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lorasvet [3.4K]
3 years ago
5

Fill in the table using this function rule. y = 6x + 5

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

x=3, y=23

x=6, y=41

x=8, y=53

x=9, y=59

Step-by-step explanation:

x=3, y=6(3)+5

        y=18+5

        y= 23

x=6, y=6(6)+5

       y=36+5

       y= 41

x=8, y=6(8)+5

       y=48+5

       y=53

x=9, y=6(9)+5

       y=54+5

       y=59

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Two standard number cubes (i.e., dice) each with faces numbered 1-6 are rolled. What is the probability that the product of the
xeze [42]
16= 4*4
you need to roll two 4s out of presumably 36 possibilities so 2/36 since you need one 4 and a second 4. check the total possibilities tho
3 0
3 years ago
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
Please help! 9/4(7+3-4*9)
Serga [27]

Answer:

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Step-by-step explanation:

This expression should be simplified using order of operations. According to order of operations or PEMDAS, complete any numbers in parenthesis then any exponents, multiplication, division, additions and subtraction moving left to right through each operation.

Begin with Parenthesis.

(7+3-4*9) - Multiply first

(7+3-36) - Then add/subtract left to right

10 - 36 = -26

Replace -26 where the parenthesis were in the original expression.

9/4 (-26)

234/4

58.5

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3 years ago
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Mrac [35]

Answer:

The answer is 50.4

Hope this helps :)

<em>-ilovejiminssi♡</em>

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3 years ago
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maw [93]

Answer:

if you want to add the answer is 32.2

If you want to subtract the answer is 1.7

6 0
3 years ago
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