What are two numbers that multiply to -20 and add up to 1?
Answers
x + y = 1
x + y = 1
x - x + y = -x + 1
y = -x + 1
xy = -20
x(-x + 1) = -20
x(-x) + x(1) = -20
-x² + x = 20
-x² + x + 20 = 0
-1(x²) - 1(-x) - 1(-20) = 0
-1(x² - x - 20) = 0
-1 -1
x² - x - 20 = 0
x = -(-1) ± √((-1)² - 4(1)(-20))
2(1)
x = 1 ± √(1 + 80)
2
x = 1 ± √(81)
2
x = 1 ± 9
2
x = 0.5 ± 4.5
x = 0.5 + 4.5 or x = 0.5 - 4.5
x = 5 or x = -4
x + y = 1
5 + y = 1
- 5 - 5
y = -4
(x, y) = (5, -4)
or
x + y = 1
-4 + y = 1
+ 4 + 4
y = 5
(x, y) = (-4, 5)
The two numbers that add up to 1 and multiply to -20 are -4 and 5.
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A handyman company serves customers from two cities 50 miles apart, Jonesville and Bellevue. The company would like to position a new of
Answers
Answer: Use PEMDAS. 11^2 (11 times 11) = 121.
2^2 (2 times 2) = 4
121 x 4 = 484
Step-by-step explanation:
Using the Pemdas method, you can solve the equation.
B) y = 4x + 11
C) y = 4x + 7
D) y = 4x - 7
Answers
Answer:
The answer is the option B
Step-by-step explanation:
we know that
The equation of the line into slope point form is equal to
in this problem we have
substitute
---> equation of the line into slope point form
isolate the variable y
---> equation of the line into slope intercept form
Answer: B) y = 4x + 11
B. 40
C. 31
D. 20
E. 4
Answers
Calculating the value of f(x) for the given interval.
For x = - 4, f(x) = f(- 4) = (- 4)^2 + 2 (- 4) + 3 = 11
For x = 6, f(x) = f(6) = (6)^2 + 2 (6) + 3 = 51
Now using formula for the calculation of average rate of change of f(x) over the given interval of [- 4, 6];
(f(b) – f(a)) / b – a = (f(6) – f(- 4)) / 6 – (- 4) = (51 -11) / 10 = 4
So option “E” is correct.
Answers
For Example:
Let's say that I said an even number plus an odd number always equals an even number. A counterexample of that would be 4 + 5 = 9, because 9 is odd, therefore proving the statement wrong.
Answers
Answer: 0.0033
Step-by-step explanation:
Let x be a random variable that denotes the weights of cows.
Given:
maximum weight can be hold= 2840 pounds.
Mean weight = = 568 pounds
The probability their total weight will be over the maximum allowed of 2840
=
Hence, the required probability = 0.0033
Answers
For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.
What is inequality?
Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
The cost in dollars C(x) = 10 + 0.20x.
The revenue in dollars, R(x) = 0.50x.
For revenue to outpace cost
R(x) > C(x)
0.50x > 10 + 0.20x
0.50x - 0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333
Hence, For the income to exceed the cost, a minimum of 34 complete cups of lemonade must be sold.
Learn more about inequality here:
#SPJ2
0.50x > 10 + 0.20x
0.50x - 0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333
Therefore the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost is 34.