the augmented matrix for a system of linear equations is. determine the value of k for which the system has infinitely many solutions: a) Okt 2 b) Ok=2 c) Od 0 d) Ok2 e)ky -2.ko 0 None of the above

Answers

Answer 1

Therefore, None of the given options correspond to a row of zeros in the augmented matrix, so the value of k for infinitely many solutions cannot be determined

The augmented matrix for a system of linear equations can be used to determine the value of k for which the system has infinitely many solutions. To do this, we need to perform row operations on the matrix until we get it into row echelon form or reduced row echelon form. If we end up with a row of zeros, then the system has infinitely many solutions. Looking at the options given, it appears that none of them correspond to a row of zeros in the augmented matrix. Therefore, we cannot determine the value of k for which the system has infinitely many solutions based on the given options.

Therefore, None of the given options correspond to a row of zeros in the augmented matrix, so the value of k for infinitely many solutions cannot be determined.

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Related Questions

A certain sum of money gives $ 510 as compound interest 12¹/₂ % per annum for 2 years. Find the simple interest on the same sum of money at the same rate for the same period of time.

Answers

Answer:

$127.5

Step-by-step explanation:

Given data

P = $510

r= 12.5%

t= 2 years

The expression for simple interest is

SI= PRT/100

SI= 510*12.5*2/100

SI= 12750/100

SI= 127.5

Hence the Simple interest is $127.5

Determine which points are a solution to the system of inequalities.

the answer choices are:
a. (0,0)
b. (4,1)
c. (3,-2)
d. (2,0)
e (4,-4)
f (1,3) ​

Answers

Answer:

I think it's e 4 -4

Step-by-step explanation:

hope this helps

The answer to this question is e

find the vertex of the quadratic function f(x) = (x-4) (x+2)

Answers

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The x- coordinate of the vertex is at the midpoint of the zeros.

Given

f(x) = (x - 4)(x + 2)

Find the zeros by letting f(x) = 0 , that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then

[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into f(x) for corresponding y- coordinate

f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9

Vertex = (1, - 9 )

A flower vase bought for Rs. 72 and sold for Rs. 63. Find the loss percent.​

Answers

Answer:

12.5% is loss....

hope it helps.

Answer:

the lost percentage is 14.28%

Step-by-step explanation:

1 - (72÷63) = -0.1428 x 100% = -14.28 %

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

A 15 foot ladder leans against a house with the base of the ladder 4 feet from the house. How high, to the nearest foot, up the wall will the ladder reach? ​

Answers

Answer:

height of house to ladder reach is 14 ft

Explanation:

Given data

ladder = 15 ft

base = 4 ft

to find out

height of house

solution

we know this is triangle shape so we apply here

so we consider here x is ladder and y is base and z is height

so

by pythagoras theorem

z² + y² = x²

so here

z² = x² - y²

put value

z² = 15² - 4²

z² = 209

z = 14.45 = 14

so height of house to ladder reach is 14 ft

Step-by-step explanation:

The ladder and the ground form a right triangle. Use the Pythagorean Theorem to find the other leg of the triangle.

a^2 + b^2 = c^2

a^2 + 4^2 = 15^2

a^2 + 16 = 225

a^2 = 209

a = 14.5 feet

solve the inequality -3x + 6 > -2​

Answers

Answer:

x<8/3

Step-by-step explanation:

Your answer is x is less than 8 over 3

Answer:

Answer is d

Step-by-step explanation:

x<8/

subtract (2y + 3x-x²) from (5x²-y2-2x)​

Answers

Answer:

6x² - 5x - y² - 2y

Step-by-step explanation:

We have

5x² - y² - 2x - (2y + 3x - x² ) ← distribute parenthesis by - 1

= 5x² - y² - 2x - 2y - 3x + x² ← collect like terms

=  6x² - 5x - y² - 2y

4.
The area of the figure formed by joining the mid-points of the adjacent sides of a rhombus
with diagonals 16cm and 12cm is​

Answers

Answer:

48 cm²

Step-by-step explanation:

The diagonals are in a proportion of 4:3, thus sides of a Pythagorean Triple; they cross at a right angle. The figure formed by joining the midpoints of adjacent sides is a rectangle with sides half the lengths of the original diagonals. 8×6=48

hhhheeeepppp pleas e e e e e e e e e e e e e e branlist

Answers

Answer:

27

Step-by-step explanation:

a+b/2 times h

thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid

so 6 on the bottom and 3 on the top

add those and it equals 9 then divide by 2 gives us 9/2

then the height would be 6

so we multiply 9/2 by 6 giving us 54/2

simplified equals 27 so ur answer would be 27 units squared

Answer:27

Step-by-step explanation:

A dairy facility has a bulk milk tank that is shaped like a right circular cylinder. The
tank has a height of 12 feet and a diameter of 216 inches.

