All categories

2 years ago

Find the equation of the linear function represented by the table below in slope intercept form.

Mathematics

1 answer:

Ulleksa [173]2 years ago

8 0

Step-by-step explanation:

let equation be y = mx + b.

m = (9-5)/(3-1) = 2

sub (1, 5):

5 = 2(1) + b

b = 3

therefore the equation: y = 2x + 3

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

You might be interested in

A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be ma

Gnoma [55]

Answer:

The value is $C \approx \$76$

Step-by-step explanation:

From the question we are told that

The area of the rectangular pen is $A = 24 \ yard^2$

The cost of material used to make one side is $z = \$ 6$

The cost of material used to make the other sides is $r = \$ 3$

Now , the fence to be build around the rectangular pen has four sides, the first opposite sides are equal, let assume each of the to be x yard and the other opposite sides are also equal as well let assume of the to be y yard

So the cost is mathematically represented as

$C = zx + r (x + 2y )$

=> $C = 6x + 3(x + 2y)$

=> $C = 9x + 6y$

Now the area of the fence is mathematically represented as

$A = x* y = 24$

=> $y = \frac{24}{x}$

=> $C = 9x + 6[\frac{24}{x} ]$

=> $C = 9x + [\frac{144}{x} ]$

Now differentiating

$C' = 9 + 144* (-2) x^{-2}$

$C' = 9 - 288x^{-2}$

At minimum $C' = 0$

$9 - 288x^{-2} = 0$

$x^{-2} = 0.03125$

$x = \sqrt{\frac{1}{0.03125} }$

$x = 5.66$

Now substituting for x in the equation above to obtain minimum cost

$C = 9(5.66) + [\frac{144}{5.66} ]$

$C \approx \$76$

8 0

3 years ago

Find the x-intercept of the line:

frozen [14]

2x+4y=8
-2x -2x
4y=-2x+8
/4 /4 /4
y=-1/2x+2

6 0

2 years ago

Read 2 more answers

Simplify: 7ax3+5x2a-9a÷3<br>

posledela

1)Calculate the product:
21a + 10a - 3a
2)Collect like terms:
28a
Answer:
28a

8 0

2 years ago

Need help PlsSSSSSSSSSSSSSSSSSSSSSSS

Makovka662 [10]

Answer:

min = 24 LQ = 27 median = 32 UQ = 37 Max=44

3 0

2 years ago

Read 2 more answers

PLEASE PLEASE HELP ME ASAP

Vika [28.1K]

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

sin=O/H
cos=A/H
tan=O/A

----------------------------------------------------------

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

- BD relative to 28° is [opposite]

- Therefore, we need to use O/A, which is tan

- tan(28°)=16.2/A=16.2/tan(28°)=30.5

Hope this helps!! :)

Please let me know if you have any questions

4 0

2 years ago