Ask question

Ask question

All categories

2 years ago

14

Solve the system using any method. x-3y + 2z = 4 -x+4y + 6 = 40 5x - 3y - 10z = -32

1 answer:

GalinKa [24]2 years ago

3 0

1. x=4+y-2z (move all terms not containing x to the right side of the equation) ; y= -4x + x + 2z (isolate) ; z= 2 - x/2 + y/2 (isolate)
2. y= 1/4x + 17/2 (slope intercept form)
3. x= -32/5 + 3y/5 + 2z ; y=32/3+5x/3-10z/3 ; z= 16/5+x/2 - 3y/10 (isolate the variable by dividing each side by factors that don’t contain variable)

You might be interested in

a family of twenty purchased tickets to the country fair.tickets for adult cost $8 and tickets for children cost $4.if the total

Nonamiya [84]

Answer:

5 adults

15 children

5x8=40

15x4=60

40+60=100

3 0

2 years ago

Find the least common denominator! Photo added! Just need a quick answer for now! Thanks in advance!

shusha [124]

Step-by-step explanation:

to be honest I'm not sure how to do it

6 0

2 years ago

I don’t understand if anyone can explain?

Zigmanuir [339]

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

6 0

2 years ago

When does a barbershop Quartet have 16 legs

77julia77 [94]

Haha two chairs will hive eight more legs to the quartet.

5 0

2 years ago

A large on-demand video streaming company is designing a large-scale survey to determine the mean amount of time corporate execu

Diano4ka-milaya [45]

Answer:

$n=(\frac{2.262(3)}{0.25})^2 =736.79 \approx 737$

So the answer for this case would be n=737 rounded up to the nearest integer

Step-by-step explanation:

We have the following info given:

$\bar X = 12$ the sample mean

$s = 3$ the sample deviation

$n = 10$ represent the sample size

The degrees of freedom are given by:

$df =n-1 =10-1=9$

The margin of error is given by this formula:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =0.25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{t_{\alpha/2} s}{ME})^2$ (5)

The confidence level is 95% and the critical value for this case would be given by $t_{\alpha/2}=2.262$ , replacing into formula (5) we got:

$n=(\frac{2.262(3)}{0.25})^2 =736.79 \approx 737$

So the answer for this case would be n=737 rounded up to the nearest integer

7 0

2 years ago