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Dmitry [639]
3 years ago
10

Sam's age is five years more than twice Jessica's age. Together, the sum of their ages is 17. Let J = Jessica's age. How old is

Sam?
Mathematics
2 answers:
Harman [31]3 years ago
8 0
17-5=12
12/2=6
i think
hammer [34]3 years ago
4 0
Equation:
2j + 5 = 17
- 5 - 5
2j = 12
j = 6

Hope I helped!
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What is the maximum number of possible extreme values for the function,<br> f(x) = х2 -7x – 6?
timama [110]

Answer:

Only one extreme value of f(x) is possible.

Step-by-step explanation:

We are given the quadratic function of independent variable x which is f(x) = x² - 7x - 6 ......(1)

Now. the condition for extreme values of f(x) is \frac{df(x)}{dx} =0

Hence, differentiating both sides of equation (1) with respect to x, we get

\frac{df(x)}{dx} = 2x -7 = 0

⇒ x = 3.5.

So there is only one value of x for which f(x) has extreme value which is x = 3.5.

Therefore, only one extreme value of the given function is possible. (Answer)

3 0
3 years ago
Find the term indecent of x in the expansion of (x^2-1/x)^6
Mars2501 [29]

By the binomial theorem,

\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}

3 0
2 years ago
How many sixteenths are there in 5/8​
nadya68 [22]

Answer:

10!

Step-by-step explanation:

Exuse me if im wrong :')

6 0
3 years ago
8 + 8( 8 - n ) = 40 + 8n
Ierofanga [76]

n=2

8+8(8-n)=40+8n (distribute 8 through the parenthesis)

8+64-8n=40-8n (add the numbers)

<em>72-</em>8n=40+8n (move the variable to the left side and change its sign)

<em>72</em><em>-</em>8n+8n=40

-8n+8n=40<em>-72</em> (connect like terms)

-16n = -32 (divide both sides by -16)

<u><em>n=2</em></u>




7 0
3 years ago
Read 2 more answers
Solve the system of equations. 2x - 4y = 10 7x - 9y = 12
drek231 [11]
2x - 4y = 10
7x - 9y = 12
_________
9x - 5y = 2
3 0
3 years ago
Read 2 more answers
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