Answer:
Option C is correct i.e. 2.
Step-by-step explanation:
Given the function is f(x) = x² +8x -2.
We can compare it with general quadratic expression i.e. ax² +bx +c.
Then a = 1, b = 8, c = -2.
We can find the number of real root by finding discriminant of the equation ax² +bx +c =0 as follows:-
D = b² -4ac
D = 8² -4*1*-2
D = 64 +8
D = 72.
When D is a positive value, then we have two real roots of the equation.
Hence, option C is correct i.e. 2.
Answer:
x^4 -2x^2 -24
Step-by-step explanation:
(x^2+4)(x^2−6)
FOIL
First: x^2*x^2 = x^4
Outer: x^2 *-6 = -6x^2
Inner: x^2 *4 = 4x^2
Last: 4*-6 = -24
Add them together
x^4 -6x^2 +4x^2 -24
Combine like terms
x^4 -2x^2 -24
This is in standard form since the powers decrease
The first missing number in the sequence is 35, and the last missing number is 77.
<h3>Next number of the given sequence</h3>
The two missing numbers in the given sequence is calculated as follows;
= ? 49 63 ?
The given sequence is factor 7 which increases by 2
= 7 x 5 7 x 7 7 x 9 7 x 11
= 35 49 63 77
Thus, the first missing number in the sequence is 35, and the last missing number is 77.
Learn more about sequence here: brainly.com/question/6561461
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Answer:
D
Step-by-step explanation:
It would cost about $.50 because $8.15 rounds to $8.00, and 8/16 = 0.5