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3 years ago

How many solutions does the following system of equations have y=2x+2 & 2y=4x+4

Mathematics

1 answer:

iren [92.7K]3 years ago

3 0

Answer:

y=2x + 2

0= 2x +2

-2x = 2

x= -1

Step-by-step explanation:

2y = 4x +4

2y -4x =4

y-2x =2

-2x +y =2

2x-y=-2

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Madelynne hopped 12 times in 15 seconds.What is her speed in hops per minute?

BabaBlast [244]

60 seconds = 1 minute
60/15 = 4

12 hops in 15 seconds is the same as

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48 hops in 60 seconds, and since 60 sec = 1 min, it equals

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4 years ago

When 4 is subtracted from 5 times a number, the result is 16. what is the number?

Deffense [45]

4
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4 years ago

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The exponential function modeled by the following table?

GuDViN [60]

Answer:

$f(x)=3^x$

Step-by-step explanation:

From the table;

When x=2, $y=9=3^2$

When x=3, $y=27=3^3$

When x=4, $y=81=3^4$

We can infer from the pattern that;

$f(x)=3^x$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=convert%20%3A%20%20%20%20-%20%20%5C%5C%20%20%5C%5C%205.5%20%5C%3A%20km%20%5C%3A%20%20%5C%3A%20

julia-pushkina [17]

Answer:

5500 meters

Step-by-step explanation:

Meters = m

Kilometres = km

We use the general formula,

1 km = 1000 m

Then by using the general formula,

5.5 km = ? m

→ 5.5 km/1 km × 1000 m

→ 5.5 m × 1000 m

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4 years ago

Which logarithmic equation has the same solution as x-4=2^3

Nadya [2.5K]

Answer:

$log_{3}(x-4)= 3log_{3}(2)$

Step-by-step explanation:

The given equation is:

$x-4=2^{3}$

We have to find the logarithmic equation with same solution as the given equation.

If we take the log of both sides, we can get a logarithmic equation. Since the log operation is applied to both sides the solution of the equation will stay the same.

Taking the logarithm to the base 3 of both sides, we get:

$log_{3}(x-4)= log_{3}(2)^{3}\\\\ log_{3}(x-4)= 3log_{3}(2)$

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3 years ago

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