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2 years ago

The sum of two numbers is 84. The square of the first number is 6 more than the second number.

Mathematics

1 answer:

DerKrebs [107]2 years ago

4 0

The system of equations to find the value of x, the first number, and y, the second number are;

<h3>System of equation</h3>

The system of equation are equations that contains more than two equation and unknown.

Let the two unknown numbers x and y

If the sum of two numbers is 84, hence;

x +y = 84

y = -x + 84

If the square of the first number is 6 more than the second number, hence;

x² = y + 6

Substitute equation 2 into 2 to have:

x² = y + 6

x² = (-x+84) + 6

x² = -x+84 + 6

x² +x+84 + 6 = 0

x² +x + 90 = 0

Hence the system of equations to find the value of x, the first number, and y, the second number are;

Learn more on system of equation here; brainly.com/question/12861087

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gogolik [260]

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Step-by-step explanation:

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3 years ago

Gannon has deposited $742 in a savings account that earns interest at a rate of 3.4% compounded monthly. What will the account b

marta [7]

Firstly, solve the effective annual interest (ieff) with the equation,

ieff = (1 + i/m)^m -1

where i is the interest rate and m is the number of times the interest is compounded in a year. In this problem, m is 12

Substituting the values,
ieff = (1 + 0.034/12)^12 - 1 =0.03453

To solve for the future (F) amount of the present investment (P),

F = P x (1 + ieff)^n

where n is number of years.

F = ($742) x (1 + 0.03453)^15

Thus, the answer is $1234.76.

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3 years ago

Simple interest I in dollars is calculated using the formula I=prt, where p represents the principal, or amount in dollars tha

Sergeeva-Olga [200]

and we do this one the same way as the other.

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3 years ago

Read 2 more answers

Please help!!!!!!! Please help!!!!!! Please help!!!!!!

Nitella [24]

Answers:

Discrete
Continuous
Discrete
Continuous

==============================================

Explanations:

This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.

So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.

7 0

2 years ago

What is <br> 8v+w+7−8v+2w

Bingel [31]

Answer:

3w+7

Step-by-step explanation:

Let's simplify step-by-step.

8v+w+7−8v+2w

=8v+w+7+−8v+2w

Combine Like Terms:

=8v+w+7+−8v+2w

=(8v+−8v)+(w+2w)+(7)

=3w+7

3 0

2 years ago