Consider the system of equations.
2.+y=0
- 3x + 4y= 22
How do you solve the system of equations with Cramer's rule?
Drag a value or determinant expression into each box to correctly
solve the system using Cramer's rule.
Answers
I've arranged the tiles into the correct positions, and wrote in the final result for each x and y.
The basic idea is to divide determinants as the vertical bars indicate (they aren't absolute value bars).
In each denominator is the determinant of the matrix [tex]\begin{bmatrix}2 & 1\\-3 & 4\end{bmatrix}[/tex] which are the coefficients of the left hand side of each original equation given to you.
-------------
The numerators are a slight variation of this matrix. The x determinant will have you replace the first column with 0 & 22 getting [tex]\begin{bmatrix}0 & 1\\22 & 4\end{bmatrix}[/tex] which helps figure out the x solution. The y solution is similar as well, but we replace the y column instead of the x column. So that explains the [tex]\begin{bmatrix}2 & 0\\-3 & 22\end{bmatrix}[/tex]
After you have the proper determinants set up, you just evaluate each determinant using the formula
[tex]\begin{vmatrix}a & b\\ c & d\end{vmatrix} = a*d - b*c[/tex]
and then simplify the results.
Related Questions
Leo invested $1900 in an account with annually compounded interest. After 3 years, he had $2275 in the account. What was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign.
Answers
Answer:
6.2
Step-by-step explanation:
Use the formula for calculating compound interest PN=P0(1+rk)Nk where r is the unknown, PN=2275, P0=1900, k=1, and N=3. Substitute the values into the formula and simplify.
2275=1900(1+r1)3⋅1
Let's simplify within the parenthesis and the exponent.
2275=1900(1+r)3
Divide both sides by 1900.
22751900=(1+r)3
To isolate the variable, take the cube root of each side.
22751900−−−−−√3=1+r
Subtract 1 from each side to get r by itself.
22751900−−−−−√3−1=r
Simplify for an answer of r≈0.062 which is the interest rate 6.2%.
Help me solve this problem please
Answers
Answer:
b
Step-by-step explanation:
Give the domain and range of each relation. tell wether the relation is a function. Explain.
Answers
Answer:
See below
Step-by-step explanation:
Given relations
Answer to each question below
1..................................
Domain: [0, 4]
Range: [0, 4]
Function? Yes
Explanation: Each input has exactly one output
2..................................
Domain: {8, 9}
Range: {-3, -4, -6, -9}
Function? No
Explanation: Each input has more than one output
3..................................
Domain: {0, 1, 2}
Range: {4, 5, 6, 7, 8}
Function? No
Explanation: Some inputs have more than one output
Diego scored 100 points less than Maria on a game. Maria scored 850 points on the game. Which expression shows the number of points Diego scored?
A. 850+100
B. 850 -100
C. 85+100
D. 85-100
Answers
Answer:
B. 850-100
Step-by-step explanation:
Less than means you should take away (subtract). Since Diego scored less than Maria you are taking the number of points Diego got away from Marias points. So it would be 850 take-away 100, or 850-100.
Explain because i have to show my work please and thank you
Answers
Answer:
D.) [tex]y=19.99x+30[/tex]
Step-by-step explanation:
x represents the hours. The magician charges $19.99 per hour. "Per" means multiplication, so:
[tex]19.99*x[/tex]
[tex]19.99x[/tex]
adding the travel and miscellaneous expense:
[tex]19.99x+30[/tex]
This represents the total charge, represented by y:
[tex]y=19.99x+30[/tex]
:Done
Which are equal to the
product?Check all that apply.
3 2/5 x 1/2
17/5
17/10
1 5/7
1 7/10
3 2/5
Answers
Answer:
17/5x1/2=17/10
Step-by-step explanation:
improper fraction---17/10
(1 7/10)[into mixed fraction
how to solve number 16
Answers
Answer:
T < -19
Step-by-step explanation:
-6 > t + 13 ( neg & neg = positive)
- 6 - 13 > t
-19 > t
What percent of 300 is 67?
Answers
HELP ASAP PLEASE!!
The graph of part of a linear function is shown below. Which of the following represents the
domain of the function?
answer choices in picture
Answers
Answer:
im pretty sure that is choice c
Step-by-step explanation:
Answer:
Choose the correct verb form. Identify the reason for the use of each tense.
1. That's the phone. I WILL ANSWER/AM ANSWERING it.
2. I think he is GOING TO BE/WILL BE happier there.
3.Now that I've got some money I WILL BE BUYING
/AM GOING TO BUY a new PC.
4. WILL YOU WORK/ARE YOU WORKING tomorrow
afternoon?
