MATHEMATICS HIGH SCHOOL

Solve the literal equation for y.

2x+5y = 3y+8

Answers

Answer 1
Answer:

Answer:

y = -x +4

Step-by-step explanation:

2x+5y = 3y+8

Subtract 3y from each side

2x+5y-3y = 3y-3y+8

2x+2y = 8

Subtract 2x from each side

2x+2y -2x = -2x+8

2y = -2x+8

Divide by 2

2y/2 = -2x/2 +8/2

y = -x +4

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Jack is running for city mayor. He stops the first 10 people on the street and asks them what their biggest concern for the city is. Six of the people say higher taxes are their biggest concern. Jack concludes that most people in the town think higher taxes are the biggest concern. Jack's conclusion is A) valid. Jack asked enough people.
B) invalid. Jack did not ask enough people.
C) incorrect. Six of ten people is not a majority.
D) bias. Jack does not want to raise taxes and is looking for support

Answers

Jack's conclusion is B. INVALID. JACK DID NOT ASK ENOUGH PEOPLE.

A city has a population of millions and 10 people is not even a relevant sample of the population. Thus, the conclusion he has drawn based from his interview is insufficient.

Answer:

It is B

Step-by-step explanation:

did on usa testprep and got it right

PLEASE HELP ME
I really really really need help

Answers

Answer:

c

Step-by-step explanation:

Which integer is closest to 0 on the number line?
a. –7
b. –2
c. 1
d. 3

Answers

-7 -6 -5 -4 -3 -2 -1 01  2  3  4  5  6  7

Now you can tell me wich is the closest number.
Its 1 because -7 its past negetive and 3 too so its 1

a cyclist covers a distance of 12 km at a speed of 8 km per hour calculate the time taken to cover this distance​

Answers

1.5 hours

To find how long it took for them to travel 12km, subtract 8 from 12. (4)

If it took them 1 hour to travel 8km and 4 is half of 8, then it would have took them 1 and a half hours to travel the 12km.

If you need a larger explanation, please let me know :)

Hope this helps!

Need anything else?

The first term of an infinite geometric sequence is 18, while the third term is 8. There are two possible sequences. Find the sum of each sequence.

Answers

Answer:

Step-by-step explanation:

The sequence is geometric with

a = 18

Third term = 8.

Let the second term be x.

The infinite geometric sequence will be in the form

18,x,8,......

For geometric sequence, the ratio of two consecutive terms are equal. Hence, we have

(x)/(18)=(8)/(x)\n\nx^2=144\nx=\pm12

So, there are two possible sequences

18,-12,8,......

and

18,12,8,......

Thus, the common ratios are

r=(-12)/(18),(12)/(18)\n\nr=(-2)/(3),(2)/(3)

The sum of the infinite geometric forr=(-2)/(3)

S=(a)/(1-r)\n\n(18)/(1-(-2)/(3))\n\nS=(18)/((5)/(3))\n\nS=(54)/(5)

The sum of the infinite geometric forr=(2)/(3)

S=(a)/(1-r)\n\n(18)/(1-(2)/(3))\n\nS=(18)/((1)/(3))\n\nS=54
Hello,
Let'q the ratio
u_(1) =18\n u_(2) =18*q\n u_(3) =18*q^2=8\ ==\ \textgreater \ q^2= (4)/(9) ==\ \textgreater \ q=\pm\ (2)/(3) \n1) if \ q= (2)/(3) \ then \ \sum_(i=0)^(\infty)\ 18* ((2)/(3) )^i= 18*(1)/(1+ (2)/(3) ) = (18*3)/(5)= 10.8\n\n2) if \ q= -(2)/(3) \ then \ \sum_(i=0)^(\infty)\ 18* (-(2)/(3) )^i= 18*(1)/(1- (2)/(3) ) = (18*3)/(1)= 54\n\n

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

f(x)=60(1+0.15)^x=60(1.15)^x

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value  .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

f(x)=A(1+r)^x, where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

f(x)=60(1+0.15)^x=60(1.15)^x

We know that exponential function has no intercept , thus this function has no intercept.

∴

Now, at x=4

f(4)=60(1.15)^4\approx104.94

Now, at x=6

f(6)=60(1.15)^6=138.78\approx139

Now, at x=7.86

f(7.86)=60(1.15)^(7.86)=179.98180=3(60)

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

f(8)=60(1.15)^8=183.54\approx184
The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)
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