MATHEMATICS HIGH SCHOOL

What is the equation for the graph shown?

Answers

Answer 1

Answer:

Answer:

y = -2x + 6

Step-by-step explanation:

The graph is a line Then it has an equation of the form : y = my + p

where m is the slope and p is the y-intercept.

the line crosses the y-axis at the point (0,6) then

p = 6

the line is going down then

m is negative

the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6

Answer 2

Answer:

Answer:

y = -2x + 6

Step-by-step explanation:

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Which of the following occurs within the solution process for ∛(5x-2)-∛4x=0A.)squaring both sides once
B.)squaring both sides twice
C.)cubing both sides once
D.)cubing both sides twice

Answers

Answer:

cubing both sides once

Step-by-step explanation:

∛(5x-2)-∛4x=0

To solve this equation , we move second term to the other side

Add cube root (4x) on both sides

$\sqrt[3]{5x-2} =\sqrt[3]{4x}$

Now we remove cube root.

To remove cube root we take cube on both sides because cube and cube root will get cancelled.

$(\sqrt[3]{5x-2})^3=(\sqrt[3]{4x})^3$

$5x-2=4x$

So, cubing both sides once

Answer:

Step-by-step explanation:

rearrangeing:-

∛(5x - 2) = ∛((4x)

Cubing both sides:-

5x - 2 = 4x

A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000 until 2016. Which of the following is the most reasonable domain for the function?

Answers

The domain of a function is the set of input values the function can take.

The reasonable domain of the function is [0,16]

From the question, we understand that x represents the number of years after 2000 until 2016.

In 2000, the value of x is 0
In 2016, the value of x is 16

Hence, the reasonable domain of the function is [0,16]

Answers

Answer:

C.) No solution

Step-by-step explanation:

3y=3/2x+6

Just divide 3 by both sides.

3/2 divided by 3/1
3/2 * 1/3 = 1/2

y = 1/2x + 2 is the solution

How is the quotient 80,000 divided by 2,000 different from the quotient 80,000 divided by 200 or 80,000 divided by 20?

Answers

Notice that the divisors 2,000, 200 and 20 are similar except for the number of zeros.
You can remove a zero from each dividend equal to the number of zeros in the divisor.
So 80,000 ÷ 2,000 is equivalent to 80 ÷ 2 = 40 ( I removed 3 zeros from each)
80,000 ÷ 200 is equivalent to 800 ÷ 2 = 400 (notice that I could only remove 2 zeros)
Finally 80,000 ÷ 20 only allows us to remove on zero --- 8,000 ÷ 2 = 4,000.
The smaller the divisor the greater the quotient (when dividing the same number - in this case 80,000)

Final answer:

The quotients of 80,000 divided by 2,000, 200, and 20 differ because of the magnitude of the divisor. The quotient is larger when the divisor is smaller.

Explanation:

The difference in the quotients of 80,000 divided by 2,000, 200, and 20 comes from the magnitude of the divider. The larger the divider, the smaller the quotient.

If you divide 80,000 by 2,000, the quotient is 40. When you divide 80,000 by 200, the quotient is 400. Lastly, if you divide 80,000 by 20, the quotient is 4,000. Hence, the quotients are different because of the different divisor values in each operation. The smaller the divisor, the larger the quotient gets.