Carson has $450 in his bank account and deposits $70 per month out of his babysitting money. Construct a linear function that models Carson’s bank balance for any given month.

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Answer 1

Answer: 450 + 70x, where x is the number of months that carson works and 450 is the initial amount of money in his bank account

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What’s the perimeter and area?

Answers

Answer:

Perimeter= 34a

Area= 42a

Step-by-step explanation:

Perimeter: 3a + 3a + 3a+ 3a +3a + 5a +5a + 9a = 34a

Area: (3a x 9a) + (3a x 5a) = 42a

The following function defines a recessive sequence:f(0) = -4
f(1) = 12

f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function?
A) -4, 12, -28, 60, …
B) -4, -12, -28, -60, …
C) -4, 12, -18, 54, …
D) -4, 12, -18, -54, …

Answers

$f(0)=-4\nf(1)=12\n\nf(n)=-3f(n-1)-2f(n-2)\n\nf(2)=-3f(2-1)-2f(2-2)=-3f(1)-2f(0)=-3\cdot12-2\cdot(-4)\n=-36+8=-28\n\nf(3)=-3f(3-1)-2f(3-2)=-3f(2)-2f(1)=-3\cdot(-28)-2\cdot12\n=84-24=60\n\nAnswer:A)\ -4;\ 12;-28;\ 60;...$

Alexander went to the store to buy some walnuts. The price per pound of the walnuts is $8 per pound and he has a coupon for $1 off the final amount. With the coupon, how much would Alexander have to pay to buy 2 pounds of walnuts? Also, write an expression for the cost to buy pp pounds of walnuts, assuming at least one pound is purchased.

Answers

Final answer:

Alexander would have to pay $15 for 2 pounds of walnuts after using the coupon. The expression for the cost to buy p pounds of walnuts is (8 * p) - 1.

Explanation:

The price per pound of walnuts that Alexander is buying is $8. If he is buying 2 pounds, without the coupon he would have to pay 2 * $8 = $16. But since he has a $1 off coupon, he would have to pay $16 - $1 = $15.

To formulate an expression for the cost to buy p pounds of walnuts, we consider that each pound costs $8 and there is a $1 off from the total price. So for p pounds, the expression would be (8 * p) - 1.

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Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.

What is a cost function?

The functional connection between cost and output is referred to as the cost function. It examines the cost behaviour at various output levels under the assumption of constant technology. An essential factor in determining how well a machine learning model performs for a certain dataset is the cost function. It determines and expresses as a single real number the difference between the projected value and expected value.

Given that, the price per pound of walnuts is $8.

2 pounds x $8/pound = $16

Alexander would get $1 off the final amount.

Thus,

$16 - $1 = $15

So Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon.

The expression for the cost can be written as:

cost = ($8/pound) x pp - $1

Hence, Alexander would have to pay $15 to buy 2 pounds of walnuts with the coupon. The expression is cost = ($8/pound) x pp - $1.

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Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain.

Answers

no, tony is not correct. solving the inequality tells us that x is greater than or equal to 37.5. since the class must wash a whole number of cars, they need to wash at least 38 cars.

Answer:

Sample Response: No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

Tanx cosx = 0i believe you have to use the cancellation method. you turn tanx into sinx/cosx times cos but i dont know where to go from there

Answers

You're almost finished.

(sin/cos) times cos = 0

Look at the left side. You could write it as (sin x cos) / cos = 0
and simply divide numerator and denominator by the cosine (cancel it).

Then what do you have left ? . . . sin(x) = 0 Do I need to finish this for you ?

The distributive property states that the product of a term and a sum is equal to

Answers

Answer:

Sum of products

Step-by-step explanation:

This is saying a(b + c), and this equals ab + ac so it is a sum of products.

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