The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.
Answers
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
Answer:
Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).
Step-by-step explanation:
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A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same rate, how much would 18 apples cost? b. How many apples could you buy for $5.00? c. What is the unit cost per apple?
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so let x be purchase will she be able to make without having to use her credit card
x >= $ 90
Answer:
Step-by-step explanation:
six puzzles for $11.99 each and a board game for $15.89
Answers
Answer:
x= the numerator
3/7 = x/20
7x=20*3
7x=60
x=60/7
equivalent fraction of 3/7 having denominator 20: 3/7 =
we check:
(60/7)/20= 60/7*20 = 60/140 =6/14 =3/7
Step-by-step explanation:
Answers
- A centi unit (centi-) is equal to 1/100th or 0.01 of the base unit. For example, 1 centimeter (cm) is equal to 0.01 meters (m).
- A milli unit (milli-) is equal to 1/1,000th or 0.001 of the base unit. For example, 1 millimeter (mm) is equal to 0.001 meters (m).
So, the difference between a centi unit and a milli unit is that a centi unit is 10 times larger than a milli unit. In other words, there are 10 milli units in 1 centi unit.
2x − 6y + 3x2 + 7y − 14x
Answers
Answers
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 35: 1, 5, 7, 35
Out of those factors, we can see that 1 and 7 are the common factors, but 7 is the greatest which makes it our GCF.
Now we can divide the numerator and the denominator by the GCF to receive our simplest form.
28 ÷ 7 = 4
35 ÷ 7 = 5
Rewrite the fraction with the new numerator (4) and the new denominator (5).
The simplest form is: 4/5 or 0.8.
1. . .
Half of the number. . .
The difference of the number and itself
Answers
x : x = 1
Answer: B ) 1