If Bryan wants to make $2000 dollars then he needs to solve this equation:
2000=500+150x
-500 -500
1500=150x divide by 150 on both sides
x=10
10 cars
54•150,I think that’s the way to do it,let me know if I’m wrong.
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Answer:
7x² - 3x - 4
Step-by-step explanation:
<u>Step 1: Write expression</u>
(6x² - x + 3) + (-2x + x² - 7)
<u>Step 2: Combine like terms (x²)</u>
7x² - x + 3 - 2x - 7
<u>Step 3: Combine like terms (x)</u>
7x² - 3x + 3 - 7
<u>Step 4: Combine like terms (constants)</u>
7x² - 3x - 4
To answer this question we can propose the following equation:
Where:
x is the number of weeks elapsed.
d is the debt depending on the weeks.
Robert promised to pay at least $ 67 each week.
Therefore, after 5 weeks the debt of rober should be:
Then scenario A) is possible because 
.
After 6 weeks:
Then scenario B) is possible because 
.
After 7 weeks
Then scenario C) is possible because 
.
After 8 weeks
So scenario D) is NOT possible because 
Finally the correct answer is option D.
