Answer:
C. (1, 1, 2)
Step-by-step explanation:
Well plugging them in one by one.
x + y - z = 0
-1 + 2 - 4 = 0
no.... no it doesn't equal 0 so it isn't the solution
-1 + 0 - 2 = 0
nope it doesn't equal 0 so it's also not the solution
1 + 1 - 2 = 0
Yes! this could equal the solution so lets keep going down the line
3x - y + z = 4
(3*1) -1 + 2 = 4
Yes! this also is correct
I could keep talking and talking but yes, (1, 1, 2) is your answer
Hope this helps! <3
Hello!
We are given the equation below.
x+40=3x
We want to get all of the variables on side. First of all let's subtract 40 from both sides.
x=3x-40
Now we rearrange our equation so the commutative property will work.
x=3x+(-40)
x=-40+3x
Now we subtract 3x from both sides.
-2x=-40
We divide both sides by -2.
x=20
Our answer is A) 20.
I hope this helps!
Slope is 2 and the y intercept is 4
Answer:
$160
Step-by-step explanation:
Part A-
Step 1: 6(2k+5) - 20
Step 2: 6(2k) + 6(5) - 20
Step 3: 12k + 30 - 20
<h2><u>
12k + 10</u></h2><h2><u>
</u></h2><h3>Part B-</h3><h3>12(12.50) + 10</h3><h3>150 + 10</h3><h2><u>$160</u></h2>
Answer:
Step-by-step explanation:
f(x) is quadratic function and g(x) is linear (since AP in the right column).
<u>Find the equation of the function f(x), use the points on the graph:</u>
- c = 5 as the y-intercept is (0, 5)
- a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
- a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4
<u>The function is:</u>
Find the equation of g(x)
<u>Find the slope of g(x):</u>
- m = (1 - 7)/(-1 + 4) = -2
<u>Use (-4, 7) to find its equation:</u>
- y - 7 = -2(x + 4)
- y = -2x + 7 - 8
- y = -2x - 1
<h3>See the required comparison below</h3>
<u>The y-intercepts:</u>
- f(x) ⇒ 5,
- g(x) ⇒ -1
- -5 < - 1
<u>Values at x = 3:</u>
- f(3) = -3² + 4(3) + 5 = 8
- g(3) = -2(3) - 1 = - 7
- 8 > 7
<u>Average rate of change in the interval [2,5]:</u>
- f(x) ⇒ (0 - 9)/(5 - 2) = -3
- g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
- -3 < -2
<u>Max of function in the interval [-5, 5];</u>
- f(x) ⇒ 9, vertex of the function
- g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
- 9 = 9
