Given the following system of equations, type the target variable matrix for y.

5x-y=6
2x+7y=9

Answers

Answer 1

The solution of the simultaneous equations using target matrix are; x = 51/37 and y = 33/37

How to use matrix to solve simultaneous equations?

The target variable is defined as the variable whose values are modeled and predicted by other variables.

We are given the simultaneous equations as;

5x - y = 6

2x + 7y = 9

In matrix form, it is expressed as;

5 -1 6

2 7 9

row 2 = row 2 + row 1 * 7

This gives us;

37   0   51

Thus;

x = 51/37

Plugging in 51/37 for x in eq 1 gives;

5(51/37) - y = 6

Multiply through by 37 to get;

5*51 - 37y = 37*6

255 - 37y = 222

-37y = 222 - 255

y = 33/37

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Related Questions

what is the area of 5m, 17m, 8m, and 5m, the shape is a kite

Answers

Answer:

It can't be a kite. A kite has 2 pairs of equal sides.

Step-by-step explanation:

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

<CEB and BED are adjacent angles ehat is the side common to the two angles?​

Answers

Step-by-step explanation:

<CEB and < BED are adjacent angles then

The common side to the two angles is

EB

4x-5y=11 and 8x-5y=27

Answers

Answer:

y = -1 , x = 4

Step-by-step explanation:

(4x - 5y = 11) x8

(8x - 5y = 27) x4

32x - 40y = 88

- - -

32x - 20y = 108

[0. 20y = -20] divide both by 20

y = -1

8x - 5y = 27

8x - 5(-1) = 27

8x = 27 + 5

8x = 32 ( divide both by 8)

x = 4

1.99 ÷ 3 =
2. 125 ÷ 5 =
3. 288 ÷ 36=
4. 540 ÷ 12=
5. 999 ÷ 111=
pls answer ngayon ko na po ito ipapasa explain the answer​

Answers

Hope I helped:)
1. 33
2. 25
3. 8
4. 45
5. 9
1. 33
2. 25
3. 8
4. 45
5. 9

what is 2x2x2x2+2+2+2divitide by 6

Answers

Answer:

3.6 repeating or 3 and 2/3

Step-by-step explanation:

I did the work on a calculator.

Answer:

f be it is right

Step-by-step explanation:

okay that is it

Help please I give brainliest

Answers

Answer:

interest is $105

total is $455

Step-by-step explanation:

350 * .03 = 10.5

10.5*10 = 105

interest is 105

350 +105 = 455

Interest earned: $105

The balance of the account: $455

(I just need one more brainliest then I get the rank ACE)

Ralph receive money from his family members for his graduation. He decides he wants to spent no more than $120 on movies to bring with him to college.

Answers

What’s the question?

What is the slope of the red and blue line

Answers

Answer:

red=-1/4 blue= 4/1

Step-by-step explanation:

rise/run

Which data set is the most spread from its mean?
14, 26, 24, 28
22, 16, 18, 36
22, 28, 20, 22
21, 19, 27, 25

Answers

Answer:

Tha mean is 23 which means there is no answer:)

14, 26, 24, 28: still 23

22, 16, 18, 36:STILL 23

22, 28, 20, 22: 23

21, 19, 27, 25: STILL 23

Answer:

the answer is B

Step-by-step explanation: each number on a c and d is 7-5 away from 23 but b has 36 which is 13 away from 23 and in all is the farthest plz mark brainlest

pls guys tell me the answer pls

Answers

Answer:

Height = 7m

Step-by-step explanation:

Hope that helps!

Answer:

7m

Step-by-step explanation:

Simon mixes dried fruits and nuts to make a trail mix that he sells at the farmer's market. The dried fruits cost $6 per pound. The nuts cost
$2 per pound. It costs Simon $40 to make 12 pounds of trail mix.
Which system of equations can be used to find the number of pounds, x, of dried fruits and the number of pounds, y, of nuts that Simon used
to make 12 pounds of trail mix?

