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Svetlanka [38]
2 years ago
12

Marty is making a layaway purchase of a $1,500 couch at Frank’s Furniture Store. He will be paying $156 every 2 weeks for 20 wee

ks on a layaway plan. What is the layaway fee for this purchase?
Mathematics
1 answer:
Burka [1]2 years ago
6 0

Answer:

$60

Step-by-step explanation:

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Graph the system of inequalities y&lt;5x-1, y<img src="https://tex.z-dn.net/?f=%20%5Cgeq%20" id="TexFormula1" title=" \geq " alt
zhannawk [14.2K]
The inequalities that are given in this item are given below,
       y < 5x - 1
       y ≥ -3x +4

We dropped the inequalities sign to solve for the values of x and y for the intersection.
      y = 5x - 1
      y = 3x + 4

Substituting the y from the first equation to the y of the second equation,
     5x - 1 = 3x + 4
    2x = 5
    x = 5/2

Substituting for y,
      y = (5)(5/2) - 1
      y = 25/2 - 1 = 11.5

The intersection is (5/2, 11.5)

The solutions of the system of inequalities lie in the 3rd and 4th quadrants. 
6 0
3 years ago
Write the function whose graph is the graph of y=l x l but is shifted up 9 units.
Olenka [21]

The function is y = IxI + 9

Step-by-step explanation:

Let us revise the translation of a function

  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  

∵ y = IxI

∵ The graph of the function is shifted 9 units up

- That means the graph of the function is translated 9 units, up

∵ The equation of the function f(x) whose graph shifted k units

   up is f(x) + k

∵ k = 9

∴ The equation of the function is y = IxI + 9

The function is y = IxI + 9

Look to the attached figure for more understand

Learn more:

You can learn more about the translation in brainly.com/question/2451812

#LearnwithBrainly

8 0
3 years ago
Find the GCF between 35, 42, and 6.
Natasha_Volkova [10]

Answer:

They don't all share none. Unless you count 1

Step-by-step explanation:

35 is only divisible by 5 and 7

3 0
3 years ago
Read 2 more answers
PLEASE HURRY Find the measure of each missing angle.
Luba_88 [7]
<h2>Given:</h2>
  • m∠HFG = 71°
<h2>To find:</h2>

m∠EFH

<h2>Solution:</h2>

we know that the sum of all the angles on one side of a straight line = 180°

so,

  • m∠EFH +m∠HFG = 180°
  • m∠EFH +71° = 180°
  • m∠EFH = 180°-71°
  • m∠EFH = 109°

hence , option <em><u>c </u></em>⇴<em><u>109°</u></em> is correct

8 0
2 years ago
Jack and Connor were splitting nachos. Jack ate of the
SashulF [63]
How many nachos is there to start with
6 0
3 years ago
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