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mina [271]
3 years ago
14

Sarah Meeham blends coffee for​ Tasti-Delight. She needs to prepare 100 pounds of blended coffee beans selling at $4.58 per poun

d. She plans to do this by blending together a high quality bean costing $5.25 per pound and a cheaper coffee bean at $3.00 per pound. To the nearest pound find how much high quality coffee bean and cheaper coffee bean she should blend.
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0
The high quality coffee bean and cheaper coffee bean should blend at 14.3lbs
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When a polynomial f(x) is divided by 2x-3,the quotient is x^2-x+2 and the remainder is -1. Find the f(x)​
joja [24]

Answer:

f(x) = 2x³ - 5x² + 7x - 7

Step-by-step explanation:

In the division statement: m ÷ n = q + \frac{r}{n}

  • m is the dividend
  • n is the divisor
  • q is the quotient
  • r is the remainder
  • m = q × n + r

Let us use the fact above to solve the question

∵ f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1

∴ f(x) is the dividend ⇒ m

∴ (2x - 3) is the divisor ⇒ n

∴ (x² - x + 2) is the quotient ⇒ q

∴ -1 is the remainder ⇒ r

→ Use the rule above to find f(x)

∵ f(x) = (x² - x + 2) × (2x - 3) + -1

∴ f(x) = (x² - x + 2)(2x - 3) - 1

→ Multiply the 2 brackets at first

∵ (x² - x + 2)(2x - 3) = x²(2x) + x²(-3) + -x(2x) + -x(-3) + 2(2x) + 2(-3)

∴ (x² - x + 2)(2x - 3) = 2x³ - 3x² - 2x² + 3x + 4x - 6

→ Add the like terms

∴ (x² - x + 2)(2x - 3) = 2x³ + (-3x² - 2x²) + (3x + 4x) - 6

∴ (x² - x + 2)(2x - 3) = 2x³ + (-5x²) + 7x - 6

∴ (x² - x + 2)(2x - 3) = 2x³ - 5x² + 7x - 6

→ Substitute it in f(x)

∴ f(x) = 2x³ - 5x² + 7x - 6 - 1

→ Add the like term

∵ f(x) = 2x³ - 5x² + 7x + (- 6 - 1)

∴ f(x) = 2x³ - 5x² + 7x + (-7)

∴ f(x) = 2x³ - 5x² + 7x - 7

3 0
3 years ago
What is the zero if the function ?
pychu [463]

The answer to that one is C

5 0
2 years ago
Chin canned a number of quart jars and a number of pint jars of tamoatoes from his garden a pint is 16 ounces and a quart us 32
natulia [17]
The total volume of the canned tomato sauce is equal to the sum of those canned in quart jars (32 ounces) and the number of pint jars (16 ounces). If we let p and q be the number of pints and quarts canned, the equation that would best represent the given is,
                                    32q + 16p = 1280
Simplifying the equation by dividing by 16 will give us the final answer of,
                                   2q + p = 80
7 0
3 years ago
Read 2 more answers
A tortilla maker produces 100 tortillas in half an hour. if he works from 9 am to 5 pm with a one hour lunch and two 15-minute b
ira [324]
The answer is 1300 i think,
hope it helps!
3 0
3 years ago
Read 2 more answers
Help, please! This question may take some time to answer.
tatyana61 [14]

Answer:

0.15-0.75p? YES

-0.45-0.6+0.75P? NO

-3(-0.05+0.25p)? YES

-3(0.15)+(-3)(0.2)+(-3)(0.25p)? NO

Step-by-step explanation:

-3(0.15-0.2+0.25p)

=-0.45+0.6-0.75p

=0.15-0.75p

1. 0.15-0.75p=0.15-0.75p? YES

2. -0.45-0.6+0.75P=0.15-0.75p?

-1.05+0.75p=0.15-0.75p? NO

3. -3(-0.05+0.25p)=0.15-0.75p?

0.15-0.75=0.15-0.75p? YES

4. -3(0.15)+(-3)(0.2)+(-3)(0.25p)=0.15-0.75p?

-0.45-0.6-0.75p=0.15-0.75p?

-1.05-0.75p=0.15-0.75p? NO

7 0
2 years ago
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