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wolverine [178]
3 years ago
8

Here is a system of equations. (y=x-6 y=-x-2 Graph the system. Then write its solution. Note that you can also answer "No soluti

on" or "Infinitely many" solutions.​
Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

Example system with no solution

We're asked to find the number of solutions to this system of equations:

\begin{aligned} y &= -3x+9\\\\ y &= -3x-7 \end{aligned}  

y

y

​  

 

=−3x+9

=−3x−7

​  

 

Without graphing these equations, we can observe that they both have a slope of -3−3minus, 3. This means that the lines must be parallel. And since the yyy-intercepts are different, we know the lines are not on top of each other.

There is no solution to this system of equations.

Example system with infinite solutions

We're asked to find the number of solutions to this system of equations:

\begin{aligned} -6x+4y &= 2\\\\ 3x-2y &= -1 \end{aligned}  

−6x+4y

3x−2y

​  

 

=2

=−1

​  

 

Interestingly, if we multiply the second equation by -2−2minus, 2, we get the first equation:

\begin{aligned} 3x-2y &= -1\\\\ \blueD{-2}(3x-2y)&=\blueD{-2}(-1)\\\\ -6x+4y &= 2 \end{aligned}  

3x−2y

−2(3x−2y)

−6x+4y

​  

 

=−1

=−2(−1)

=2

​  

 

In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.

Step-by-step explanation:

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Approximately how long will it will take the U.S. to pay back the $3 trillion if we pay back $1 million dollars a day?
Whitepunk [10]

Answer:

3 million days

around 8220 years

Step-by-step explanation:

(3×10¹²)÷(1×10⁶)

= 3×10⁶

= 3 million days

= around 8220 years

4 0
3 years ago
During the first 50 minutes of flight, the Concorde climbs from ground level to an altitude of about 52,000 ft. What is the conc
horsena [70]

Let

x--------> the time in minutes

y-------> an altitude in feet

we know that

For x=0 min  y=0 ft

For x=50 min y=52,000 ft

so

the rate of change is equal to calculate the slope of the linear equation

\frac{52,000-0}{50-0}=\frac{52,000}{50}=1,040\frac{ft}{min}

Round to the nearest hundred-------->1,000\frac{ft}{min}

therefore

<u>the answer is</u>

1,000\frac{ft}{min}


7 0
3 years ago
if a staircase rises 52° from the ground and a vertical distance of 12 yards. How much horizontal distance does the staircase co
3241004551 [841]
The horizontal distance will be found using the formula:
tan θ= opposite/adjacent
given that θ=52°
opposite= 12 yards
adjacent=x
hence
tan 52=12/x
x=12/tan 52
x=9.3754
the height is 9.375 yards
3 0
3 years ago
Evaluate the expression
andreev551 [17]

Step-by-step explanation:

this is correct answer thank you

3 0
3 years ago
3 more than a number then divided the result by 8
ziro4ka [17]

We are given statement : 3 more than a number then divided the result by 8.

We need to write an algebraic expression for it.

Let us assume unknown number be n.

3 more than n = (n+3).

Now, we need to divide that result (n+3) by 8.

So, we would get (n+3) divided by 8 = \frac{n+3}{8}.

<h3>Therefore, final expression is \frac{n+3}{8}.</h3>
5 0
3 years ago
Read 2 more answers
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