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3 years ago

Find the solution set for the given inequality if the replacement set for x is the set {1, 2, 3, 4}. 4x – 3less or equal than5

Mathematics

2 answers:

docker41 [41]3 years ago

8 0

The answer is 1 and 2 (I believe, the question isn't very clear).

Vanyuwa [196]3 years ago

6 0

<span>Considering your replacement set is only 4 numbers, you could solve this problem through substitution. One at a time substitute the values of the replacement set into the inequality and record which ones yield a true statement. To solve this inequality, you must multiply/divide by flipping the sides of the inequality and the sign itself. In this case, you would first add 3 to both sides giving you 4x > 8. Dividing both sides by 4 gives you x > 2. The solutions from the replacement set would be 2, 3, and 4.</span>

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kow [346]

Answer:

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Step-by-step explanation:

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2 years ago

This table shows a value that represents an exponential function what is the average rate of change for this function for the in

aliya0001 [1]

Answer:

Option A is correct, i.e. 12.

Step-by-step explanation:

Given is the table of x&y relationship which represents an exponential function.

The average rate of change for a function can be found using the following formula:-

F_average = { f(b) - f(a) } / (b-a)

Given a = 3 and b = 5.

From the table, f(3) = 8 and f(5) = 32.

So, F_average = (32-8)/(5-3)

F_average = 24/2 = 12.

Hence, option A is correct, i.e. 12.

4 0

2 years ago

What is the slope of the line given by the equation y=-1/3x? Entee your answer as an integer or fraction in lowest terms.

Serhud [2]

-1/3

really? it's that easy dude.

whatever number is next to x, like say, 3x, that number would be the slope, so it would be 3.

hope it helped.

6 0

3 years ago

Cedric's basketball team scored fewer than 76 points in their last game. Which of the following inequalities represents the numb

Lelechka [254]

Answer: $n$

Step-by-step explanation:

Although you did not provide the inequalities, the only inequality that can represent the number of points Cedric's basketball team scored in their last game is the one shown below:

Let's call the number of points Cedric's basketball team scored in their last game: $n$ .

You know that Cedric's basketball team scored fewer than 76 points in their last game. "Fewer than" means "less than", which is represented with the symbol < .

Therefore, you can represent the number of points Cedric's basketball team scored in their last game with the following inequality:

$n$

8 0

3 years ago

Write the equation of the line that passes through (-1, 11) and (3, -5)

Genrish500 [490]

Answer:

y= -4x+7

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line first.

$gradient = \frac{y1 - y2}{x1 - x2}$

Using the above formula,

$m = \frac{11 - ( - 5)}{ - 1 - 3} \\ m = \frac{11 + 5}{ - 4} \\ m = \frac{16}{ - 4} \\ m = - 4$

Susbt. m= -4 into the equation:

y= -4x +c

Subst. a coordinate to find c.

When x=3, y= -5,

-5= -4(3) +c

-5= -12 +c

c= 12 -5

c=7

Thus the equation of the line is y= -4x +7.

8 0

3 years ago