Answer:
y = x² + 38x + 311
Step-by-step explanation:
If a polynomial has rational coefficients and irrational roots, then the roots must be conjugate pairs.
y = (x − (-19-5√2)) (x − (-19+5√2))
y = (x + 19+5√2) (x + 19−5√2)
Use FOIL to distribute:
y = x² + x (19−5√2) + x (19+5√2) + (19+5√2)(19−5√2)
y = x² + 19x − 5√2 x + 19x + 5√2 x + (19+5√2)(19−5√2)
y = x² + 38x + (19+5√2)(19−5√2)
Use FOIL to distribute the last term:
y = x² + 38x + 19² − 95√2 + 95√2 − 50
y = x² + 38x + 361 − 50
y = x² + 38x + 311
Answer:
£1,049
Step-by-step explanation:
The computation of the amount after 5 years is shown below:
Here we have to determined the future value
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= £950 × (1 + 0.02)^5
= £950 × 1.02^5
= £950 × 1.1040808032
= £1,049
Answer:
a = 1
b = 3
c = 1
d = 2
e = 6
f = 8
Step-by-step explanation:
Any integer with power as zero = 1
<h3>
For a</h3>
2^x
2^0
= 1
<h3>
For b</h3>
3 * 2^x
3 * 2^0
3 * 1
= 3
<h3>
For c</h3>
2 ^ 3(x)
2 ^ 3(0)
2 ^ 0
= 1
<h3>For d</h3>
2^1
= 2
<h3>
For e</h3>
3 * 2^x
3 * 2^1
3 * 2
= 6
<h3>For f</h3>
2 ^ 3(x)
2 ^ 3(1)
2 ^ 3
2 * 2 * 2
= 8
Answer:
<h2>(1, -2)</h2>
Step-by-step explanation:
The equation of a circle:
(h, k) - center
r - radius
We have:
Answer:
Step-by-step explanation:
The slope would be rise 2 over 1
