MATHEMATICS HIGH SCHOOL

Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.

Answers

Answer 1

Answer:

Answer:

case 1

3x-7y=9

-4x+5y=1

using a graph tool

the solution is the point (-4,-3)------------------> one solution

case 2

y=6x-2

y=6x-4

two parallel lines

the system has no solution---------------> zero solution

case 3

-5x+y=10

-25x+5y=50

is the same line----------------> infinite solutions

Answer 2

Answer:

Answer:

work is shown and pictured

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Let f(x)=2x-3 and g(x)= -x^2-1 find ( g o f) (x)

Answers

$f(x)=2x-3\ \ \ and\ \ \ g(x)= -x^2-1\n\n( g \circ f) (x)=g\bigg(f(x)\bigg)=g\bigg(2x-3\bigg)=-(2x-3)^2-1=\n\n=-(4x^2-12x+9)-1=-4x^2+12x-9-1=-4x^2+12x-10$

$g \circ f=-(2x-3)^2-1=-(4x^2-12x+9)-1=\n =-4x^2+12x-9-1=-4x^2+12x-10\n$

Mary deposits R400 every three months into a bank account earning interest at 16% per year, compounded quarterly. The approximate time that it will take Mary to save R40000 is

Answers

Answer:

The approximate time that it will take Mary to save R40000 is 29 years

Step-by-step explanation:

A= p(1+r/n)^nt

t = log(A/P) / n[log(1 + r/n)]

A = R40000

n = 4

P = R400

r = 16%

t = log(A/P) / n[log(1 + r/n)]

= log(40,000 / 400) / 4{log(1+0.16/4)}

= log(100) / 4{log(1+0.04)}

= 2 / 4{log(1.04)}

= 2 / 4(0.0170)

= 2 / 0.068

= 29.41

t = 29.41 years

Approximately 29 years

The approximate time that it will take Mary to save R40000 is 29 years

Multiply.1. $(2x^3y^3)(5x^2y^8)$ 2. $9b^3(8b^4)(-b)$

3. 3y²(y²-2y+3) 4. (x + 3)(x-2)

Answers

$1. \n \n(2x^3y^3)(5x^2y^8) =2\cdot 5\cdot x^(3+2)\cdot y^(3+8) =10 \cdot x^(5)\cdot y^(11) \n \n 2.\n \n 9b^3(8b^4)(-b) =-9\cdot 8\cdot b^(3+4+1) =-72\cdot b^(8)$

$3.\n \n 3y^2(y^2-2y+3)=\n \n=3y^2\cdot y^2-3y^2\cdot 2y+3y^2\cdot 3 =\n \n =3y ^(2+2) -6y ^(2+1) +9y^2 =\n \n= 3y ^(4) -6y ^(3) +9y^2$

$4.\n \n (x + 3)(x-2)=x^2-2x+3x-6 = x^2+x-6$

Rotating a triangle by 50 degrees will change the measures of the exterior angles by _________.A. -50 degrees
B. 50 degrees
C. 0 degrees

Answers

c it will not change its still a triangle

What is 2/3 times 6 equal?

Answers

Answer:

Step-by-step explanation:

$(2)/(3)$ x $(6)/(1)$ = $(12)/(3\n)$ simplified is 4

82. complete the check register for rob anderson. it has a previous balance of $175.40. He wrote check number 312 for $24.39 on November 22 to the barkber shop. The bank made an automatic transfer (AT) of $65.21 on November 25 to pay is cable bill. He made a deposit of $381.22 on November 27. What is the new balance in rob's account?

Answers

Answer:

$466.62

Step-by-step explanation:

Balance = $175 - $24.39 - $65.21 + $381.22

Use your calculator to add or subtract each new term as indicated:

$175 - $24.39 = $150.61

Next, subtract $65.21: $150.61 - $65.21 = $85.40

Finally, add $381.22: $85.40 + $381.22 = $466.62

on November 27 the new balance in rob's account became $466.62.

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