation:

Data provided in the question:

Confidence level = 99%

Therefore,

α = 1% = 0.01

[ from standard normal table ]

z-value for $z_{\frac{\alpha}{2}}= z_{\frac{0.01}{2}}=$ = 2.58

Margin of error, E = $0.06

Standard deviation, σ = $0.32

Now,

n = $(\frac{z_{0.005}\sigma}{E})^2$

Here,

n is the sample size (or the minimum number of gas stations )

on substituting the respective values, we get

= $(\frac{z_{0.005}\sigma}{E})^2$

= $(\frac{2.58\times0.32}{0.06})^2$

= 13.76²

= 189.3376 ≈ 190

Hence,

minimum number of gas stations that she should include in her sample is 190

5 0

2 years ago

write a ratio for the following description: for every 6 cups of flour in a bread recipe there are two cups of milk

8090 [49]

6:2 because there are 6 cups of flour and 2 cups of milk if u put the 2 first it means 2 cups to 6 cups and you need to answer it the exact way the it is asked I am in elementary school and I know this

8 0

3 years ago

Read 2 more answers