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3 years ago

Help me pleaseThis is indistinguishable to another one of my posts but not the same

Mathematics

1 answer:

igomit [66]3 years ago

4 0

1. Undo
2 Subtraction
3. Multiplication
4. Solving, both, equal
5. Solve, isolate

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Mike can drive his car 390 miles using 15 gallons of gasoline. Find the unit rate for the number of miles Mike can drive using o

Tasya [4]

Answer: 26 gallons.

390÷15

15 can go into 39 only 2 times.

39-30 is 9

15 can go into 90 only 6 times.

90-90 is 0.

3 0

3 years ago

Suppose you choose a team of two people from a group of n > 1 people, and your opponent does the same (your choices are allow

jonny [76]

Answer:

The number of possible choices of my team and the opponents team is

$\left\begin{array}{ccc}n-1\\E\\n=1\end{array}\right i^{3}$

Step-by-step explanation:

selecting the first team from n people we have $\left(\begin{array}{ccc}n\\1\\\end{array}\right) = n$ possibility and choosing second team from the rest of n-1 people we have $\left(\begin{array}{ccc}n-1\\1\\\end{array}\right) = n-1$

As { A, B} = {B , A}

Therefore, the total possibility is $\frac{n(n-1)}{2}$

Since our choices are allowed to overlap, the second team is $\frac{n(n-1)}{2}$

Possibility of choosing both teams will be

$\frac{n(n-1)}{2} * \frac{n(n-1)}{2} \\\\= [\frac{n(n-1)}{2}] ^{2}$

We now have the formula

1³ + 2³ + ........... + n³ = $[\frac{n(n+1)}{2}] ^{2}$

1³ + 2³ + ............ + (n-1)³ = $[x^{2} \frac{n(n-1)}{2}] ^{2}$

= $\left[\begin{array}{ccc}n-1\\E\\i=1\end{array}\right] = [\frac{n(n-1)}{2}]^{3}$

4 0

4 years ago

Find all roots given that x = 3 + i is a solution. <br><br> x^4 - 10x^3 + 29x^2 - 10x - 50 = 0

Basile [38]

Answer:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

Step-by-step explanation:

We know that given the polynomial with real coefficients, if x = 3 + i is a root, then x = 3 - i must be another root. These two roots can combine multiplicative factors as shown:

(x - 3 - i) * (x - 3 + i) = (x-3)^2 + 1 = x^2 - 6 x + 9 + 1 = x^2 - 6 x + 10

Then we divide the given polynomial: x^4 - 10x^3 + 29x^2 - 10x - 50 by the quadratic one we just found, and get a perfect division:

{x^4 - 10x^3 + 29x^2 - 10x - 50} / {x^2 - 6 x + 10} = x^2 - 4 x - 5

which can be factored out by grouping as shown below:

x^2 - 4 x - 5 = x^2 - 5 x + x - 5 = x (x - 5) + x - 5 = (x - 5 ) * (x + 1)

then the full factor form of the quartic polynomial given is:

(x - 3 - i) * (x - 3 + i) * (x - 5 ) * (x + 1)

and therefore the associated roots are:

x = 3 + i, x = 3 - i , x = 5 , and x = -1

5 0

3 years ago

A 7.5 force is applied to a football, causing an acceleration of 15 m/s2. Calculate the mass

faust18 [17]

Step-by-step explanation:

We know that we have the formula that F = ma

Given

Force (F) = 7.5 N

Acceleration (a) = 15 m/s²

Mass (m) = ?

Now

F = ma

7.5 = m * 15

m = 7.5/ 15

Mass = 0.5 kg

6 0

3 years ago

Read 2 more answers

Distribute and combine HELP NOW!!

bearhunter [10]

Answer:

9x + 8

Step-by-step explanation:

2(3x + 1) + 5x + 9 - 2x - 3

⇒ 6x + 2 + 5x + 9 - 2x - 3

⇒ 9x + 8

6 0

3 years ago

Read 2 more answers