Answer:
a) 43 - 15
b) 28
HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS
Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
I like the view
Subtract: x2 + 2x + 1 – (x – 3)
Therefore, the answer is 3x - 2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Which type of laboratory is not required to have coved floors (where the floor runs continuous for the wall for a few inches)
The type of laboratory that is not required to have coved floors is a BSL2.
Safety in laboratories is measured through the Biosafety Level scale. This scale evaluates how much protection do people working in the laboratory need to avoid any risks while working with pathogens or toxins.
This scale goes from 1 to 4 and the 4 level represents labs in which extremely dangerous pathogens are studied, and therefore labs with the highest safety protocols.
In this context, coved floors are not required for labs classified in Biosafety level 2 because in these labs pathogens have only a moderate risk, therefore some precautions such as the coved floors are not required.
Learn more about labs in: https://brainly.com/question/14428286
Two cars leave an intersection at the same time. One drives east while the other travels south at 25 miles per hour faster than the other. After 2 hours, the cars are 250 miles apart. How fast is the southbound car driving?
Step-by-step explanation:
Pythagoras :
c² = a² + b²
c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.
after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.
x² + (x + 50)² = 250²
x² + x² + 100x + 2,500 = 62,500
2x² + 100x = 60,000
x² + 50x = 30,000
x² + 50x - 30,000 = 0
the solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 50
c = -30,000
x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =
= (-50 ± sqrt(2500 + 120000)/2 =
= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =
= -25 ± 175
x1 = -25 + 175 = 150 miles
x2 = -25 - 175 = -200 miles.
negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.
therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).
and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).
Brody worked 8.5 hours at Food Lion this week and made $78.20. Based on the number of hours Brody worked and how much he was paid, how much money does Brody make per hour
Answer:
1 hour = $9.2
Step-by-step explanation:
The question says that:
Brody makes $78.20 in 8.5 hours.
So,
8.5 hours = $78.20
We need to find 1 hour pay.
So, divide both sides of the above equation by 8.5
8.5 / 8.5 hours = $78.20 / 8.5
1 hour = $9.2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Plz help ToT I'm horrible at math
Answer: 126
Step-by-step explanation:
A=2(wl+hl+hw)
Anna saved $20 in a jar each month for 2 1/2
years. She spent 75% of her savings on a computer. How much money did Anna have left in the jar?
Answer:
20*2.5=50
50*0.75=37.5
Hope This Helps!!!
Answer:270
Step-by-step explanation:
Write a compound inequality that the graph could represent.
Answer:
k < -4 or k > 13
Step-by-step explanation:
Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.
Hopes this helps.
Find the m, b, and write the equation for the following graph:
Answer:
y=3
Step-by-step explanation:
m=0
b=3
7m 28cm ÷8= something cm
Answer:
4cm
Step-by-step explanation:
it this the answer you were looking for?
Answer:
91cm
Step-by-step explanation:
7m to cm =700m
28cm+700cm=728cm
728cm/8=91cm
X=-2y,x-y=6 solve by substitution show all work
Answer:
y=-3
x=3
Step-by-step explanation:
x=-2y
x-y=9
substitute -2y for x in the second equation
you get:
-2y-y=9
combine like terms
-3y=9
divide by -3 on both sides
y=-3
Which expression is equivalent to 5 EXPONENT 4 X5 EXPONENT NEGITIVE 4
Answer:
1Step-by-step explanation:
5⁴ * 5 ⁻⁴ = 5⁴⁻⁴ =5⁰ =1or
5⁴ * 5 ⁻⁴ = 5⁴ / 5⁴ =1write one in factor form with solutions 3,-1,-3i?
Answer:
Factored form: [tex](x-3)(x+1)(x^2+9)[/tex]
Expanded form: [tex]x^4-2x^3+6x^2-18x-27[/tex]
Step-by-step explanation:
[tex](x-3)(x+1)(x^2+9)[/tex]
[tex](x^2-2x-3)(x^2+9)[/tex]
[tex]x^4+9x^2-2x^3-18x-3x^2-27[/tex]
[tex]x^4-2x^3+6x^2-18x-27[/tex]
[tex]x-3=0[/tex] has a solution of [tex]x=3[/tex]
[tex]x+1=0[/tex] has a solution of [tex]x=-1[/tex]
[tex]x^2+9=0[/tex] has a solution of [tex]x=\pm 3i[/tex]
PLZ HELP
Use the distributive property to remove the parentheses.
Answer:
I don't know if i did this correctly because i can't find my notes but i hoped i helped.
