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3 years ago

Your answer should be a polynomial in standard form. (q^2-2q+5)(q^2-5)=

Mathematics

1 answer:

AnnyKZ [126]3 years ago

8 0

Answer:

q⁴ - 2q³ + 10q - 25

Step-by-step explanation:

Step 1: Write out expression

(q² - 2q + 5)(q² - 5)

Step 2: Distribute

q⁴ - 2q³ + 5q² - 5q² + 10q - 25

Step 3: Combine like terms

q⁴ - 2q³ + 10q - 25

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A spice store charges $2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order

zlopas [31]

Answer:

Part a) The expression is $3.2445x$

Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

Step-by-step explanation:

The complete question is

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a) Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

Convert grams to ounces

Remember that

$1\ oz=28\ g$

To convert grams to ounces divide by 28

$25\ g=25/28= 0.89\ oz$

The unit price is

$2.75/0.89=3.09\frac{\$}{oz}$

Let

x ----> the number of ounces of paprika

y ----> the cost of buying and shipping x ounces of paprika

5%=5/100=0.05

$y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x$

Part b) For x=2.5 oz

substitute in the equation

$y=3.2445(2.5)=\$8.11$

$\$8.11 > \$8.00$

therefore

Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00

3 0

3 years ago

Write a system of linear equations for the graph below

Goshia [24]

Answer:

$\left \{{{y=3-\frac{x}{3} }\atop { y=-2x-2}} \right.$

Step-by-step explanation:

$(-3,4),(0,3)\\y=3-\frac{x}{3} \\(-3,4),(0,-2)\\\\y=-2x-2$

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3 years ago

True or False? k = 3 over 4 is a solution to the inequality 12k + 2 < 12.

Kaylis [27]

The answer is false
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3 years ago

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Using the given points, write a Linear Equation in Slope Intercept form. (0, 3) and (-5, 6) Show work to determine the slope on

Sophie [7]

Find slope: (y2-y1)/(x2-x1)
(6-3)/(-5-0) = 3/-5 = -3/5
Equation: y = -3/5x + b
Plug in a point
3 = -3/5(0) + b, b = 3
Solution: y = -3/5x + 3

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3 years ago

5. What is the equation of the line with slope 3 and y-intercept -5?

ValentinkaMS [17]

Answer:

y = 3x -5

Step-by-step explanation:

Use the slope-intercept form:

y = (slope)x + intercept

slope = 3

intercept = -5

Equation in slope-intercept form:

y = 3x -5

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3 years ago

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