Use synthetic substitution to find f(3) and f(-4) for f(x)= x^4 - 8x- 11.

Mathematics

2 answers:

Montano1993 [528]3 years ago

7 0

Answer:

227

Step-by-step explanation:

AveGali [126]3 years ago

4 0

Answer:

f(3)=56, f(-4)=277

Step-by-step explanation:

f(x)=x^4-8x-11

f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56

f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277

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When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a face c

Radda [10]

There are 12 face cards and 4 aces to choose from. For the first card, the probability of drawing a face is $\dfrac{\binom{12}1}{\binom{52}1}=\dfrac{12}{52}$ . Then the probability of drawing an ace second is $\dfrac{\binom41}{\binom{51}1}=\dfrac4{51}$ .

So the probability of drawing these two particular cards in the given order is

$\dfrac{12}{52}\cdot\dfrac4{51}=\dfrac4{221}$

4 0

3 years ago

Try the numbers 22, 23, 24, 25 in the equation 4/3 = 32/d to test whether any of them is a solution. a. 23 is a solution. c. 24

S_A_V [24]

Answer:

c. 24 is a solution

Step-by-step explanation:

Given equation:

$\frac{4}{3}=\frac{32}{d}$

To test the numbers 22, 23, 24, 25 for the solution.

Solution:

In order to test the given number for the solution, we will plugin each number in the unknown variable $d$ and see if it satisfies the equation.