Answer:
x=0
y=6
Step-by-step explanation:
Two equations with two unknowns can be solved. Use the three steps given below.
In general you can save time if you use the simplest expression for step 1. You can choose either expression to start with x =.. or you can rewrite it, so it starts with y =...
FOLLOW THESE STEPS:
1. Rewrite the first expression so it starts with y =...
2. Then use that expression and substitute it in the other expression, to find the value for x.
3. Use that value found in step 2. and substitute it in the rewritten expssion you created in step 1. Solve this last expression and you'll get the value for y.
Step 1.
-6y + 11x = -36
-6y = -11x -36
multiply left and right of the = sign by -1
6y = 11x + 36
divide left and right of the = sign by 6
y = 11x/6 + 36/6
y = 11/6x + 6
Step 2.
-4 * ( y ) + 7x = -24
-4 * ( 11/6x + 6 ) + 7x = -24
( -44/6x - 24 ) + 7x = -24
-44/6x + 7x = -24 + 24
You can see immediately that ...x = 0
Just for fun of it ....
-44/6x + 42/6x = 24 - 24
(-44+42)/6x = 0
-2/6x = 0
-1/3x = 0
multiply left and right of the = sign by -3
3/3x = 0 * -3
x = 0
Step 3.
y = 11/6( x ) + 6. and substitute x = 0 gives:
y = 11/6( 0) + 6
y = 0 + 6
y = 6
2 over 11, 7, 7.118, 57 over 8, 7.26
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms
= - 0.6(x² - 7x) + 240
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 7x
f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240
= - 0.6 (x - 3.5)² + 7.35 + 240
= - 0.6(x - 3.5)² + 247.35
with vertex = (3.5, 247.35 )
The maximum value is the y- coordinate of the vertex
Then
f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35
Answer: 18°F
Step-by-step explanation: if you add 21 and -3 you get 18
