Answer:
x = 1/2
Step-by-step explanation:
First you want to get rid of the fraction, so you can multiply both sides of the equation by 3.
9 = 2x + 8
Then, subtract 8 from both sides to get x by itself.
1 = 2x
Finally, divide both sides by 2 so you only have one x
1/2 = x
This means that the answer is x = 1/2.
multiply the amount of one piece with the number of pieces
1.85×8=14.8
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
You can try then by plotting the points in.
The answer is C
Make sure by plotting in the points, lets take (-5,27)
y = 12 -3(-5)
y = 12 + 15
y = 27
27 = 27
This is correct
Lets try (-1,15)
y = 12 -3(-1)
y = 12 + 3
y = 15
15 = 15
This is correct
Lets try (8,-12)
y = 12 -3(8)
y = 12 - 24
y = -12
-12 = -12
This is correct too.
The correct ordered pairs are <span>C(-5,27),(-1,15),(8,-12)</span>
Harry’s hero will save a total of 4,380 lives
