What does this mean? Answer? -2| x|

Use substitution to solve the system. x=3y+5 5x-4y=14 ______________ x= y=

nataly862011 [7]

So what you do is go 5(3y+5)-4y=14 which equals 15y+25-4y=14 which turns into 11y+25=14 than you move the 25 over which equals 11y=-11 so y=-1 then you enter -1 in for y which looks like 5x-4(-1)=14 than you solve that which is 5x+4=14 than you move the 4 over and you get 5x=10 than x=2

x=2
y=-1

8 0

3 years ago

Tom has just signed for a loan that contains an acceleration clause. How does this clause affect the terms of the loan?

Delicious77 [7]

Answer:

C.If Tom cannot pay the loan, the bank can demand that he pay the remaining balance of the loan in full.

Step-by-step explanation:

An acceleration clause is a contract provision that allows a lender to require a borrower to repay all of an outstanding loan if certain requirements are not met.

7 0

2 years ago

A house has decreased in value by 26% since purchased if its current value is 185,00 what was its value when it was purchased

Elodia [21]

The answer is 23,310 because it’s right

6 0

3 years ago

Suppose some country had an adult population of about 46 million, a labor-force participation rate of 75 percent, and an unemplo

Rus_ich [418]

Answer:

31.74 million people were employed.

Step-by-step explanation:

The unemployment rate is the number of unemployed people divided by the size of the labor force.

So the first step to solve this problem is finding the size of the country's labor force.

Suppose some country had an adult population of about 46 million, a labor-force participation rate of 75 percent.

So the size of the country labor force is:

0.75 * 46 million = 34.5 million people.

Unemployment rate of 8 percent. How many people were employed?

This means that 100 - 8 = 92 percent of people were employed. Remembering, this considers only the labor force, of 34.5 million people. So

0.92 * 34.5 million = 31.74 million

31.74 million people were employed.

5 0

2 years ago

Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl

GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane $n=(-2,-2,1)$ , then r will have the next parametric equations:

$x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda$

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

$-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3$

Substitute the value of $\lambda$ in the parametric equations:

$x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\$

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

$d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u$

7 0

3 years ago

What does this mean? Answer?-2| x|