Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
You would get $26,880.
0.07*4000= 280; so $280 are added every month
There are 96 months in 8 years, so multiply 280*96 which =26,880
Answer:
364.5
Step-by-step explanation:
you would need a calculator for it, unless you can do exponential math at such a degree... if you're using a PC there's a good graphing calculator at Desmos.com, it can show you how a graph looks, which shows that when n is 7, the answer is 364.5. also it wouldn't be 1093.5 because the exponent is n-1 which means that while n could be 7, you need to take away 1 before using it as an exponent.
Answer:
8
Step-by-step explanation:
15 x (1/3+1/5) make common denominators and add
15 x (5/15+3/15) add fractions
15/1 x (8/15) 15 and 15 cancel out and become 1
1/1 x 8/1
1 x 8
8
Domain is the x intercepts and range is the y intercepts.
So for this one, all of the ones in the x column would be the domain values.
C. (1,2,3,4) would be your answer.
good luck on the rest of your test!
