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
puteri [66]
3 years ago
12

Part A: Create a system of linear equations with no solution. In two or more complete sentences, explain the specific characteri

stics that you included in each equation to ensure that the system would not have a solution.
Part B: Using one of the equations that you created in Part A, create a system of linear equations that has one solution (x, y). Use substitution to solve the system.
Mathematics
1 answer:
Dmitrij [34]3 years ago
6 0
Part A.
You need two equations with the same slope and different y-intercepts.
Their graph is parallel lines. Since the lines do not intersect, there is no solution.

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

Part B.
We use the first equation as above. For the second equation, we use an equation with different slope. Two lines with different slopes always intersect.

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

In the second equation, y = -2x - 2. We now substitute -2x - 2 for y in the first equation.

-2x - 2 = 2x + 2

-4x = 4

x = -1

Now substitute -1 for x in the first equation to find y.

y = 2x + 2

y = 2(-1) + 2

y = -2 + 2

y = 0

Solution: x = -1 and y = 0
You might be interested in
Please help I don't understand this
Effectus [21]
The correct answer is:  [C]:  " \frac{7}{18}" .
____________________________________________________
Explanation:
____________________________________________________
Given:
____________________________________________________
  
  2 / (9x) = 4 / 7 ;  solve for "x" ;
____________________________________________________

Cross-multiply:

        →   (9x)*4  = 2 * 7 ; 

        →   36x = 14 ; 

Divide each side of the equation by "36" ; 
 to isolate "x" on one side of the equation; & to solve for "x" ; 

        →   36x / 36 = 14 / 36 ; 

                   x = 14/ 36 ; 

                  → x = 14/36 = (14÷2) / (36÷2) = 7/18 ; 
______________________________________________________

The answer is:  " \frac{7}{18}" ;

                       →  which is:  Answer choice:  [C]:  " \frac{7}{18}" .
______________________________________________________
7 0
3 years ago
Write the following inequality using interval notation
mr_godi [17]
I think the answer is (9,8)
3 0
2 years ago
What is the equation of this line in standard form?
Tanya [424]
I believe the answer is 6x-7y=-11
4 0
3 years ago
Read 2 more answers
What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
Regina went out for breakfast. The bill came to $7.12. If Regina has a discount coupon for 20%, how much will be taken off the b
PolarNik [594]
I believe $1.42 would be taken off of the bill:))
3 0
3 years ago
Read 2 more answers
Other questions:
  • Can someone please solve for x:
    12·2 answers
  • one month charlie rented 2 movies 3 video games for a total of $21. The next month he rented 4 movies and 8 video games for a to
    14·1 answer
  • Solve the following equation for p . <br><br> s=18p<br><br> p=?<br><br> helppp
    8·2 answers
  • What is the value of the underlined digit 16,403 with the number 1 underlined
    7·1 answer
  • The table below shows the ticket rates for whale watching trips offered by Beluga Fun Tours:
    11·1 answer
  • REPOST HELP PLEASEEE<br><br> I KNOW THIS ISNT MATH BUT NO ONE IS SEEING IT
    9·1 answer
  • 2 more than 6 is?<br><br>And please can I have a explanation?​
    10·2 answers
  • 3. Use De Morgan's laws to write an equivalent statement for the given sentence. If Ashley buys a house, then she will not buy a
    8·1 answer
  • 1 1/5+3 2/5 as a fraction
    8·2 answers
  • A pair of shoes is on sale for 15% off. With this discount, customers will save $9 if they buy the shoes. Part AIn this situatio
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!