Find the function rules.

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

9514 1404 393

Answer:

  >180° (more than 180°)

Step-by-step explanation:

Angles are classified as ...

It seems that we're looking at definitions:

  obtuse : >90° :: reflex : >180°

Vanessa: a dime = 10 cents = 0.10

A penny = 1 cent = 0.01

6 x 0.10 = 0.60

2 x 0.01 = 0.02

Total = 0.60 + 0.02 = 0.62

Joachim : a dollar = 1.00

3 x 0.10 = 0.30

5 x 0.01 = 0.05

Total = 1.00 + 0.30 + 0.05 = 1.35

Jimmy: total = 5.00 + 0.07 = 5.07

Total of all 3: 0.62 + 1.35 + 5.07 = $7.04

This is less than $8 so they don’t have enough.

They need: 8.00 - 7.04 = $0.96 more

Answer:they need more money

Step-by-step explanation: they need 96 more cents

Answer:

Opposite angles are right angles.

Step-by-step explanation:

Answer: rational number

Step-by-step explanation:

Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written

Answer:

Step-by-step explanation:

Given that a does not equal +-b and a^2-b^2/a+b=12, find a-b.

PLEASE HELP NEED ASAPPPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR

Answer:

Team 1

Step-by-step explanation:

I think it is team 1 because their whiskers go through the whole graph and team 2 only goes from 68 to 76

Answer:

team 1

Step-by-step explanation:

Answer/Step-by-step explanation:

3. Volume = l*w*h = 1*3*1 = 3 ft³

Surface area = 2(lw + wh + lh) = 2(1*3 + 3*1 + 1*1) = 14 ft²

4. V = 216 cm³

w = 6 cm

l = 12 cm

h = ?

V = l*w*h

Plug in the given values and find h

216 = 12*6*h

216 = 72*h

216/72 = h

h = 3

Surface area = 2(lw + wh + lh)

= 2(12*6 + 6*3 + 12*3) = 252 cm²

5. V = 120 m³

h = 4 m

l = 5 m

w = ?

V = lwh

Plug in the given values

120 = 5*w*4

120 = 20*w

120/20 = w

w = 6 m

Surface area = 2(lw + wh + lh)

= 2(5*6 + 6*4 + 5*4)

= 148 m²

6. V = 726 in³

h = 11 in

w = 33 in.

l = ?

V = lwh

Plug in the values

726 = l*33*11

726 = l*363

726/363 = l

l = 2 in

Surface area = 2(lw + wh + lh)

= 2(2*33 + 33*11 + 2*11)

= 902 in²

Answer: 270

Step-by-step explanation:

90x3=270

Answer:

I mean

Step-by-step explanation:

Just multiply 90 by 3 since it says that it's THREE times as long. Btw you would get 270! So this should help! Well I guess you have to add another 90 to get the area of the closet. Don't quote me on that.

Answer:

Easy! The answer is 100!

Count how many cubes are in each row, which is 10. Count how many stacks are there, which is also 10. 10 times 10 = 100!

Step-by-step explanation:

Answer:

r

Step-by-step explanation:

Answer:

$0.71

Step-by-step explanation:

Find the cost with sales tax

9.99(1.03)

= 10.29

Subtract this from 11

11 - 10.29

= 0.71

So, Bianca will get $0.71 back in change

Answer: 0.71 cents

Step-by-step explanation:

9.99x0.03=0.2997

9.99+0.2997=10.2897 rounds to 10.29

11-10.29=0.71

Answer:

y - 8 = 3(x - 6)

Step-by-step explanation:

Point slope-equation formula:

y - y1 = m(x - x1)

y - 8 = 3(x - 6)

Answer:

-8/7 is your simplified answer :)

Step-by-step explanation:

Have a nice day <3

Answer:

how do i draw the graph

Step-by-step explanation:

Answer:

I attached my sketch of it. Notice how as the y value goes down 1, the x value goes to the right 2.

I would appreciate Brainliest but no worries.

Answer:

359.1887600604 so D should be right    

Answer:

3x+2=17 is the equation and x=5

Step-by-step explanation:

Answer:

Equation: 2 + 3x = 17

x = 5

Step-by-step explanation:

2 more than means: 2 +

3 times a number means: 3x

Is 17 means: = 17

Combine them all together:

2 + 3x = 17

Find x:

2 + 3x = 17

3x = 17 - 2

3x = 15

x = 5

Answer:

5:3

Step-by-step explanation:

step one: reduce the fraction

(since 5/3 is a reduced as it can get we can 'skip' this step)

step two: rewrite as a ratio

5/3  

=5 : 3

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

First Blank (4) Second Blank (3)

Step-by-step explanation:

The square in the middle is the base and if you count the side units you will have 4 on each side. From the square the triangle points up 3 units on the graph.

Hope this helps : ) Mark Brainliest

Answer:

while looking ata number for example 1234, 1 is the thousands place 2 is the hundreds place 3 is the tenths place and 4 is the ones place

Step-by-step explanation:

1 is the thousands place because 1234 is a number consisting of 1000 so 1 in 1234 is the thousnads place and if we keep going youll see that its pretty easy from there

Answer:

Each child will receive [tex]\frac{1}{15}[/tex] of a pound

Step-by-step explanation:

[tex]\frac{1}{5*3}[/tex]

Answer:

25.65

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

12209034563 will be your answer.

Step-by-step explanation:

just add it.

Answer:

WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.

12209034563

more info can be giving on usecalculator.com

Step-by-step explanation:

Answer:

26 degrees :)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Add e

Number of pounds of a powder that can be stored in the container is 2 pounds.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Given that,

Number of pounds of garlic powder placed in container = 2/3 pound

This is equal to one third of the total space in the container.

So, we can write this as,

Number of pounds of powder in 1/3 space = 2/3 pounds

Number of pounds of powder in 1 full space = 2/3 ÷ 1/3

                                                                          = 2/3 × 3 (by reciprocal rule)

                                                                          = 2 pounds

Hence 2 pounds can be stored in the full container.

To learn more about Fractions, click on the link :

https://brainly.com/question/8482939

#SPJ3

Through the use of the data given, the histogram can be classified as the histogram is not symmetrical.

The histogram is not symmetrical if it is or has skewed distribution.

This is said to be when a distribution is said to not have any mirror-imaging. and as such, through the use of the data given, the histogram can be classified as the histogram is not symmetrical.

Learn more about histogram from

https://brainly.com/question/16417064

#SPJ1

Answer:

Step-by-step explanation:

If two lines have different slopes, they cannot be the same line. If they share a y-intercept, that means they cross the y -axis at the same y value.  If they share an x value and corresponding y value, they intersect at that point, in this case their y-intercept.

Hope this helped!!

Answer:

50-50 on both because there 3 even and 3 odd numbers

Answer:

50% chance of either or 1/2

Step-by-step explanation:

50% of either

Look a die has 12 sides

6 numbers are odd and the other 6 even

If you randomly roll a die you will have 6/12 chances of landing on a even number and a 6/12 chance of landing on a odd number

now 6/12 can be simplified to 1/2 which is 50%

Hope that helps!