Answers

Answer:336

Step-by-step explanation:

12

216 = 336

Alec is thirsty and wants to know how much milk can fit in his favorite mug. His mug is a cylinder and has a radius
(r) of 2 inches and a height (h) of 8 inches. The formula for the volume of a cylinder is given.
V = trh
How much milk can Alec's mug hold?

Answers

Answer:

i think it is v=8 love

Step-by-step explanation:

Answer:

It's 10

Step-by-step explanation:

Dana is buying Grandparents Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends
4
5
of that on a coffee mug for her grandfather. How much money does Dana spend in all?

Answers

Answer:

$24.75

Step-by-step explanation:

4/5 of 13.75 = 11

11+13.75= 24.75

Dana  spends $24.75 in all.

What is an Equation ?

An equation is a mathematical statement that equates two algebraic expression by an equal sign.

The data given in the question is

Dana spends $13.75 on a teacup for her grandmother

She spends 4/5 of that on a coffee mug for her grandfather.

The total amount  she spends is given by $x

The equation becomes

x = 13.75 + (4/5) * 13.75

x = $24.75

Therefore she spends $24.75 in all.

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1/8 = 2/5 times X . What is X

Answers

Answer: 5/16

Step-by-step explanation:

Answer:

0.0125

Step-by-step explanation:

1/8=2/5x

Divide by 2/5 on each side of the equation. X=0.0125. 0.0125=1/80. The last option.

HELP PLEASE!! I WILL GIVE BRAINLIEST
Kevin went to the nursery and bought a 5 ft tall tree. After planting the tree, Kevin made a table to record the
height, h, of the tree, t years after it was planted. Verbally describe the relationship between h and t. (make an equation to illustrate the relationship between the height of the tree
and the number of years since it was planted. How tall will the tree be in 8 years?)

Answers

77 feet I according to my calculations :)

What is the name for a savings account in which money must stay deposited for a specific amount of time? A. Traditional savings account B. Certificate of deposit C. Money market account D. Retirement account​

Answers

Answer:

B. Certificate of deposit

Step-by-step explanation:

in traditional savings account you can take the money out anytime (usually up to 5 times a month)

in retirement account​ (well this could include 401k ,etc..)

Answer: B

Step-by-step explanation:

Otis is packing two gift boxes in a shipping carton. The rest of the space in the carton will be filled with packing pellets. What is the volume of the space that needs to be filled with packing pellets?

Answers

Answer:

[tex]V_3 = 1916in^3[/tex]

Step-by-step explanation:

Given

See attachment for gift items and the shipping carton

Required

Determine the volume of the empty space

First, we calculate the volume of the carton.

[tex]V = LWH[/tex]

From the attachment

L = 16; W =11 and H =13

So:

[tex]V = 16*11*13[/tex]

[tex]V = 2288[/tex]

Next, calculate the volume of the blue wrap

[tex]V = lwh[/tex]

From the attachment

l = 9; w =9 and h =2

So:

[tex]V_1 = 9 * 9 * 2[/tex]

[tex]V_1 = 162[/tex]

Next, calculate the volume of the pink wrap

[tex]V = lwh[/tex]

From the attachment

l = 6; w =5 and h =7

So:

[tex]V_2 = 6*5*7[/tex]

[tex]V_2 = 210[/tex]

The volume of the rest space (V3) is then calculated as:

[tex]V_3 = V - V_1 -V_2[/tex]

[tex]V_3 = 2288 - 162 -210[/tex]

[tex]V_3 = 1916[/tex]

Hence, the rest volume is 1916in^3\

A line is represented by the equation y = 3x – 7. Which statement about the line is TRUE?

A.
The y-intercept is 7.

B.
The line has a positive slope.

C.
The point (1, 4) lies on the line.

D.
This line is parallel to the line whose equation is y = 2x – 7.

Answers

Answer:

B

Step-by-step explanation:

because the slopes is 3.

five litres of paint costs R575 .Work out the cost of fifteen litres of paint


Answers

Answer:

first of all learn how to spell liters

1725

Step-by-step explanation:

15 liters of pain will cost Rs.225

What is multiplication?

Multiplication is a process of adding a number repetitively. Mathematically, we can write -

m = a x b

Given is that the 5 liters of paint costs Rs. 75.

5 liters of paint costs Rs. 75.

1 liter of paint will cost Rs. (75/5)

15 liters of pain will cost Rs. (75/5 x 15) = 75 x 3 = Rs. 225

Therefore, 15 liters of pain will cost Rs.225

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melitón se comió 3 rebanadas de una pizza pequeña de seis rebanadas Cómo se representa una fracción​

Answers

Respuesta:

[tex] \frac{3}{6} [/tex]

Explicación:

El numerador es lo que melitón se comió...

