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fiasKO [112]
2 years ago
5

If the function f (2) 3x2 + bx + 2 has no real roots, which of the following could be the value of b? -7, -1, 8, 0

Mathematics
1 answer:
lina2011 [118]2 years ago
3 0

Answer:

b could be -1 or 0

Step-by-step explanation:

f(x) = 3x^2 +bx+2

if it has no real roots, the discriminant must be less than zero

b^2 -4ac <0

a=3  b=b  c=2

b^2 - 4(3)(2) <0

b^2 - 24 <0

b^2 < 24

Taking the square root of each side

b< 2 sqrt(6)  and b > 2 sqrt(6)

b could be -1 or 0

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OLga [1]

Answer:

d 64

Step-by-step explanation:

f(-3)=1/2 ^-6=2^6=64

5 0
3 years ago
suppose f(x)=3x+5. describe how the graph of each function compares to f. 1) g(x)=f(x)+12 2) h(x)=f(x)-7 3) g(x)=f(x=8) 4) h(x)=
Lubov Fominskaja [6]

1)

g(x) = f(x)+12 represents translating f(x) 12 units up to get g(x). This is because y = f(x), so we're effectively adding 12 to each y coordinate of the points on f(x) to have them move to the points on g(x).

note: the term "translating" is another way of saying "shifting" or "sliding".

===================================================

2)

h(x) = f(x)-7 means translating f(x) 7 units down to get h(x). We use the same reasoning as in problem 1. The general form is h(x) = f(x)+k, and in this case, k = -7. The negative k value tells us to shift down.

===================================================

3)

g(x) = f(x+8) means we translate 8 units to the left. The general template is g(x) = f(x-h). If h > 0, then we shift right. If h < 0, then we shift left. The amount that is shifted is equal to the absolute value of h.

===================================================

4)

h(x) = f(x-14) tells us to shift f(x) 14 units to the right. Same idea as problem 3, but now h = 14.

===================================================

5)

g(x) = 4*f(x) means we vertically stretch f(x) by a factor of 4. Since y = f(x), we are effectively doing g(x) = 4*f(x) = 4*y, which pulls the y coordinates upward by a factor of 4. A point like (1,2) will jump to (1,8) after multiplying the y coordinate by 4.

===================================================

6)

g(x) = f(5x) tells us to horizontally compress f(x) by a factor of 5. The general template is g(x) = f(a*x) where the 'a' determines horizontal stretching or compression. If 0 \le a \le 1, then we have horizontal stretching going on. If a > 1, then we'll have horizontal compression.

6 0
3 years ago
sue stacked one box onto another. the bottom had the height of 2 1/3 feet and the top box had the height of 3 2/3 feet. how tall
Scilla [17]
Height of bottom box : - 2  \frac{1}{3} => 7/3
Height of top box : - 3  \frac{2}{3} => 11/3

Thus, height of two boxes =

\frac{7}{3} +   \frac{11}{3} =  \frac{18}{3} => 6ft

Happy to help chodini!
3 0
3 years ago
Read 2 more answers
Given the following scores on a 30-point quiz, what is the frequency of a score of 27?
kiruha [24]

Answer:

2

Step-by-step explanation:

The frequency is how many times the score shows up in the data set

21,<u> 27</u>, 20, 29, 23, 21, 21, <u>27</u>, 26, 25

27 shows up 2 times so the frequency is 2

7 0
3 years ago
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A central angle, thata, of a circle with radius 16 inches intercepts an arc of 19.36 inches. Find thata.
kaheart [24]
Theta*
\theta=\frac{19.36}{16}=1.21 radians.
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3 years ago
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