x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Step-by-step explanation:
We shall expand the brackets;
(x + 2)^6
x⁶ + x⁵2 + x⁴2² + x³2³ + x²2⁴ + x2⁵ + 2⁶
x⁶ + 2x⁵ + 4x⁴ + 8x³ + 16x² + 32x + 64
We shall then use Pascal’s triangle to fit in the coefficients;
(1) x⁶ + (6) 2x⁵ + (15) 4x⁴ + (20) 8x³ + (15) 16x² + (6) 32x + (1) 64
x⁶ + 12x⁵ + 60x⁴ + 160x³ + 240x² + 192x + 64
Answer:
<h3>.2a + 4b = -2</h3><h3> 2a + 3b = 23</h3><h3><u>We</u><u> </u><u>subtr</u><u>act</u><u>.</u><u>.</u></h3><h3><u> </u><u> </u><u>0</u><u> </u><u>+</u><u> </u><u>b</u><u> </u><u>=</u><u> </u><u>-</u><u>2</u><u>5</u></h3>
<h3>a + (2×-25) = -1</h3><h3>a - 50 = -1</h3><h3>a = -1+50</h3><h3><u>a</u><u> </u><u>=</u><u> </u><u>4</u><u>9</u><u>.</u></h3>
<h3><u>a</u><u> </u><u>=</u><u> </u><u>4</u><u>9</u></h3><h3><u>b</u><u> </u><u>=</u><u> </u><u>-</u><u>2</u><u>5</u><u>.</u></h3>
Step-by-step explanation:
<h3><u>provin</u><u>g</u><u> my</u><u> </u><u>an</u><u>swer</u><u>.</u></h3>
<h3>a + 2b = -1</h3><h3>49 + (2×-25) = -1</h3><h3>49 - 50 = -1</h3>
<h3>2a + 3b = 23</h3><h3>(2×49) + (3×-25) = 23</h3><h3>98 + (-75) = 23</h3><h3>98 - 75 = 23</h3>
Answer:
f(x) = x³ - 3
Step-by-step explanation:
Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < o then a shift down o c units
Here a shift down of 3 units, hence c = - 3, thus
f(x) = x³ - 3
Answer:
They are equal since they are both 90 degree angles.
Step-by-step explanation: Please brainliest? (Sorry if not correct.)
Answer:
A voltage of 760V will be produced by 19 windings.
Step-by-step explanation:
Given the equation:
E = 40W
Where E is the Voltage in the circuits
and W is the number of windings
<u>Given</u> that E = 760V
<u>To find:</u> W = ?
<u>Solution:</u> Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.
So, Putting the value of E in the given formula and finding W, the number of windings:

So, number of windings for a voltage E = 760V is 19.
A voltage of 760V will be produced by 19 windings.