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3 years ago

So i have 2 questions

Mathematics

1 answer:

Art [367]3 years ago

6 0

Answer:

f of x equals negative one third x plus 5

Step-by-step explanation:

Question 1

We know the line contains the point (a,b)=(0,1) and has a slope m=0

We can find the equation of a line knowing both parameters by using

y-b=m(x-a)

y-1=0(x-0)

This is the required equation of the line

y=1

Question 2

The student is running a 5-Km race. Les's set x as the time in minutes. 3 minutes are needed to complete one Kilometer, so every single minute will be enough to run 1/3 Km. Every x minutes, the distance will be

$D=\frac{x}{3}$

Since the runner needs to complete 5 Km in total, the distance still to complete will be

$f(x)=5-D$

$f(x)=5-\frac{x}{3}=-\frac{1}{3}x+5$

This is the required function. It can be written as

"f of x equals negative one third x plus 5"

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the point Z(3, -3) is rotated 180 degrees counterclockwise around the origin. what are the coordinates of the resulting point, Z

Leviafan [203]

Answer: -3 , 3

Step-by-step explanation:

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7 0

3 years ago

A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

p(private) be the proportion of alumni of the private university who attended at least one class reunion

Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

The formula for the test statistic is given as:

z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

p1 is the sample proportion of public university students who attended at least one class reunion ( $\frac{808}{1311}=0.616$ )

p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

p is the pool proportion of p1 and p2 ( $\frac{808+647}{1311+1038}=0.619$ )

n1 is the sample size of the alumni from public university (1311)

n2 is the sample size of the students from private university (1038)

Then z= $\frac{0.616-0.623}{\sqrt{{0.619*0.381*(\frac{1}{1311} +\frac{1}{1038}) }}}$ =-0.207

Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.

6 0

3 years ago

Can someone please please please help me please

anzhelika [568]

#9 is answer A) yes,

#10 the answer is A) (n,j)

5 0

3 years ago

The larger of two numbers is one more than 3 times the smaller. Eight times the smaller decreased by

Zina [86]

L# = 1 + 3S#
8S# - 2L# = 10

8S# - 2(1 + 3S#) = 10
8S# - 2 + 6S# = 10
14S# = 12
S# = 6/7

L# = 1 + 3(12/14)
L# = 25/7

4 0

2 years ago

Enter the correct value so that each expression is a perfect square trinomial

myrzilka [38]

Answer:

Step-by-step explanation:

1). x² - 10x + a²

By using the formula of (a - b)² = a² - 2ab + b²

x² - 2(5)x + a²

Therefore, for a perfect square of the expression a should be equal to 5.

Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

= x² + 2(a)x + 6²

For a perfect square of the given expression value of a should be 6.

x² + 2(a)x + 6² = x² + 2(6)x + 6²

= (x + 6)²

Therefore, x² + 12x + 36 will be the answer.

3). $x^{2}+\frac{1}{2}x+a^2$

$x^{2}+2(\frac{1}{4})x+a^2$

To make this expression a perfect square,

a² = $(\frac{1}{4})^2$

$x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2$ = $(x+\frac{1}{4})^2$

Therefore, the missing number will be $\frac{1}{16}$ .

5 0

3 years ago