1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zalisa [80]
3 years ago
12

Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero.

Mathematics
2 answers:
dusya [7]3 years ago
6 0

Answer:


If:

a=x^{2}+4    (1)


And we have to rewrite the following expresion in terms of a:


{(x^{2}+4)}^{2}+32=12x^{2}+48   (2)


Firstly we have to rearrange the right side of equation (2) in terms of  x^{2}+4, factorizing by the common factor:


{(x^{2}+4)}^{2}+32=12(x^{2}+4)


Then, we can substitute x^{2}+4 by a:


a^{2}+32=12a


And set it equal to zero:

a^{2}-12a+32=0>>>>This is the resulting equation


Now, each term of an algebraic expresion (like the equation above) is composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).



In this case, the variable is a and the number that multiplies the variable (the coefficient) is -12, whereas the constant (which is the term with no variable) is 32





Firlakuza [10]3 years ago
3 0
Coefficient: -12
Constant:32
You might be interested in
The radius of a circle is 18 meters. What is the circle's area?
ankoles [38]

Answer:

200.96 sq. meters.

Step-by-step explanation:

The formula for the area of a circle is \pi r^(2). To solve for the area, use the given values, pi is 3.14 and the radius is 18. This gives you the new equation of (3.14)(18)^2. Solve algebraically, first raising the radius to the power of 2, and then multiplying.

5 0
2 years ago
B/c =a what is c ????????????
timama [110]
If you only want to know what it means ¨c¨ then it is the Denominator, cause you are referring a fraction.
6 0
2 years ago
Tuition for one year at the community college Sean would like to attend is about $8,880. Sean plans to save money each month for
REY [17]

First make an equation then solve for the variable.

8,800 is the end goal so that is what it is going to equal

Since his parents are contribuating 6,000 we can add that as a constant

Now it says in 2 years but it askes us in months so we times 2 by 12 to get 24 months he will be saving.

Now it is asking us how much he should save per month be we don't know that so that is our variable.

8,800 = 24x + 6,000

Solve

8,800 - 6,000 = 24x

2800/24 = x

116.67 = x (rounded for currency)

Sean would have to save $116.67 a month in order to pay for the community college

4 0
2 years ago
Read 2 more answers
Classify the model as Exponential GROWTH or DECAY.<br> A=1200(.85)6
BartSMP [9]

Answer: DECAY

Step-by-step explanation:

(.85) is less than 1

3 0
3 years ago
2x/x-3 - 6/x-3 . I need a step by step explanation , please
Harman [31]
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3.  So in general:

a/c-b/c=(a-b)/c so you just have:

(2x-6)/(x-3)  now if you factor 2 from the numerator

2(x-3)/(x-3)  the (x-3)s cancel out leaving

2

However!  Note that division by zero is undefined, so x cannot equal 3.  (because both original fractions had denominators of x-3)

What this all means is that that expression will equal 2 for all real values of x other than 3.
8 0
2 years ago
Other questions:
  • Which number below has a 3 that is 1/100 of the value of the 3 in the number 1,376
    6·1 answer
  • in week 1, the total sales for a video game were 2,374,136. What percent of the total sales were from the us? round to the neare
    6·1 answer
  • A 120 Lb person would weigh 20 Lb on the earth's moon. A 150 Lb person would weigh 28 Lb on a moon of jupiter.
    15·1 answer
  • Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: (a
    9·1 answer
  • Ken drew a pair of intersecting rays and marked the angle between them.
    15·2 answers
  • Evaluate the following expression when x = 3 and y = 4:
    8·1 answer
  • BRAINLIEST ASAP! PLEASE HELP ME :)
    10·1 answer
  • Am confused plz help
    14·1 answer
  • Find the value of c, round to the nearest tenth<br><br> 7, 11, c
    5·1 answer
  • I need help ASAP Fernando bikes for 3.5 hours and covers a distance of 25.2 miles. Rebecca bikes for 4.5 hours and covers a dist
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!