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Serggg [28]
3 years ago
11

Alonzo's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Alonzo $4.20 per pound, and typ

e B coffee costs $5.70 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $468.00 . How many pounds of type A coffee were used?
Mathematics
1 answer:
KIM [24]3 years ago
5 0
B=2A
4.2A+5.7(2A)=468
15.6A=468
A=30 pounds
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Consider the function g defined by g(x) = x(10 – Ax), A > 0. voer g in Without doing any iterations, determine the non-zero f
notka56 [123]

Answer:

The only non-zero fixed point is:  x = 9/A.

The Step-by-step explanation:

A fixed point of a function is a points that is mapped to itself by the function; g(x) = x. Therefore, in order to find the fixed point of the given function we need to solve the following equation:

g(x) = x

x(10 - Ax) = x

10x - Ax² = x

10x - x -Ax² = 0

9x - Ax² = 0

Ax² - 9x = 0

The solutions of this second order equation are:

x = 0 and x = 9/A.

Since we are only asked for the non-zero fixed points, the solution is: 9/A.

7 0
3 years ago
A direct variation function includes the ordered pair (4, 5). Which statement is true? The constant of variation k is mc001-1.jp
devlian [24]
A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
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Substituting the given values in the ordered pair,
                           5 = k(4)   ; k = 5/4
7 0
3 years ago
Read 2 more answers
In Lexie's art bag there are 11 green colored pencils, 7 blue colored pencils, and 3 red colored pencils. What is the ration of
melamori03 [73]

Answer: 11:7

Step-by-step explanation:

Number of green colored pencils=11

Number of blue colored pencils= 7

Number of red colored pencils= 3

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Ratio of green colored pencils to blue colored pencils= 11:7

7 0
3 years ago
If you are a student with no assets of any value and have liability insurance on an old car that pays a maximum of $50,000 per a
svetoff [14.1K]

Answer:

D

Step-by-step explanation:

they will sue for the rest of the money, because they are entitled to it if you are the cause of an accident.

6 0
3 years ago
The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct
lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

y=\dfrac{x}{1+x}

Point P\left(1,\dfrac{1}{2}\right) lies on the curve.

Point Q\left(x,\dfrac{x}{1+x}\right) is an arbitrary point on the curve.

The slope of the secant line PQ is

\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]

1. If x=0.5, then the slope is

\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333

2. If x=0.9, then the slope is

\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632

3. If x=0.99, then the slope is

\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513

4. If x=0.999, then the slope is

\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501

5. If x=1.5, then the slope is

\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2

6. If x=1.1, then the slope is

\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381

7. If x=1.01, then the slope is

\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488

8. If x=1.001, then the slope is

\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499

7 0
3 years ago
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