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
Veseljchak [2.6K]
3 years ago
15

A. B. C. D. ????????????

Mathematics
1 answer:
qaws [65]3 years ago
4 0

n^{16} and 9 are the squares of, respectively, n^8 and 3.

So, using

a^2-b^2=(a+b)(a-b)

we have

n^{16}-9=(n^8+3)(n^8-3)

You might be interested in
What is the difference between the product of four and a number and 6
Anuta_ua [19.1K]
4x-6

A product means you have to multiply so the product of four and a number is 4 times x so 4x
A difference means you have to substraction a number from another number. So -6
3 0
3 years ago
Read 2 more answers
the change in water vapor in a cloud is modeled by a polynomial function, c (x). describe how to find the x - intercepts of c (x
lukranit [14]

The change in the water vapors is modeled by the polynomial function c(x). In order to find the x-intercepts of a polynomial we set it equal to zero and solve for the values of x. The resulting values of x are the x-intercepts of the polynomial.

Once we have the x-intercepts we know the points where the graph crosses the x-axes. From the degree of the polynomial we can visualize the end behavior of the graph and using the values of maxima and minima a rough sketch can be plotted.

Let the polynomial function be c(x) = x ² -7x + 10

To find the x-intercepts we set the polynomial equal to zero and solve for x as shown below:

x ² -7x + 10 = 0

Factorizing the middle term, we get:

x ² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) =0

(x - 2)(x - 5)=0

x - 2 = 0 ⇒ x=2

x - 5 = 0 ⇒ x=5

Thus the x-intercept of our polynomial are 2 and 5. Since the polynomial is of degree 2 and has positive leading coefficient, its shape will be a parabola opening in upward direction. The graph will have a minimum point but no maximum if the domain is not specified. The minimum points occurs at the midpoint of the two x-intercepts. So the minimum point will occur at x=3.5. Using x=3.5 the value of the minimum point can be found. Using all this data a rough sketch of the polynomial can be constructed. The figure attached below shows the graph of our polynomial.

8 0
3 years ago
Read 2 more answers
In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
allochka39001 [22]

General Idea:

The Rules for Transformations of Functions are given below:

If f(x) is the original function, a > 0 and c > 0; Then

f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0

f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a}  .\\\\f(ax), \; 0

Applying the concept:

In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:

C.it stretches the graph vertically by a factor of 5

4 0
3 years ago
Read 2 more answers
Vertex Z of trapezoid WXYZ has coordinates (−9, 9).
Taya2010 [7]
The coordinates would surely be -9,15

3 0
3 years ago
What is an equation of the line that passes through the points (-3, 3)
Georgia [21]

Answer:

y=\frac{1}{3}x +4

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The equation yˆ=24.387x + 328.182 models Math SAT scores, y, where x is the number of hours spent studying.
    10·1 answer
  • Peyton already has 15 dollars. Every hour (x) that she works at the corner store, she earns another 3 dollars (y). How many tota
    5·2 answers
  • Several students were surveyed about their favorite class. The results are art 26, English 19, math 21 music 16 and science 32.
    14·2 answers
  • What is the answer to 978 -(6x8) + 99 =
    11·2 answers
  • Solve <br><br> 7x + 4 = 5x + 8 + 2x - 10
    6·2 answers
  • (1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of
    9·1 answer
  • Select the two figures that are similar to each other.
    12·2 answers
  • O Horizontal translation of 11 units
    10·1 answer
  • Which number line shows the solution to 1/4 x + 1 &lt; 5
    6·2 answers
  • WILL MARK FOR BRAINLIEST
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!