1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seraphim [82]
4 years ago
14

What is the x-coordinate at the point of intersection for these equations?

Mathematics
2 answers:
DerKrebs [107]4 years ago
7 0
Think of the given

<span>f(x) = 2.8x - 12
g(x) = 5.8x + 9

as 

</span><span>y = 2.8x - 12
y = 5.8x + 9

We want the value of x, not the value of y.  So, subtract the 2nd equation from the first.  Doing so will eliminate the variable y and leave you with one equation in the variable x.  Solve for this x value.
</span><span> 
 y= 2.8x - 12 
 -y =-(5.8x + 9)
--------------------
 0 = -3x - 21     What is the value of x?</span>
DerKrebs [107]4 years ago
4 0

Answer:

A) x = -7 .

Step-by-step explanation:

Given : f(x) = 2.8x - 12

g(x) = 5.8x + 9.

To find : What is the x-coordinate at the point of intersection for these equations.

Solution : We have given that

y = 2.8x - 12  ------- ( equation 1)

y = 5.8x + 9--------( equation 2)

On subtracting equation 2 from equation 1.

y = 2.8x - 12

(-)y = (-)5.8x +(-) 9

______________

0=  - 3x - 21

On adding 21 both sides

21 = -3x

On dividing both sides by -3 and switching sides .

x = -7 .

Therefore, x = -7 .

You might be interested in
. What is the value of x in the equation –6 + x = –2?
Usimov [2.4K]
4 is the right answer
5 0
4 years ago
Which algebraic expression represents "the quotient of a number and thirty"? 30 + a 30a StartFraction 30 Over a EndFraction Star
Dima020 [189]

Answer:

the algebraic expression that represent the quotient of a number & thirty is 30 ÷ a

Step-by-step explanation:

The algebraic expression that represent the quotient of a number & thirty is shown below:

As we know that

Quotient means to divide

So here the quotient is 30

And the other number would be 30 ÷ a

Therefore the algebraic expression that represent the quotient of a number & thirty is 30 ÷ a

8 0
3 years ago
Read 2 more answers
The following function represents the value of a house, in dollars, after x years: f(x) = 242,000(1.04)x What does 1.04 represen
zmey [24]
The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.

As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.

As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
5 0
3 years ago
What is the area of the pool?
IRISSAK [1]
The area is 336 is you multiply the outer numbers then subtract the numbers on the in side that's what you get
4 0
3 years ago
 Joshua has to earn more than 92 points on the state test in order to qualify for an academic scholarship. Each question is wort
djverab [1.8K]
x-represent\ the\ number\ of\ test\ questions\\4x-the\ number\ of\ earned\ points\\ \\Joshua\ has\ to\ earn\ more\ than\ 92\ points\\ \\4x>92\ \ \ \Rightarrow\ \ \ Ans.\ d
3 0
3 years ago
Other questions:
  • Translate the following statement into a mathematical equation:
    8·1 answer
  • Three times antonios age plus 2 times sarahs equals 14. sarahs age is also twice antonios age. how old is sarah
    14·1 answer
  • 80 is 5 percent of what number​
    13·2 answers
  • How does one solve this rational equation? Even youtube isn't quite helping me understand either.
    9·1 answer
  • Number 8 please please please
    15·1 answer
  • Angelica’s speed is 4 cm/minute, Monique’s speed is 3.5 cm/minute, and Courtney’s speed is 5.5 cm/minute. Which turtle will win
    14·2 answers
  • Find the x-intercepts for the parabola defined
    8·1 answer
  • Jason traveled 26 miles. The first 2 hours his speed was 4 mph, and the rest of the way his speed was 3mph. How long was he trav
    8·1 answer
  • 6x+12 factorizar mediante a factor comun<br>​
    14·1 answer
  • Using pennies, nickels, dimes or quarters, determine which kind of coin is in each circle. First clue: The total value of the fo
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!