5 This time next week we ARE TRAVELLING /WILL BE TRAVELLING to Chile.
6. Sorry! I WON'T/AM NOT GOING lie again.
7. He's wearing his T-shirt, shorts and trainers. He
WILL BE PLAYING /IS GOING TO PLAY football.
Where is the mistake she made and explain why please help??????????????
Answers
The first mistake is that she went from 3x-2 to 3x+2. Everywhere you see "3x+2", change it to "3x-2".
Another mistake is we shouldn't use absolute value in this case. This is because we're dealing with an odd number index. In this case, the index of the root in the original equation is 3. Because there isn't any absolute value, we won't have a plus/minus.
So we should have 3x-2 = 8 for the third to last step. That solves to x = 10/3 as the only solution.
how many 1/4 pound burgers can you make from 3 1/2 ponds of ground beef
Answers
Answer:
14
Step-by-step explanation:
If each burger is 1/4 pounds, that means one pound of ground beef makes 4 burgers. There are 3 1/2 pounds, which means 3 pounds makes 12 burgers and 1/2 pounds makes 2 burgers. 12+2=14
Caitlin drew a line 4.3 m long.
How many centimeters long is the line? (1 m = 100 cm)
Enter your answer in the box.
Answers
Answer:
430 centimeters
Step-by-step explanation:
Answer:430
Step-by-step explanation:
If Q(x) = 6x2 - 1, find Q(-7).
Answers
Answer:
[tex] \huge \boxed{Q( - 7) = 293}[/tex]
Step-by-step explanation:
[tex]Q(x) = {6x}^{2} - 1[/tex]
To find Q(-7) , insert the value of x that's - 7 into Q(x). That is for every x in Q(x) , replace it with - 7
We have
[tex]Q( - 7) = 6 ({ - 7})^{2} - 1 \\ = 6(49) - 1 \\ = 294 - 1[/tex]
We have the final answer as
[tex]Q( - 7) = 293[/tex]
Hope this helps you
Dylan is playing with a see-saw on the playground. He puts a piece of tape at specific distances from the center of the see-saw so that there ratio of the distance between the center and the tape and the distance between the center and the right end is always a common fraction. Dylan then records the relationship between the height of the tape and the height of the left end of the see-saw, relative to a neutral position.
Use the pattern you observe in the table below to correctly complete Dylan’s conjectures.
distance from center to tapedistance from center to right end
height of tape
(centimeters)
height of left end
(centimeters)
12
−1
2
12
2
−4
13
−2
6
13
1.5
−4.5
If the tape is placed at 13 of the distance between the center and right end, when the left end is at a height of 18 centimeters, relative to a neutral position, the tape will be at a height of
centimeters, relative to a neutral position.
If the tape is placed at 14 of the distance between the center and right end of the see-saw, then the height of the left end will be
times the height of the tape, relative to a neutral position.
Answers
Answer:
wait is there a pic
if there is i need that
Step-by-step explanation:
3 1/2 x 18
A 61 1/2
B 31 1/2
C 54
D 63
Answers
Answer:
D 63
Step-by-step explanation:
First convert 3 1/2 to a decimal. Then multiply 3.5 by 18.
what is the difference between -4 and 6
Answers
Answer:
-10
Step-by-step explanation:
you just subtract -4 by 6 and get -10
Answer:10
Step-by-step explanation: Because -4 is four numbers away from zero, and Then add that to six.
70.5 rounded to the nearest whole number
Answers
Answer:
71
Step-by-step explanation:
the fractional part is 5 and 5 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get the answer Therefore, we add 1 to the integer part and remove the fractional part to get 70.5 rounded to the nearest whole number which is 71
PLEASE HELP! I WILL MAKE YOU BRAINLIST!
Answers
Answer:
14. B15. BStep-by-step explanation:
14...................................
11 2/3 pages in 15 minutes
35/3 ⇔ 1535/3 ÷ 15 ⇔ 15÷1535/45 ⇔ 17/9 ⇔ 17/9 pages per min
Option B
15....................................
5 2/3 meters in 1/3 hours
17/3 ⇔ 1/3 17 ⇔ 117 meters per hourCorrect option is B
Answer:
14. B
15. B and D
Step-by-Step Explanation:
Question 14:
11 2/3 ÷ 15
35/3 * 1/15
35/45
7/9
Therefore, the answer is B.
Question 15:
We need to divide to find the unit rate. 5 2/3 ÷ 1/3
17/3 * 3/1
51/3
17
Find the length if Farrah walks 1/5 of an hour.
1/5 * 17 = 3 4/5
Therefore, the answer is B and D.
Best of Luck!
Given that f (x) = 4x – 5 and g(s) = 3x, write a function that represents g (f(x)). Show your
work
Answers
In WYMLA there are 60 sixth graders. A mind-blowing 42 thinks that Mr. Strader is the coolest teacher in the world. What percentage of the 6th graders are right, Mr. Strader is the coolest teacher in the world? EXPLAIN IN DETAIL how you would solve this problem and give the answer.
