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2 years ago

Plz help me on this quick

Mathematics

1 answer:

Studentka2010 [4]2 years ago

7 0

Answer: The third one

Step-by-step explanation: We can eliminate the first one right off the bat sinc we see that -4 has two outputs. Next, the graph's equation has no slope (x=3) so the input is all the same. Thirdly, the table shows a relationship between x and y and the numbers don't have a pattern that shows more than one output or input for a number. The fourth option are simply coordinates, it doesn't particularly tell us that all the coordinates are related to each other.

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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0

2 years ago

In the expression below, a is an integer. 12^3+ax-20 if 3x+4 is a factor of the expession above, what is the value of a

SVEN [57.7K]

Our function is:

$f(x)=12^3+ax-20$

Now, if $3x+4$ is a factor of $f(x)$ then $x=\frac{-4}{3}$ must satisfy the equation:

So, $f(\frac{-4}{3} )=0$

Putting $x=\frac{-4}{3}$

We get,

$f(\frac{-4}{3} )=12^3+a(\frac{-4}{3} )-20=0$

$12^3+\frac{-4}{3} a-20=0$

$\frac{-4}{3} a=20-12^3=20-1708$

$a=-1708 \times \frac{-3}{4} =1281$

So, the value of 'a' for the given expression is 1281.

4 0

3 years ago

pedro goes to the gym every eight days but tennis is every twelve days if today is september 27 when will he do both again

Svetach [21]

October 21st, 24 days later

3 0

3 years ago

2x squared + 9x=-5 i need to solve for x

In-s [12.5K]

$2x^2+ 9x=-5 \\ \\2x^2 + 9x+5 =0 \\\\a=2, \ \ b=9 , \ \ c=5 \\\\\Delta =b^2-4ac = 9^2 -4\cdot 2\cdot 5 = 81-40=41 \\ \\x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-9-\sqrt{41}}{2\cdot 2 }=\frac{-9-\sqrt{41}}{ 4 }\\\\ x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-9+\sqrt{41}}{2\cdot 2 }=\frac{-9+\sqrt{41}}{4 }$

3 0

3 years ago

Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu

lana [24]

Answers :

(A) 18.33%
(B) 21.65%
(C) about 173.33
(D) i really have no way of finding the angles for you, you could try to find them yourself; or maybe just leave it blank?

<h3>OK, so judging from the bar shown : </h3>

It looks like Rent takes up 1/3 of the space so 33.33..%

It also looks like Loan Repayment + Savings is another 33.33..% but Savings is slightly larger than Loan Repayment so you could just estimate Savings to be 55% and LR to be 45% of the 1/3 space.

55% of 33.33.. = 18.33%

45% of 33.33.. = 14.99%

LR looks equal to Entertainment making it another 14.99.

It also looks like Entertainment + Electricity + Groceries = the last 33.33..%

And since we know Entertainment = 14.99 / 45% of 33.33..

Making Electricity and Water ABOUT 35% of 33.33... which is 11.66

And Groceries is somehow 20% of 33.33 = 6.66

Rent = 33.33..%
Savings = 18.33%
Loan Repayment 14.99%
Entertainment 14.99%
Electricity and Water 11.66%
Groceries = 6.66%

<h3>All of these added together equal ABOUT 100%</h3>

4 0

3 years ago