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3 years ago

Which is a function? O

Mathematics

1 answer:

svetlana [45]3 years ago

7 0

Answer:

Diahheria ear wax blood clots and worm

Step-by-step explanation:

take out a diahheria stain and rub it on some ear wax and blood clot and worm

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5. f(x) = x ^ 3 + p * x ^ 2 + qx + 6 (a) Find the value of each constants p and q, given that (x - 1) is a factor of f(x) and wh

lara31 [8.8K]

Answer:

$\boxed{\textsf{ The value of p is \textbf{-2} and the value of q is \textbf{ -5}.}}$

Step-by-step explanation:

A polynomial is given to us and we need to find the value of the constants in the given equation . The given polynomial to us is :-

$\sf\implies f(x)= x^3+px^2+qx + 6$

It's mentioned that (x - 1) is a factor of f(x) . This means on putting x = 1 in the given polynomial the value of the polynomial becomes 0 .

Puttting x = 1 in f(x) :-

$\sf\implies f(x)= x^3+px^2+qx + 6 \\\\\sf\implies f(1) = 1^3 + p(1)^2+q(1) + 6 = 0 \\\\\sf\implies f(1)= 1+p + q + 6 = 0 \\\\\sf\implies \boxed{ \red{\sf p + q = -7 }}$

$\rule{200}2$

Now secondly it's given that on dividing the given polynomial by (x + 1) , the remainder is 8 . This means that on putting x = -1 the value of the given polynomial becomes 8 .

Puttting x = (-1) :-

$\sf\implies f(x)= x^3+px^2+qx + 6 \\\\\sf\implies f(-1) = (-1)^3 + p(-1)^2+q(-1)+6 = 8 \\\\\sf\implies f(-1)= -1+p -q + 6 = 8 \\\\\sf\implies p - q = 8 -6 +1 \\\\\sf\implies \boxed{ \red{\sf p - q = 3 }}$

$\rule{200}2$

Adding the above two equations :-

$\sf\implies p + q + p - q = -7 + 3 \\\\\sf\implies 2p = -4 \\\\\sf\implies p =\dfrac{-4}{2}\\\\\sf\implies \boxed{\pink{\frak{ p = (-2) }}}$

$\rule{200}2$

Put this value of p in equation (i) .

$\sf\implies p + q = -7 \\\\\sf\implies -2 + q = -7 \\\\\sf\implies q = -7+2 \\\\\sf\implies \boxed{\pink{\frak{ q = (-5) }}}$

4 0

3 years ago

Tim uses a food delivery service to order dinner for himself and a friend. He paid $37.05 for dinner, which included the cost of

NeX [460]

Answer:

32.50

Step-by-step explanation:

I took the test

5 0

2 years ago

Write a story that matches the expression -7h - 10

OLEGan [10]

Wants to find how much money he will spend for a number of ride tickets, h, he purchases
he gets into an amusement park by paying a fee of 10 dollars
each ride is 7 dollars

so his looss is -7h-10

8 0

4 years ago

How much times dose 9 go into 125???

lesya692 [45]

$125:9=\frac{125}{9}=\frac{90+36-1}{9}=\frac{90}{9}+\frac{36}{9}-\frac{1}{9}=10+4-\frac{1}{9}=14-\frac{1}{9}\\\\=13\frac{8}{9}\approx14\\\\Answer:\ 9\ go\ into\ 125:\ 13\frac{8}{9}\ times,\ approximate\ to\ 14$

7 0

3 years ago

AB is parallel to CD. EG = FG ˆ AEG = 110° ˆ Calculate the size of DGH.

Sever21 [200]

Opposite exterior angles are congruent.

DGH = AEG

DGH = 110

3 0

3 years ago