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3 years ago

What is the solution to 4x+6<_18?

Mathematics

2 answers:

Lesechka [4]3 years ago

6 0

Your answer is going to be -6 :)

Rufina [12.5K]3 years ago

3 0

Answer:

-6 on both sides

4x < 12

divide by 4

x < 3

if the 18 is negative

4x = -24

x < -6

Step-by-step explanation:

You might be interested in

a ball is dropped from the height of 64 feet. its height can be modeled by the function h(t)=-16t^2+64, where t is the time in s

puteri [66]

Answer:

It takes 1.323 seconds for the ball to fall by 36 feet

Step-by-step explanation:

The height of the ball dropped from a height of 64 ft is modeled by the equation:

h(t) = -16t² + 64 where t is the time in seconds.

To find the time it takes to fall 36 ft, we substitute h(t) too be 36 ft and then solve the resulting quadratic function.

Substituting h(t) to be 36 ft:

36 = -16t² + 64

multiply through by -1

-36 = 16t² - 64

add 36 to both sides

16t² -64 + 36 = -36 + 36

16t² - 28 = 0

add 28 to both sides

16t² - 28 + 28 = 0 +28

16t² = 28

Divide both sides by 28

16t²/16 = 28/16

t² = 1.75

Find squre root of both sides

√t² = √1.75

t = 1.323 seconds

It takes 1.323 seconds for the ball to fall by 36 feet

5 0

3 years ago

Suppose that we have constructed a 95% confidence interval for the true mean salary of graduating business majors: (50k, 70k). B

slava [35]

Answer:

d. 60k

Step-by-step explanation:

The sample mean is the midpoint between the lower and the upper limit of the confidence interval, that is, the sum of the lower and the upper limit divided by 2.

In this problem, we have that:

Lower limit: 50k

Upper limit: 70k

(50k + 70k)/2 = 60k

So the correct answer is:

d. 60k

4 0

3 years ago

A charity raises $25,200 which is 315% of their original goal. What was their original goal amount?

Gnoma [55]

Answer:

For you it would be 8,000

Step-by-step explanation:

Divide your progress toward your goal by your goal. In the first example, divide 9 by 30 get 0.3. In the second example, divide $440 by $1,000

your welcome:)

6 0

3 years ago

2x-y=-1 , 3x-y=2 solve by substition

Mazyrski [523]

Answer:

x = 3, y = 7

or (3,7)

Step-by-step explanation:

We are given the system of equations below:

$\large{ \begin{cases} 2x - y = - 1 \\ 3x - y = 2 \end{cases}}$

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.

By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

$\large{ \begin{cases} y= 2x + 1\\ 3x - y = 2 \end{cases}}$

Then we substitute y = 2x+1 in the second equation.

$\large{3x - (2x + 1) = 2}$

Use the distribution property.

$\large{3x - 2x - 1 = 2}$

Isolate x-term to solve the equation.

$\large{x = 2 + 1} \\ \large{x = 3}$

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

$\large{2x - y = - 1} \\ \large{2(3) - y = - 1} \\ \large{6 - y = - 1}$