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Sergeeva-Olga [200]
3 years ago
15

Between what two numbers would 9 be located on the number line?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
4 0
Answer is A. Because it is located between 9 and 10
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Which function is a horizontal translation of the parent quadratic function
alexandr1967 [171]

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Thus

g(x) = (x - 4)² represents a horizontal translation to the right of f(x) by 4 units.

8 0
3 years ago
Find a polynomial equation that has zeros at x = −2, x = 0, x = 3 and x = 5
VashaNatasha [74]

If a polynomial "contains", in a multiplicative sense, a factor (x-x_0), then the polynomial has a zero at x=x_0.

So, you polynomial must contain at least the following:

(x-(-2)),\quad (x-0),\quad (x-3),\quad (x-5)

If you multiply them all, you get

x(x+2)(x-3)(x-5)=x^4 - 6 x^3 - x^2 + 30 x

Now, if you want the polynomial to be zero only and exactly at the four points you've given, you can choose every polynomial that is a multiple (numerically speaking) of this one. For example, you can multiply it by 2, 3, or -14.

If you want the polynomial to be zero at least at the four points you've given, you can multiply the given polynomial by every other function.

7 0
3 years ago
A bookstore contains 75972 books,divided in to three sections. The science represents 1/3 of the total books. The remaining book
S_A_V [24]

Answer:

12,662 books

Step-by-step explanation:

Total number of books = 75,972

No. of science books = ⅓ of 75,972 = ⅓*75,972 = 25,324 books.

No. of business books = 75% of the remaining books = 75% of (75,972 - 25,324)

= \frac{75}{100}*50,648 = 37,986

No. of business books = 37,986

No. of maths books in the math section = 75,972 - (25,324 + 37,986)

= 75,972 - 63,310

= 12,662 books

7 0
3 years ago
GIVING BRAINIEST IF CORRECT!!<br><br> Factor x^4 - 16 completely
ioda

Answer:

(x^2 + 4)(x + 2)(x - 2)

Step-by-step explanation:

Hello!

We can use the difference of square method.

<h2>Difference Of Squares (DOS)</h2>

The formula for the DOS is (a + b)(a - b) = a^2 - b^2

It is a simple way to factor polynomials.

The criteria:

  • Has to begin and end with a perfect square
  • The operation has to be subtraction

<h3>Factor:</h3>
  • x^4 - 16

Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)

  • (x^2 + 4)(x^2 - 4)

Warning! Watch out, there may be another DOS!

x^2 - 4 is another DOS

  • (x^2 + 4)(x + 2)(x - 2)

The x² + 4 is not a DOS because the operation is addition.

The final factored form is (x^2 + 4)(x + 2)(x - 2)

8 0
2 years ago
PLEASE HELP!!!! 25 POINTS!!!!
Andrei [34K]

Answer:

0.9562

Step-by-step explanation:

Binomial probability is mathematically expressed as:

P(X=x)={n\choose x}p^x(1-p)^{n-x}

Given that p=0.18, n=5 ,  is calculated as:

P(X\leq 2)=P(0)+P(1)+P(2)\\\\={5\choose 0}0.18^0(1-0.18)^5+{5\choose 1}0.18^1(1-0.18)^4+{5\choose 2}0.18^2(1-0.18)^3\\\\=0.3707+0.4069+0.1786\\\\=0.9562

Hence, the probability of no more than 2 successes in 5 trials is 0.9562

4 0
3 years ago
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