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Kazeer [188]
3 years ago
14

A store charges their customers based on the number of items that they buy. Jane bought four items and was charged $15 and Georg

e bought twelve items and was charged $39. Write a function to model the cost based on the number of items you buy. Then determine how much you bought if you were charged $33.
A) f(x) = 3x + 3; f(10) = 33
B) f(x) = 3x + 3; f(33) = 102
C) f(x) =1/3 + 3; f(90) = 33
D) f(x) = 1/3x + 3; f(33) = 14
Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

A) f(x) = 3x + 3; f(10) = 33

Step-by-step explanation:

39 = 3x + 3 \\ \\ 36 = 3x \\ \\ 12 = x

15 = 3x + 3 \\ \\ 12 = 3x \\ \\ 4 = x

*33 = 3x + 3 \\ \\ 30 = 3x \\ \\ 10 = x

** From what the problem said, we know that we selected the correct equation.

I am joyous to assist you anytime.

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Express the following as a fraction in its simplest form.
pychu [463]

Given:

Consider the given expression is:

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

To find:

The simplified form of the given expression.

Solution:

We have,

\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}

Taking LCM, we get

=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}

=\dfrac{10h+10f+15f+15k+24h-6k}{30}

=\dfrac{34h+25f+9k}{30}

Therefore, the required simplified fraction for the given expression is \dfrac{34h+25f+9k}{30}.

6 0
3 years ago
Write the product in its simplest form<br>-3y.3y4<br>Enter the correct answer.​
Sauron [17]

Answer:

\large\boxed{-9y^5}

Step-by-step explanation:

-3y\cdot3y^4=(-3\cdot3)(y\cdot y^4)\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=-9y^{1+4}=-9y^5

5 0
3 years ago
1. Find the inverse functions of the following<br> a. f (x) = 5x +3
Mrac [35]

Answer:

y = 5x + 3

x = 5y + 3

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Step-by-step explanation:

8 0
3 years ago
The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in
oksano4ka [1.4K]

Answer:

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

p_v =P(Z>2)=0.0228  

Step-by-step explanation:

1) Data given and notation  

\bar X=8300 represent the sample mean  

\sigma=1200 represent the population standard deviation  

n=64 sample size  

\mu_o =800 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :  

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

4) P-value  

Since is a one-side upper test the p value would given by:  

p_v =P(Z>2)=0.0228  

5) Conclusion  

If we compare the p value and the significance level assumed, for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.  

4 0
3 years ago
Carlos has used 40 cell phone minutes each day for one full week. His cell phone plan allows for a total of 320 minutes per week
Vesnalui [34]
320/40 which you simplify.
4 0
3 years ago
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