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pochemuha
3 years ago
15

The function

Mathematics
1 answer:
kumpel [21]3 years ago
3 0
<h3>Answer:</h3>

The rate of change in the 2nd 3-year interval is 3.375 times that in the 1st 3-year interval.

<h3>Explanation:</h3>

The exponential function tells you that each year values get multiplied by 1.5. Then after thee years, values are multiplied by 1.5³ = 3.375. This is true for all function values, including average rate of change. Whatever the rate of change is in years 0–3, it will be 3.375 times that in years 3–6.

The calculation performed by the graphing calculator confirms this:

... the average rate of change in years 3–6 is 160.3125; in years 0–3, it is 47.5.

The ratio of these average rate of cange values is 3.375.

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Solve 3x − 2y = −21 and 2x + 5y = 5 using elimination
nydimaria [60]

Answer:

x = -5 and y = 3

Step-by-step explanation:

There are two equations :

3x − 2y = −21 ....(1)

2x + 5y = 5 ......(2)

Multiply equation (1) by 2 and equation (2) by 3.

6x - 4y = -42 ...(3)

6x + 15y = 15 ....(4)

Subtract equation (4) from (3) :

6x - 4y - (6x + 15y) = -42 -15

-4y -15y = -57

-19y = -57

y = 3

Put y = 3 in equation (2) :

2x + 5(3) = 5

2x = 5-15

2x = -10

x = -5

So, the value of x is (-5) and y = 3.

6 0
3 years ago
Patricia is making two sizes of hamburgers: 0.5 pound and 0.25 pound. How many of each size of hamburger could she make with 3.7
e-lub [12.9K]

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of hamburgers of 0.5 pounds

y-----> the number of hamburgers of 0.25 pounds

we know that

The inequality that represent the situation is equal to

0.5x+0.25y\leq3.75

The solution of the inequality is the triangular shaded area

see the attached figure

3 0
3 years ago
one number is four times as large as another if the numbers are added together the result is six less than seven times the small
liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

4x + x = 7x - 6\\5x =  7x - 6\\-2x = -6\\x = 3

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

4 0
3 years ago
You have a bag of marbles. 4 are blue, 3 are red, 2 are green, 2 are yellow are 4 are purple. What is the probability that you p
valkas [14]

Answer:

2/35

Step-by-step explanation:

There are 15 marbles in total.

\frac{4\\}{15} ×\frac{3}{14}

The answer would be \frac{2}{35}.

6 0
3 years ago
Read 2 more answers
P ( rolling a 5 or rolling a 4 ) on a die or fair number cube. Find the probability of these mutually exclusive events.​
pentagon [3]

Answer: I believe it the probability of this would be 1/3.

Step-by-step explanation: This is mainly because if the chances of rolling a 5 or a 4 on a die or fair numbered cube, which contains 6 sides, then landing on 5 or 4 would be 2 out of the six chances it would land on those two numbers. Hope this helps!

3 0
3 years ago
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