All categories

3 years ago

3x-2y=10 3x-2y=14 solve using substitution or elimination. What's the answer?

Mathematics

2 answers:

CaHeK987 [17]3 years ago

8 0

I hope this helps you

-3x+2y= -10

3x-2y=14

-3x+2y+3x-2y= -10+14

0+0= 6

0=6 false it's not inconsistent

sammy [17]3 years ago

6 0

Let's do elimination since the left sides have the same coefficients.

3x - 2y = 10
3x - 2y = 14

To eliminate, subtract the second equation from the first by multiplying the equation by -1.

3x - 2y = 10
-3x +2y = -14
------------------
0 + 0 = 10 - 14
0 = -4

Hey that's not true! 0 does not equal -4, which means there is no solution to the two equations.
You can confirm this by graphing. The equations do not intersect and therefore there will be no solution.

You might be interested in

6. In a toy factory, 200 wooden closed cylinders of diameter 35 mm and height 7 cm have to be painted. What is the total surface

Pachacha [2.7K]

Answer:

6) About 19,244.75 square centimeters.

7) About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

$\displaystyle \text{SA}=2\pi r^2+ 2\pi rh$

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

$\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2$

Then the total surface area for 200 cylinders will be:

$\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2$

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

$\displaystyle V=\pi r^2h$

Since r = 1.2 and h = 6.4:

$\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3$

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

$\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3$

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

$\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895$

Thus, approximately 4895 containers can be filled.

5 0

3 years ago

Read 2 more answers

Need help plzzzz will medal and fan

andriy [413]

The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3

Let's check all functions.
1. The function f(x)=x²+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.

2. f(x)=x²-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.

3. f(x)=x²+2x when evaluated with -3 gives you the value of 3
 Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.

4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.

6 0

4 years ago

Read 2 more answers

Isabelle has $1520 in her bank account and makes automatic $760 monthly payments on a home loan. If she stops making deposits to

Leto [7]

Answer:

After 2 months

Step-by-step explanation:

Isabelle has $1520 in her bank account and she makes automatic $760 monthly payments on a home loan.

If she stops making deposits to that account, then a monthly $760 will be deducted from her account.

After 1 month the balance in her account will become $[ 1520 - 760 ] = $760 and then after 2 months the balance will become $[ 760 - 760 ] = $0

Therefore, after 2 months her account will have zero balance. (Answer)

6 0

4 years ago

. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use x to

DanielleElmas [232]

Answer:

$135

Step-by-step explanation:

id k how to explain but since he saves 5 dollars he basically has 15 dollars in his bank account u just need to multiply 15 with however many weeks he saves up for

5 0

3 years ago

W + (-2) = -18 for w. thinks for helping

Katen [24]

Answer:

w = -16

Step-by-step explanation:

w + (-2) = -18

-18 - (-2) = w = -16

w= -16

Check your work:

-16 + (-2) = -18

4 0

3 years ago

Read 2 more answers