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2 years ago

Solve the following system of equations by linear combination: 5x 2y = 14 y = x – 7

1 answer:

4 0

I would use subsitution
y=x-7
sub x-7 for every x
5x+2(x-7)=14
5x+2x-14=14
add 14 to both sides
7x=28
divide both sides by 7
x=4
sub
y=x-7
y=4-7
y=-3

x=4
y=-3
(4,-3)

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Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k. k = ______ Graph of two lines. f of x equa

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Solution:

As given , g(x)= f(x) + k --------(1)

As also given : f(x) = $\frac{1}{3}$ (x+2)

g(x) = $\frac{1}{3}$ (x+5)

Putting the value of f(x) and g(x) in equation (1).

→ $\frac{1}{3}$ (x+5) = $\frac{1}{3}$ (x+2) + k

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2 years ago

El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.

son4ous [18]

Answer: El mayor lado del rectangulo tiene 10cm

Step-by-step explanation:

El perímetro de un rectángulo puede escribirse como:

P = 2*L + 2*A

Donde L es el largo y A es el ancho.

Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:

L = A + 6cm.

P = 28cm = 2*L + 2*A

podemos reemplazar la primera ecuación en la segunda:

28cm = 2*(A + 6cm) + 2*A

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28cm - 12cm = 4*A

16cm/4 = A

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Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm

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2 years ago

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Answer:

They purchased 14 adult tickets and 4 kids tickets.

Step-by-step explanation:

14 x 5 = 70

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and then add 70 plus 12 to get 82 dollars.

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2 years ago

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

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