Y el denominador son las porciones (rebanadas) en que esta dividida la pizza.

the sum of the number and 5 is 12

Answers

Answer:7

Step-by-step explanation: x+5=12 solve for x = 7

Answer:

"a number" = 7

Step-by-step explanation:

let "a number" = x.

x + 5 = 12

Isolate the variable x. Note the equal sign, what you do to one side, you do to  the other. Subtract 5 from both sides.

x + 5 (-5) = 12 (-5)

x = 12 - 5

x = 7

7 is your answer.

~

what is the radius of a circle with the ratio 1:4 when the smaller one is 12cm​

Answers

Answer:

48

Step-by-step explanation:

1 to 4 = 12 to ?

multiply the small one by 4 to get the bigger one

Step-by-step explanation:

1:4

12:x

1=4

12=x

cross multiply

x=4×12

x=48

Plz help with all 3 questions i will give Brainliest

Answers

Answer:

Step-by-step explanation:

8) entire cost of meal = m

m = 14.68 + 14.68

  = 29.36

Solution $29.36

9) Let Elijah's height  = h

h + 6 = 48

      h = 48 - 6

  Solution 42 inches

10)     x - 15 = 20

              x = 20 + 15

Solution 35 ounces

PLEASE HELP RN
If cot theta = 8/7, which equation represents cotangent theta? cotangent theta = StartFraction StartRoot 15 EndRoot Over 8 EndFraction cotangent theta = StartFraction StartRoot 15 EndRoot Over 7 EndFraction cotangent theta = StartFraction 7 StartRoot 15 EndRoot Over 15 EndFraction cotangent theta = StartFraction 8 StartRoot 15 EndRoot Over 15 EndFraction

Answers

Answer:

The second option, [tex]\frac{\sqrt{15}}{7}[/tex]

Step-by-step explanation:

Edge '21

The equation for cot θ is √15/7. Therefore, option B is the correct answer.

Given that, cosec θ=8/7.

We need to find the ratio of cot θ.

What is the ratio of cot θ?

The ratio of cot θ is cot θ=Adjacent/Opposite.

As we know, cosec θ=Hypotenuse/Opposite.

So, 7²+x²=8²

⇒x=√15

Now, cot θ=√15/7.

The value of cot θ is √15/7. Therefore, option B is the correct answer.

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Eight minus a number divided by three is greater than or equal to eleven

Answers

Answer:

Step-by-step explanation:

8-x/3>=11 is the equation, and the answer is:

x<= -9, so any number less than -9 is correct.

The solution is x ≤ -9

What are Inequality Equations?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number be x

8 - x/3 ≥ 11

Subtracting 8 on both sides , we get

-x/3 ≥ 3

Multiplying by 3 on both sides , we get

-x ≥ 9

Interchanging the sign on both sides , we get

x ≤ -9

Hence , the solution is x ≤ -9

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y = -[tex]\frac{4}{5}[/tex]x - 2

Which equation best describes the graph?

A. y = -[tex]\frac{4}{5}[/tex]x + 2

B. y = [tex]\frac{4}{5}[/tex]x + 2

C. y = [tex]\frac{5}{4}[/tex]x - 2

D. y = -[tex]\frac{5}{4}[/tex]x + 2

Answers

I think C is the correct answer

Abby got a summer job. The table shows how much money she will earn based on the number of hours she works.
Hours Worked 20 30 40 50
Dollars Earned 150 225 300 375
Based on the table, how much money will she earn if she works 65 hours?
O A $450.00
B. $475.50
C. $487.50
D. $525.00

Answers

Answer:

C

Step-by-step explanation:

She earns $487.50

375+75+37.5=487.5

Answer: c

Step-by-step explanation

First find the unit rate

$150 divided by 20 = $7.50

So she's earning $7.50 an hour

$7.50 times 65 hours = $487.50

So the correct answer is C

This is for today help!!!!

Answers

Answer:

Part A 73  Part B 113

Step-by-step explanation:

A rectangle has a length of 2x+7 and a width of 3x+8. Write and simplify an expression for the perimeter of that rectangle.

Answers

A perimeter is a sum of lengths of sides of a lateral.

[tex]2x+7+3x+8=5x+15[/tex].

The terrace of a house is rectangular in shape with a length of 10m and a width of 5m. Find the volume of
rainfall collected on the terrace if its height is 1m, Express in liter.

Answers

Answer:

Step-by-step explanation:

Volume = Area of the base times the height

V = length * width * height

V = 10 * 5 * 1

V = 50 m^3

Now change it to liters

50 * 1000 = 50000 liters^3

A meal costs $30 before tax and tip.
There is a 7% sales tax. After the tax, a 20% tip is
added.
What is the total after tax and tip?

Answers

Answer:

$38.1

Step-by-step explanation:

Tax: 30*0.07 = 2.1

Tip: 30*0.2 = 6

Total: 30 + 2.1 + 6 = 38.1

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