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3 years ago

How do you solve 5x-2=8?

Mathematics

2 answers:

MariettaO [177]3 years ago

7 0

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 8

get rid of 2 to get x by itself on the left side

5x - 2 + 2 = 8 + 2 (whatever u do to one side do to the other)

5x = 10

divide to get 1x (divide both sides by 5)

x = 10

klemol [59]3 years ago

6 0

Answer:

x=2

Step-by-step explanation:

5×2=10-2=8

You subtract add two to both sides, giving you 5x=10

Divide the 10 by 5 and you get 2.

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2 years ago

Plot the vertex and the axis of symmetry of this function on the provided graph. f(x) = (x + 2)2 − 6

Nookie1986 [14]

Answer:

See attached image

Step-by-step explanation:

This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.

The vertex coordinates are therefore: (-2,-6)

The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.

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2 years ago

There..?

QveST [7]

The answer should be:

Domain: All real

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Range: all real

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3 0

3 years ago

A cat keeps eating to gain weight while a dog keeps doing exercise.Later, the cat's weight increases by 20% and the dog's weight

lesya [120]

Answer:

Step-by-step explanation:

We will call the dog's original weight d and the cat's c. according to the problem 1.2c=.9d

1.2c is the cat's weight increased by 20% and .9d is the dog's weight decreased by 10% Now we just solve this with algebra for the dog's original weight.

1.2c=.9d

(1.2/.9)c = d

(4/3)c = d

Now, this tells us that the dog's original weight was 4/3 of the cat's.or about 33.33% larger

It kinda looks like the question is then asking what the cat's current weight is in comparison to the dog's original. If that's the case we need just one more step. We want the dog's original weight and the cat's current weight in terms of the same variable. Well, we have that.

Current cat = 1.2c or 6/5, since we have the other in fractional form.

original dog = (4/3)c

Now, what do we multiply the first to get to the second? Well, we need common denominators. 15 is the lcm of 3 and 5, so we'll use that.

6/5 = 18/15 and 4/3 = 20/15

Nowwe want to know what we have to multiply 18 by to get to 20. some algebra will find that.

18x=20

x = 20/18

x = 10/9

that's about 1.11, so the dog's original weight is about 11% higher than the cat's current weight.

Hopefully that's the answer it wanted, if not or if there is something you didn't understand let me know.

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3 years ago