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Gnoma [55]
3 years ago
10

Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? A) 2 x

+ 2 = -50 B) 2 x = -50 C) 2 x + 1 = -50 D) x^2 + 1= -50
Mathematics
2 answers:
givi [52]3 years ago
7 0

Answer:

2x+2=-50

Step-by-step explanation:

x+2=y\\x+y=-50\\x+x+2=-50\\2x+2=-50

The equation that can be used to find out x and y is 2x+2=-50

Kipish [7]3 years ago
4 0

Answer:

\mathrm{A}

Step-by-step explanation:

Two consecutive even integers.

The first integer is even and can be as x

The second integer is also even and can be as x+2

Their sum is -50

x+x+2=-50

2x+2=-50

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How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?
ICE Princess25 [194]

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

f(x)=9-x^2

And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at <em>x</em> = 0, our function evaluates to:

f(0)=9-(0)^2=9

So, our first point is (0, 9).

For our second endpoint at <em>x</em> = 3, our function evaluates to :

f(x)=9-(3)^2=0

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3

3 0
3 years ago
You have $36,948.61 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until y
Luba_88 [7]
Current amount in account
P=36948.61

Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n

Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11

We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000

We can solve this by trial and error.


The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000.  It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.

So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.

So it takes 15.00 years to reach the goal of 280000 years.
8 0
3 years ago
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $4 and eac
ki77a [65]

Answer:

79 people can only be in this so we have 53 kids so 53 * 4 = 212

Step-by-step explanation:

However, there is 53 kids to find how many adults you will have to do 79 - 53 which that = 26 so 26 adults were there. so 26 * 8.50 = 221.

To fine how much money they earn you will just have to add them up so

$212 + $ 221 = $433 so they didn't really earn the amount of money they really want which is $ 460.

4 0
3 years ago
A yogurt cost 55 p . <br> how many yogurts can be brought for six pound ?
lions [1.4K]

Answer:

Since 3 pounds would get you 5 yogurts multiply that by two and you get 10

The answer is 10 yogurts

Hope it helped!

Step-by-step explanation:

4 0
2 years ago
Which sign makes the statement true?<br>8.9   8 68100
Lyrx [107]
Well i would say it would be 8.9
3 0
3 years ago
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