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3 years ago

30 Points, Will mark Brainliest' !

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

Answer:

f(x) = 4x - 3

Step-by-step explanation:

Given the table of domain and range

Using the points, lets find the slope-intercept form

y = mx + b

The slope

m = (5-1)/(2-1) = 4/1 = 4

y-intercept

5 = 4*2 + b
b = 5 -8
b = -3

So the function is

y = 4x - 3
or
f(x) = 4x - 3

You might be interested in

△HFM∼△PST

loris [4]

Answer:

The perimeter of △HFM is 50.75 units

Step-by-step explanation:

The correct picture of the question in the attached figure

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

we have

△HFM∼△PST ----> given problem

step 1

Find the scale factor

Let

z ----> the scale factor

$z=\frac{HF}{PS}$

substitute the given values

$z=\frac{14}{8}=1.75$

step 2

Find the perimeter of triangle PST

Remember that the perimeter of a triangle is the sum of its three length sides

$P=8+9+12=29\ units$

step 3

Find the perimeter of triangle HFM

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor

$29(1.75)=50.75\ units$

6 0

4 years ago

How can you identify unit rate from a table, equation and graph

Zina [86]

Answer:

hiiii

Step-by-step explanation:

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.

(Table)

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour. ( equation)

To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate. ( Graph)

8 0

3 years ago

Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,

Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

$y=\frac{27}{3}x\\y=9x$

The constant of proportionality between y and x is 9.

We want to determine which relationships have the same constant of proportionality 9.

Option A

y=9x

The constant of proportionality is 9.

Option B

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

Option C

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

Option D

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

Option E

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

4 0

3 years ago

There are 9 students in a service club. The club is making gift baskets for children in a hospital. Each club member donated 4 c

VladimirAG [237]

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

4 0

3 years ago

Identify the number that does not belong with the other three. Explain your reasoning. negative 10 over 2, negative 13.4, square

ikadub [295]

-10/2 = rational number
-13.4 = rational number
sqrt 18 = irrational number
22.7(repeating) = rational number

the oddball is sqrt 18 :)

7 0

3 years ago

Read 2 more answers