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3 years ago

The quotient of negative eight and the sum of a number and three

1 answer:

6 0

For this case, the first thing we must do is define a variable.
We have then:
x: real number
Now we write the expression:
-8 / (x + 3)
The number x can be all real different from minus three.
Answer:
-8 / (x + 3)
With x different from -3.

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A line with a slope of -4 has a coordinate of (0,3). If the other coordinate is (6,t),

s2008m [1.1K]

Answer:

Alrighty! So this is what we know:

Slope (m) = (-4)

Co-ordinate (0,3)

Co-ordinate 2 (6,t)

t = ?

Let's find our equation...

y=mx+b <-- just plug what we know in...

3=(-4)0+b

3=0+b

b=3

We just found b! woohoo

Now what is t? t is a value we need to know WHICH IS the y value of a co-ordinate that corresponds to when x is 6, as we know a co-ordinate is expressed as --> (x value, y value).

SO-

t=y

plug it in our equation...

y=mx+b

t=(-4)x+3

t=(-4)(6)+3

t=(-24)+3

t=(-21)

SOOOOOOOO WE HAVE OUR T!! just write a therefore statement like "therefore the value of t is -21." and you're set! hope this helped, any questions? ask in the comment section. :)

Step-by-step explanation:

7 0

2 years ago

the table below shows the account balances for four different customer accounts at the city bank.which account balance represent

Sonbull [250]

Answer:

ARE THERE ANY ANSWER CHOICES?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If csc ( x ) = 4, for 90 ∘ < x < 180, then sin ( x 2 ) = ? cos ( x 2 ) = ? tan ( x 2 ) = ?

svetlana [45]

Answer:

I'm assuming where you wrote x2, you meant 2x.

Anyway, if csc (x) = 2, since csc(x) = 1/sin(x), we know that 1/sin x = 2, so sin (x) = 1/2. Since sin2x + cos2x = 1, cos2x = 1 - sin2x, so cos x = √1 - sin2x. In this case, cos x = √ 1 - (1/2)2 = √(3/4) = (√3)/2. Finally, since sin x = opp / hyp , cos = adj/ hyp: sin x / cos x = (opp/hyp)/(adj/hyp) = opp/adj = tan x. So this means that tan x = sin x / cos x = 1/2 / √ 3 / 2 = 1/√3 = √3 / 3

At this point, all that is necessary is to use the double angle formulas for sin, cos, and tan.

sin (2x) = 2 sin x cos x = 2 (1/2) (√3/2) = √3 / 2

cos (2x) = cos2x - sin2x = (√3/2)2 - (1/2)2 = 3/4 - 1/4 = 1/2

tan (2x) = 2 tan x / (1 - tan2x) = 2 (√3 / 3) / ( 1 - (√3/3)2) = 2/√3 / (1 - 1/3) = 2/√3 / (2/3) = 3/√3 = √3

To sum up, sin (2x) = √4 / 2, cos (2x) = 1/2, and tan(2x) = ✓3.

Step-by-step explanation:

BRAIN LY FAST

MARK A BRAINLESS

5 0

2 years ago

Which strategy best explains how to solve this problem?

Rufina [12.5K]

This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number

In this case we have r=2 and a=1 so

a(n)=2^(n-1) so on the sixth week he will run:

a(6)=2^5=32

He will run 32 blocks by the end of the sixth week.

Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:

s(n)=a(1-r^n)/(1-r) where the variables have the same values so

s(n)=(1-2^n)/(1-2)

s(n)=2^n-1 so

s(6)=2^6-1

s(6)=64-1

s(6)=63 blocks

So he would run a total of 63 blocks in the six weeks.

4 0

2 years ago

Read 2 more answers

Given the equation 7(x + 2) = 2x − 1, solve for the variable. Explain each step and justify your process. Jeff solved a similar

Galina-37 [17]

You have to distribute the 7 to x and 2 so :
7x+14=2x-1
Add one to both sides (inverse operations)
7x+14=2x-1
+1 +1
7x+15=2x
Cross Cancel by subtracting 7x from both sides
7x+15=2x
-7x -7x
15=-5x
Divide by -5
15/-5= -5/-5
X= -3

6 0

3 years ago