<em>Write any 4 laws, or properties, of exponents.</em>
<em />
<em> </em>
When we multiply together numbers with the same base,
we add the exponents.
When we divide numbers with the same base, we
subtract the exponents.
If we have a fraction to a power, we raise the numerator and
the denominator to that power.
And then last but not least,
If we have a number with a negative exponent, we flip it over.
<h3>Good luck with your studies.</h3>
#TogetherWeGoFar
The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
Answer:
0.62
Step-by-step explanation:
4.99/8=0.62
From the graph we can observe that G(x) is obtained by shifting F(x) 3 units to the left and 1 unit upwards.
Thus, both horizontal and vertical translations are involved. Horizontal translation of 3 units to left can be obtained by adding 3 to x in the equation and vertical translation of 1 can be obtained by adding 1 to the entire function.
So,
G(x) = F(x+3) + 1
G(x) = (x+3)² + 1
Thus the correct answer is option C
