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Phantasy [73]
3 years ago
7

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0
(X-5)2+3(X-5)+9 = 0
let expand the equation
(x)x2-(5)x2 + 3(x)-3(5) + 9 = 0
2x-10+3x-15+9=0
collect like terms
2x+3x-10-15+9 =0
5x-10-6 =0
5x-16=0
5x=0+16
5x=16
divide both side by 5 we have
x=16/5
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The answer is I think $50
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3 years ago
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A box of cereal states that there are 90 calories in a 3/4 cup serving.What is the unit rate for calories per? cup? How many cal
atroni [7]

Answer:   unit rate for calories per cup = 120

calories in 4 cups of cereal = 480


Solution:

Total number of calories in a box of cereal = x calories

Calories in 3/4 cup serving = 90

How many calories in 4 cups = c

How many calories per cup = x

Unitary method


Cups                        Calories

3/4                            90

 1                                 x

Corss multiply

3/4 * x = 90 * 1

x = 90 * 4/3

x =  120 calories


Now for 4 cups,

Cups                calories

1                         120

4                          c  


(Cross multiply)      

1 * c = 120 * 4

c =   480 calories answer                    


5 0
3 years ago
What is the area, measured in square centimeters, of the green shape
DaniilM [7]

Answer:

14

Step-by-step explanation

Count the whole squares and you get 12. Then count the triangles and you have four. Two triangles = 1 square so you have two squares. After add two and 12.

7 0
2 years ago
Answers for 1.2.1 how can I describe a graph
IrinaVladis [17]
I don't know if this is quite what you're looking for but I think it is a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
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6 0
3 years ago
Two old RSM students were standing ten feet apart when they ran in opposite directions with speeds of 180 feet per minute and 16
inessss [21]

The number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

  • Since one student runs at a speed of 180 feet per minutes, in time t minutes, he moves a distance of d = 180t.
  • Also, the second student runs at a speed of 160 feet per minute, in time t minutes, he moves a distance of d' = 160t.

Since they are initially 10 feet apart, their total distance apart after t minutes is D = d + 10 + d'

D = 180t + 10 + 160t

D = 340t + 10

<h3>Number of minutes before they are 1870 feet</h3>

Making t subject of the formula, we have

t = (D - 10)/340

Since they are 1870 feet apart after t minutes, D = 1870 feet.

t = (D - 10)/340

t = (1870 - 10)/340

t = 1860/340

t = 5.47 minutes

So, the number of minutes that would pass before they were 1870 feet apart is 5.47 minutes

Learn more about minutes of distance apart here

brainly.com/question/8783264

7 0
2 years ago
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