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alukav5142 [94]
2 years ago
12

What is the value of f(1) when f(x)=3x^3-2x^2-3x+18

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
4 0

Answer:

f(1) = 16

Step-by-step explanation:

f(1) = 3(1)^{2} -2(1)^{2} -3(1)+18

f(1) = 3-2-3+18

f(1) = 16

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Which of the following sets of numbers could be the side lengths of a right triangle?
disa [49]

Answer:

9, 40, and 42

Step-by-step explanation:

4 0
2 years ago
Find The Five<br> Rational number<br> Between<br>-3/2 and 5/3​
Umnica [9.8K]

here is your answer

1.61 , 1.6245, 1.512, 1.432, 1.32456

Step-by-step explanation:

covert fraction to decimal we get,

-3/2 = -1.5 and 5/3 = 1.70

and any number that lies between these two numbers which is terminating and non repeating or non terminating repeating.. that are the numbers that you need.

3 0
3 years ago
Determine the rational zeros for the function f(x)=x^3+7x^2+7x-15
alexandr402 [8]

Answer:

1,-3,-5

Step-by-step explanation:

Given:

f(x)=x^3+7x^2+7x-15

Finding all the possible rational zeros of f(x)

p= ±1,±3,±5,±15 (factors of coefficient of last term)

q=±1(factors of coefficient of leading term)

p/q=±1,±3,±5,±15

Now finding the rational zeros using rational root theorem

f(p/q)

f(1)=1+7+7-15

   =0

f(-1)= -1 +7-7-15

     = -16

f(3)=27+7(9)+21-15

    =96

f(-3)= (-3)^3+7(-3)^2+7(-3)-15

     = 0

f(5)=5^3+7(5)^2+7(5)-15

    =320

f(-5)=(-5)^3+7(-5)^2+7(-5)-15

      =0    

f(15)=(15)^3+7(15)^2+7(15)-15

     =5040

f(-15)=(-15)^3+7(-15)^2+7(-15)-15

      =-1920

Hence the rational roots are 1,-3,-5 !

4 0
3 years ago
Read 2 more answers
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Licemer1 [7]

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

7 0
2 years ago
Read 2 more answers
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1. (2 points)
umka2103 [35]

Focus of the parabola is (-5,5) and directrix is y = -1.

Let's assume a point (x,y) on parabola.

According to definition of parabola, the distance between point (x,y) and focus (-5,5) would be same as the distance between the point (x,y) and directrix y = -1.

\sqrt{(x+5)^2+(y-5)^2} = \sqrt{(y+1)^2} \\\\(x+5)^2+(y-5)^2=(y+1)^2 \\\\(x+5)^2 + y^2 - 10y +25 = y^2 +2y +1 \\\\(x+5)^2 =  -y^2 +10y -25 + y^2 +2y +1 \\\\(x+5)^2 = 12y -24 \\\\12y =  (x+5)^2  +24 \\\\ y = \frac{1}{12} (x+5)^2  +2

Hence, option D is correct, i.e. f(x) = one twelfth (x + 5)2 + 2.

7 0
2 years ago
Read 2 more answers
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