Answers
explanation: you would do
42 divided by 60
which would give you 0.7
then you would multiply 0.7 by 100
which would give you 70.
then place a % sign after 70 which would be
70%
Question in the pic
Answers
Answer:
y= 2/3x -1
Step-by-step explanation:
1. b = -1
2. slope = 2/3
Marco runs 22 miles in four hours. What is his unit rate?
Answers
Answer:
5.5
Step-by-step explanation:
Twelve of the comic books in Rachel's collection are in mint condition. If 6 of her collection is in mint condition, how
many comic books are in her collection?
Which equation can be used to solve the problem above?
O 12-3-1
0-12-1
O - - 12
on-12-13
PLEASE ANSWER ASAP I WILL MARK BRAINLY IF CORRECT
Answers
Answer:
This question makes no sense... It says 12 are in mint condition, then says only 6 are? I'd just say 18? I have no clue what equation to go with though. Sorry.
Step-by-step explanation:
Answer:
"A" is correct.
Sam wanted to find three consecutive even numbers that add up to 84. He wrote the equation k + (k + 2) + (k + 4) = 84. What does k reperesent? a) The least of the three even numbers b) The middle even number c) The greatest of the three even numbers d) The average of the three even numbers.
Answers
Answer:
I may be wrong here, but I think it's C If not then I have no idea ;-;
Step-by-step explanation:
0.000229 into a scientific notation
Answers
Answer: -4
Step-by-step explanation: :\
The sum of interior angles in a triangle are 180 degrees. Angle B and C are congruent. Angle B is twenty less than angle A. Write and solve a system of equations using substitution. Write and solve a system to determine the measure of angles A, B, and C.
Answers
Answer:
[tex]A = \frac{220}{3}[/tex]
[tex]B = \frac{160}{3}[/tex]
[tex]C = \frac{160}{3}[/tex]
Step-by-step explanation:
Given
[tex]A + B + C = 180[/tex]
[tex]B = C[/tex]
[tex]B = A- 20[/tex]
Required
Solve for A, B and C
The equation binding A, B and C have been written out (above)
Substitute C for B in [tex]A + B + C = 180[/tex]
[tex]A + B + B = 180[/tex]
[tex]A + 2B = 180[/tex]
Substitute A - 20 for B
[tex]A + 2(A - 20) = 180[/tex]
[tex]A + 2A - 40 = 180[/tex]
[tex]3A - 40 = 180[/tex]
Solve for 3A
[tex]3A = 180 + 40[/tex]
[tex]3A = 220[/tex]
[tex]A = \frac{220}{3}[/tex]
Solve for B in [tex]B = A- 20[/tex]
[tex]B = \frac{220}{3} - 20[/tex]
[tex]B = \frac{220 - 60}{3}[/tex]
[tex]B = \frac{160}{3}[/tex]
Recall that [tex]B = C[/tex]
[tex]C = \frac{160}{3}[/tex]
Given (x - 1)2 = 50, select the values of x.
x = -49
X = 51
x= 1+5VE
x-1-52
Answers
Answer:
x = 26
Step-by-step explanation:
(x - 1) 2 = 50
or, 2x - 2 = 50
or, 2x = 50+2
or, 2x = 52
or, x = 52/2
or, x = 26
hence, x = 26
Three more than twice a number is less than negative nineteen. Solve the inequality for the unknown number.
Answers
Answer:
-12.5
Step-by-step explanation:
You wanna do it inverse backwards
-19 divided 2 = -9.5
-9.5 minus 3 = -12.5
Write and solve an equation to answer the following question. The Smith family rented a recreational vehicle for a seven-day vacation. The cost to rent the recreational vehicle was $560 plus $0.50 per mile. How many miles were driven if the total cost was $1350?
a. 790 mi
b. 1580 mi
c. 395 mi
d. 3820 mi
Answers
Answer:
1580 miles
Step-by-step explanation:
We can represent the total cost for the rental with the equation d=560+0.5m where d is the cost and m is the miles driven. We know this equation works as 560 is the fixed cost, and it costs $0.5 per mile, and in math, "per" means multiplication.
Now we can solve for m as we know that d=1350 in this case.
Solving we get:
1350=560+0.5m
790=0.5m
1580=m
Thus, they drove 1580 miles.
Determine the difference in area between circle A and circle B
Answers
[tex]π \times ({15})^{2} - π \times ({6})^{2} = [/tex]
[tex]π \times ( {15}^{2} - {6}^{2}) = π \times (225 - 36) = \\ [/tex]
[tex]189π[/tex]