All categories

2 years ago

Use elimination method to solve the system of equations choose the correct ordered pairs 3x-4=-30 3x+2y=6

Mathematics

1 answer:

DiKsa [7]2 years ago

4 0

The answer is C(-2, 6).

I think you forgot the y in the first equation (with the -4.

You might be interested in

Local extreme Value for each of the Following A) F(x)=x^² - 4x² +5

kobusy [5.1K]

Answer:

max{x²-4x²+5} = 5 at x = 0

Step-by-step explanation:

1. Find the critical numbers by finding the first derivative of f(x), set it to 0 and solve for x.

$f'(x)=0$

We get:

$f(x) = -3x^2+5\\f'(x) = -6x\\-6x = 0\\x = 0$

So the critical number is x = 0.

2. Evaluate the first derivative by plugging in the critical number and see if the derivative is positive or negative on both sides:

$f'(x)$ is positive when the x < 0 (for example: -6*(-1)=+)

$f'(x)$ is negative when the x > 0 (for example: -6*(1)=-)

Therefore, you have a local maximum.

Now just get the Y value by plugging in the critical number in the original function. $f(0)=5$

local maximum is (0,5)

4 0

1 year ago

Eduardo está pensando en un número que esta entre 1 y 20,y que tiene exactamente 5 factores.en que número esta pensando

lorasvet [3.4K]

Eduardo esta pensando en el numero 16. El numero 16 tiene 5 factores que son, (1, 2, 4, 8, 16)

7 0

3 years ago

How many angles is in a hexagon

andrezito [222]

A hexagon has Six sides

8 0

2 years ago

Read 2 more answers

Please help me i dont understand <br> x - 9x + 3 +8x -3

stiv31 [10]

Answer:

Step-by-step explanation:

Collect the like terms!

x-9x+8x+3-3

Now simplify,

-8x+8x+0

0+0

Answer = 0

4 0

2 years ago

Read 2 more answers

. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum

Drupady [299]

Answer:

$r=1.05\ \text{ft}$

$h=2.12\ \text{ft}$

$20.91\ \text{ft}^3$

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = $7.35\ \text{ft}^3$

$V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}$

Surface area is given by

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}$

Differentiating with respect to radius we get

$\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}$

Equating with zero we get

$0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05$

$\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0$

So, the value of the function is minimum at $r=1.05$

$h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12$

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

$A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3$

The minimum surface area is $20.91\ \text{ft}^3$ .

8 0

3 years ago