MATHEMATICS HIGH SCHOOL

2x+4y=12 y=0.25x-3 What is the solution to the system of equations?(–1, 8)
(8, –1)
(5,1/2) 0r (1/2,5)

Answers

Answer 1
Answer: { 2 x + 4 y = 12
   y = 0.25 x -3

Arrange equation variables of elimination :

{ 2 x + 4 y = 12
 -0.25 x  + y = - 3

Multiply  ( -0.25 x +y = - 3 )  by 8 :

8y - 2 x =  - 24 

{ 2 x + 4y = 12
  -2x + 8y  = -24
----------------------
        12 y = -12

y = - 12 / 12

y = - 1

For x :

2 x  + 4y = 12

2 x + 4 ( - 1 ) = 12

2 x - 4 = 12

2 x = 12 + 4

2 x =  16

x = 16 / 2

x = 8

x = 8 and y = - 1  =>  ( 8 , - 1 )

Answer b

hope this helps!

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If it is 11:45 a.m., what will the time be 3 hours and 15 minutes later?4:15 p.m.
2:45 p.m.
3:15 a.m.
3:00 p.m.

Answers

If you would like to know what will the time be 3 hours and 15 minutes later, you can calculate this using the following steps:

11:45 a.m. + 3 hours and 15 minutes = 12:00 p.m. + 3 hours = 15:00 p.m. = 3:00 p.m.

The correct result would be 3:00 p.m.

Answer:

300 pm

Step-by-step explanation:

8a2 + 6a = 5
how do I do this?

Answers

8a^2 + 6a = 5 \n \n8a^2 + 6a -5 =0\n \n\Delta = b^(2)-4ac = 6^(2)-4*8* (-5)=36 +160=196\n \na_(1)=(-b-√(\Delta ))/(2a) =(-6- √(196))/(2*8)=(-6- 14)/(16)= (-20)/(16)=- (5)/(4)=-1(1)/(4)\n \na_(2)=(-b+√(\Delta ))/(2a) =(-6+√(196))/(2*8)=(-6+14)/(16)= (8)/(16)= (1)/(2)

Use the lim f(x)-f(a)/x-a to find the derivative. x->a

f(x)=-3x^2-5x+1 and point (1,-7)

Answers

Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11

Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11



at point(1,-7)

Can someone please help me with number one. I’ll give the right answer the brainliest.

Answers

Answer:

1 yes 2 no 3 yes

Step-by-step explanation:

the functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)? the y-intercept of f(x) is equal to the y-intercept of g(x). the y-intercept of f(x) is equal to 2 times the y-intercept of g(x). the y-intercept of g(x) is equal to 2 times the y-intercept of f(x). the y-intercept of g(x) is equal to 2 plus the y-intercept of f(x).

Answers

The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

How to determine the y-intercepts?

The function f is given as:

f(x) = -6(1.02)^x

Set x to 0

f(0) = -6(1.02)^0

Evaluate

f(0) = -6

From the table of function g(x), we have:

g(0) = -3

This means that:

f(0) = 2 * g(0)

Hence, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).

Read more about y-intercepts at:

brainly.com/question/1884491

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The functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 which equation best compares the y-intercepts of f(x) and g(x)?

Answer:

the y-intercept of f(x) is equal to 2 times the y-intercept of g(x)

What is the square root of 18, square root of 50 and square root of 27x^3y?

Answers

√(18)=√(9\cdot2)=\sqrt9\cdot\sqrt2=3\sqrt2\n\n√(18)\approx4.24\n\n√(50)=√(25\cdot2)=√(25)\cdot\sqrt2=5\sqrt2\n\n√(50)\approx7.07\n\n√(27x^3y)=√(9\cdot3x^2xy)=√(9x^2)\cdot√(3xy)=3x√(3xy)
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