Solve the following system of equations using an inverse matrix. You must also indicate the inverse matrix, A^{-1},A
−1, that was used to solve the system. You may optionally write the inverse matrix with a scalar coefficient.

−3x−2y=−8
−6x−5y=−7

A1=[ ? ] x= ? y=?



Answers

Answer 1

Answer:

x-intercept(s):  

(

8

3

,

0

)

y-intercept(s):  

(

0

,

4

)

Step-by-step explanation:

Answer 2

The x-intercepts are (83, 0), and the y-intercepts are (0, 4). Matrixes, like numbers, have reciprocals. In the world of matrices, this reciprocal is known as a "inverse matrix."

What is the inverse matrix?

The concept of a matrix's inverse is a multidimensional generalization of the concept of a number's reciprocal: just as the product of a number and its inverse equals one, the product of an identity matrix and a square matrix equals one.

A A-1 = A-1 A = I because the identity matrix I is the inverse of a matrix. An invertible matrix is one that has a non-zero determinant and can have its inverse determined. Finding the inverse of a 2x3 matrix is impossible because it is not a square matrix.

Response: (8 3, 0) are the x-intercepts.

(0, 4 ) are the y-intercepts.

Therefore,

-3 x-2 y=-8

Add 2 y to both sides

-3 x-2 y+2 y = -8+2 y

Simplify

[tex]$$-3 x=-8+2 y$$[/tex]

Divide both sides by -3

[tex]$$\frac{-3 x}{-3}=-\frac{8}{-3}+\frac{2 y}{-3}$$[/tex]

Simplify

[tex]$$x=-\frac{-8+2 y}{3}$$[/tex]

Response: (8 3, 0) are the x-intercepts.

(0, 4 ) are the y-intercepts.

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Related Questions

If 2/3x - 1 = 4, then x =?

PLEASE HELP

Answers

x = 15/2

Step-by-step explanation:

Step 1: Add 1 to both sides.

2/3x − 1 + 1 = 4 + 1

2/3x = 5

Step 2: Multiply both sides by 3/2.

(3/2) * (2/3x) = (3/2) * (5)

x = 15/2

On Tuesday, 14 students handed in a permission slip for a field trip. On Thursday, twice as many students handed in their permission slip than on Tuesday. On Friday, an additional 7 students turned in their permission slip. If 50 students received a permission slip, how many students did NOT turn it in?
15 students
0 students
1 student
49 students

Answers

Answer:

15

Step-by-step explanation:

14+14=28+7=35-50=15

Hope that helped (your free to ask any question or if you are confused)

A random sample of students were asked which award they would most like to win (Olympic Gold, Academy Award, or Nobel Prize), and asked which portion of the SAT they performed better on, between the Math and the Verbal. The results are summarized in the table below. Use this table to answer the following question.

1. If P(M) is the proportion of students who did better on the Math portion of the SAT who prefer winning an Olympic Gold, and P(V) is the proportion of students who did better on the Verbal portion of the SAT who prefer winning an Olympic Gold. What is the standard error of the distribution of the difference of proportions?

Answers

Answer:

Well would of them just ask how and when they will get it?

Step-by-step explanation:

So sorry if this is wrong.

Evaluate x divided 4 for x=48

Answers

Answer:

12

Step-by-step explanation:

x/4

Let x=48

Replace x in the expression

48/4

12

Can someone please help me I will mark u brilliant

Answers

Answer:

11

Step-by-step explanation:

just count all the Xs from 4 and up

The ratio of hot dogs to hamburgers on a barbeque table is 6:4. If there are 36 hot dogs on the table then how many hamburgers must be there?

Answers

Answer: 24

Step-by-step explanation:

6 hot dogs for every 4 hamburgers

6*6 = 36

36 hot dogs for every ? hamburgers

since 6*6 equals 36, do 4*6

4*6 = 24

so 24 hamburgers

I can’t guarantee that this is right but I think it is

hopefully it’s helpful

Vance invests S15,000 in an account that pays 3 1/4% simple interest for 72 months. Assuming Vance doesn't
make any other deposits or withdrawals, how much will be in his account after 72 months?

