1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
luda_lava [24]
2 years ago
5

If 6!+7!+8!=(n)(6!), then the value of n is A) 15 B)16 C)63 D)64 E)15!

Mathematics
1 answer:
gladu [14]2 years ago
6 0
6!+7!+8!=(n)(6!)
calculate the individual values first:
6!=720
7!=5040
8!=40320

plug them into the equation:
720+5040+40320=n720
solve for n
5760+40320=n720
46080=n720
divide both sides by 720 to isolate n
46080/720=n720/720
64=n
You might be interested in
Which statement describes the inverse of m(x) = x2 – 17x?
stealth61 [152]

Answer:

The correct option is;

The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}

Which can be simplified as follows;

x =  \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2}  \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}

And further simplified as follows;

x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }} to increase m⁻¹(x) above the minimum.

8 0
2 years ago
HELP! XD
Sergeu [11.5K]
9*4.25=  38.25  square inches.
4 0
2 years ago
A bowl contains
12345 [234]
1 apple + 1 banana
1 apple + 1 orange
1 apple + 1 peach
1 banana + 1 apple
1 banana + 1 orange
1 banana + 1 peach
1 orange + 1 apple
1 orange + 1 banana
1 orange + 1 peach
1 peach + 1 apple
1 peach + 1 orange

11 combinations of food

Hope this helped
5 0
2 years ago
Read 2 more answers
What is the measure of ∠H? <br>1. 115<br>2. 65<br>3. 50<br>4. 25
ddd [48]

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

3 0
1 year ago
Write each phrase as a variable expression:<br><br> 9 subtracted from x
Schach [20]

Answer:

9-x

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the 25th of sequence 3,5,7,9,11
    5·1 answer
  • Find the most general antiderivative of the function. (Check yo f(x) = 3^x + 7 sinh(x) F(x) = Need Help? Watch It Talk to a Tuto
    11·1 answer
  • I need help please!!!!
    7·1 answer
  • Please click the picture and help me :D
    6·1 answer
  • What is the sum of the finite arthemetic series (-10)+0+10+20....+130
    11·1 answer
  • Solve each equation for x.<br>1. x2 – 11 = 25​
    13·2 answers
  • 4 &gt; - 4404 true or false
    5·2 answers
  • Deandre runs each lap in 7 minutes. He will run at most 5 laps today. What are the possible numbers of minutes he will run today
    15·1 answer
  • It takes 45 minutes for 4 people to paint 5 walls . How many minutes does it take 6 people to paint 4 walls?
    9·2 answers
  • Between what two consecutive integers does √35 lie?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!