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LekaFEV [45]
3 years ago
6

Is 4y^2 + 9 = -4 a linear equation?

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

  No.

Step-by-step explanation:

The exponent of y is 2, which is not 1, so the equation is 2nd degree, <em>not linear</em> (1st degree).

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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
rusak2 [61]

The answer is incomplete. Here is the complete question:

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer:

Part 1: 25x\geq 600

Part 2: 15y\geq 600

Part 3: y\leq 40

Part 4: Yes, she makes exactly 600 dollars by making 40 pies.

Step-by-step explanation:

Given:

Total money needed for the trip is 600 dollars.

Money earnt by Jamie for washing one car is $25.

Money earnt by Stella for making one pie is $15.

Let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1:

Since the cost for washing one car is $25

Therefore, the cost of washing x cars is 25x.

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600.

Therefore, 25x\geq 600

Part 2:

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600.

Therefore, 15y\geq 600

Part 3:

As per the question, the maximum number of pies that Stella can make is 40. So, the value of y can't exceed 40 and must be less than or equal to 40. Therefore,

y\leq 40

Part 4:

Now, in order to sign up for the trip, Stella's total earning must be at least $600. So, 15y=600 is the minimum condition for signing up for the trip. Now, let us solve the above equation for y. This gives,

15y=600\\y=\frac{600}{15}=40

Therefore, minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

8 0
3 years ago
2/4 notes equal to how many eighth notes
natali 33 [55]

Answer:

Two eighth notes equal one quater note in duration.

Step-by-step explanation:

3 0
2 years ago
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Enter the explicit rule for the sequence
Softa [21]
Let's take a look at the first few numbers in the sequence based on the given rule:

a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)

Inspecting this pattern it seems like the power \frac{1}{4} is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be \big(\frac{1}{4} \big)^{n-1}. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

a_n=6\big( \frac{1}{4} \big)^{n-1}

Where a_n is the nth number in our sequence.
8 0
3 years ago
Which is the graph of g(x)?
Solnce55 [7]

Answer:

the answer is letter D

Step-by-step explanation:

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2 years ago
How do you find the radius of a circle​
tia_tia [17]

Answer:

To calculate the radius of a circle by using the circumference, take the circumference of the circle and divide it by 2 times π.

3 0
3 years ago
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