Answers

Answer:

$15487.5

Step-by-step explanation:

Using the formula for calculating the amount as;

Amount = Principal + Interest

Principal = $15,000

Get the interest

Interest = PRT/100

Interest = 15000*13/4 * 3/100 (72months = 3years)

Interest = 195000/400

Interest = $487.5

Amount = 15000 + 487.5

Amount= $15487.5

Hence he will have $15487.5 in his account after 72months

can someone please explain to me this image?

Answers

Answer:

Complementary

Step-by-step explanation:

How many integers in the interval [100, 999] are not divisible by 14?

Answers

Answer:

     69

Step-by-step explanation:

Numbers between 100 to 999 which are divided by 13

104,117,130............................988  .

So a=104, d=13 and,an=988  

an=a+(n−1)d  

988=104+(n−1)⋅13  

88413+1=n  

n=69

is -95 an irrational number

Answers

Answer:

I think it is????

Answer:

No, it is not.

An irrational number is real number that cannot be expressed as a ratio of two integers. The number pi or π is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractions.

(-2)(-2)(-2)(-2) in exponential form

Answers

Answer:

[tex] (-2)^{4} [/tex]

Step-by-step explanation:

(-2)(-2)(-2)(-2)

The base is -2.

There are 4 factors of -2, so the exponent is 4.

[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]

You roll a die. Find the probability that you roll an even number or a number less than 5.​

Answers

Answer:

4/6

Step-by-step explanation:

Identify the terminal point for a 30° angle in a unit circle.
O A (1,
O R. (4,4)
O c. (9.12)
OD. (1,7)
SUBMIT

Answers

Answer:

The coordinates for the point on a circle of radius at an angle of are At the radius of the unit circle, 1, serves as the hypotenuse of a 30-60-90 degree right triangle, as shown in (Figure).

Step-by-step explanation:

A 4-column table with 2 rows. Column 1 has entries Sample 1, Sample 2. Column 2 is labeled Apple with entries 40, 43. Column 3 is labeled Orange with entries 64, 63. Column 4 is labeled Banana with entries 21, 19.
A survey was conducted asking people about their favorite fruit. Which inferences about the population are true based on the data? Check all that apply.
About twice as many people prefer apples as prefer bananas.
Bananas are preferred much less frequently than apples or oranges.
Exactly twice as many people prefer oranges as prefer apples.
Exactly three times as many people prefer bananas as prefer oranges.
The samples show little variation for each fruit.

Answers

Answer:

A, B, E

example

all of them are correct give them both a brainly

Mei hikes 3.2 miles on Saturday and 4.8 miles on Sunday. About how far does Mei hike in all?

Answers

Answer:

8 miles

Step-by-step explanation:

3.2 + 4.8

2 - 5


put explanation

Answers

Answer: -3

Step-by-step explanation: well there is a pretty easy explanation for this because what you pretty much do is you put the answer around by doing 5-2 and just put a negative since the smaller number is in the front.

The answer is… 2 - 5 = -3
This is simple math so regularly since you will get a negative if it is puted as 2 - 5. So you might as well do the simple math 2 - 5, than as soon as you get your answer than just put a negative sign since it isn’t in the basic number scale, but instead on the negative number scale.

.Please help with question 21

Answers

Answer:

y=500x+20000

Step-by-step explanation:

what is the answer to this? (freckle)

Answers

Answer:

hola :]

Step-by-step explanation:

find the simple interest on 10000 from 1 July to 12 september 2007 at 5% per year calculate the interest​

Answers

Answer:

Simple interest: 83.33, Final amount: 10083.33

Step-by-step explanation:

you dont get a explanation >:)

The public relations officer for a particular city claims the average monthly cost for childcare outside the home for a single child is $600. A potential resident is interested in whether the claim is correct. She obtains a random sample of 14 records and computes the average monthly cost of this type of childcare to be $589 with a standard deviation of $40. Perform the appropriate test of hypothesis for the potential resident using . Approximate the p-value for the test in (a).

