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
nikdorinn [45]
2 years ago
9

Solve (x² - 16)(x² - 9) = 0

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0

Answer:

x=-4,4,-3,3

Step-by-step explanation:

<u>Factor</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>difference</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>squares</u>

{x}^{2}  -  {y}^{2}  = (x + y)(x - y)

{x}^{2}  - 16 = (x + 4)(x - 4) \\  {x}^{2}  - 9 = (x + 3)( x - 3)

(x + 4)(x - 4)(x + 3)(x - 3) = 0

Therefore, our answer is x = -4,4,-3,3

You might be interested in
Find the slope write into slope intercept form (19,-16),(-7,-15)
lesya [120]
The slope is 1/-26 so y+16=1/-26(x-19)
3 0
3 years ago
Read 2 more answers
Plsss help i really need help
Zepler [3.9K]
For the ratio hearts to clubs it’s 5:4
For the ratio clubs to hearts it’s 4:5
For the ratio hearts to total is 5:9 I hope this helps :)
8 0
3 years ago
Read 2 more answers
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2. ​
insens350 [35]

Answer:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

Step-by-step explanation:

Given

p(x) = \frac{x^2-2x-3}{x+2} -- Missing from the question

Required

The behavior of the function around its vertical asymptote at x = -2

p(x) = \frac{x^2-2x-3}{x+2}

Expand the numerator

p(x) = \frac{x^2 + x -3x - 3}{x+2}

Factorize

p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}

Factor out x + 1

p(x) = \frac{(x -3)(x + 1)}{x+2}

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

----------------------------------------------------------------------------------------------------------

As x approaches -2 implies that:

x -> -2^{-} Say x = -3

p(x) = \frac{(x -3)(x + 1)}{x+2}

p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

x->-2^{-}, p(x)->-\infty

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: x>-2

Say x = -2.1

p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

x->-2^{+}, p(x)->-\infty

So, the behavior is:

x->-2^{-}, p(x)->-\infty and as x->-2^{+}, p(x)->-\infty

6 0
3 years ago
Solve the inequality for x. Show each step of the solution.10x &gt; 2(8x – 3) – 18
Luden [163]

Answer: x<4

Given the inequality:

10x>2(8x-3)-18

We want to solve the inequality for x.

First, distribute the bracket on the right side of the inequality.

\begin{gathered} 10x>2(8x)-2(3)-18 \\ 10x>16x-6-18 \\ 10x>16x-24 \end{gathered}

Next, subtract 10x from both sides of the inequality.

\begin{gathered} 10x-10x>16x-10x-24 \\ 0>6x-24 \end{gathered}

Add 24 to both sides of the inequality.

\begin{gathered} 0+24>6x-24+24 \\ 24>6x \end{gathered}

Divide both sides of the inequality by 6.

\begin{gathered} \frac{24}{6}>\frac{6x}{6} \\ 4>x \\ \implies x

The solution to the inequality is x<4.

6 0
1 year ago
Please hurry! How is the area of a rectangle related to the area of a triangle?
cricket20 [7]
The area of a rectangle is Base x height whereas the area of a triangle is Base x height divided by 2
5 0
3 years ago
Other questions:
  • A necklace is being made with beads that are 1.25 centimeters in diameter each. The necklace is 30 centimeters long. How many be
    11·1 answer
  • I need help.....Which values are possible lengths for segments AC and CD, respectively?
    11·2 answers
  • three cards are drawn all at once from a standard deck of 52 playing cards. What is the probability of selecting exactly two ace
    11·1 answer
  • In preparation for a 3-day charity walk, Courtney is taking daily walks. To get an idea of how long the charity walk will take,
    13·1 answer
  • A geometric sequence has a first term of x-y and a common ratio of x+y. what if the third term of the sequence?
    12·1 answer
  • Find the angle between the hands of a clock at 5:15. <br> a. 60<br> b. 67.5<br> c. 75
    11·2 answers
  • Which is the least valid way to stimulate how many boys and girls are in a random sample of 20 students from a school that is ha
    5·2 answers
  • Find the least common denominator for these<br> two rational expressions,
    6·2 answers
  • PLEASE HELP <br><br> WILL GIVE BRAINLIEST<br> AND 5.0 RATING
    12·2 answers
  • Find the measures of the interior angles of the triangle.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!