Answer:
a) 74.3
b) 98.8
Step-by-step explanation:
The tenth decimal place is the first place immediately to the right of the decimal point. When rounding, you first need to look at the number to the right of the place you wish to find. If the number in this spot is 5 - 9, round the number in the tenth decimal place up one unit. If the number is 0 - 4, keep the number in the tenth decimal place the same. Finally, remove all of the numbers to the right of the tenth decimal place.
a) 74.3472
^ tenth
The next number to the right (4) is not big enough to round up
a) 74.3
b) 98.759
^ tenth
The next number to the right (5) is big enough to round up
b) 98.8
Answer:
The t-shirt cost $10.70
Step-by-step explanation:
12.25 + T = 22.95
-12.25 -12.25
T=10.70
Answer:
17/52
Step-by-step explanation:
red: 13/52
polka dots: 4/52
13 + 4 = 17 = 17/52
(p.s the "Just 1 of the red balloons has polka dots." was kinda to throw u off it doesn't actually matter)
Answer:
y = (x + 4.5)² - 13.25
Step-by-step explanation:
y = x² + 9x + 7
We need to get a perfectly squared binomial as part of the right side.
Take the '9x' term, divide it in half, square it, add <u>and also subtract it </u>on the right side, as shown below. That would be (4.5)² = 20.25 added <u>and </u>subtracted.
y = x² + 9x + 7
y = x² + 9x + 20.25 + 7 - 20.25
y = (x² + 9x + 20.25) - 13.25
y = (x + 4.5)² - 13.25
y = (x + 4.5)² - 13.25
Vertex Form is y = a(x-h)² + k, where the parabola vertex is (h, k)
So if you wrote this as y = 1(x - [-4.5] )² + (-13.25), we would see that a = 1, and h = -4.5 and k = -13.25.
Vertex = (-4.5, -13.25)
I verified on a graphing calculator that this is indeed the vertex of the parabola.