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3 years ago

7

In the xy -plane above, point C has coordinates (6, 9). Which of the following is an equation of the line that contains points O

and C ?

1 answer:

lilavasa [31]3 years ago

8 0

The xy-plane is so far above that it's not visible,
and we can't see where point-O is.

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A 2 digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the o

atroni [7]

10a+b=c,

c=6*(a+b)+1,

10b+a=c-9

a = 4, b = 3, c = 43

8 0

3 years ago

If the value of X is negative what equation still be true ?explain.

Brut [27]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

Lubov Fominskaja [6]

<u>Answer:</u>

First car: 35 gallons

Second car: 15 gallons

<u>Step-by-step explanation:</u>

Assuming $x$ to be the gas consumed by 1st car and $50 - x$ to be the gas consumed by 2nd car.

We know that:

Distance traveled = fuel efficiency × gas consumed

$20x+35(50-x)=1225$

$20x+1750-35x=1225$

$35x-20x=1750-1225$

$15x=525$

$x=35$

So $50 - x = 50-35=15$

Therefore, first car consumed 35 gallons while second car consumed 15 gallons.

7 0

3 years ago

Read 2 more answers

Prove the statement holds for all positive integers:<br><br> 2 + 4 + 6 + ... + 2n = n² + n

crimeas [40]

Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.

The relation 2+4+6+...+2n = n^2+n has to be proved.

If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2

Assume that the relation holds for any value of n.

2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)

= n^2 + n + 2n + 2

= n^2 + 2n + 1 + n + 1

= (n + 1)^2 + (n + 1)

This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.

<span>By mathematical induction the relation is true for any value of n.</span>

6 0

3 years ago

In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

In the year 2019, Lee County used approximately 55 million gallons of water.

This means that $P(0) = 55$

Historical trends show that each year the water demand is increasing by a rate of approximately 2.1%.

This means that $r = 0.021$

So

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

Approximately 62 gallons of water will be used by Lee County by the year 2025.

3 0

4 years ago