Answers

Answer:

d

Step-by-step explanation:

find the sum of (x^2+6x-5)+(2x^2+15)

Answers

Answer:

3x²+6x+10 is your answer

Step-by-step explanation:

(x^2+6x-5)+(2x^2+15)

open bracket

x²+6x-5+2x²+15

add or subtract common

3x²+6x+10

Find the surface area of the rectangular prism. 8 yd 3 yd 3 yd pls help

Answers

Answer:

114

Step-by-step explanation:

add the areas of all 6 faces

the formula is A= 2(l*w)+2(l*h)+2(h*w)

A=2(8*3)+2(8*3)+2(3*3)=114

answer: 114yd^2

Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,500 houses. The subdivision was built in 1983. A sample of 120 houses is selected randomly and evaluated by an appraiser. If the mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, what is the probability that the sample average is greater than $229,500?

Answers

Answer:

0.0268 = 2.68% probability that the sample average is greater than $229,500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single house:

The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]

Sample:

Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]

What is the probability that the sample average is greater than $229,500?

This is 1 subtracted by the pvalue of Z when X = 229.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]

[tex]Z = 1.93[/tex]

[tex]Z = 1.93[/tex] has a pvalue of 0.9732

1 - 0.9732 = 0.0268

0.0268 = 2.68% probability that the sample average is greater than $229,500

How many terms are in the expression below?
17 – (5n = 4) + 8%

Answers

Answer: 4

Step-by-step explanation:

(Can someone please answer my math question)

What type of chart would best be used for continuous data?
Group of answer choices

Pareto chart

Histogram

Dot plot

Pie chart

Answers

histogram charts are best used for continuous data

what is the solution set of x+4/2x-1 <0

Answers

Answer: x=1/3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x−1<0

Step 2: Add 1 to both sides.

3x−1+1<0+1

3x<1

Step 3: Divide both sides by 3.

3x/3 <1/3

x/1/3

if f(x)= x/2-3 and g(x) = 2x^2+x-6, find (f+g)(x)

Answers

Answer:

2x² + 3x/2 - 9

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

= x/2 - 3 + 2x² + x - 6

= 2x² + x/2 + x -3 -6

= 2x² + 3x/2 - 9

The area of a triangle varies jointly with the lengths of its base and height. A triangle with a base of 10 ft and a height of 4 ft has an area of 20 square ft. Find the area of a triangle with a base of 3 ft and a height of 8 ft.

Answers

Answer:

12 square ft

Step-by-step explanation:

base = 3ft. and height = 8ft. area of triangle = 1/2 ×base × height = 1/2 ×3 × 8 = 24 /2 = 12 square ft.

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First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required

Answers

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)


[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.​

Answers

Answer:

5

Step-by-step explanation:

A ray can intersect a circle in __________.

1. a line segment
2. a line
3. a ray
4. a point

Answers

Answer:

a line segment.

Step-by-step explanation:

a line segment

A ray can intersect a circle at points on the circumference. Option D is correct.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
A ray can intersect a circle at a maximum of two points,
The line which intersects the circle at two points is called the secant to the circle, and the line that intersects the circle at one point is called the tangent two the circle.

Thus, a ray can intersect a circle at points on the circumference. Option D is correct.


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I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12

4 3/4 -> 4 9/12

1/3 -> 4/12

Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall

The accompanying data set lists the numbers of children of world leaders. Use the data to construct a frequency distribution using six classes and to create a frequency polygon. Describe any patterns.
LOADING... Click the icon to view the data set.

Answers

Step-by-step explanation:

bla bla bla.....................

pls help me...........

Answers

Answer:

3,480

Step-by-step explanation:

After 4 years she had to repay 3,480, i did this one before and got it right hope it helped have a nice day!

