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3 years ago

Which direction does the graph of f(x) = (x − 3)(2x − 5) open?

2 answers:

7 0

If you FOIL this out you'll get a second degree polynomial which is always a parabola. If the leading coefficient is positive both tails go up. Ours is positive so it opens upwards. A "y = " polynomial opens up or down while an "x = " polynomial opens sideways (right or left).

Mamont248 [21]3 years ago

5 0

Up

X= 1,2,11/4,4,5
Y=6,1,-1/8,3,10

You might be interested in

What is the minimum value of F(x)= 10x^{2} -6x-3 3/10 or -39/10

kolezko [41]

Answer: 3/10

Step-by-step explanation:

Take the derivative of $10x^2-6x-3$ to get $20x-6$ . Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.

Now do:

$20x-6=0\\20x=6\\x=\frac{6}{20} = \frac{3}{10}$

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.

Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value

6 0

3 years ago

Im being timed! HURRYYYYYYYYY simplify:

Mamont248 [21]

Answer:

B. $p^2+p-11$ .

Step-by-step explanation:

Step 1:

$((((3+(4*(p^2)))-5p)-3p^2)+4p)+8$

Step 2:

$((((3 + 22p^2) - 5p) - 3p^2) + 4p) + 8$

Step 3:

Factoring $p^2-p+11$
The first term is, $p^2$ its coefficient is 1 .
The middle term is, -p its coefficient is -1 .
The last term, "the constant", is +11
Step-1 : Multiply the coefficient of the first term by the constant 1 • 11 = 11
Step-2 : Find two factors of 11 whose sum equals the coefficient of the middle term, which is -1 .
-11 + -1 = -12
-1 + -11 = -12
1 + 11 = 12
11 + 1 = 12
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final Solution:

$p^2 + p - 11$

5 0

2 years ago

The dot plot shows the ages of quiz show contestants. pg617069 Suppose a new data value, 30, is included in the dot plot. Which

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Simplify the expression. -5a 3b 8a

slega [8]

Here is u answer -5a4b8

8 0

4 years ago

105,159 rounded to the nearest ten thousand

IceJOKER [234]

If you look at the hundereds place you see it is under the number 5 which means you would drop 1, 5, & 9 and the answer would be 105,000. If the number was above 5 you would have had to make it 106,000.

7 0

3 years ago