Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
Could you attach a picture, please
Answer:
5/4
Step-by-step explanation:
y=mx+b
m = slope
5/4= slope
Total height of the cake and the candles is 17.1 cm
Step-by-step explanation:
- Step 1: Convert the mixed fractions into decimal expressions.
11 7/10 cm = 117/10 = 11.7 cm
5 4/10 cm = 54/10 = 5.4 cm
- Step 2: Find total height of the cake and the candles
Total height = 11.7 + 5.4 = 17.1 cm
Answer:
89,700
Step-by-step explanation:
