All categories

3 years ago

What is the solution of the system 3x + 2y =18 Y= -2/3x + 12

Mathematics

2 answers:

Pani-rosa [81]3 years ago

6 0

3x = 18-2y

x= 6 - 2/3y

then substitute in the second equation

Y= -2/3x + 12

y=-2/3(6-2/3y)+12

y= 72/5

then substitute y= 72/5 in the first equation x= 6 - 2/3y

then x = -18/5

laiz [17]3 years ago

4 0

Answer:

3x + 2y =18

 Y= -2/3x + 12

3x + 2(-2/3x+12) = 18

3x + (-4/3x+24) = 18

3x + -1 1/3x +24 =18

1 2/3x +24 = 18

1 2/3x = -6

5/3x = -6

x = -3.75

Step-by-step explanation:

You might be interested in

What is the slope of the line on the graph? Enter your answer in the box.

slava [35]

Y= mx+B is the formula

5 0

2 years ago

Read 2 more answers

How do you simplify the following equation?<br><br> √64x²

mr_godi [17]

$\sqrt{64 x^{2} }$
same thing as:
$\sqrt{8*8*x*x}$

there are two 8's and two x's in there so they can come out to give you the answer 8x

4 0

3 years ago

Select the correct answer.

Sonbull [250]

Answer:

The graph is stretched vertically and shifted to the left 1 unit.

4 0

2 years ago

Let f(x)= - 3x - 1 and g(x)=x2 + 2.<br> Find (fog)(-6).

Leona [35]

Answer:(Fog)(-6)=29

Step-by-step explanation:

(fog)=-3(2x+2)-1

=-6x-6-1

=-6x-7

(fog)(-6)= -6(-6)-7

=36-7

=29

6 0

2 years ago

A new experimental strain of pepper plants was being studied to estimate how much fruit one plant would produce in a typical gro

zmey [24]

Answer:

58.9% produced produced peppers weighing between 13 and 16 pounds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 15

Standard Deviation, σ = 1.75

We are given that the distribution of weight of peppers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(peppers weighing between 13 and 16 pounds)

$P(13 \leq x \leq 16) = P(\displaystyle\frac{13 - 15}{1.75} \leq z \leq \displaystyle\frac{16-15}{1.75}) = P(-1.142\leq z \leq 0.571)\\\\= P(z \leq 0.571) - P(z < -1.142)\\= 0.716 - 0.127 = 0.589 = 58.9\%$

$P(13 \leq x \leq 16) = 58.9\%$

58.9% produced produced peppers weighing between 13 and 16 pounds.

7 0

3 years ago