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Art [367]
2 years ago
6

What does 2(n-3)=4n+1 equal

Mathematics
2 answers:
Alex2 years ago
8 0

<em><u>ANSWER</u></em>

2(n-3) = 4n+1

(2×n) + (2×-3) = 4n+1

2n + (-6) = 4n + 1

2n - 6 = 4n + 1

2n - 6+6 = 4n + 1 + 6

2n = 4n + 7

2n - 4n = 4n - 4n + 7

-2n = 7

-2n/-2 = 7/-2

n = -3 1/2

Liono4ka [1.6K]2 years ago
6 0

Answer:

n=4/-3

Step-by-step explanation:

2n-3 = 5n+1

2n-5n = 1+3

-3n = 4

n =4/-3

n=-4/3

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a rock is launched from a canon. it's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds.
ratelena [41]
This is the quadratic function:
h(x)=ax²+bx+c

We have two points:
(1,58)
(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0

(1,58)
a(1)²+b(1)=58
a+b=58  (1)

(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56  (1)

With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2

-2(a+b=58)
 2a+b=56
-------------------
       -b=-60  ⇒  b=60

The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)
h(10)=-200+600=400

Answer: 400 ft.
6 0
3 years ago
Read 2 more answers
Enter the value of w so the expression -5 +0.6W is equivalent to w (2.5 – 0.3w)​
NeX [460]

9514 1404 393

Answer:

  w = -2 or 8 1/3

Step-by-step explanation:

Setting the two expressions equal makes a quadratic equation:

  -5 +0.6w = w(2.5 -0.3w)

  0.3w^2 -1.9w -5 = 0 . . . . . . subtract the right-side expression

  3w^2 -19s -50 = 0 . . . . . . . multiply by 10 to give integer coefficients

  (3w -25)(w +2) = 0 . . . . . . . factor

We can use the zero product rule to find the solutions. The product will be zero only if a factor is zero.

  3w -25 = 0   ⇒   w = 25/3 = 8 1/3

  w +2 = 0   ⇒   w = -2

The values of w that make the two expressions equivalent are -2 and 8 1/3.

8 0
3 years ago
The ratio of the length to the width of a picture is 5:2. The picture is enlarged so that its length is 15 inches now. What is t
Maru [420]
The answer is B.
The ratio is multiplied by three so 5 times 3 is 15 and 2 times 3 is 6.
8 0
3 years ago
A super train travels 1,500 miles in 12.5 hours. How many miles does it travel in one hour?
katen-ka-za [31]
Let's treat the speed in one hour as a variable.
We can say that 1500=12.5x
Divide by 12.5
1500/12.5 = x
x = 120
120 mph is your answer.
6 0
3 years ago
A) Write 600 as the product of prime factors.<br> Give your answer in index form.
dlinn [17]

Answer:

3 × 5 × 5 × 2 × 2 × 2

Step-by-step explanation:

Make a factor tree.

But let me explain the above to prove it's correct.

3 × 5 = 15

15 × 5 = 75

75 × 2 = 150

150 × 2 = 300

300 × 2 = 600

Therefore 600 as a product of prime factors is: <u>3 × 5 × 5 × 2 × 2 × 2</u>

4 0
3 years ago
Read 2 more answers
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