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alisha [4.7K]
3 years ago
10

Multiplying unit fractions by whole numbers 1/5x4

Mathematics
1 answer:
lukranit [14]3 years ago
3 0

Answer:

4/5

Step-by-step explanation:

1/5*4 (given)

1/5*4/1 (add the one to make it a fraction)

4/5 (multiply straight across)

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The function f(x) = x3 – 8x2 + x + 42 has zeros located at 7, –2, 3. Verify the zeros of f(x) and explain how you verified them.
xeze [42]

Answer:

  • zeros are {-2, 3, 7} as verified by graphing
  • end behavior: f(x) tends toward infinity with the same sign as x

Step-by-step explanation:

A graphing calculator makes finding or verifying the zeros of a polynomial function as simple as typing the function into the input box.

<h3>Zeros</h3>

The attachment shows the function zeros to be x ∈ {-2, 3, 7}, as required.

<h3>End behavior</h3>

The leading coefficient of this odd-degree polynomial is positive, so the value of f(x) tends toward infinity of the same sign as x when the magnitude of x tends toward infinity.

  • x → -∞; f(x) → -∞
  • x → ∞; f(x) → ∞

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<em>Additional comment</em>

The function is entered in the graphing calculator input box in "Horner form," which is also a convenient form for hand-evaluation of the function.

We know the x^2 coefficient is the opposite of the sum of the zeros:

  -(7 +(-2) +3) = -8 . . . . x^2 coefficient

And we know the constant is the opposite of the product of the zeros:

  -(7)(-2)(3) = 42 . . . . . constant

These checks lend further confidence that the zeros are those given.

(The constant is the opposite of the product of zeros only for odd-degree polynomials. For even-degree polynomials. the constant is the product of zeros.)

3 0
2 years ago
Given RT below, if S lies on RT such that the ratio of RS to ST is 3:1, find the coordinates of S.
Ksivusya [100]

Answer:

S(-2, -3)

Step-by-step explanation:

Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;

S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;

x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1

Substitute the values into the formula;

X = ax2+bx1/a+b

X = 3(-1)+1(-5)/3+1

X = -3-5/4

X = -8/4

X = -2

Similarly;

Y = ay2+by1/a+b

Y = 3(-5)+1(3)/3+1

Y = -15+3/4

Y = -12/4

Y = -3

Hence the coordinate of the point (X, Y) is (-2, -3)

5 0
3 years ago
Evaluate: 45 n=1(4n +9) = [?]
Alenkasestr [34]

Answer: 4545

Step-by-step explanation:

Split the summation into smaller summations that fit the summation rules.

7 0
3 years ago
How many roots does the equation -2x^3 = 0 have?<br> 3<br> 2<br> 1<br> 0
artcher [175]
3 sorry if it is wrong but have a good day
3 0
2 years ago
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Michelle is at the bakery buying donuts. She can buy 3 donuts for $2.25, 5 donuts for $3.25, or a dozen donuts for $7.68. Which
horsena [70]

Answer:

the dozen for 7.68 because it is 12 instead of 5 for 4.42 more and ur geting 7 more donuts

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