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inn [45]
3 years ago
8

Find the range of values of x for which the function defined by f(x)=

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

all values! x ∈ R

Step-by-step explanation:

The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!

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1/8 + c = 4/5 <br><br>what is c
ASHA 777 [7]

Answer:

27/40

Step-by-step explanation:

7 0
3 years ago
The parabola y=ax^2+bx-10 passes through the points (4.5,8) and (-2.5, 15). Determine the values of a and b
yuradex [85]
y=ax^2+bx-10 \\ \\&#10;(4.5,8) \\&#10;8=a \times 4.5^2 + b \times 4.5-10 \\&#10;8=20.25a+4.5b-10 \ \ \ |+10 \\&#10;18=20.25a+4.5b \\ \\&#10;(-2.5,15) \\&#10;15=a \times (-2.5)^2+b \times (-2.5)-10 \\&#10;15=6.25a-2.5b-10 \ \ \ |+10 \\&#10;25=6.25a-2.5b

The system of equations:
18=20.25a+4.5b \ \ \ |\times 5 \\&#10;25=6.25a-2.5b \ \ \ |\times 9 \\ \\&#10;90=101.25a+22.5b \\&#10;\underline{225=56.25a-22.5b} \\&#10;90+225=101.25a+56.25a \\&#10;315=157.5a \ \ \ |\div 157.5 \\&#10;a=2 \\ \\&#10;25=6.25a-2.5b \\&#10;25=6.25 \times 2-2.5b \\&#10;25=12.5 -2.5b \ \ \ |-12.5 \\&#10;12.5=-2.5b \ \ \ |\div (-2.5) \\&#10;b=-5 \\ \\&#10;\boxed{a=2} \\ \boxed{b=-5} \\ \boxed{y=2x^2-5x-10}
6 0
3 years ago
Brodrick correctly represents a composite number as the product of a pair of prime factors. Which equation could show Brodricks
olchik [2.2K]

Answer:

G-7×17=119

Step-by-step explanation:

A prime number is a number which has only two factors, 1 and itself.

A composite number on the other hand is any number that has more than two factors.

In the options

In F-5×15=75, 15 can still be decomposed into 5X3

In H-9×19=171, 9 can still be decomposed into 3X3

In J-11×21=231, 21 can still be written as 7X3.

So option G is the only equation which could show Brodricks work.

4 0
3 years ago
A boy and his younger sister are at the arcade but they only have enough money for one game of skee ball. If they get to play 9
Xelga [282]
Are there answer choices? If not, the older brother will get 5, and the younger sister will get 4.
5 0
3 years ago
0.21 divided by 0.0966
NARA [144]

Answer:

2.173913043478261

5 0
3 years ago
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