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seropon [69]
1 year ago
4

1. Solve -4x < -3(6x - 2) and sketch the solution set on a number line.

Mathematics
1 answer:
Anuta_ua [19.1K]1 year ago
4 0

We need to solve the inequality:

-4x

Let's multiply right side out and take variables to one side and numbers to another. The process is shown below:

\begin{gathered} -4x

The solution set is:

\begin{gathered} x

This means that x is less than 3/7, or

x is less than 0.4286

On the number line it looks:

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Ierofanga [76]
I’m not sure this is right or not but, I think the answer is A
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3 years ago
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HELP i need the answer 20 POINTS
sergeinik [125]

Answer:

  y = -1/4(x +4)² +4

Step-by-step explanation:

The equation of a parabola with focus (a, b) and directrix y=d can be written using the form ...

  y = 1/(2(b-d))(x -a)² +(b+d)/2

<h3>Application</h3>

We are given (a, b) = (-4, 3) and d=5. Using these values in the above form gives the equation ...

  y = 1/(2(3-5))(x -(-4))² +(3+5)/2

  y = -1/4(x +4)² +4

3 0
2 years ago
what is the value of x in the triangle 50° and 55° in the bottom with x at the top 50 on the left 55 on the right
lubasha [3.4K]

So, we know that the internal angles of a triangle add up to 180 degrees, yes?  

60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.

Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!  

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4 0
3 years ago
Millie needs a total of 7.8 feet of ribbon for a school project. She needs 0.7 more feet of ribbon. How much ribbon, in feet, di
Vilka [71]

Subtraction is a mathematical operation that reflects the removal of things from a collection. The ribbon that Millie already had is 7.1 feet.

<h3>What is subtraction?</h3>

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given Millie needs a total of 7.8 feet of ribbon for a school project. Also, She needs 0.7 more feet of ribbon. Therefore, the ribbon that Millie needs is,

Ribbon Millie had = Total Ribbon - ribbon that is needed

                              = 7.8 feet - 0.7feet

                              = 7.1 feet

Hence, the ribbon that Millie already had is 7.1 feet.

Learn more about Subtraction:

brainly.com/question/1927340

#SPJ1

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2 years ago
What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, adding vertical compression by a factor of 1/
Naily [24]

Answer:

Step-by-step explanation:

g(x)= 1/4x^2(x+2)+3

7 0
3 years ago
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