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
Ugo [173]
3 years ago
13

Let a= x^2 +4. Rewrite the following equation in terms of a and set it equal to zero. (x^2+4)^2+32=12x^2+48 what are the solutio

ns for x
Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
Just replace x^2+4 with a
factor out on left side
(x^2+4)^2+32=12(x^2+4)
replace x^2+4 with a
a^2+32=12a
minus 12a both sides
a^2-12a+32=0
solve
factor
what 2 numbers mulitply to get 32 and add to get -12
-4 and -8
(a-4)(a-8)=0

set each to zero
a-4=0
a=4

a-8=0
a=8


remember
a=x^2+4
so

4=x^2+4
0=x^2
0=x

8=x^2+4
4=x^2
+/-2=x


x=-2, 0, 2
You might be interested in
A walk-in medical clinic believes that arrivals are uniformly distributed over weekdays (Monday through Friday). It has collecte
allsm [11]

Answer:

The degrees of freedom are given by;

df =n-1= 5-1=4

The significance level is 0.1 so then the critical value would be given by:

F_{cric}= 7.779

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

Step-by-step explanation:

For this case we have the following observed values:

Mon 25 Tue 22 Wed 19 Thu 18 Fri 16 Total 100

For this case the expected values for each day are assumed:

E_i = \frac{100}{5}= 20

The statsitic would be given by:

\chi^2 = \sum_{i=1}^n \frac{(O_i-E_i)^2}{E_i}

Where O represent the observed values and E the expected values

The degrees of freedom are given by;

df =n-1= 5-1=4

The significance level is 0.1 so then the critical value would be given by:

F_{cric}= 7.779

If the calculated value is higher than this value we can reject the null hypothesis that the arrivals are uniformly distributed over weekdays

5 0
3 years ago
The Pythagorean theorem is a formula used in solving for missing side lengths of a(n) ______ triangle.
sweet-ann [11.9K]
The correct answer would be a Right triangle
6 0
3 years ago
Read 2 more answers
A square has a perimeter of 36 ft. What is the length of each side?
Yanka [14]
9 ft is the answer because a square has four sides, so 36 divided by 4 is 9
3 0
3 years ago
Help me 7th grade math please
Stolb23 [73]

Answer: 13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

The 29.2 ounce bottle is better

Step-by-step explanation:

13.5 ounce bottle for $2.19

a 29.2 ounce bottle for $5.37

find the ratios

13.5/2.19 = $6.16 per unit

29.2/5.37 = $5.44 per unit

3 0
2 years ago
Use point-slope form to write the equation of a line that passes through the point
Ymorist [56]

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

5 0
2 years ago
Other questions:
  • A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl
    14·1 answer
  • Question 12 of 20 :
    15·1 answer
  • Fill in the blanks
    13·2 answers
  • What is the square root of pi?
    14·2 answers
  • Use technology to construct an appropriate model of the data. (0,1), (1,-2), (2,-3), (3,-2), (4,1) f(x) = – x2 + 4 f(x) = x2 - 4
    7·2 answers
  • I need help on this one
    12·1 answer
  • Please help if you can
    9·1 answer
  • 2x-1/3x+1=6x-1/9x-3​
    15·1 answer
  • HELLPP PLEASE OMGG I WILL GIVE YOU ALL MY POINTSS​
    14·2 answers
  • Please help me please help me please help me please help me
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!