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maxonik [38]
4 years ago
8

Are the two expressions equivalentry when x=4 4(2+3x) 8+12x

Mathematics
1 answer:
Katarina [22]4 years ago
7 0
The answer is 496.
4x[2+3(4)]x8+[12(4)]
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In 2000, Carl’s Candy Shop sold gummy bears for $0. 38 per pound, and in 2008 they cost $0. 72 per pound. Let y represent the co
tamaranim1 [39]

The linear function that represent the cost per pound of the gummy bears in x years after 2000 is given by:

y(x) = 0.0425x + 0.38

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, which can also be interpreted as the initial value of the function.

In this problem, we have that:

  • In 2000, Carl’s Candy Shop sold gummy bears for $0. 38 per pound, hence b = 0.38.
  • In 2008 they cost $0.72 per pound, that is, in 8 years there was an increase of $0.34 per pound, hence the slope is m = 0.34/8 = 0.0425.

Thus, the function is:

y(x) = 0.0425x + 0.38

More can be learned about linear functions at brainly.com/question/24808124

3 0
2 years ago
Identify an equation in point-slope form for the line perpendicular to
bixtya [17]

Answer:

y=-.5x-7

Step-by-step explanation:

y=-.5x-7 passes through (-2,-6)

6 0
3 years ago
You have a bag of 12 marbles. Four are blue, 6 are green, 2 are red, and the others are yellow. What is the probability of drawi
8090 [49]

Answer:

Probability = \frac{1}{11}

Step-by-step explanation:

Given

Blue = 4

Green = 6

Red = 2

Total = 12

Required

Determine the probability of drawing red and green without replacement

This is calculated as follows:

Probability = P(Red\ and\ Green)

Probability = P(Red)\ and\ P(Green)

Probability = \frac{n(Red)}{Total} * \frac{n(Green)}{Total - 1}

We used Total - 1 because it's a probability without replacement:

Probability = \frac{2}{12} * \frac{6}{12- 1}

Probability = \frac{2}{12} * \frac{6}{11}

Probability = \frac{1}{6} * \frac{6}{11}

Probability = \frac{1}{11}

<em>Hence, the required probability is 1/11</em>

5 0
3 years ago
Use the information given in the diagram. Tell why UW=UW and UVW=WXU.
kow [346]

Answer:

The correct option is D.

Step-by-step explanation:

Given the figure in which UV=XW, UX=VW and ∠UXW=∠UVW.

We have to tell why UW=UW and ∠UVW=∠WXU.

As the reflexive property of equality states that a value is equal to itself.

Hence, in quadrilateral UVWX,

UW is equal to UW by reflexive property

∠UVW=∠WXU as given

hence, UW=UW and ∠UVW=∠WXU by reflexive property and given in diagram.

The correct option is d)

5 0
3 years ago
Read 2 more answers
What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the
marishachu [46]
The sum of all the measurements is just the average times the number.

\bar x = \frac{1}{n} \sum_{i=1}^n x_i

\sum_{i=1}^n x_i = n \bar x

So if the average of all 92 is 7 the sum of those is 92 \times 7

The average of the last two is 7.2 so their sum is 2 \times 7.2

That means the sum of the first 90 is 92 \times 7 - 2 \times 7.2

so the average of the first 90 is

 \dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556 cm



7 0
3 years ago
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