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2 years ago

What is the graph of the function rule? y=|3x|+2 Options below!

Mathematics

2 answers:

inessss [21]2 years ago

6 0

Answer: the 4th/last option

Step-by-step explanation:

Y goes up when x goes down or up. When x = 0, y = 2

jolli1 [7]2 years ago

6 0

Step-by-step explanation: I like to have the 3 on the

outside and we can just write it as y = 3|x| + 2.

Now, we know that this is the form y = a|x - h| + k where

(h, k) represents the vertex of the function.

Notice that there is no value of <em>h</em> so we say that h = 0.

In addition, we know that k = 2 so our vertex is (0, 2).

This eliminates the first graph and the third graph.

Since <em>a</em> is positive, our function opens upward.

So graph 4 matches with our equation.

You might be interested in

A bacterial culture starts with 500 bacteria and doubles in size every half-hour.

tekilochka [14]

Answer:

a). 32000

b). $T_{t}=500\times 4^{t}$

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

$T_{n}=ar^{n}$

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

$T_{3}=500\times 4^{3}$

$T_{3}=32000$

b). After t hours number of bacteria will be represented by

$T_{t}=500\times 4^{t}$

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of $\frac{2}{3}$ hours

By the formula,

$T_{\frac{2}{3}}=500\times 4^{\frac{2}{3}}$

$T_{\frac{2}{3}}=1259.92$ ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

8 0

3 years ago

Read 2 more answers

Kyle wants to make $10,000 in gift cards. Each gift card is worth $100 and costs 1,200,000 in points. How many points does Kyle

OleMash [197]

Kyle needs 100 $100 gift cards to reach $10,000 in gift cards (100x100=10,000). Each gift card is 1,200,000 points so 100x1,200,000=120,000,000. Kyle needs 120,000,000 points to make $10,000 worth of gift cards.

6 0

3 years ago

Find the slope of the line whose equation is 8y-16x=12

Mice21 [21]

The formula for slope is y=mx+b
so if you re arrange the equation from 8y-16x=12
to 8y=16x+12
the slope will be the coefficient of x =16

5 0

2 years ago

Rachel has a collection of 40 stuffed animals. 3/8 of the animals are bears and are dogs. How many bears and dogs does she have?

Ludmilka [50]

Answer:

total animal 40

number of bears are 40×3/8=15

number of dogs will be 40 - 15 = 35

Step-by-step explanation:

hope it helped u buddy

5 0

3 years ago

Solve the system of equations. 5x y = 9 3x 2y = 4 (−2, 5) (1, 4) (2, −1) (4, −4)

kobusy [5.1K]

The solution of the system of equations that is given is (2,-1).

Given a system of equations are 5x+y=9 and 3x+2y=4.

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. A solution to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied.

The given equations are

5x+y=9 ......(1)

3x+2y=4 ......(2)

Here, the substitution method is used to solve the system of equations.

Find the value of y from equation (1) by subtracting 5x from both sides.

5x+y-5x=9-5x

y=9-5x

To find the value of x substitute the value of y in equation (2).

3x+2(9-5x)=4

Apply the distributive property a(b+c)=ab+ac as

3x+2×9-2×5x=4

3x+18-10x=4

Combine the like terms on the left side as

-7x+18=4

Subtract 18 from both sides and get

-7x+18-18=4-18

-7x=-14

Divide both sides by -7 and get

(-7x)÷(-7)=(-14)÷(-7)

x=2

Substitute the value of x in equation (1) and get

5(2)+y=9

10+y=9

Subtract 10 from both sides

10+y-10=9-10

y=-1

Hence, the solution of system of equations 5x+y=9 and 3x+2y=4 is (2,-1).

Learn more about system of equations from here brainly.com/question/13729904

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6 0

2 years ago