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3 years ago

What type of function does this equation represent? 2 Y = 4 (1)

Mathematics

1 answer:

Sphinxa [80]3 years ago

4 0

Answer:

2y=4 is a linear function

Step-by-step explanation:

Since 2y=4 is the same as 2y¹=4, then a degree of 1 makes the function linear, aka. a straight line.

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Write he standard form of the equation; Through: (-1,5) and (1,2)

JulsSmile [24]

Standard form is ax+by=c where a,b, and c are integers and a is usually positive

so
first find slope
get into form y=mx+b where m is slope
so
slope between points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
points (-1,5) and (1,2)
slope is (2-5)/(1-(-1))=-3/(1+1)=-3/2
y=-3/2x+b
find b
sub a point
(1,2)
2=-3/2(1)+b
2=-3/2+b
4/2=-3/2+b
7/2=b

y=-3/2x+7/2
add 3/2 both sides
3/2x+y=7/2
times 2 both sides
3x+2y=7 is standard form

3 0

3 years ago

ASAP <br> HELP JUST THE ANSWER

kolbaska11 [484]

Answer:

40:15 simplified is, (i divided by 5) 8:3

Ratio is when you have a number to a number just put them together but put a colon between them to make it a ratio, thats all ;D. It's basically a fraction.

But you can also simplify ratios just like fractions because they are fractions!

5 0

3 years ago

Read 2 more answers

I need help with 3) and 4)

ratelena [41]

3) Triangle = 180 degrees
180= 55+90+x
180=145+x
-145 -145
35=x
x=35 degrees

4) 1 liter = 1000 ml
Emilee drink more

6 0

3 years ago

Please help, its my homework and I really need this done

Zanzabum

Answer:

Surface area of cylinder = 91.2π cm²

Volume of cylinder = 57.6π cm³

Step-by-step explanation:

Given:

Height of cylinder = 1.6 cm

Radius of cylinder = 6 cm

Find:

Surface area of cylinder

Volume of cylinder

Computation:

Surface area of cylinder = 2πr[h+r]

Surface area of cylinder = 2π(6)[1.6+6]

Surface area of cylinder = 2π(6)(7.6)

Surface area of cylinder = 91.2π cm²

Volume of cylinder = πr²h

Volume of cylinder = π(6)²(1.6)

Volume of cylinder = π(36)(1.6)

Volume of cylinder = 57.6π cm³

3 0

3 years ago

A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov

Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

$\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water$

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

$lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.$

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

$lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water$

3) and replaced it with 10 liters of water.

$New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters$

The final ratio of lemon juice to water:

$\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19$

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

4 0

3 years ago