Answer:
Option 4 is the correct answer 48x⁹ - 72x⁷ + 36x⁵
Step-by-step explanation:
The given expression is,
9x⁵ + 3x(4x⁴ - 3x²)²
<u>To find (4x⁴ - 3x²)</u>²
(a + b)² = a² + 2ab + b²
<u>(4x⁴ - 3x²)</u>² = (<u>4x⁴ )</u>² - 2*<u>4x⁴*3x² + (3x²)</u>²
= 16x⁸ - 24x⁴⁶+ 9x⁴
<u>To find 3x(4x⁴ - 3x²)²</u>
(4x⁴ - 3x²)² =16x⁸ - 24x⁶+ 9x⁴
3x(4x⁴ - 3x²)² = 3x(16x⁸ - 24x⁶+ 9x⁴ ) = 48x⁹ - 72x⁷ +27x⁵
<u>To find 9x⁵ + 3x(4x⁴ - 3x²)²</u>
3x(4x⁴ - 3x²)² = 48x⁹ - 72x⁷ +27x⁵
9x⁵ + 3x(4x⁴ - 3x²)² = 9x⁵+ 48x⁹ - 72x⁷ +27x⁵ = 48x⁹ - 72x⁷ +36x⁵
Therefore the option 4 is the correct answer
One way to write a linear equation is the formula y = mx + b where m is the slope of the function and b is the y-intercept. For this reason, it is known as slope-intercept form.
The slope os calculated via the formula . Lets calculate the slope of the equation first.
So the slope is -0.12. This means for every minute of time used, $0.12 of credit is used. Next, lets plug in the value for m, and the values of an x and y point to find b.
y = 0.12x + b
23.16 = -0.12(57) + b
23.16 = -6.84 + b
30 = b
So, our final equation is y = -0.12x + 30.
Finally, we can use this equation to find the answer to the last part by plugging the value into x.
y = -0.12(60) + 30
y = -7.2 + 30
y = 22.8
So when 60 minutes have been used, there will be $22.80 worth of credit left.
D because 0.14 is a rational number (can be written as a ratio), 1/3 is a rational number, and √4 is a perfect square root.
Answer:
x = 9 (it is seriously not drawn to scale)
Step-by-step explanation:
BC = DC^2 + BD^2 (Pythagorean theorem)
BC = 4^2 + 6^2
BC = 16 + 36
BC = 52^2
BC = 2sqrt13
BC/AB = DC/BD
(2sqrt13)/AB = 4/6
6(2sqrt13) = 4(AB)
12sqrt13 = 4AB
3sqrt13 = AB
AC^2 = AB^2 + BC^2 (Pythagorean Theorem)
AC^2 = (3sqrt13)^2 + (2sqrt13)^2
AC^2 = 117 + 52
AC^2 = 169
AC = 13
AD + DC = AC
AD + 4= 13
AD = 9
Answer:
I want to be the brainlyiest