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noname [10]
1 year ago
5

Which equation represents a line which is parallel to the line 8y-3x=-8

Mathematics
1 answer:
marin [14]1 year ago
7 0

First, we need to make the equation given to be in the form;

y=mx + b

where m is the slope and b is the intercept

8y - 3x = -8

Add 2x to both-side of the equation

8y = 3x - 8

Divide through the equation by 8

y = 3/8 x -1

comparing the above with y =mx + b

m = 3/8

slope of parallel equations are equal

From the options given the only equation with slope 3/8 is;

y= 3/8 x + 8

y=\frac{3}{8}x\text{ + 8}

The above equation of the line is parallel to 8y - 3x = -8

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The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:
weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

S_{\infty}=\frac{a}{1-r}

Where

\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\  \\ a\text{ is the first term = 1} \\  \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}

So, this becomes

\begin{gathered} S_{\infty}=\frac{a}{1-r} \\  \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\  \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\  \\ S_{\infty}=3 \end{gathered}

Therefore, option b is the correct answer

5 0
1 year ago
Which sentence contains a pronoun with an unclear, a missing, or a confusing antecedent?
Arte-miy333 [17]

Answer:

B. They say that doing homework leads to his success in school.

Step-by-step explanation:

Looking at the answers, C and D already make sense, so they're not the answers. The answer A does not have an unclear antecedent because "my mom and me" would not be written as "my mom and I". B is the only answer left. If you look at the sentence, it begins with "they", and it ends up saying "his success in school". This sentence includes a confusing antecedent because the sentence does not define the person who it is describing.

Sorry if this explanation was confusing. I hope this helps! Have a great day!! C:

6 0
3 years ago
The sum of two numbers is 12. The first number, x, is twice the second number, y. Which system of equations could be used to fin
Firdavs [7]

Answer:

D) x+y=12, x=2y

Step-by-step explanation:

We know that x+y=12 and x=2y given the word problem, so D is correct.

3 0
2 years ago
Read 2 more answers
Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t
liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got  = m

So, the number of votes Vivienne received =   3 times (John's share )

 = 3  times m   =  3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m)   = 6 m

Total Votes in the grade 6  

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6  = 10 m

\textrm{The percentage of John's Votes }  = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }}  \times 100

= \frac{m}{10m}  \times 100 = 10

or, The percentage of John's Votes  = 10%

Hence, John received 10% of the overall votes.

3 0
3 years ago
Term of the arithmetic sequence 12, 10, 8
r-ruslan [8.4K]

Answer:

\mathtt{\huge\star{\pink{\underline{ 12,\: 10,\: 8,\: 6,\:4,\:2,\:-1,/:-3........ infinite      }}}}\huge\star

7 0
2 years ago
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