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harina [27]
3 years ago
8

The table shows points that lie on a line.

Mathematics
1 answer:
svp [43]3 years ago
6 0

Answer:

y = 4*x+3

Step-by-step explanation:

First pick any 2 set of points to find the slope. I chose (1,7) and (3,15)

The slope formula is shown below

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }

Now fill in the variables and solve

15 - 3 = 12

3 - 0 = 3

Divide

12/3 = 4

So the slope is 4

The y intercept is 3 since that is where x = 0

Now we can write the equation

y = 4*x+3

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madam [21]

Answer:

-8

Step-by-step explanation:

(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear

19x=-152

x=-8

5 0
3 years ago
List down all the values of k<br>if; - 4≤ k ≤ 1​
vekshin1

Answer:

All the values of k are  -4, -3, -2, -1, 0 , 1

Step-by-step explanation:

Given;

- 4≤ k ≤ 1​

The range of value of k is between -4 and 1.

These values are listed as follows;

k = -4, -3, -2, -1, 0 , 1

Therefore, all the values of k are  -4, -3, -2, -1, 0 , 1

6 0
2 years ago
a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will
slamgirl [31]
<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

                 h=\frac{12-a^2}{3a}

So volume is

                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

Negative side is not possible, hence side of square base is 2m.

Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

5 0
3 years ago
You have been asked to rename one of the quadrilaterals (square, parallelogram, rectangle, rhombus, or trapezoid). Which quadril
alexgriva [62]

Answer:

I would rename the trapezoid. I would rename it a semi-hexagon, because it is basically half of a hexagon.

4 0
2 years ago
Is 5 a solution to the inequality
Pani-rosa [81]

4 is the answer, divide both sides by 3 and get 4

8 0
3 years ago
Read 2 more answers
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