Answer:
162.5
Step-by-step explanation:
Answer:
£60
Step-by-step explanation:
Let the original cost be x.
x × (1 - 20%) = 48
0.8x = 48
x = 48/0.8
x = 60
The original cost was £60 before the sale.
the answer will be -19n+25. All you do is put 19 into the g spot and distribute from that point on into the parentheses. so -19 to n and multiply -19 and -1. after that you get -19 +19+6. you will then add like termsso 19 and 6 is 25. Final answer is -19n+25. Hope its right. Good Luck !
Answer:
See attached picture.
Step-by-step explanation:
The solution set on a graph is the graph or drawing of the function. For this quadratic function, it is the U-shaped graph called a parabola. Graph the equation by finding the x-intercepts and vertex.
The function factors into (x+4)(x+5). So the x-intercepts are -4 and -5.
The vertex of the function is found using -b/2a. Here that is -9/2 = -4.5. This is the x value of the vertex. The y-value is found by substituting x = -4.5 into the function.
(-4.5)^2 + 9(-4.5) + 20
20.25 - 40.5 + 20
Graph three points at (-4,0), (-5,0) and (-4.5, -0.25).
See attached picture for the graph.
The guts of the table are ...
![\left[\begin{array}{cccc}x&y&x+y=85&y=2x+4\\19&65&\text{false}&\text{false}\\25&60&\text{true}&\text{false}\\27&58&\text{true}&\text{true}\\32&53&\text{true}&\text{false}\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7Dx%26y%26x%2By%3D85%26y%3D2x%2B4%5C%5C19%2665%26%5Ctext%7Bfalse%7D%26%5Ctext%7Bfalse%7D%5C%5C25%2660%26%5Ctext%7Btrue%7D%26%5Ctext%7Bfalse%7D%5C%5C27%2658%26%5Ctext%7Btrue%7D%26%5Ctext%7Btrue%7D%5C%5C32%2653%26%5Ctext%7Btrue%7D%26%5Ctext%7Bfalse%7D%5Cend%7Barray%7D%5Cright%5D%20%20)
Of course, you know the answer after figuring the third line of the table.
The two numbers are 27 and 58.
_____
If the second number is odd, the result after subtracting 4 will not be divisible by 2. This lets you reject the 1st and 4th choices immediately. As for the second choice, twice 25 is 10 less than 60, not 4 less, so that choice can also be discarded.
Starting from the system of equations
![x+y=85\\y=2x+4](https://tex.z-dn.net/?f=x%2By%3D85%5C%5Cy%3D2x%2B4)
you can use substitution to get
![x+(2x+4)=85\\\\3x=81\qquad\text{subtract 4}\\\\x=27\qquad\text{divide by 3}](https://tex.z-dn.net/?f=x%2B%282x%2B4%29%3D85%5C%5C%5C%5C3x%3D81%5Cqquad%5Ctext%7Bsubtract%204%7D%5C%5C%5C%5Cx%3D27%5Cqquad%5Ctext%7Bdivide%20by%203%7D)
This identifies the 3rd selection as the appropriate one.