Answers

Answer:

Since the calculated value of z= -1.0198 does not lie in the critical region  z = ± 1.96 the null hypothesis is accepted and it is concluded that the  average monthly cost for childcare outside the home for a single child is $600.

P- value  ≈ 0.307823 which supports the null hypothesis .

Step-by-step explanation:

The null and alternate hypotheses are

H0: u = $600   the average monthly cost for childcare outside the home for a single child is $600.

against the claim

Ha:  u ≠ $600 the average monthly cost for childcare outside the home for a single child is  not equal to $600.

The significance level is set at 0.05

3) The critical region is  z =  ±1.96

4) The test statistic

Z=x- u /s/√n

z= 589-600/40/√14

z= -11/10.7681

z= -1.0198

6) Conclusion

Since the calculated value of z= -1.0198 does not lie in the critical region  z = ± 1.96 the null hypothesis is accepted and it is concluded that the  average monthly cost for childcare outside the home for a single child is $600.

P- value  ≈ 0.307823 which supports the null hypothesis .

kevin scored 11 points in his last basketball game. if kevin made two more free throws (one point each) then two-point shots, how many of each shot did he make? choose the graph that best depicts this problem.

Answers

Answer:

Kevin made 5 free throws and 3 two-point shots.

Step-by-step explanation:

Given that Kevin scored 11 points in his last basketball game, to determine if Kevin made two more free throws (one point each) than two-point shots how many of each shot did he make, the following calculation must be performed:

11 x 1 + 0 x 2 = 11

6 x 1 + 4 x 2 = 14

5 x 1 + 3 x 2 = 11

Therefore, Kevin made 5 free throws and 3 two-point shots.

Answer:

Step-by-step explanation:

Graph

Question 2
Salve for then in the measure of are GF

Answers

Answer:

Step-by-step explanation:

I'm pretty sure that GF is showing, as the interior angle  x -65,  it's just kinda hard to see

135-65 = 70° = GF

d more than 342 is the same as 90


write this sentence as an equation.​

Answers

Answer:

342 + D = 90

Step-by-step explanation:

We can deduce the following from the statement;

- D is added to 342 so as to make it greater.

- The resulting value is the same as 90 i.e equal in value to 90.

Translating the word problem into an algebraic expression, we have;

342 + D = 90

Which expression is equivalent to 128?


Answers

Answer: 2^3 x 2^4

Step-by-step explanation:

The value of the exponential expression is A = 2³.2⁴ = 128

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the value of the exponential equation be A

Now , the first expression is p = 2³

The value of p = 8

Now , the second expression is q = 2⁴

The value of q = 16

From the laws of exponents , we get

p.q = 2³.2⁴ = 2³⁺⁴

The value of A = 2⁷ = 128

Hence , the exponential equation is 2⁷ = 128

To learn more about exponents click :

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Heeeelllpp pleaseeeee

Answers

Answer:

A. 12.7

Step-by-step explanation:

If line a is parallel to line b, therefore,

(10x - 13.3) = (8x + 12.1) => alternate interior angles theorem

Solve for x

10x - 13.3 = 8x + 12.1

Collect like terms

10x - 8x = 13.3 + 12.1

2x = 25.4

Divide both sides by 2

x = 25.4/2

x = 12.7

Picture included-11 points-second time

Answers

Answer:

b = 12

Step-by-step explanation:

c^2 = a^2 + b^2

Solving for b,

b^2 = c^2 - a^2

= (13)^2 - (5)^2

= 169 - 25

= 144

or

b = 12

ill give brainlist to first answerrrrrrrrrrrrrrrr

Answers

Answer:

18

The areas of a rectangle is lxw. You simply multiply by 3 x 6 and get this answer.

Help I don’t understand.

Answers

Answer:line grapg$

Step-by-step explanation:

ion understand either broski

if the sum of x and 3 is ten ,what is the value of x​

Answers

Answer: 7

Step-by-step explanation:

[tex]x+3=10 \\ \\ x=7[/tex]

Help with the Pythagorean Theorem

Answers

Answer:

A=5

B=3

C=5.83

A^2+B^2=C^2

Answer:

5.83

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

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