SAT Middle School

The equation 24x2+25x−47ax−2=−8x−3−53ax−2 is true for all values of x≠2a, where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Answers

Answer 1

Answer:

Option B is correct

Explanation:

Value of a is -3

Given the equation:   [tex]\frac{24x^2+25x-47}{ax-2} =-8x-3-\frac{53}{ax-2}[/tex] is true for all [tex]x\neq 2a[/tex]

To find the value of a.

Multiply both sides of the given equation by [tex](ax-2)[/tex], we have;

 [tex]24x^2+25x-47=(-8x-3)(ax-2)-53[/tex]

Using FOIL Method to multiply two binomials i.e (-8x-3)(ax-2)

[tex]24x^2+25x-47=-8ax^2+16x-3ax+6-53[/tex]

or

[tex]24x^2+25x-47=-8ax^2+x(16-3a)-47[/tex]

Since the coefficients of the [tex]x^2[/tex] term have to be equal on both sides of the equation. we have;

-8a = 24

Divide both sides by -8 we get;

a = -3

Therefore, the value of a is, -3

Related Questions

Based on calculations, students should have 10.4 grams of powder after conducting an experiment. The students get these results: 10.2 grams, 10.4 grams, 10.3 grams, 10.4 grams, and 10.5 grams. Which words best describe this data? Check all that apply.
A- accurate
B- falsified
C-invalid
D-precise
E-redundant

Answers

Answer:

(A) (D) Acurate and Precise

Explanation:

I would say this because not only was all the results acurate and very close to what they should have gotten, whenever it was not it then it was very close as I stated. As showing that even if they are wrong they have precision by getting a close answer every time. And they are acurate by getting accurst results every time.

Answer:

WUTtTTExplanation:

Earth takes in thermal energy from the Sun in a process called . Sunlight strikes Earth’s surface at different angles. This angle is called the angle of .


BTW ITS SCIENCE...................

Answers

Earth takes in thermal energy from the Sun in a process called  thermal radiation.  The angle between the direction of the energy and the surface it is striking is called the angle of incidence.

What term refers to the initial training given to all new employees?

Answers

new employee orientation

The correct answer to this open question is the following.

The term that refers to the initial training given to all new employees is "employee orientation."

When an employee is recently hired, one of the first things he/she is going to receive is employee orientation, which includes the basic background of the company, its purpose, its mission, vision, and philosophy. The employee is going to get the proper training to do its job and it is going to be introduced to other workers who are going to have work relationships and other departments that are related to ist activities.

Tissues that carry food water and nutrients throughout the plant

Answers

vascular plants. plants that have TUBELIKE STRUCTURES that carry water, nutrients, and other substances throughout the plant have xylem and phloem true roots stems and leaves.

aside form a students ID, what is another card a collage student use to obtain discounts

Answers

Student Advantage card

A student Advantage card
Hope this helps :)

analyze the forces acting on a cyclist who is slowing down as he or she climbs a hill

Answers

Friction is created between the tire and road or grass. When she goes up the hill she is gaining potential energy, going down losing potential and gaining kinetic. I'm not sure if this will exactly answer your question, but hope this helps.

As per the forces acting on the cyclist the one who is slowing down is gravity. As she climbs up the hill the force of gravity is pulling the cyclist down.

The friction can be seen created between the road and grass. As she goes up the hill she gains potential energy. While she is going down she loses some energy. As she is changing speed and direction the forces are not balanced.

Learn more about the cyclist who is slowing down.

brainly.com/question/18773892.

What is one reason students take SAT subject tests

Answers

SAT subject tests are taken to demonstrate their strengths to colleges.

Compare the advantages and disadvantages of using cash instead of a credit card to obtain good services

Answers

Answer:

The advantage of using cash instead of a credit card to obtain goods and services is that the buyer pays no extra fees or interest. The disadvantage of using a credit card is that the buyer pays fees and interest on the purchase, making it more expensive over time.

Explanation:

An advantage of using cash over credit card is that you do not have to pay interest. A disadvantage of using cash over credit card is that you are not able to build your credit.

What are the advantages and disadvantages of using cash over credit cards?

Credit cards are a form of unsecured debt. The use of credit cards incur interest rate when it  is used. On the other hand, cash can be defined as a form of asset. When cash is used for payment, they do not have to pay interest on the use of their cash.

To learn more about credit cards, please check: https://brainly.com/question/27350251

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