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4 years ago

Write the following in function notation y = 3x - 10

2 answers:

7 0

In function notation, where f is the function, f(x)=3x-10. Using f(x) means you can write things like f(0) which means: what is the value of the function when x=0? Think of f for flexibility, because functions have greater flexibility than variables like y.

kifflom [539]4 years ago

6 0

Answer:

f(x) = 3x - 10

Step-by-step explanation:

For the equation y = ax +b, the function rule is given by

f(x) = ax +b

In writing function rule for an equation, we generally replace y with f(x) if the equation is given in terms of x.

Comparing y = 3x - 10 with y = ax +b, we get

a = 3 and b = -10

Hence, using the above mentioned concepts, the function rule is

f(x) = 3x - 10

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Rosa works in an office building with many floors.From her office she goes down 5 floors for a meeting .Then she goes up 8 floor

n200080 [17]

Answer:

11th floor

Step-by-step explanation:

So to figure out what floor Rosa's office is in, we need to declare some variables.

x = Rosa's office

down 5 floors = -5

up 8 floors = 8

down 13 floors = - 13

One major clue to find Rosa's office is that she went down 13 floors to get to the 1st floor. So let's declare that Rosa is on the first floor.

x - 5 + 8 - 13 = 1

x - 10 = 1

x = 1 + 10

x = 11

So Rosa's office is at the 11th floor of the building.

8 0

3 years ago

A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 t

forsale [732]

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

P value is 0.0002 at 0.05 significance level

Hence probability =0.4998

7 0

3 years ago

Please solve this question thank you

SVETLANKA909090 [29]

Answer:

angle ABC = 30°

Step-by-step explanation:

I attached a picture. if any part is not understandable leave a comment.

6 0

2 years ago

Identify four over five as proper, improper or mixed

Wittaler [7]

Proper because improper would be 6 over 5 and mixes would be 1 and 1 over 6

8 0

3 years ago

Read 2 more answers

Write an equation of the line that passes through the given point and is parallel to the given line.

9966 [12]

Answer : <em>Equation of line is</em> y=Equation of line is y= $\frac{2}{3}$ x+ $\frac{-5}{3}$

Step-by-step explanation:

Theory :

Equation of line is given as y = mx + c.

Where, m is slope and c is y intercepted.

Slope of given line : y = $\frac{2}{3}$ x+1 is m= $\frac{2}{3}$

We know that line : y = $\frac{2}{3}$ x+1 is parallel to equation of target line.

therefore, slope of target line will be $\frac{2}{3}$ .

we write equation of target line as y= $\frac{2}{3}$ x+c

Now, It is given that target line passes through point ( -5,-2)

hence, point ( -5,-2) satisfy the target line's equation.

we get,

y= $\frac{2}{3}$ x+c

-2= $\frac{2}{3}$ $\times$ -5+ c

-5= $\frac{-10}{3}$ +c

c= $\frac{-5}{3}$

thus, Equation of line is y=Equation of line is y= $\frac{2}{3}$ x+ $\frac{-5}{3}$

7 0

3 years ago