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andreev551 [17]
3 years ago
5

Brianna wants to buy a digital camera for a photography class. One store offers the camera for $50 down and a payment plan of $2

0 per month. The payment plan for a second store is described by y 15x+ 80, where y is the total cost in dollars and x is the number of months. Which camera is cheaper when the camera is paid off in 12 months? Explain.
Mathematics
1 answer:
Archy [21]3 years ago
5 0

Step-by-step explanation:

To answer this question, we have to use the same equation for each payment plan:

1. y = 20x + 50

2. y = 15x + 80

If x = 12, answer to the first equation would be y = 290

20 x 12 = 240   and   240 + 50 = 290

And the answer to the second equation would be y = 260

15 x 12 = 180   and   180 + 80 = 260

So, the second payment plan is cheaper by 30 dollars!

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The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet
nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

f(x)=3(x-2)+4

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval [a,b] is given as :

\frac{f(b)-f(a)}{b-a}

For the given function we need to find the average rate of change between 2nd year and 6th year. [2,6]

So, we have:

f(2)=3(2-2)+4=3(0)+4=4

f(6)=3(6-2)+4=3(4)+4=12+4=16

Thus, average rate of change will be:

\frac{f(6)-f(2)}{6-2}

⇒ \frac{16-4}{6-2}

⇒ \frac{12}{4}

⇒ 3

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0
3 years ago
Which one of the following reasons does NOT explain why 4x+5y≠9xy?
viva [34]
<h3>The terms 4x and 5y has different variable present in it. 4x + 5y \neq 9xy</h3>

<em><u>Solution:</u></em>

Given that,

4x + 5y \neq 9xy

<em><u>The reason is:</u></em>

When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable

Which means,

4x + 10x = 14x

But,

We cannot add terms that has different variable

Which means,

4x + 5y

Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together

4x+5y\neq 9xy

6 0
2 years ago
1.Find the dot product of the two given vectors, u=(1,6) and v=(-5,-2) 2. Find the dot product of v=-7i+4j and w=-6i+5j
Svet_ta [14]
The dot product of the two vectors will be given as follows:
v*w=(-7i+4j)*(-6i+5j)
=(-7*(-6))i+(4*5)j
=-42i+20j

Hence the answer is:
v*w=(-42i+20j)
8 0
3 years ago
Read 2 more answers
Solve −x+5≤4 or 2x+3≥−1 and write the solution in interval notation.
serg [7]

Answer:

Step-by-step explanation:

\left \{ {{-x+5\leq 4} \atop {2x+3\geq -1}} \right.   ⇒ x\geq 1\\2x\geq 4\\x\geq -2

or

x \geq -2\\(-2,+ { \infty} ) (Answer)

6 0
2 years ago
Kyra has a rock collection.When she puts her rocks into 2 equal piles,there are no rocks left over.When she puts her rocks into
liubo4ka [24]

any multiple of 12

Since 2, 3 and 4 divide exactly into the number of rocks

We are looking for the common multiples of 2, 3 and 4

2 × 3 × 4 = 24 is possible but dividing by 2 gives 12 the lowest common multiple

Any multiple of 12 gives a possible number of rocks.



8 0
3 years ago
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