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
MariettaO [177]
3 years ago
13

Systems of linear equations iready quiz

Mathematics
1 answer:
saw5 [17]3 years ago
7 0

Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

<em>Does the following system have One Solution, No Solution, or Infinite Solutions.   </em>

<em />y = 4x + 8\\y = -5x + 3<em />

<em />

<em />

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

-y = -4x - 8\\y = -5x + 3

0=-9x-5\\5=-9x\\x=-\frac{5}{9}

Then, we use this value to find the other one

y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

You might be interested in
3 feet
lora16 [44]

the answer is b twelve

add the 3 and 2

8 0
3 years ago
What's 11 over 8 times 7 over 8
Sauron [17]

Answer:

1.203125

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
(5) I already know the answer but I'm pretty sure you guys would like some points so just trying to figure it out
Andrews [41]

Answer:

I'm going to imagine the answer is math

3 0
3 years ago
A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the
Y_Kistochka [10]

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x

Formula for the area of the rectangle is

Area=length \cdot width\\A=length(x)

Replace the length we got using perimeter

A=(30-x)(x)\\A(x)= 30x-x^2

To find out the maximum are we take derivative

A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15

find out second derivative to check whether x=15 is maximum

A''(x)=-2

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225

So, maximum area is 225 square feet

3 0
3 years ago
A line is parallel to the x-axis and passes through (-5,4) write the equation of that line, the slope, and the slope of a line p
-Dominant- [34]

A line parallel to the x-axis is horizontal and thus any point on the line has a fixed y-coordinate. So the given line that passes through (-5, 4) has equation y = 4 with slope 0.

A line perpendicular to this one would be vertical. Its slope would be undefined (or infinite, depending on convention), so that any point on it has a fixed x-coordinate. If this line also passes through (-5, 4), then its equation would be x = -5.

5 0
3 years ago
Other questions:
  • The graph displays the total cost when buying gas by the gallon. Which statement best describes the relationship between cost an
    7·2 answers
  • Which equation represents a line that has a slope of -1/2 and passes through point (4, –5)?
    9·2 answers
  • Please Help ASAP!!! Would you be able to prove this is a right triangle or would it just be a scalene triangle?
    5·2 answers
  • X-5y=55 slope intercept form
    10·1 answer
  • 5. Write the number 81 as a power with a base of 3 and a base of 9.
    11·1 answer
  • I need help please.!
    12·1 answer
  • Which of the following equations represents a line that is
    5·2 answers
  • What is the relationship between DG and FG?<br> Math
    13·1 answer
  • Last year Chesa made 32 one-cup servings of soup for a school party. This year, she will make two times the amount of soup that
    6·1 answer
  • In the adjoining figure, ABCD is a square of side 28 cm find the area of shaded region​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!