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2 years ago

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Mathematics

1 answer:

BartSMP [9]2 years ago

5 0

Answer:

Step-by-step explanation: C. pay off credit debt, emergency fund, retirement

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How many solutions does this linear system have y= 1/2x+4 <br> x+2y=-8

lara [203]

Answer:

1 solution

Step-by-step explanation:

y = 1/2x + 4

x + 2y = -8

Solve the second equation for y.

2y = -x - 8

y = -1/2x - 4

The two equations in slope-intercept form are:

y = 1/2x + 4

y = -1/2x - 4

The system consists of two lines with different slopes, so they intercept at a single point which is the solution.

Answer: 1 solution

4 0

3 years ago

Solve for the equation, show all your work. This is an absolute value equation. You need to show both equations and the work for

VMariaS [17]

Answer:

$x=-1$ or $7$

Step-by-step explanation:

We use casework on when $3x-9=12$ and when $3x-9=-12$ .

For the first case, $3x-9=12$ , we add 9 to both sides to get

$3x=21$ .

Dividing both sides by 3 gives

$x=7.$

For the second case, $3x-9=-12$ , we add 9 to both sides to get

$3x=-3$ .

Dividing both sides by 3 gives

$x=-1$ .

Checking both cases, we plug in $x=7$ and $x=-1$ .

For the first case, we have $|3(7)-9|=|21-9|=|12|=12$ , which satisfies the equation.

For the second case, we have $|3(-1)-9|=|-3-9|=|-12|=12$ , which also satisfies the equation.

This gives us two solutions to the equation; $x=7$ and $x=-1$ .

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2 years ago

What value makes the inequality...<br><br><br> Help it’s timed!!!

dangina [55]

It's the first one because the other three go pasted -6 which would make the problem not true.

7 0

3 years ago

Cyclists and runners are surveyed about their preferred method for replacing carbohydrates during a long race. The results of th

Novay_Z [31]

Answer:

no its not correct

Step-by-step explanation:

6 0

3 years ago

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Matteo is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satelli

natka813 [3]

Answer: (1.5, 0)

Step-by-step explanation:

Given : The shape of his satellite can be modeled by $y^2=6x$ where x and y are modeled in inches.

Now,the given equation $y^2=6x$ is a equation of parabola.

Here, coefficient of x is positive, hence the parabola opens rightwards.

On comparing this equation with standard equation $x^2=4mx$ , we get

$4m=6\\\Rightarrow\ m=\frac{6}{4}=1.5$

In standard equation, coordinates of focus=(m,0)

Thus for given equation coordinates of focus=(1.5,0)

4 0

3 years ago

Read 2 more answers