f(x)=−7x 2 +8x+2f, left parenthesis, x, right parenthesis, equals, minus, 7, x, squared, plus, 8, x, plus, 2 What is the value o
vlada-n [284]
The discriminant of the function is 120, and the function has 2 different x-intercepts
<h3>How to determine the discriminant?</h3>
The function is given as:
f(x) = -7x^2 + 8x + 2
The discriminant (d) is calculated using:
D =b^2 - 4ac
So, we have:
D = 8^2 - 4 * (-7) * 2
Evaluate
D = 120
Because the value of D is greater than 0, then the function has 2 different x-intercepts
Read more about quadratic functions at:
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Answer:
40
Step-by-step explanation:
the tens value is the 2 value from the left of a decimal point.
Examples: 32 67.4 2345 904
In your case, the tens value is 4
We need to look at the ones value to see if we need to round up or down
Because the ones value, 2, is less than 5, we keep the tens value, so it's 40
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
Answer:
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is:
The order of the sides in the ratio above is
short leg : long leg : hypotenuse
The long leg is sqrt(3) times the length of the short leg.
The hypotenuse is twice the length of the short leg.
Whichever line has the same slope (-1/2) as this line is the answer
