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poizon [28]
2 years ago
13

Ally and Beth are at the grocery store. Ally buys a container of milk for $4 and 4.75 pounds of apples. Beth buys a box of cerea

l for $3 and 5.5 pounds of apples. If the two shoppers spend the same amount, how much does 1 pound of apples cost?
Mathematics
1 answer:
MArishka [77]2 years ago
3 0

Answer:

$1.33

Step-by-step explanation:

let the cost of apple be $x .

now according to question the two shoppers spend the same amount

4.75x+4=5.5x+3

0.75x=1

x= 4/3= $1.33

therefore,  pound of apples cost = $1.33

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Hey, I need help with questions 1 and 2, if anyone can help, please? thanks!
Eva8 [605]

The correct works are:

  • Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3.
  • \frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

<h3>Function Notation</h3>

The function is given as:

Blue(s) = 2s^2 + 3

The interpretation when Steven is asked to calculate Blue(s + h) is that:

Steven is asked to find the output of the function Blue, when the input is s + h

So, we have:

Blue(s + h) = 2(s + h)^2 + 3

Evaluate the exponent

Blue(s + h) = 2(s^2 + 2sh + h^2) + 3

Expand the bracket

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

So, the correct work is:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

<h3>Simplifying Difference Quotient</h3>

In (a), we have:

Blue(s + h) = 2s^2 + 4sh + 2h^2 + 3

Blue(s) = 2s^2 + 3

The difference quotient is represented as:

\frac{f(x + h) - f(x)}{h}

So, we have:

\frac{Blue(s + h) - Blue(s)}{h} = \frac{2s^2 + 4sh + 2h^2 + 3 - 2s^2 - 3}{h}

Evaluate the like terms

\frac{Blue(s + h) - Blue(s)}{h} = \frac{4sh + 2h^2}{h}

Evaluate the quotient

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Hence, the correct work is:

\frac{Blue(s + h) - Blue(s)}{h} = 4s + 2h

Read more about function notations at:

brainly.com/question/13136492

4 0
2 years ago
Given the equation -2x + 8y = 24, determine the x- and y-intercepts. PLZ HELP???
attashe74 [19]

Answer:

x=(-12,0)

y=(0,3)

Step-by-step explanation:

<u><em>x-intercept</em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

x=4y-12

x=4(0)-12

x=-12

<u><em>y-intercept </em></u>

-2(x-4y)=24

x-4y=-\frac{24}{2}

x-4y=-12

-4y=-12-x

y=-\frac{-12-x}{4}

y=-\frac{-12-(0)}{4}

y=\frac{12}{4}

y=3

5 0
3 years ago
HELP ASAP <br><br><br> Find the Difference. SHOW YOUR WORK<br><br> 3x + 5 - (2x + 2)
REY [17]

Answer:

3x + 5 - (2x + 2)

3x + 5 -2x-2

x+3

Step-by-step explanation:

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One is significantly fatter than the other and has more friction
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fomenos

Answer:

Eg would be 10.6 because its the same length as EF

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