Solve the quadratic by taking the square root

Explain why this matrix equation has no solution: A 11 17 −8 13 = 0 0 0 0.

qwelly [4]

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it.

Given to us

A + [11 17 -8 13] = [0 0 0 0]

<h3>What is the value of matrix A?</h3>

We know that the given matrix will give values as zero if the same matrix is been deducted from it, therefore,

A + [11 17 -8 13] = [0 0 0 0]

A = [0 0 0 0] - [11 17 -8 13]

A = [-11 -17 +8 -13]

Thus, the matrix is equal to [-11 -17 +8 -13].

<h3>why this matrix equation has no solution?</h3>

The matrix equation has no solution because the same matrix of equal magnitude and opposite in nature is been added to it, therefore, [11 17 -8 13] is been added to it.

Thus, the sum of the two matrices has no solution.

Learn more about Matrices:

brainly.com/question/11367104

5 0

2 years ago

Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per

Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3>Solution:</h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 - $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

$n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11$

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3>Method 2:</h3>

Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

$n = \frac{848.98}{77.18}$

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0

3 years ago

The height h of a projectile is a function of the time t it is in the air. the height in feet for t seconds is given by the func

alexgriva [62]

Domain means the values of independent variable(input) which will give defined output to the function.

Given:

The height h of a projectile is a function of the time t it is in the air. The height in feet for t seconds is given by the function

$h(t)=-16t^2 + 96t$

Solution:

To get defined output, the height h(t) need to be greater than or equal to zero. We need to set up an inequality and solve it to find the domain values.

$To \; find \; domain:\\\\h(t) \geq0\\\\-16t^2+96t \geq 0\\Factoring \; -16t \; in \; the \; left \; side \; of \; the \; inequality\\\\-16t(t-6) \geq 0\\Step \; 1: Find \; Boundary \; Points \; by \; setting \; up \; above \; inequality \; to \; zero.\\\\t(t-6)=0\\Use \; zero \; factor \; property \; to \; solve\\\\t=0 \; (or) \; t = 6\\\\Step \; 2: \; List \; the \; possible \; solution \; interval \; using \; boundary \; points\\(- \infty,0], \; [0, 6], \& [6, \infty)$

$Step \; 3:Pick \; test \; point \; from \; each \; interval \; to \; check \; whether \\\; makes \; the \; inequality \; TRUE \; or \; FALSE\\\\When \; t = -1\\-16(-1)(-1-6) \geq 0\\-112 \geq 0 \; FALSE\\(-\infty, 0] \; is \; not \; solution\\Also \; Logically \; time \; t \; cannot \; be \; negative\\\\When \; t = 1\\-16(1)(1-6) \geq 0\\80 \geq 0 \; TRUE\\ \; [0, 6] \; is \; a \; solution\\\\When \; t = 7\\-16(7)(7-6) \geq 0\\-112 \geq 0 \; FALSE\\ \; [6, -\infty) \; is \; not \; solution$

Conclusion:

The domain of the function is the time in between 0 to 6 seconds

$0 \leq t \leq 6$

The height will be positive in the above interval.

7 0

3 years ago

Read 2 more answers

What is a percentage increase of 19.50 to 22.50

Inga [223]

To find the percentaje we need to divided the tataol by the amount we end up having.

22.50/19.50=1.15
then we multiply by 100
115%
Then to find the percentaje increase we subtract
115%-100= 15%
So it has an increament of 15%

4 0

3 years ago

What is { 1 + 7 - 6 + 99 }

Igoryamba

1 + 7 - 6 + 99 = 101

Step-by-step explanation:

7 + 1 = 8

8 - 6 = 2

99 + 2 = 101

Hope to be brainliest! #SpreadTheKnowledge

4 0

3 years ago

Read 2 more answers