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Anit [1.1K]
3 years ago
15

Which of the following is a linear function?

Mathematics
1 answer:
Tamiku [17]3 years ago
3 0

Answer:

<h2>C. f(x) = 2 - 7x</h2>

Step-by-step explanation:

\text{The equation of a linear function:}\\\\f(x)=mx+b\\\\m-slope\\b-y-intercept\\----------------------------\\\\A.\ f(x)=\dfrac{2}{x}+7\qquad\bold{NOT}\ /\text{x is in denominator}/\\\\B.\ f(x)=\sqrt{2+7x}\qquad\bold{NOT}\ /\text{x is under square roots}/\\\\C.\ f(x)=2-7x\qquad\bold{YES}\ /m=-7,\ b=2/\\\\D.\ f(x)=2+x+x^2\qquad\bold{NOT}\ /\text{x is in the second power}/

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Plz do both plz plz plz
vlada-n [284]

Answer:

3. 18 meters.

4. A= 6. 25cm^2  and P= 10 cm

5. 16 feet and 3 feet.

Step-by-step explanation:

3. base= 2 (A/h)

2 (72/8) = 18

4. A= side^2

2.5^2 = 6.25

P= 4 sides

2.5 x 4= 10

5. 16x3= 48

6 0
3 years ago
Can someone please help me.
Art [367]

I will give you everything I can do:

11)

Lets say Car A travels at x mph. That means Car B travels at x+2 mph.

Both of them are traveling towards each others, so we can say the total speed is 2x+2.

Now i takes 3 hrs and we know the distance.

Since R*T=D

Then 3(2x+2)=270

So 2x+2=90

2x=88

x=44

12)

To find perpendicular we want to find the opposite reciprocal of the original slope. Therefore the slope is 3/2.

Now we must find the equation of the line with the given variable.

First find b.

5=3/2*4+b

b = -1

So the equation of this line is:

y=3/2x-1

13) All work will be shown below.

6-3(-2-4x)=2(3(x-4)+7)

6+6+12x=2(3x-12+7)

12+12x=2(3x-5)

12+12x=6x-10

6x=-2

x = -1/3

14)

First we must find the amount each train traveled.

The speed of F train(Freight train)=x

The speed of P train(passenger train)=x+6

Their combined speed is 2x+6

It takes 2 hrs to cover 100 miles

So 2(2x+6)=100

2x+6=50

2x=44

x=22

So the freight train covered 44 miles and the passenger train covered 56 miles.

To find average speed you must do Total Distance/Total Time.

44/2 and 56/2

Which are 22 and 28.

The average speed of F train is 22 mph and average speed of P train is 28 mph.

15) Again opposite reciprocal.

3/5 -> -5/3

Work:

-4=-3*-5/3+b

-4=5+b

b=-9

y = -5/3x-9

16)

F=kx-kx0

First kx0 = 0

So F=kx

So x=F/k

4 0
3 years ago
Write a proportion you could use to convert 2.5 gallons to quarts.
marusya05 [52]
We know there are 4 quarts in a gallon, so how many quarts in 2.5 gallons anyway?

\bf \begin{array}{ccll}&#10;quarts&gallons\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;4&1\\&#10;x&2.5&#10;\end{array}\implies \cfrac{4}{x}=\cfrac{1}{2.5}\implies \cfrac{4\cdot 2.5}{1}=x
5 0
3 years ago
Translate this sentence into an equation. 39 is the product of Hector's height and 3. Use the variable h to represent Hector's h
gladu [14]

Answer:

3h=39

Step-by-step explanation:

7 0
2 years ago
Please help me asap thanks !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
saveliy_v [14]

Answer:

the correct answer would be d.

Step-by-step explanation:

These lines should be straight line, since they have no slope.

8 0
3 years ago
Read 2 more answers
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