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
xenn [34]
2 years ago
12

The ordered pair (2,-5) is a solution to which of the following systems of equations

Mathematics
1 answer:
Elina [12.6K]2 years ago
4 0

Answer:

The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.

The solution is the point

(

−

6

,

−

11

)

Explanation:

We solve the set of two equations as simultaneous equations.

Call this Equation 1:

y

=

2

x

+

1

Call this Equation 2:

y

=

x

−

5

Rearrange Equation 2 to make

x

the subject:

x

=

y

+

5

Substitute this value of

x

into Equation 1:

y

=

2

(

y

+

5

)

+

1

=

2

y

+

10

+

1

=

2

y

+

11

Rearranging:

−

y

=

11

y

=

−

11

We can substitute this into either equation to find the value of

x

:

x

=

−

6

That means the intersection of the lines is at the point

(

−

6

,

−

11

)

.

Step-by-step explanation:

You might be interested in
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There ar
hichkok12 [17]
Answer:
1/2

Explanation
6 0
3 years ago
Read 2 more answers
3.1 .31 1.3 .13 from greatest to least
ale4655 [162]
Hello there!

The answer is:
3.1
1.3
.31
.13
7 0
3 years ago
Read 2 more answers
For the graph, what is a reasonable constraint so that the function is at least 200?​
Anastasy [175]

Answer:

0\leq x\leq 15

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one

<em>For the graph below, what should the domain be so that the function is at least 200?   graph of y equals minus 2 times the square of x plus 30 times x plus 200 </em>

My answer:

Given the above information, we have:

y=-2x^2+30x+200

To make  the function is at least 200, it means that:

y=-2x^2+30x+200 ≥ 200

<=> -2x^2+30x ≥ 0

<=> x(-2x+30) ≥ 0

This is the product of two numbers hence would be positive only if either both are positive or both are negative

  • Case I: Both positive

x ≥ 0 and  (-2x+30) ≥ 0

<=> 0 ≤ x ≤ 15

  • Case II: Both negative

Then we get

x\leq 0 and -2x+30\leq 0\\\\x\leq 0 and x\geq 15

This is inconsistent as a value cannot be less than 0 and greater than 15

=> our correct answer is0\leq x\leq 15

Hope it will find you well.

3 0
3 years ago
Any suggestions or answers
ArbitrLikvidat [17]

This is a way to work it out

3 0
3 years ago
What value of c makes x2 6x c a perfect square trinomial? c = If x2 6x c = (x d)2, then d =.
Mariana [72]

\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}

3 0
2 years ago
Other questions:
  • What is the answer please
    14·1 answer
  • Using the order of operations, what should be done first to evaluate (-4)² +6+(-3+4) (2) -5?
    15·2 answers
  • I need all the questions completed correctly I’m studying for a test
    6·1 answer
  • CONSUMER MATH HELP!!!
    11·2 answers
  • how many pounds of premium coffee beans thats $9.50 pounds should be mixed with 2 pounds of supreme coffee thats $11.75 pounds t
    15·1 answer
  • Please find the length of AB. :)
    13·1 answer
  • Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
    8·2 answers
  • Simplify<br> 20<br> What the answer?
    9·2 answers
  • I will give brainliest and 94 points.
    14·1 answer
  • Takeout orders on a typical saturday
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!