Which of these equations represent functions? Check all that apply.

Which is a solution for 4x+8 = 3x + 14? O A. 2 OB. c. 14/3 OD. 6 O E. 7

timofeeve [1]

Answer:

x=6

Step-by-step explanation:

4 0

3 years ago

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Who every gets it right will get Brainly and 20points

Andreyy89

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

$2.54*7=17.78\neq 17.68$

The first answer doesn't match, we do the same for all three remaining answer.

2) $12*7=84\neq 74$

3) $36*7=252$

4) $3.28*7=22.96\neq22.86$

In this case, the answer is the third multiple choice.

6 0

3 years ago

Complete the following table by performing the operations to write equivalent systems.

Anvisha [2.4K]

Answer:

See below:

Step-by-step explanation:

Problem 1:

Multiply Equation 1 by 4, keep Equation 2 the same.

x+y=8, multiply each term by 4:

4*x=4x, 4*y=4y, 8*4=32

so, the equivalent system is: 4x+4y=32 and x-y=2

Solve the system of equations:

x-y=2 becomes x=y+2

plug into 4x+4y=32 to solve for y

4(y+2)+4y=32---> 4y+8+4y=32--->8y=24---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 1 Answer:

Equivalent system: 4x+4y=32, x-y=2; solution: x=5, y=3

Problem 2:

Keep Equation 1 the same. Add 1 and 2.

To add an equation, add the left sides together, and then the rights.

so: x+y=8 + x-y=2 gives us: 2x=10

solve for x ---> 2x/2=10/2--->x=5

plug x into x+y=8--->5+y=8--->y=3

Problem 2 answer:

Equivalent system: x+y=8, 2x=10; solution:x=5, y=3

Problem 3:

Subtract Equation 2 from 1, and keep 2 the same.

To subtract an equation, subtract the left sides, then the rights. We are subtracting 1 from 2, so its 2-1.

x-y=2 - x+y=8 gives us: -2y=-6

Solve for y by dividing by -2-->-2y/-2=-6/-2---> y=3

Plug into x-y=2---> x-3=2---> x=5

Problem 3 answer:

Equivalent system: -2y=-6, x-y=2; solution: x=5, y=3

Problem 4:

Multiply the sum of Equation 1 and 2 by a factor of 3. Keep equation 2 the same.

First we add 1 and 2: (we did this earlier) ---> 2x=10 ---> now we multiply it all by 3---> 2x*(3)=10*(3)---> this gives us: 6x=30---> now divide by 6 to solve for x: 6x/6=30/6 gives us: x=5

Now, solve for y by plugging x into equation 2: x-y=2---> 5-y=2--->y=3

Problem 4 answer:

Equivalent system: 6x=30, x-y=2; solution: x=5, y=3

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Quick Tip: One thing inherent of Equivalent systems is that they have the same set of solutions. Thus, we know the systems are equivalent when they have the same set of solutions for x and y. Moreover, you don't need to solve every time after you attempt to find an equivalent system, instead, just plug in the values found in problem 1 to each new set of equations to test if they are equivalent.

If we find x=5 and y=3 for x+y=8 and x-y=2, then all we have to do is plug them in to 6x=30 and -2y=-6 to see if they are equivalent.

6(5)=30 ---> true

-2(3)=-6 ---> true

8 0

4 years ago

Help!!!! Simplify root 63x^3 times 2root 8x

gulaghasi [49]

Answer:

12\sqrt{14}x^2 (see photo)

Step-by-step explanation:

8 0

3 years ago

Select the correct answer. Function f is an exponential function that has an initial value of 64 and decreases by 50% as x incre

lozanna [386]

9514 1404 393

Answer:

D. Both functions are decreasing at the same average rate on that interval

Step-by-step explanation:

The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.

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Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.

3 0

3 years ago

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