Solve for x: 4 − (x + 2) < −3(x + 4)

Answers

Answer 1

Answer: 4 - (x+2) < -3(x+4)

4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
÷2 ÷2
x < -7

assume that x = -8

4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 the inequality is true.

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A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) = abx to represent the number of birds after x years. Which values should she use for a and b?
If y= -7 when x= -28, find y when x=20
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Which was the most important effect of the bessemer process a.it allowed the production of more steel b. it produced better steel c. it made steel cheaper d. it allowed factory production of steel 2. which was the immediate goal of the standard oil company when it lowers its prices? a. to sell stock to investers b. to out complete rival businesses c. to form a monopoly d. to pass on lower costs to costomers?

For the love of God help me !! I'm desperate for it tomorrow

Answers

Try to relax. Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before. But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.

Consider this: (2)^a negative power = (1/2)^the same power but positive.

So:
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.

What I just said in that paragraph was: log₂ of(N) = - log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.

Now let's look at the problem:

log₂(x-1) + log(base 1/2) (x-2) = log₂(x)

Subtract log₂(x) from each side:

log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0

Subtract log(base 1/2) (x-2) from each side:

log₂(x-1) - log₂(x) = - log(base 1/2) (x-2) Notice the negative on the right.

The left side is the same as log₂[ (x-1)/x ]

==> The right side is the same as +log₂(x-2)

Now you have: log₂[ (x-1)/x ] = +log₂(x-2)

And that ugly [ log to the base of 1/2 ] is gone.

Take the antilog of each side:

(x-1)/x = x-2

Multiply each side by 'x' : x - 1 = x² - 2x

Subtract (x-1) from each side:

x² - 2x - (x-1) = 0

x² - 3x + 1 = 0

Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .

I think you have to say that x=2.618 is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.

There,now. Doesn't that feel better.

How many angles less than a right angle does this triangle have ?

Answers

2 angles are less than a right angle.

What is polygon Interior angles sum theorem?

Is states that sum of all interior angles of any polygon is fixed which is given by formula : (n-2)*180 degree.

How to solve?

Sum of all the three angles of a triangle is ( n-2 ) *180degree = (3-2)*180 degree = 180 degree.

since one angle is 90 degree, any other angle can't be of 90 degree or more otherwise it won't satisfy condition of sum of interior angles.

To know more about Angles visit:

brainly.com/question/25770607

#SPJ2

2. the other on top is a right angle

Solve the equation by completing the square. -9n^2+79+=-18n

Answers

Hello,
-9n²+79=-18n
==>9n²-18n-79=0
==>9(n²-2n+1-1)-79=0
==>9(n-1)²-88=0
==>[3(n-1)-2√22][3(n-1)+2√22]=0
==>3(n-1)=2√22 or 3(n-1)=-2√22
==>n-1=2/3*√22 or n-1=-2/3*√22
==>n=1+2/3*√22 or n=1-2/3*√22

What is 15% of 120 and how do you do it

Answers

15%*120=15/100*120=15/10*12 ( u can cancel 1 0 from 100 &120)=3/2*12( by cancelling by 5)=3*6( by cancelling by 2 )=18 ans,,

Dad is 7 times as old as his son. 10 years later, he will be three times as old as his son.find their ages?

Answers

so dad is represented by x
son is represented by y

so x is (x=) 7 times his son (7y)

our first sentence is x=7y

10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)

so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5

the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15

dad=35
son=5

these are the answers
son = 5
dad= 35

It takes a driver 70 minutes to drive to his workplace at 100km/h. If the distances were the same, what would be his speed in 1.5hours ?!Help me pls

Answers

The STD triangle. Speed, Distance and Time triangle can help you convert and get the answer. Distance = Speed x Time. Speed = Distance / Time.

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What formula tells the cost, in dollars, ifchocolate chip cookies are $1.50/dozen and lemon frosteds are $ 1.00/dozen? Let c = number of dozens of chocolate chip cookies; L= number of dozens of lemon frosteds; T = total charge.