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3 years ago

Compute the following: 7!/3! a. 1680 b. 840 c. 21 D. 4

Mathematics

1 answer:

AlexFokin [52]3 years ago

6 0

7!/3!

7! = 7 X 6 X 5 X 4 X 3 ...

3! = 3 X 2 x 1

since the 3 X 2 X 1 part are repeated in both the numerator and denominator, we can divide them out

7!/3! = 7 X 6 X 5 X 4 = 42 X 20 = b. 840

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Jace owns a small business selling bagels. He knows that in the last week 37 customers paid cash, 6 customers used a debit card,

pantera1 [17]

Answer:

268

Step-by-step explanation:

11/37=credit card

11/37=x/900

900 divided by 37=24.3

24.3 times 11=267.56

round it to 268

7 0

2 years ago

Find the equation of the axis of symmetry of the following parabola algebraically.

mr Goodwill [35]

Answer:

the equation of the axis of symmetry is $x=8$

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: $x=constant$ , being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of the vertex of a parabola of the general form: $y=ax^2+bx+c$ , is given by:

$x_{vertex}=\frac{-b}{2\,a}$

which in our case becomes:

$x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8$

Then, the equation of the axis of symmetry for this parabola is:

$x=8$

4 0

3 years ago

Evaluate the expression when d=-3 |d|

nirvana33 [79]

Alright. Start by plugging in -3 for d. There are absolute value signs on the outside, so it negates the negative and makes it just 3. I hope this helps you.

From,
Am3865211

8 0

2 years ago

Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi

Lana71 [14]

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

6 0

2 years ago

Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B

marishachu [46]

Time it took runner A to complete the marathon = 26.2 / 5.6 = 4 hrs 41 mins
Time it took runner B to complete the marathon = 26.2 / 6.4 = 4 hrs 6 mins

Time it took runner B to complete the marathon relative to when runner A started = 30 mins + 4 hrs 6 mins = 4 hrs 36 mins

Therefore, runner B will finnish ahead of runner A.

Let x be the time the two runners are at the same point, then
5.6x + 5.6(0.5) = 6.4x
6.4x - 5.6x = 2.8
0.8x = 2.8
x = 2.8/0.8 = 3.5
Therefore, runner B will catch up with runner A 3.5 hours after runner A starts the race.
<span>Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.</span>

5 0

3 years ago