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madreJ [45]
1 year ago
14

7. Susan has $21, and she has three times as much money as Diego. Write an equation for this

Mathematics
2 answers:
disa [49]1 year ago
8 0

Answer:

Diego has 7

Step-by-step explanation:

So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7

Colt1911 [192]1 year ago
5 0

Answer:

Ok if Susan has $21 and She has 3 times as much money as Diego.

That means the equation is 21 divide by 3.

So that means Diego has $7.

Step-by-step explanation:

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Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
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   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
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The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
3 years ago
Avery can run at 10 uph. The bank of a river is represented by the line 4x + 3y = 12, and Avery is at (7, 5). How much time does
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y=3x/4+b, and we need it to pass through (7,5) so

5=3(7)/4+b

5=21/4+b

20/4-21/4=b

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y=3x/4-1/4

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(3x-1)/4=(-4x+12)/3  cross multiply

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9x-3=-16x+48

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x=51/25

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d^2=38.44

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8 0
2 years ago
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Step-by-step explanation:

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3 years ago
How to change base of logarithms: Best answer gets 27 points and brainliest answer
AlekseyPX

Answer:

1/3

Step-by-step explanation:

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Logb x = Loga x/Loga b

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log3 ((3^(1/3) ) - log3 (3)

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-2

Copy dot flip

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3 years ago
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Eva8 [605]
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2 years ago
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