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mixas84 [53]
3 years ago
7

The price of a bag of candy is a linear function of the amount of candy in the bag. A bag containing 25 pieces costs $0.99 and a

bag containing 100 pieces costs $3.99. Write the function that models this situation. Express your answer in y = mx + b form, using decimals. Round decimal values to the nearest hundredth.
Mathematics
1 answer:
koban [17]3 years ago
3 0
When two values are given for a linear function, it is easier to obtain the equation using the two-point form, namely
(y-y1)=m(x-x1)  where
m=slope=(y2-y1)/(x2-x1)
and
(x1,y1) and (x2,y2) are the given two points.

Here
(x1,y1)=(25,0.99), and
(x2,y2)=(100,3.99)
Find slope, m=(y2-y1)/(x2-x1)=(3.99-0.99)/(100-25)=3/75=0.04
Find equation:
(y-y1)=m(x-x1) 
(y-0.99)=0.04(x-25)
Expand and simplify:
y=0.04x-1+0.99 , simplify
y=0.04x-0.01..............................Function that models the situation
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7 0
3 years ago
What is the completely factored form of d4 − 81?
lilavasa [31]

For this case we must factor the following expression:

d ^ 4-81

Rewriting the expression:

(d ^ 2) ^ 2-9 ^ 2

We factor using the formula of the square difference:

a ^ 2-b ^ 2 = (a + b) (a-b)

Where:

a = d ^ 2\\b = 9

So:

(d ^ 2 + 9) (d ^ 2-9)

From the second term we have:

d ^ 2-3 ^ 2 = (d-3) (d + 3)

Finally, the factored expression is:

(d ^ 2 + 9) (d-3) (d + 3)

Answer:

(d ^ 2 + 9) (d-3) (d + 3)

4 0
3 years ago
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What is the product? One-eighth times three-elevenths 3 over 88 1 over 22 4 over 19 35 over 88
kipiarov [429]

Answer:

\frac{3}{88}

Step-by-step explanation:

Given

One-eighth times three-elevenths

Required

Solve

One-eighth means 1/8

Three-elevenths means 3/11

So, mathematically; the above expression is represented as thus:

\frac{1}{8} * \frac{3}{11}

To solve this, we simply multiply the numerator and the denominator together.

After multiplying these together, the next is to check if the resulting can be simplified

If yes,we simplify it and if otherwise, we live it like that.

So,

\frac{1}{8} * \frac{3}{11}

=\frac{1 * 3}{8 * 11}

= \frac{3}{88}

At this point, the fraction can't be simplified any further.

Hence,

\frac{1}{8} * \frac{3}{11} = \frac{3}{88}

3 0
3 years ago
HELPPPP PLZ<br> Witch statement is true about the value of |6|?
exis [7]

Answer:

The third choice is the correct one.

Step-by-step explanation:

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8 0
3 years ago
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Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph, if they
Kruka [31]

Given :

Peter velocity , P = 30 mph .

Mitchell velocity , M = 40 mph .

Mitchell leaves 15 min later .

To Find :

If they drive along the same route how long will it take Mitchell to catch Peter.

Solution :

Distance covered by Peter in 15 min .

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Let , time taken is x .

So , distance covered b them is equal :

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