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3 years ago

What is the slope of 1.5x+4.5y=18

Mathematics

2 answers:

melomori [17]3 years ago

5 0

Answer:

The x intercept is (12,0)

Step-by-step explanation:

1.5x+4.5y=18 Subtract 1.5 x from both sides of the equation

4.5y=-1.5x+18 Divide both sides of the equation by 4.5

4.5y/4.5=-1.5x/4.5+18/4.5

y=-1/3x+4

The slope is -1/3

The y intercept is (0,4)

To find the x intercept, yet y=0 and solve.

1.5x+4.5y=18

1.5x+4.5(0)=18

1.5x=18 Divide both sides of the equation by 1.5

1.5x/1.5=18/1.5

x=12

kenny6666 [7]3 years ago

3 0

The slope is 1/3. You subtract 1.5x on both sides and you are left with 4.5y = 18-1.5x. Then you divide by 4.5 on both sides and you get y=4-1/3x. The slope is always the number multiplied by x.

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Can someone explain how to solve the system of equation x+y=3 by graphing?

Bess [88]

Answer:

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Step-by-step explanation:

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3 years ago

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Anni [7]

Probability ( a flowering plant or fruit plant) is $\frac{13}{30}$ and Probability (neem plant or peepal plant) is $\frac{29}{60}$ .

Step-by-step explanation:

Given,

Number of neem plant = 125

Number of peepal plant = 165

Number of creppers plant = 50

Number of fruit plant = 150

Number of flowering plant = 110

To find the probability ( a flowering plant or fruit plant)

and probability ( neem or peepal)

Formula

P( A or B) = P(A) + P(B)

Probability ( a flowering plant or fruit plant) = $\frac{110}{600} + \frac{150}{600}$

= $\frac{260}{600}$ = $\frac{13}{30}$

And,

Probability (neem plant or peepal plant) = $\frac{125}{600} +\frac{165}{600}$

= $\frac{290}{600}$ = $\frac{29}{60}$

4 0

3 years ago

People use water to cook, clean, and drink every day. An estimate of 19.4% of the water used each day is for cooking. If a fam

andreev551 [17]

Answer:

350 gallons

Step-by-step explanation:

100/19.4 = 5.15463917526

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3 years ago

Which compound inequality could be represented by the graph? -5 4 -3 -1 0 4 0 X5 3 or x>-1

AveGali [126]

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8 0

3 years ago

What is the maximum value of the objective function, P, with the given constraints?

maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

$P=20x+35y$

Constraints,

$x+y \leq 12$

$5x+y \leq 20\\x \geq 0\\y \geq 0$

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

$P=20x+35y$

Point (0,0)

$P=20(0)+35(0)=0$

$P=20x+35y$

Point (0,12)

$P=20(0)+35(12)=420$

Point (2,10)

$P=20(2)+35(10)=40+350=390$

Point (4,0)

$P=20(4)+35(0)=80$

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0

3 years ago