MATHEMATICS HIGH SCHOOL

Rewrite the following linear equation in slope-intercept form. Write your answer with no spaces. y+2=4(x-3)

Answers

Answer 1
Answer:

Answer:  The required slope-intercept form of the given linear equation is

y=4x-14.

Step-by-step explanation:  We are given to write the following linear equation in slope-intercept form :

y+2=4(x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the slope-intercept form of a straight line is written as

y=mx+c,

where 'm' is the slope and 'c' is the y-intercept of the line.

From equation (i), we have

y+2=4(x-3)\n\n\Rightarrow y+2=4x-12\n\n\Rightarrow y=4x-12-2\n\n\Rightarrow y=4x-14.

Thus, the required slope-intercept form of the given linear equation is

y=4x-14, where slope, m = 4 and y-intercept, c = -14.
Answer 2
Answer: it would be y=4x-14.

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Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has......
Anish has......
Nick has......

Answers

Scott = Anish ÷ 3 or 1/3 Anish
Anish = Nick ÷ 2 or 1/2 Nick
S + A + N = 140
1/6 N + 3/6 N + 6/6 N = 10/6 N (140)
10/6 N = (140)
140 ÷ 10 = 1/6 N (14) = Scott
9/6 N (126) - 3/6 (42 = Anish) = N = 84
S = 14
A = 42
N = 84

CHECK?

14 = 1/3 of 42
42 = 1/2 of 84
14 + 42 + 84 = 140 :)
let x = # of computer games nick has
then
Anish has    1/2x games
and
Scot has  1/2*1/3   = 1/6x  games
 thus
1/6x + 1/2x + x  =  140
1/6x + 3/6x + x  = 140
10/6x = 140
10x =140* 6
   x       =      84  >        Nick
  1/2x    =    42  >    Anish
   1/6x    =   14    >    Scot

-18 - 14= whats the answer help

Answers

Answer:

-32 :) is the answer just think about it as your adding the sum of these numbers then putting a negative in front of it.

Step-by-step explanation:

An electrician charges a $20 house call fee plus $30 per hour of work. Which equation represents this relationship?An electrician charges a $20 house call fee plus $30 per hour of work.

Answers

Answer:

20+30h

......................................

If x>o, which of the following is equivalent to the expression(√x) (√2)?

2x
√2x
x√2
x²√2

Answers

Answer:

√2x.

Step-by-step explanation:

√x * √2 = √(2x).

Its the second option.

Answer:

The correct answer is: √2x

Step-by-step explanation:

We (must to) know that is:

√a · √b ⇔ √ab

God with you!!!

you invest 4,400 in an account that pays an interest rate of 6.5 % compounded continuously ,calculate the balance of your account after 3 years .round your answer to the nearest hundreth

Answers

This is a problem that deals with exponential growth and the formula for exponential rate problems is: y = a(b)^t, where a= principal amount, b = rate, and t = time. 

Let's substitute the corresponding values into its appropriate places: the starting amount is $4,400, the rate is 0.065 but we need to add an 1 because it's an exponential growth problem so it would be 1.065, and the time is 3 years. 

Now solve: 
[tex]y = $4,400(1.065)^3[tex]
Answer:  $5314.98

Answer:

FOR PLATO/EDMENTUM  the answer is 5347.37

Step-by-step explanation:

5347.37

A tree that is 2 feet tall is growing at a rate of 1 foot per year.A 6 foot tall tree is growing at a rate of ½ foot per year. In how
many years will the trees be the same height? How tall will the
trees be? system of equations

Answers

h=2+1y, or h=2+y where h is the final height, 2 is the original height, and 1y, or y, is the rate of feet per year.
h=6+1/2y, or h=6+0.5y, where h is the final height, 6 is the original height, and 1/2 y, or 0.5y, is the rate of feet per year.
Now, we plug in heights to try and find a number of years that they will be the same height.
Let's start with 12 feet.
12=2+1y
12=2+y
12-2=y
10=y

12=6+0.5y
12-6=0.5y
6=0.5y
12=y
We seem to be fairly close, so we'll try something a little larger, 18 feet.
18=2+y
18-2=y
16=y

18=6+0.5y
18-6=0.5y
12=0.5y
24=y
This seems to be much farther away, so we'll try a smaller number, 10 feet.
10=2+y
10-2=y
8=y

10=6+0.5y
10-6=0.5y
4=0.5y
8=y
The years are the same now, so we know that in 8 years, the trees will be the same height. We also know that they both will be 10 feet height tall.
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