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sesenic [268]
3 years ago
6

Simplify the expression: (k − 4)(4)

Mathematics
2 answers:
const2013 [10]3 years ago
8 0

Answer:

4k - 16 thats the answer

julia-pushkina [17]3 years ago
4 0

Hey there! I'm happy to help!

We are multiplying k-4 by 4. This means that we multiply each term in k-4 by 4.

4(k)=4k

4(-4)=-16

So, our simplified expression is 4k-16.

Have a wonderful day! :D

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Find the equation of a line that passes through (5.3) and (4,5).
FinnZ [79.3K]

Answer:

y=-2x+13

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-3)/(4-5)

m=2/-1

m=-2

y-y1=m(x-x1)

y-3=-2(x-5)

y=-2x+10+3

y=-2x+13

6 0
3 years ago
A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
4 years ago
Mary has $2,300. She has decided that she will withdraw a fixed whole-dollar amount of money every month of the year. The fixed
Brrunno [24]

Given : Mary has $2300

Given : Mary decides to withdraw a fixed amount of money every month of the Year.

I'm Solving this Question by Verification of the Given Options

Let us Assume, She Withdraws a fixed amount of $190 every Month

⇒ The Amount she has withdrawn in a year = (190 × 12) = $2280

⇒ The Amount left over will be : (2300 - 2280) = $20

But, we can see that there is no $20 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $181 every Month

⇒ The Amount she has withdrawn in a year = (181 × 12) = $2172

⇒ The Amount left over will be : (2300 - 2172) = $128

But, we can see that there is no $128 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $180 every Month

⇒ The Amount she has withdrawn in a year = (180 × 12) = $2160

⇒ The Amount left over will be : (2300 - 2160) = $140

But, we can see that there is no $140 among the 2nd Blank Options. So, This Fixed amount of money cannot be the Answer.

Let us Assume, She Withdraws a fixed amount of $191 every Month

⇒ The Amount she has withdrawn in a year = (191 × 12) = $2292

⇒ The Amount left over will be : (2300 - 2292) = $8

We can see that there is a $8 among the 2nd Blank Options. So, This Fixed amount of money is the Answer.

The Fixed whole-dollar amount of money she takes from her account every month is $191 and she'll have 8 left over.

First Blank : $191

Second Blank : $8

4 0
3 years ago
What is (6 + 6 + 6) · (6² + 1²)?<br><br> Please don't tell the answer is the devil number.
VikaD [51]
(6+6+6)(36+1) = (18)(37) = 666. ... If you don't want an answer posted, there's a simple solution ... don't post the question ! And if it still mysterously somehow appears, then for heaven's sake, don't offer points as a reward for an answer. ... Finally ... devil's numbers belong in the Old Wives' Hooey category, not in the Mathematics one. They're not real.
8 0
4 years ago
During a sale, Cindy found boxes of dog biscuits on sale for $0.69 that had previously cost $2.23. What percentage is the discou
N76 [4]

Answer:

The dog biscuits are approximately 69% off.

Step-by-step explanation:

(1 - 0.69/2.23) * 100

(223/223 - 69/223) * 100

154/223 * 100 = 69%

7 0
3 years ago
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