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Gnoma [55]
4 years ago
8

2

Mathematics
1 answer:
Verizon [17]4 years ago
6 0

Answer:

<h3>            f(x) =  -²/₄₉(x - 2)² + 4</h3>

Step-by-step explanation:

The vertex form of an equation of the parabola:  

                                                         f(x) = a(x - p)² + q

vertex is (2, 4)  so  p = 2,  q = 4

so:

   f(x) = a(x - 2)² + 4

the parabola goes through the point (-5, 2) so  x=-5,  f(x)=2

  2 = a(-5-2)² + 4

  - 2 = a(49)

    a = -²/₄₉

Therefore the equation of the parabola in vertex form:

f(x) = -²/₄₉(x - 2)² + 4

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Angel and Jayden were at track practice. The track is 2/5 kilometers around.  Angel ran 1 lap in 2 minutes.  Jayden ran 3 laps
choli [55]

Answer:

6/25 km in 1 min; or 0.24 km/min

Step-by-step explanation:

The info about Angel is not necessary.

Jayden runs 3 laps in 5 mins

Each lap is 2/5 km, so Jayden runs 3 x (2/5 km) in 5 min = 6/5 km in 5 min.

Distance = rate x time

6/5 km = rate (5 min)

We want to isolate r (rate), so divide both sides by 5 min

6/5 km ÷ 5 min = r

6/5 km (1/5 min) = r

6/25 km/min = r  (notice how the units worked out correctly to km/min)

So, Jayden runs 6/25 km in 1 min.

7 0
3 years ago
Read 2 more answers
Solve the following system of equations 3x+4y=16 and -4x-3y = -19
BigorU [14]
3x + 4y = 16
-4x - 3y = -19

4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1

Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4

Answer:
x = 4
y = 1
4 0
3 years ago
A school cafeteria uses 10
gladu [14]

Using proportions, it is found that there are 5 cups of milk in each bowl of chocolate pudding.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The cafeteria used 10 quarts for 8 bowls, hence the number of quarts per bowl is:

10/8 = 1.25

Each quart has 4 cups, hence the number of cups is:

4 x 1.25 = 5 cups.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
Help me with this question plz
Dvinal [7]

Answer:

4

Step-by-step explanation:

4x +8 = 7x -4

3x = 12

x = 4

pls mark brainiest :)

6 0
3 years ago
Find the slope of the line containing the points (6,4) and (6,8)
kramer

Answer:

Undefined.

Step-by-step explanation:

Note that the x-coordinate does not change.  This indicates that the two points lie on a vertical line.  The slope of a vertical line is undefined.


6 0
3 years ago
Read 2 more answers
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