MATHEMATICS HIGH SCHOOL

I need help with this ASAP, please thank you

Answers

Answer 1

Answer:

Answer:

Option A is the correct answer.

Step-by-step explanation:

Line is passing through the point $(2, - 6) = (x_1, \: y_1)$ and its slope is - 3.

Equation of line in slope point form is given as:

$y-y_1 = m(x-x_1) \n</p><p>\therefore y-(-6) = - 3(x-2) \n</p><p>\huge \red {\boxed {\therefore y + 6 = - 3(x-2)}} \n$

Answer 2

Answer:

Answer: A

Step-by-step explanation:

Point-slope form is the following: y - y1 = m(x - x1). So all that is needed is to substitute y1 for -6, x1 for 2, and -3 for m(the slope).

y - y1 = m(x - x1)

y - (-6) = -3(x - (2))

y + 6 = -3(x - 2)

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There are 50 numbers. Each number is subtracted from 53 and the mean of the numbersso obtained is found to be – 3.5. Determine the mean of the given numbers.

Answers

Hello,

$x_(1) , x_(2) , x_(3) , ... x_(50) \n\n \overline{x}= (\sum_(i=1)^(50)\ x_(i))/(50) \n\n (\sum_(i=1)^(50)\ 53-x_(i) )/(50) =-3.5\n (50*53 )/(50) -(\sum_(i=1)^(50)\ x_(i))/(50)=-3.5\n\n 53-\overline{x}=-3.5\n \overline{x}=53+3.5=56.5\n$

Solve the equation. -2(4x+4) -4=12 Group of answer choices -3 -0.6 -192 3

Answers

Answer:

the answer is -3

Step-by-step explanation:

-2(4x+4) becomes -8x+-8 then becomes -8x+-8+-4 you get -8x+-12 you add 12 to -12 it then gives you -8x=24 that makes it -x=3 you devide that by -1 and x=-3

What times what equals 8,000

Answers

4,000 × 2 = 8,000 hope thats what you meant!

4,000 • 2 = 8,000
Hope this helps!

The quadratic equation (3k-2)x^2 +12x+3(k+1) =0 has equal roots. Find the two possible values of k.

Answers

$x_1=x_2 \Rightarrow \Delta=0\n\Delta=12^2-4\cdot(3k-2)\cdot3(k+1)\n\Delta=144-(36k-24)(k+1)\n\Delta=144-36k^2-36k+24k+24\n\Delta=-36k^2-12k+168\n-36k^2-12k+168=0\n-3k^2-k+14=0\n-3k^2+6k-7k+14=0\n-3k(k-2)-7(k-2)=0\n-(3k+7)(k-2)=0\nk=-(7)/(3) \vee k=2$

Knowing that a 6.2% Social Security tax is applied to a maximum wage of $106,800, the maximum amount of Social Security tax that could ever be charged in a single year is:

Answers

Take 6.2% of 106,800

.062 × 106800=

$6,621.60

Answer:

Step-by-step explanation:

Option D is the right choice.

Step-by-step explanation:

The current Social Security tax is 6.2%

Given maximum taxable earnings = $106800. This means the social security tax will be calculated on a maximum amount of $106800.

Social security tax on $23660 =

Social security tax on $89000 =

Social security tax on $106800 (maximum earnings) =

So, these values fall under option D. Hence, option D is the right choice.

What do I do when you have a question like "y-1=4/5(x+15)" I have no idea what to do next!

Answers

distribute the 4/5 to the x and 15 so you should have y-1=4/5x+12
next you must get y alone so add one to both sides of the equation
the final product is y=4/5x+13

$y - 1 = (4)/(5(x + 15))$

$y - 1 = (4)/(5(x) + 5(15))$

$y - 1 = (4)/(5x + 75)$

$y - 1 = 0.8x - 0.053$

$y - 1 + 1 = 0.8x - 0.053 + 1$

$y = 0.8x + 0.947$

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Please help . I’m giving 75 points.