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2 years ago

Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used

1 answer:

3 0

Given that Jim uses the function f(x) = 0.7x + 23 to determine the amount he charges for each used drone he sells, where x is the original value of the drone and that the function g(x) = 1.08x is used to determine the amount a customer pays for a drone at Jim’s store including 8% sales tax.

 The function to determine the total amount a customer pays for a used drone at Jim’s store including 8% sales tax is given by

f(x) + g(x) = 0.7 + 23 + 1.08x = 1.78x + 23.

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Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can tr

Murrr4er [49]

Answer:

288 gallons ÷ 6 miles = 48 miles per gallon

48 miles per gallon • 7 miles = 366 miles

Step-by-step explanation:

7 0

1 year ago

Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items wer

Tomtit [17]

See the attached figure
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After 3 days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is 27.

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Explanation of the answer:
The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph

The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph

The point of intersection represents the total number of belts sold will be the same as the total number of wallets sold.

8 0

2 years ago

Read 2 more answers

given the points A(-3,-5) and B (5,0), find the coordinates of the point P on a directed line segment AB that partitions AB in t

Sonja [21]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ A(-3,-5)\qquad B(5,0)\qquad \qquad \stackrel{\textit{ratio from A to B}}{2:3} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,-5)=2(5,0)\\\\[-0.35em] \rule{31em}{0.25pt}\\\\ P=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em] \rule{31em}{0.25pt}$

$\bf P=\left(\cfrac{(3\cdot -3)+(2\cdot 5)}{2+3}\quad ,\quad \cfrac{(3\cdot -5)+(2\cdot 0)}{2+3}\right) \\\\\\ P=\left( \cfrac{-9+10}{5}~~,~~\cfrac{-15+0}{5} \right)\implies P=\left(\frac{1}{5}~,~-3 \right)$

8 0

2 years ago

Read 2 more answers

Select all radical expressions that are equivalent to 3 4/7 Sorry for the bad quality!!

AnnZ [28]

Answer:

$(\sqrt[7]{3} )^{4}$

Step-by-step explanation:

The only radical that matches the equivalent answer is the fifth one down. We can easily eliminate the radicals without exponents on the outside, since we know they won't create leftover fractions. So that leaves us with the second, fourth and fifth answers to contemplate.

Let's look at $(\sqrt[4]{3} )^{7}$ and $\sqrt[4]{3^{7} }$ first. It's good to know that these are equivalent radicals. The numbers are the same, and they will produce the same answers.

When you do the math, the exponent rule gives us fractions of $\frac{7}{4}$ for exponents, and eventually, a $3 * 3^{\frac{3}{4} }$ for both answers. So these are eliminated.

Now, for $(\sqrt[4]{3}^{7}$ , we can easiy simplify by changing the 7th root to a fraction in our exponent. Use the rule: $\sqrt[n]{x} = x^{\frac{1}{n} }$

$(3^{\frac{1}{7} } )^{4}$
Multiply the exponents: $\frac{1}{7} * 4 = \frac{4}{7}$
Insert the product into the exponent: $3^{\frac{4}{7} }$

And we can see the answer we're looking for! If you use this method to look at the other problems, you'll see that this is the only radical that simplifies to the required answer.

5 0

2 years ago

Read 2 more answers

A square has an area of 50 square feet what is the perimeter of the square rounded to the nearest foot

dezoksy [38]

Answer:

28 feet

Step-by-step explanation:

area of a square = side times side; the sides are equal

50 = side times side or 50 = side^2

sqroot of 50 = sqroot of side^2

7 feet is about the size of the side of the square so using that information..

2 length + 2 width or 4 side

4 times 7 = 28

the perimeter is 28 feet

8 0

2 years ago