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NeX [460]
4 years ago
11

The graph of a quadratic function has a minimum at (0, 2). The graph contains the point (-3, 11). What is another point on the g

raph?
Mathematics
2 answers:
NemiM [27]4 years ago
8 0

Answer:

Step-by-step explanation:

Graphs of quadratics are symmetrical about the vertex (minimum or maximum point).  

The x value of the point (-3, 11) is 3 units to the left of the vertex (0, 2), the x value that is 3 units to the right of the vertex will have the same y value, so the point

(3, 11) is also on the graph

Degger [83]4 years ago
8 0

Answer:

(3, 11)

Step-by-step explanation:

imagine math

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4 years ago
Ed is planning daily walking workouts on the same distance of 12 km in the morning and in the evening. Usually he is walking at
dezoksy [38]

Answer:

5 km/h

Step-by-step explanation:

Let x km/h be Ed's rate in the evening, then x+1 km/h is his rate in the morning. It takes him

  • \dfrac{12}{x+1} hours in the morning to pass 12 km;
  • \dfrac{12}{x} hours in the evening to pass 12 km.

In total, it takes him 5 hours 24 minutes (5\dfrac{24}{60}=5.4 hours), then

\dfrac{12}{x+1}+\dfrac{12}{x}=5.4.

Solve this equation:

\dfrac{12x+12(x+1)}{(x+1)x}=5.4,\\ \\12x+12x+12=5.4x^2+5.4x,\\ \\5.4x^2 -18.6x-12=0,\\ \\54x^2-186x-120=0,\\ \\9x^2 -31x-20=0,\\ \\D=(-31)^2-4\cdot 9\cdot (-20)=1,681=41^2,\\ \\x_{1,2}=\dfrac{-(-31)\pm\sqrt{41^2}}{2\cdot 9}=\dfrac{31\pm41}{18}=-\dfrac{5}{9},\ 4\ km/h.

Ed's rate cannot be negative, thus x=4 km/h. His morning rate is x+1=5 km/h.

3 0
4 years ago
ariana is standing at the bottom of a hill in the zoo. the angle of elevation from her to the top of the hill is 17 degrees. if
andriy [413]

Answer:

171.02 ft.

Step-by-step explanation:

Please see the attached image

sin(17)=50/x

x=50/sin(17)≈171.02

5 0
3 years ago
Tommy has "n" friends and he wants to give each friend 5 pencils. Write an expression to show how many pencils pencils Tommy wil
Tom [10]

Answer:

5n

Step-by-step explanation:

Think about it:

If Tommy has 4 friends (n = 4), then he will have to give 5 pencils to each person. The total number of pencils is 5 * n or 5 * 4 = 20.

Similarly, if Tommy has 0 friends (I can relate), then he will have to give 5 pencils to each of his imaginary friends. The total number of pencils he has to give out to his real friends is 5 * n or 5 * 0 = 0.

4 0
3 years ago
drag each tile to the correct box. not all tiles will be used. one solution each is given for four quadratic equations. assuming
saw5 [17]

for the equation is, x = -4 - 5i

The  solution will be, x = -4 + 5i

for the equation is, x = 4 + 5i

The  solution will be, x = 4 - 5i

for the equation is, x = 5 - 4i

The  solution will be, x = 5 - 4i

<h3>Quadratic equation defind as:</h3>

Any equation in algebra that can be written in proper format as where x stands for an unknown, where a, b, and c stand for known numbers, and where a 0

<h3>According to the given information:</h3>

If (a + bi) is a complex number and a quadratic equation has one solution,

The second solution to the equation will be the conjugate of the first.

Consequently, the alternative solution will take the form of (a - bi).

for the equation is, x = -4 - 5i

The  solution will be, x = -4 + 5i

for the equation is, x = 4 + 5i

The  solution will be, x = 4 - 5i

for the equation is, x = 5 - 4i

The  solution will be, x = 5 - 4i

To know more about quadratic equation visit:

brainly.com/question/17177510

#SPJ4

4 0
1 year ago
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