If y varies directly with x, that means they change at proportion rates. We can define their relationship using a constant k.
y = kx
Plug in what we know to find k.
-3 = 5k
k = -3/5
So:
y = -1 * (-3/5)
y = 3/5
Answer:
x=25°
Step-by-step explanation:
The given angle is a 90° angle. We know this because of the little square in the corner. This means that both angles must add up to 90°:
Insert the known values:
Solve for x. Subtract 65 from both sides:
The missing angle, x°, is 25°.
:Done
108.8 feet in total divided by 13.6 feet for each floor = 8 floors
Answer:
y = 3x² - 42x + 144
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
here (h, k) = (7, - 3), thus
y = a(x - 7)² - 3
To find a substitute (9, 9) into the equation
9 = 4a - 3 ( add 3 to both sides )
12 = 4a ( divide both sides by 4 )
a = 3
y = 3(x - 7)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² - 14x + 49) - 3
= 3x² - 42x + 147 - 3
= 3x² - 42x + 144 ← in standard form
Answer:
The total number of cupcakes ordered=216
Step-by-step explanation:
The total number of cupcakes ordered that the baker completed can be expressed as;
C=P×t
where;
C=Total number of completed order of cupcakes
P=percentage of order completed
t=total number of ordered cupcakes
In our case;
C=81
P=37.5%
t=t
replacing in the above expression;
81=37.5%×t
(37.5/100)×t=81
t=81×100/37.5
t=216
The total number of cupcakes ordered=216