Step-by-step explanation:
Solve for C: C-9(greater than or equal too sign)9
Answer:
[tex]{ \tt{C - 9 \geqslant 9}} \\ \\ { \tt{C \geqslant 9 + 9}} \\ \\ { \rm{answer}} : \: { \tt{C \geqslant 18}}[/tex]
Jenna has 38 coins. She uses 19 coins to buy a notebook. How many coins does she have left?
Explain how you can solve and check this problem.
Answer: 19 coins
Step-by-step explanation:
38-19=19
To check, take any one of the nubers and replace it with x, and when you solve for x. you'll get that number back. For example:
Let x represent the amount used to buy a notebook
19+x=38
x=38-19
x=19
There are 36 boys for every 54 girls
Answer:
2 : 3 is ur ratio
Step-by-step explanation:
Answer:
2 : 3 is ur ratio
Step-by-step explanation:
An 18-foot ladder is leaning against a wall. The bottom of the ladder is 4.5 feet from the base of the wall.
How high up the wall does the ladder reach? Round your answer to the nearest tenth, if necessary.
A
13.5 feet
B
18.6 feet
o
С
22.5 feet
D
17.4 feet
Answer:
d
Step-by-step explanation:
use Pythagoras theorem
that is a²+b²=c²
so 4.5²+b²= 18²
rearrange to b²=18²-4.5²
so you get b=
[tex] \sqrt{303.75} [/tex]
that is equal to 17.42842506
what cubed is equal to 1000?
Answer:
10
Step-by-step explanation:
Here is a photo of the question it self. I hope it makes it easier to understand
Thank you for anyone who helps with the question
Answer:
a. R>S
b. It means that R is to the right of S
c. City R is warmer
Step-by-step explanation:
Need help quickly please
Step-by-step explanation:
just want your ponit hahahaHA
PLEASE HELP ASAP! I WILL GIVE BRAINLIEST JUST PLEASE HELP
Answer:
38cm squared
Step-by-step explanation:
Can someone help me with this one I would appreciate it very much!!
Answer:
12.5 pounds
Step-by-step explanation:
16 ounces = 1 pound
200 ounces = 1 × 200/16 = 12.5 pounds
how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
8.9k
Step-by-step explanation:
Perimeter is the area around the object.
1.8k - 5 + 3.5 + 6.1k + k + 1.5
Combine like terms:
1.8k + 6.1k + k = 8.9k
-5 + 3.5 + 1.5 = 0
Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k
Hope that helps
Answer:
Step-by-step explanation:
What is the slope of the line that passes through the points shown in the table?
X Y
-1 -5
0 -3
1 -1
2 1
How many ink cartridges can you buy with 225 dollars if
one cartridge costs 15 dollars ?
Answer:
The answer is 15!
Step-by-step explanation:
225 divided by 15 is 15! Hope this helps! :)
DOM
The weight of a car is modeled with the polynomial 3x2 – 25x + 204. The weight of a truck is modeled with the polynomial x² + 17x + 40
What polynomial represents the total weight of the car and truck?
Answer:
4x^2-8x+244
Step-by-step explanation:
7) Sarawong spent half of his weekly allowance on candy. To earn more money his parents let him wash the dog for $6.10. What is his weekly allowance if he ended with $11.40?
Answer:
$10.60
Step-by-step explanation:
Sarawong ends with $11.40, and we need to find his weekly allowance by working backward. First, we learn that he earned $6.10 of that total amount of money by washing the dog, so we can subtract the two values:
11.4 - 6.1 = 5.3
So, before washing the dog, Sarawong had $5.30. But he only received this after spending half of his weekly allowance, so $5.30 must be half of his weekly allowance. If we multiply $5.30 by 2, we should be able to find his weekly allownce.
5.3 × 2 = 10.6
Now, we can check our work. First, he spends half of his weekly allowance on candy. Half of 10.6 is 5.3, so he now has $5.30. Then, he earns $6.10 more by washing the dog. 5.3 + 6.1 = 11.4, which is the ending value. So, our work was correct! Hopefully that's helpful. :)
Which equation represents the function f(x) = (1. 6)x after it has been translated 5 units up and 9 units to the right? g(x) = (1. 6)x 5 â’ 9 g(x) = (1. 6)x 5 9 g(x) = (1. 6)x â’ 9 5 g(x) = (1. 6)x 9 5.
The equation that represents they function f(x) = (1.6)^x after it has been translated 5 units up and 9 units to the right is;
g(x) = [(1.6)^(x - 9)] + 5
We are given the function;
f(x) = (1.6)^x
Now,when we translate a function 9 units to the right, it means that we will subtract 9 from the x unit to give;
g(x) = (1.6)^(x - 9)
Now, when we translate it 5 units upwards, it means we are adding 5 to f(x). Therefore, we now have;
g(x) = [(1.6)^(x - 9)] + 5
Read more on translation of graphs at; https://brainly.com/question/11468584