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never [62]
3 years ago
6

Write down the equations for the lines whose graphs are depicted below.

Mathematics
1 answer:
laiz [17]3 years ago
8 0

The graph depicts a linear equation

The equation of the graph is: \mathbf{y = 2x }

From the graph, we have the following points:

\mathbf{(x_1,y_1) = (0,0)}

\mathbf{(x_2,y_2) = (2,1)}

So, the slope (m) is:

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}

This gives

\mathbf{m = \frac{2-0}{1 -0}}

\mathbf{m = \frac{2}{1}}

\mathbf{m = 2}

The equation is then calculated as:

\mathbf{y = m(x - x_1) + y_1}

This gives

\mathbf{y = 2(x - 0) + 0}

\mathbf{y = 2(x - 0)}

\mathbf{y = 2x }

Hence, the equation of the graph is: \mathbf{y = 2x }

Read more about graphs and equations at:

brainly.com/question/18588430

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A cube-shaped aquarium has edges that are 3 feet long and is filled with water that has a density of 62 lbs/ft3 Should the aquar
Sunny_sXe [5.5K]

Given:

There are given the edge of the cube-shaped aquarium has 3 feet.

Explanation:

To find the value, we need to use the volume of the cube formula:

So,

From the formula of volume:

V=a^3

Where

a represents the value of edge.

So,

Put the value of edge into the above formula:

Then,

\begin{gathered} V=a^3 \\ V=3^3 \\ V=27cube\text{ feet} \end{gathered}

Now,

The water has a density of 62 pounds per cube foot.

According to the question:

If the weight of 1 cubic foot of water is 62 pounds, then the weight of 27 cube feet water is:

62\times27=1674pound

Final answer:

Hence, the water weight of the full aquarium is 1674 pounds, and the table only susupports00 pounds. So the table cannot hold the aquarium.

And,

No, the density of water would not change.

6 0
1 year ago
PLEASE HELP. WILL GIVE BRAINLIEST
KengaRu [80]

Answer:

x-intercepts = 1,2, and 4, y-intercept = -8

Step-by-step explanation:

x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).

Solving for x-intercepts:

  • We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
  • Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
  • From here we can separate the polynomial into two binomials.
  • x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
  • Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).

Solving for y-intercept:

  • The y-intercept is always the coefficient that does not have any assigned x-variables.
  • The coefficient is -8, thus the y-intercept.
  • If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
  • If there is no coefficient, the y-intercept is equal to zero.
4 0
3 years ago
QUICK!!!!!!!!help help help
Luba_88 [7]
I think its "Yes it can because -3.5 lies to the left of -1.5"
5 0
3 years ago
PLEASE HELP ME!!!!! <br><br> what is the perimeter and area of this figure?
Pavel [41]

Answer:

The perimeter is 99

Step-by-step explanation:

you do 11x9=99

4 0
3 years ago
I need help on 24 please
charle [14.2K]
F. 24, this is because if you split the bigger square in half you’ll get 6 and perimeter is the addition of all sides. So 6+6+6+6=24
4 0
3 years ago
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