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3 years ago

15

Select the system of linear inequalities whose solution is graphed.

1 answer:

elixir [45]3 years ago

5 0

Answer:

$y\geq 3x-1$ ; $x+3y\leq 6$

Step-by-step explanation:

we know that

step 1

Find the inequality of the solid line x+3y=6

The solution is the shaded area below the solid line

therefore

The equation of the inequality is

$x+3y\leq 6$

step 2

Find the inequality of the solid line y=3x-1

The solution is the shaded area above the solid line

therefore

The equation of the inequality is

$y\geq 3x-1$

therefore

The system of linear inequalities is

$y\geq 3x-1$ ; $x+3y\leq 6$

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What is the equation in point−slope form of the line passing through (2, 2) and (4, 8)?

MrMuchimi

The answer issss D
I hope this helped u :D

3 0

3 years ago

Cubic yards of concrete will be required for 14 parking lot light pole standards

riadik2000 [5.3K]

Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.

The volume of a cylinder of radius r and height h is given by:

$V = \pi r^2h$

In this problem:

We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus $r = 0.44$ .
Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus $h = 2.67$
14 poles, thus the volume is multiplied by 14.

Then:

$V = 14\pi(0.44)^2(2.67) = 23.17$

23.17 cubic yards of concrete are needed, option D.

A similar problem is given at brainly.com/question/22789697

3 0

3 years ago

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

4 years ago

jodi and laura went out to dinner at their favorite sandwich shop . if their bill w's $21.95 and they wanted to leave a 15% tip

Molodets [167]

Answer:

$3.293

Step-by-step explanation:

You would multiply your total amount, 21.95, by your tip divided by 100, so 0.15. It would look like this: 21.95 x 0.15 = 3.293. Therefore, you would give the waitress a $3.293 tip. I Hope This Helps :)

4 0

3 years ago

Solve equation show all steps what 2x-3x+5=18

PSYCHO15rus [73]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

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Let's solve your equation step-by-step.

$2x-3x+5=18$

Step 1: Simplify both sides of the equation.

$2x-3x+5=18\\2x + -3x + 5 = 18$

$( 2x + -3x ) + ( 5) = 18$ (Combine Like Terms)

$-x + 5 = 18\\-x + 5 = 18$

Step 2: Subtract 5 from both sides.

$-x + 5 - 5 = 18 - 5 \\-x = 13$

Step 3: Divide both sides by -1.

$\frac{-x}{-1} = \frac{13}{-1} \\x = -13$

Answer : $\boxed {x = -13}$

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Have a great day/night!

❀*May*❀

3 0

3 years ago

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