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Inessa05 [86]
3 years ago
12

I really need someone to help me out

Mathematics
1 answer:
elixir [45]3 years ago
3 0

All it takes for a relation to be a function is for each possible first number of a pair there's only one possible second number.


So if any of the sets has two pairs with the same first number, that one's not a function.


The last one has (3,2) and (3,5) so isn't a function.



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Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
As school prefect, write a letter to your District or municipal or metropolitan executive requesting the maintenance of the buil
serious [3.7K]

Answer:

jsjsid sjdic8fnw jv 8djw efjiw eifwjiffjw djfivieo UK

6 0
2 years ago
( Will give Brainlies) Please Helpp
mario62 [17]

Answer:

15 or below

Step-by-step explanation:

10+10+8+8 = 36

51-36 = 15

Less than or equal to = 15 or below

4 0
3 years ago
Factor completely.
antiseptic1488 [7]

Answer:

B

Step-by-step explanation:

Given

y² - 12y + 32

Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)

The factors are - 4 and - 8, since

- 4 × - 8 = 32 and - 4 - 8 = - 12, thus

y² - 12y + 32 = (y - 4)(y - 8) → B

6 0
3 years ago
Read 2 more answers
I need help with these two problems. [9 and 10] FORMULAS GIVEN!!
zaharov [31]
<h2>Question 9:</h2>

1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

2. Use formula: 1/2(h)(b1+b2). 1/2 (12) (30+14).

3. Simplify: 1/2 (12) (44)=1/2(528)=264

Area of whole figure is 264 square mm.

<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

3. Use Pythagorean Theorem to find out last leg of triangle: 10.4²+x²=12²

4: Simplify: 108.16 +x²=144. x²=35.84 ≈ 6

5: Use formula: 1/2(h)(b1+b2). 1/2 (10.4) (30+36)

6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

4 0
3 years ago
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