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amid [387]
2 years ago
15

What is the value of b ?

Mathematics
1 answer:
HACTEHA [7]2 years ago
6 0

Two polynomials are equal if the coefficients are equal.

x^3+(3+b)x^2+(3b-2)x-6\\\downarrow\qquad\ \ \downarrow\qquad\qquad\ \ \ \ \downarrow\\x^3\ +\ \ 6x^2\ \ \ \ +\ \ \ \ \ 7x\ \ -\ 6\\\\x^3\to1=1\\x^2\to3+b=6\\x\to3b-2=7\\constans\to-6=-6\\\\3+b=6\ \wedge\ 3b-2=7\\\\3+b=6\ \ \ |-3\\b=3\\\\3b-2=\ \ \ \ |+2\\3b=9\ \ \ \ |:3\\b=3\\\\Answer:\ \boxed{b=3}\to\boxed{B.}

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12, 17, 22... find the 35th term
Leno4ka [110]

Answer:

a₃₅ = 182

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 12 = 22 - 17 = 5

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 , then

a₃₅ = 12 + (34 × 5) = 12 + 170 = 182

3 0
3 years ago
PLZ HELP ME! 100 points for person who answers quickly!
Advocard [28]

(-1.15)x3.2=

-3.68

Alright so I got -3.68 by multiplying -1.15x3.2. We get a negative number since the first number is negative.

3 0
2 years ago
What the vaule of x in the equation 3x-4y=65, when y =4
lana [24]

Answer: x=27


Step-by-step explanation:

3x-4(4)=65

3x-16=65

3x=65+16

3x=81

3x/3=81/3

X=27



7 0
3 years ago
What is the domain of the function?<br> x + 3<br> f(x) =<br> VX + 3
ahrayia [7]

Your question is a little ambiguous, but I am assuming that you meant to say the function f(x) = x+3

Thus, I am solving your question based on assuming the function such as

f(x)=x+3

But, it would still clear your concept, no matter what the function is.

Answer:

we conclude that

\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The graph is also attached.

Step-by-step explanation:

Given the function

f(x)=x+3

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the function has no undefined points nor domain constraints.

Thus, the domain is

-\infty \:

Therefore, we conclude that

\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The graph is also attached.

3 0
2 years ago
ASAP PLZZZ I NEED HELP
son4ous [18]

Answer:

994.5

Step-by-step explanation:

First, you need to figure out how many people are actually attending the event. It says that there are 50% more so we are going to have to add 56% of 150 to 150.

150 x 0.56 = 84

150 + 84 = 234

Now, we have to multiply this by 4.25, because this is the cost of the food per person.

234 x 4.25 = 994.5

3 0
3 years ago
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