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3 years ago

What is the domain and range of the step function with the equation below f(x)=-3 x

1 answer:

3 0

The function f(x)=-3x follows a linear form y=ax+b, where a is the slope and b is the y-intercept. From our function:
f(x)=-3x
f(x)=-3x+0
slope, a=-3 and y-intercept is 0. This implies that the function is a linear function, thus the domain and range will be:
domain:
(-∞,∞)

Range:
(-∞,∞)

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Brian was asked to write x72 as a product of 2 powers with the same base in 4 different ways, using only positive exponents.

Oksana_A [137]

The equivalent expression to the value given using the laws of indices is ${x}^{4(18)}$

Evaluating the options given based on the laws of indices :

${x}^{8}. {x}^{9} = {x}^{8 + 9} = {x}^{17}$
${x}^{35}. {x}^{47} = {x}^{35 + 47} = {x}^{82}$
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Therefore, the only expression which would give a correct way of representing ${x}^{72} \: is \: {x}^{4(18)}$

Learn more : brainly.com/question/12937923?referrer=searchResults

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3 years ago

Given 2x - y = 6, solve for y

Naddik [55]

Solve for y ans

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4 0

3 years ago

Read 2 more answers

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan

OleMash [197]

Answer:

$S_g= 33.333cm$

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

$S_g=\frac{a(1-r^n)}{1-r}$

Mathematically solving for total distance traveled we have

$S_g=\frac{30(1-(0.10^5)}{1-(0.10)}$

$S_g=\frac{30}{0.9}$

Therefore the total distance traveled by the pendulum after 5 swings

$S_g= 33.333cm$

3 0

3 years ago

If I can walk 9673.6 meters in 5 hours. How far can I walk in 70 minutes. ( I need the work)

den301095 [7]

First, convert 5 hours into minutes:

5 hours 60 min

------------ * --------------- = 300 min

1 1 hr

Next, find the unit rate in m/min:

9673.6 m

--------------- = 32.24 m/min

300 min

Now find the distance you can walk in 70 minutes at this rate:

32.24 m

------------- * 70 min = 2247 meters (answer)

1 min

You could walk 2247 meters (to the nearest meter) in 70 minutes.

6 0

3 years ago

Please help! Algebra 1 math.

olya-2409 [2.1K]

A. The data in the table represent a function. y=x/2. This is seen as for every value of x in the table, y=x/2(half of it). You can show this further by trying this fact on each value.

B. For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
y=24-10 y=14
This means the relation given in this part has a greater value when x=8

C. When x=80, f(x)=3(80)-10
=240-10
=230

4 0

3 years ago