Determine the solution to f(x) = g(x) using the following system of equations:f(x) = 5.5x − 13
g(x) = −5x + 18.5

x = 1
x = 2
x = 3
x = 4

Answers

Answer 1

Answer: f(x) = g(x)

f(x) = 5.5x - 13
g(x) = -5x + 18.5

5.5x - 13 = -5x + 18.5
5.5x + 5x = 18.5 + 13
10.5x = 31.5
x = 31.5/10.5
x = 3

f(3) = 5.5(3) - 13 = 16.5 - 13 = 3.5
g(3) = -5(3) + 18.5 = -15 + 18.5 = 3.5

Answer 2

Answer:

Answer:

The solution of the equation f(x) = 5.5x − 13 and g(x) = −5x + 18.5 is 3 .

Step-by-step explanation:

As given

f(x) = g(x)

Here

f(x) = 5.5x − 13

g(x) = −5x + 18.5

Put in the above equation

5.5x − 13 = −5x + 18.5

5.5x + 5x = 18.5 + 13

10.5x = 31.5

$x = (31.5)/(10.5)$

x = 3

Therefore the value of x is 3 .

Related Questions

At a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?
If a = 3 units, b = 7 units, and c = 10 units, what is the volume of the three prisms above?a 210 cubic unitsb 153 cubic unitsc 180 cubic unitsd 162 cubic units
Which is the benefit of investing? A. not having to work to earn money. B. living comfortably after you retire. C. spending lavishly now and living off investments later.
Can someone help me? It's urgent and thank you!
Hopefully y'all can help me on this

Please, solve this exercice:1+2+2²+2³+2⁴+....+ 2²⁰¹¹

It can be solved by using geometric progression?

Answers

$1+2+2^2+2^3+2^4+...+2^(2011)\n\na_1=1;\ a_2=1\cdot2=2;\ a_3=2\cdot2=2^2;\ a_4=2^2\cdot2=2^3\n\vdots\na_(2012)=2^(2010)\cdot2=2^(2011)$

$The\ sum\ of\ a\ terms\ of\ geometric\ progression:S_n=(a_1(1-r^n))/(1-r)\n\na_1=1;\ r=2\n\nsubtitute:\n\nS_(2012)=(1(1-2^(2012)))/(1-2)=(1-2^(2012))/(-1)=2^(2012)-1\n\nOnly\ that...(606\ digits,\ if\ you\ want\ how\ length\ this\ number)$

Help please!! With an explanation, thanks so much

Answers

180-140= 40

I would have to go with 40* because of what is prier to that paper you just gaveme

It's not b please help me

Answers

the answer is C. all you have to do is subtract the exponents

To divide variables, it is subtraction!

So, $a^3 - a^2 = a$

$b^2 - b = b$ . So in conclusion your answer is C. ab. Hope this helped!

Adam, Beth, and Carly walked a total of 10 miles collectively. Beth walked twice as far as Adam, and she walked a half a mile further than Carly. If a = number of miles Adam walks, b = number of miles Beth walks, and c = number of miles Carly walks, which equation is NOT true for this situation?A) b = 2a
B) b = c + 0.5
C) 3a + c = 10
D) a + 2c = 10.5

Answers

D) a+2c=10.5

Since b=c+ $(1)/(2)$
a+b+c=10
a+(c+1/2)+c=10
a+2c+1/2=10
a+2c=9.5

Answer: Option 'D' is not correct.

Step-by-step explanation:

Since we have given that

Total distance walked by Adam , Beth, and Carly = 10 miles

Let number of miles Adam walks be a

Let number of miles Beth walks be b

Let number of miles Carly walks be c

According to question,

Beth walked twice as far as Adam

So, the equation will be

$b=2a$

Thus, Option 'A' is satisfied.

Now, Beth walked a half a mile further than Carly.

So, the equation will be

$b=c+0.5$

Thus, Option 'B' is correct.

Now, we substitute the first equation, then we get

$a+b+c=10\na+2a+c=10\n3a+c=10$

Thus, Option 'C' is correct.

The only incorrect equation is Option 'D' .

Two angles in a triangle add up to 108 degrees what is the size of the third angle

Answers

72 degrees
Because a triangle is 180 degrees and 180-108 is 72.

Please help me. I don't want to get the answer wrong

Answers

Answer:

Step-by-step explanation:

Answer: No Solution.

Step-by-step explanation:

So remember that you first need to solve for the parenthesizes, as it is the thing you need to do first in the order of operations: PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)

So, what you should do first is distribute the 3 into x - 1 as well as the 2 on the right side into 2x + 3.

7x-3(x-1) = 2(2x+3)

7x - 3x - 3 = 4x + 6

Then what you should do next is combine like terms on the left side, which is 7x & -3x.

So what you would get after combining like terms is:

4x - 3 = 4x + 6

Then what you should do next, is move the 4x from the right side to the left. In order to do that, you must subtract 4x by 4x on the right side, which would cancel it out.

And remember, what you do on one side, you do to the other.

So in the end, you should end up with this:

-3 = 6

Now, due to how there is no more x you are solving for, it would be no solution.

Other Questions

Equation of the line passing through the points 4,11 and -1,-14

Which equation represents the line that passes through (-8,11) andand (4, 7/2)?A) y = -5/8x + 6 B) y = -5/8x + 16 C) y = 15/2x - 49 D) y = -15/2x + 71

Which of the following occurs during the ecological succession of an ecosystem?A. An ecosystem reaches a final, unchanging stage. B. Animals move out of the ecosystem until succession is complete. C. Living organisms modify their environment a little at a time. D. Parts of communities split off to form new communities.

You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.What is the probability of: selecting a penny? selecting a nickel? not selecting a dime? selecting a dime or a quarter?