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mixas84 [53]
2 years ago
13

What is the turning point of the parabola whose equation is y=2x^+4x-3

Mathematics
1 answer:
mr_godi [17]2 years ago
7 0
\bf \textit{vertex of a parabola}\\ \quad \\

\begin{array}{llccll}
y=&2x^2&+4x&-3\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)
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The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?
stepan [7]

Answer:

56

Step-by-step explanation:

1176 divided by 21 = 56

3 0
2 years ago
Show all work and provide necessary descriptions
masya89 [10]

Let

P=(P_x,P_y),\quad Q=(Q_x,Q_y)

If M is the midpoint, the x and y coordinates of M are the average of the x and y coordinates of P and Q:

M=\left(\dfrac{P_x+Q_x}{2},\ \dfrac{P_y+Q_y}{2}\right)

We can solve this expression for the coordinates of Q:

M_x = \dfrac{P_x+Q_x}{2} \implies Q_x = 2M_x-P_x

M_y = \dfrac{P_y+Q_y}{2} \implies Q_y = 2M_y-P_y

Plug in the values for the coordinates of M and P to get

Q_x = 2M_x-P_x = 2\cdot 5-11 = 10-11=-1

Q_y = 2M_y-P_y = 2\cdot (-2) - (-10) = -4+10=6

5 0
3 years ago
Suppose the population of Franklin was 29,494 in the year 2000. If the exponential rate of increase is 1.23%, what is the curren
alukav5142 [94]

Answer:

652997

Step-by-step explanation:

1.23*18=22.14

22.14*29,494=652997.16

round it down to get 652997

8 0
3 years ago
Substitute<br>x+y =200<br>9.5x+27y=4000​
Vera_Pavlovna [14]
Point form: (80,120)
X=80, Y=120
3 0
3 years ago
A hippopotamus is 100 pounds of food a day how many days would it take a hippo to the 1 ton of food
alina1380 [7]

Answer:

20 days

Step-by-step explanation:

1 ton=2000ibs 2000/100=20

8 0
3 years ago
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