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3 years ago

Solve for x under the assumption that x > 0. Enter your answer in interval notation using grouping symbols.

1 answer:

3 0

<span>Starting with x−24/x<10 multiply everything by x. x^2-24<10x Subtract 10x from both sides. x^2-10x-24 < 0 Factor. (x-12)(x+2) < 0 (x+2) is always positive since x > 0, but (x-12) is negative when x is a value between 0 and 12. This negative value for (x-12) satisfies that the left side is less than 0. Thus the solution set for x is (0,12).</span>

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5 divided by 2/5<br> 5 divided by 2/5

Makovka662 [10]

Answer:

Hey there!

5 divided by 2/5 is equal to 25/2, or 12.5

Hope this helps :)

4 0

3 years ago

Read 2 more answers

If AD = 6x – 4 and AC = 4x – 3, find CD.

murzikaleks [220]

Answer:

Since C is the mid point,

therefore, (6x - 4)/2 = 4x-3

=> 6x - 4 = 2X(4x-3) = 8x - 6

=> 6x - 8x = -6 + 4

=> -2x = -2

=> x = (-2)/(-2) = 1

Hence, CD = AC = 4x - 3 = 4X1 - 3 = 1

Step-by-step explanation:

8 0

3 years ago

Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together th

xenn [34]

Answer:

$20

Step-by-step explanation:

Look at the picture attached below.

Hope this helps :)

Have a great day!

3 0

2 years ago

the table and grab both represent the same relationship. Which equation also represents the relationship?

Alekssandra [29.7K]

Answer:

Fourth option y = x²

Step-by-step explanation:

It is clear from the graph that parabola passes through origin, which is it's vertex and line of symmetry is y-axis.

So the equation of the parabola will be y = (x - 0)² + 0

This equation of the parabola is in the vertex form [ y = (x - h)² + k]

Therefore, equation of the parabola will be y = x²

This equation is true for the given values of x and y in the table.

For (-2, 4) ⇒ 4 = (-2)²

For (-1, 1) ⇒ 1 = (-1)²

Fourth option y = x² is the answer.

7 0

3 years ago

Read 2 more answers

{ Look at the first image. }

Pepsi [2]

Answer:

Question 1. Correct choice A

Question 2 Correct choice A

Step-by-step explanation:

To answer the first question, let's do the following operation, subtract the salary for n years of education with the salary for n-1 years of education:

$(125.66x_{2}-846.3) - (125.66x_{1}-846.3)\\$

Where:

$x_{2}$ represents n years of education

$x_{1}$ represents n-1 years of education.

Then, solving:

$(125.66x_{2}-846.3) - (125.66x_{1}-846.3) = 125.66x_{2}-846.3-125.66x_{1} + 846$ .

$= 125.66x_{2}-125.66x_{1}\\$

$= 125.66 (x_{2}-x_{1})$ Since $x_{2}$ is always a unit greater than $x_{1}$ , its subtraction is always equal to 1.

$= 125.66(1)\\ = 125.66$

This result shows that the increase for an additional year of education is always equal to the value of the slope of the line, that is, $ 125.66. Therefore the correct option for this question is "A".

In cuano to the second question:

The intersection of the line with the y-axis occurs when the value of x is equal to zero, or in this case, when the years in the collage are 0.

This means that when there are no years of education in the collage, the salary is expected to be equal to the value of the intersection of the line with the axis y, that is, equal to 24,600 thousand dollars.

Then the correct option is A.

5 0

3 years ago