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earnstyle [38]
3 years ago
14

The following sequence is arithmetic. 18, 11, 4, -3, -10, -17….

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0
Hello,

It is true that the sequence is arithmetic. Its common difference, of subtracting 7 each time, is always going to subtract 7 from each number.

Hope this helps!

May
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What is this simplified?
miv72 [106K]

Answer: -8 square root of 3 (choice a)

Step-by-step explanation:

You have to find 2 numbers that multiply to 48 and in the same time, 1 of these numbers is a perfect square. In this case, the numbers are 16 and 3. So -2√16*3

Then since 16 is. A perfect square, and the square root is 4, you take out the 4 and multiply it by -2 so that is -8 and now you are left with -8√3. Hopefully that helped.

7 0
2 years ago
Read 2 more answers
Gas prices in shelby county are at $3.00 per gallon. if a market scientist predicts a 40% increase in the price of gas in the co
aleksley [76]

Answer-

<em>The price of gas will be</em><em> $4.2</em>

Solution-

Gas prices in shelby county = $3.00 per gallon

Market scientist predicts a 40% increase in the price of gas in the coming month.

So the new price will be,

=3+(3\times \dfrac{40}{100})

=3+(3\times 0.4)

=3+1.2

=4.2

Therefore, the price of gas will be $4.2


5 0
2 years ago
Read 2 more answers
For which value(s) of x will the rational expression below equal zero? Check all that apply.
Ivahew [28]

Answer: D.-6 and F.3

Step-by-step explanation:

The given rational number : \dfrac{(x-3)(x+6)}{(x+7)}

To find : The value of x  , where the  rational expression becomes equal zero.

Let's check all the options :

A. 7

At x= 7  , \dfrac{(7-3)(7+6)}{(7+7)}=\dfrac{26}{7}\neq0

B. -7

At x= 7 ,  \dfrac{(-7-3)(-7+6)}{(-7+7)}=\dfrac{10}{0}=\infty\neq0

C. 6

At x= 6 ,  \dfrac{(6-3)(6+6)}{(6+7)}=\dfrac{36}{13}\neq0

D. -6

At x= -6 , \dfrac{(-6-3)(-6+6)}{(-6+7)}=\dfrac{0}{1}=0

E. -3

At x= -3 ,   \dfrac{(-3-3)(-3+6)}{(-3+7)}=\dfrac{-9}{2}\neq0

F. 3

At x= 3 , \dfrac{(3-3)(3+6)}{(3+7)}=0

Thus, at x= -6 and 3 , the rational expression equals to zero .

So , the correct options are : D.-6 and F.3

8 0
3 years ago
Read 2 more answers
What is the equation of the line that contains the points<br> (-5,0) and (0,6) ?
xeze [42]

Answer:

y=6/5+6

Step-by-step explanation:

3 0
2 years ago
For questions 1 and 2 graph the exponential function:<br> 1. y=3^x<br> 2. y=2(4.5)^x
Mumz [18]
First, we should know exponential formula, for example exp (LnA) =A, for all A>0, and as for logarythm, LnA^p=pLnA, for all A>0, and for all value of p
so y=3^x=exp[Ln(3^x)]=exp(xLn3), let's search the graph of f(x)=exp(xLn3) f is defined in R, and its teminals limits are 0, and + infinity, f' (x) = Ln3.exp(xLn3), it is positif for all value of x, the function is strictly increasing, f(0)=Ln3, please look at the figure 1
the same method with y=2(4.5)^x, we find y=exp[Ln (2(4.5)^x)]=
exp[Ln (2) +Ln(4.5)^x)], because (LnAB=LnA + LnB), so y=2.exp[Ln(4.5)^x)]=2.exp(x[Ln(4.5)]), which domain is R, nd its teminals limits are 0, and + infinity, f' (x)=2.Ln(4.5) exp(x[Ln(4.5)]), which is positif for all value of x, the function is strictly increasing,and then f(0)=2Ln(4.5)
please look the figure 2

5 0
2 years ago
Read 2 more answers
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