Correct option :

[tex]\color{plum}\tt\bold{(b) \: \$3480 }[/tex]

Steps to derive correct option :

Money Maria borrowed = $3000

Percentage of simple interest per annum = 4%

Time she took to repay the money she borrowed = 4 years

We know that :

[tex]\color{hotpink}\tt \: Simple \: interest = \color{plum}\frac{principal \times rate \times time}{100} [/tex]

In this case :

Principal = $3000

Rate = 4%

Time = 4 years

Which means. the simple interest :

[tex] = \tt \frac{3000 \times 4 \times 4}{100} [/tex]

[tex] = \tt \frac{48000}{100} [/tex]

[tex]\color{plum} =\tt\$ 480[/tex]

Thus, the interest she has to pay = $480

We know that :

[tex]\color{hotpink}\tt \: Amount \color{plum}= principal + interest[/tex]

Then, the Amount Maria has to pay :

[tex] =\tt 3000 + 480[/tex]

[tex]\color{plum} =\tt \$3480[/tex]

Thus, the amount Maria has to repay after 4 years = $3480

Therefore, the correct option is (b) $3480

If a man is driving at a rate of 50 km per hour, how many kilometers will he travel in 30 minutes? A. 25 km B. 30 km C. 150 km D. 180 km

Answers

Answer:

A. 25 km

Step-by-step explanation:

1 hour = 60 minutes

30 minutes is a half of an hour, therefore

50 / 2 = 25

Answer:

a, 25km

Step-by-step explanation:

i dont need brainliest but thx

im jamming to rick astley right now its so fun

Given quadrilateral ABCD, find the values for x and y.




x = 4, y = 6


x = 34, y = 56


x = 1067, y = 223


x = 627, y = 1109

Answers

Answer:

x = 4, y = 6

Step-by-step explanation:

Consider the triangle BEC.

∠BEC=112 (vertically opposite angles)

∠EBC=∠ECB (BEC is an isosceles triangle)

All the angles in a triangle add up to 180, so:

∠BEC+∠EBC+∠ECB=180

112+(7x+6)+(7x+6)=180

14x=180-112-6-6

x=56/14=4

Consider the triangle CED

∠CED=68 (lies on a straight line with 112, angles on a straight line add up to 180)

∠EDC=∠ECD (CED is an isosceles triangle)

All the angles in a triangle add up to 180, so:

∠CED+∠EDC+∠ECD=180

68+(9y+2)+(9y+2)=180

18y=180-68-2-2

y=108/y=6

The value of x and y for quadrilateral ABCD is at x = 4 and y = 6. Option A is correct.

What are quadrilaterals?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

Given quadrilateral ABCD,

Consider the ΔBEC.

∠BEC = 112 (vertically opposite angles)

∠EBC=∠ECB

ΔBEC is an isosceles triangle because BE = EC.

the sum of angles of a triangle is 180°,

∠BEC + ∠EBC + ∠ECB = 180°

112 + (7x + 6) + (7x + 6) = 180°

14x = 180 - 112 - 6 - 6

x = 56/14

x = 4

Consider the ΔCED

∠CED = 68

lies on a straight line with 112°, and angles on a straight line add up to 180°.

∠EDC = ∠ECD

ΔCED is an isosceles triangle because DE = CE.

the sum of the angles of a triangle is 180°

∠CED + ∠EDC + ∠ECD = 180°

68 + (9y + 2) + (9y + 2) = 180°

18y = 180 - 68 - 2 - 2

y=108/18

y = 6

Hence values of x = 4 and y = 6.

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is 8.2 and 5.15 proportional

Answers

I think so but if I am wrong I am so sorry about that

There are more than one answer help me and I give brainilest

Answers

Answer:

Equivalent to a), b), and d). It is NOT equivalent to c).

Step-by-step explanation:

6m + 12 is also equivalent to a) 3(2m+4) because when you distribute, it's 6m + 12. It is also equivalent to b) 3m + 8 + 4 + 3m because if you add them together, you get 6m + 12. It is not equivalent to c) but is do d) 4m + 2(m + 6) cause you use the distributive property then add. I hope this helped and please mark brainliest!

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