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lbvjy [14]
3 years ago
8

The function h is defined by h (x) = x^2 +5. Find h (4a). ????

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

16a^2+5

Step-by-step explanation:

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Caleb and Landon work at a dry cleaners ironing shirts. Caleb can iron 30 shirts per hour, and Landon can iron 15 shirts per hou
Hitman42 [59]

Answer:

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

Step-by-step explanation:

Assume that Caleb worked for x hours and Landon worked for y hours

∵ Caleb worked for x hours

∵ Landon worked for y hours

∵ Caleb worked 2 more hours than Landon

→ That means Caleb hours = Landon hours + 2

∴ x = y + 2

→ Subtract y from both sides

∴ x - y = 2 ⇒ (1)

∵ Caleb can iron 30 shirts per hour

∵ Landon can iron 15 shirts per hour

∵ They ironed 330 shirts between them

→ Multiply x by 30 and y by 15, then equate their sum by 330

∴ 30x + 15y = 330

→ Divide both sides by 15 to simplify the equation

∴ 2x + y = 22 ⇒ (2)

The system of the equations is x - y = 2, 2x + y = 22, where x is the number of hours that Caleb worked and y is the number of hours that Landon worked

7 0
2 years ago
Both fractions in the expression 1/3 + 1/3 are examples of ___________
nata0808 [166]
They are both examples of <span>equivalent fractions. :)

</span>
8 0
3 years ago
Read 2 more answers
Which must be true of a quadratic function whose vertex is the same as its y-intercept?
Salsk061 [2.6K]

Answer:

Step-by-step explanation:

The graph passes through the origin.  It could either open up or open down.  The quadratic has two zeros, both at (0, 0).

8 0
3 years ago
Read 2 more answers
A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee
Kipish [7]

Answer:

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

Step-by-step explanation:

Data given and notation

\bar X_{1}=162 represent the mean for sample of clinic attendees

\bar X_{2}=156 represent the mean for the sister city  

s_{1}=41 represent the sample standard deviation for 1  

s_{2}=36 represent the sample standard deviation for 2  

n_{1}=22 sample size for the group 2  

n_{2}=20 sample size for the group 2  

\alpha=0.05 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=22+20-2=40  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

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

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

P value  

Since is a bilateral test the p value would be:  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

3 0
3 years ago
Given f(x)=9x-7, g(x)= 7x-6 find (f-g)(x)
lina2011 [118]
Answer: 2x - 1
(9x - 7) - (7x - 6)
9x - 7 - 7x + 6
2x - 1
5 0
2 years ago
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