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kramer
2 years ago
15

Which of the following is the equation for the graph shown?

Mathematics
1 answer:
masha68 [24]2 years ago
8 0

The equation of the circle shown is:

x^2 + y^2 = 100

<h3>What is the equation of a circle?</h3>

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

From the graph, it can be seen that the center of the circle is (0,0), thus (x_0, y_0) = (0,0) and the radius is of r = 10, hence the equation is:

x^2 + y^2 = 100

You can learn more about the equation of a circle at brainly.com/question/24307696

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Answer:

  C.  all real numbers except 3/4

Step-by-step explanation:

f(x) and g(x) are both defined for all real numbers. However, the ratio f/g will be undefined where g(x) = 0. That occurs when ...

  4x -3 = 0

  4x = 3 . . . . . add 3

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3 0
3 years ago
Which equation has a slope of 3 and a y intercept of 4?
Andrews [41]
I would say the second, y = 3x + 4, that intersects the y axis at 4 and the slope is surely 3.
3 0
3 years ago
Read 2 more answers
HELP!!!!
VashaNatasha [74]

Step 1: Assign variable for the unknown that we need to find.

Let x be the charge/person who are under age 12

Let y be the charge/person who are over age 12, and

Let z be the charge/person who are adults.

Step 2: Based on the information given write mathematical equation

Statement 1: "A family with 2 kids under age 12, 3 kids over age 12, and 3 adults pays $174 for entrance to the park"

For Under Age 12, 1 kid charge $x, so 2 kids under age 12 charge will be $2x.

For Over Age 12, 1 kid charge $y, so 3 Kids over age 12 charge will be $3y.

For Adults, 1 Adult charge $z, so 3 Adults charge will be $3z

Based on the above statement which mentions the number of person in the family and total cost of $174, we can write our 1st equation as

2x + 3y + 3z = 174 ⇒ 1st Equation

Statement 2: "A mother and father bring their 4 kids under age 12 at a cost of $122"

4 kids under 12 will be charged $4x, & 2 Adults (Mother and father) will be charged $2z, and total cost is given as $122.

Based on the above statement 2, we can write the 2nd equation as

4x + 2z = 122 ⇒ 2nd Equation

Statement 3: A grandmother who brings her teenage granddaughter to the park pays $46.

Grandmother will be considered an adult with teenage granddaughter who need to be considered as kid over age 12.

So we can write the third equation as

y + z = 46 ⇒ 3rd equation.

Step 3: Solve the three equation using substitution method

2x + 3y + 3z = 174 ⇒ 1st Equation

4x + 2z = 122 ⇒ 2nd Equation

y + z = 46 ⇒ 3rd equation

Factoring 3 in the left side of the last two terms of 1st equation we get...

2x + 3(y + z) = 174

Then substituting 46 for y + z we get

2x + 3(46) = 174

2x + 138 = 174 { Subtracting 138 on both sides }

2x +138 - 138 = 174 - 138 {Combining like terms on either side of the equation}

2x = 36 {Dividing 2 on both sides}

2x/2 = 36/2 {Simplifying each fraction}

<em>x = 18</em>

Substituting 18 for x in 2nd equation, 4x + 2z = 122

4(18) + 2z = 122

72 + 2z = 122 {Subtracting 72 on both sides of the equation}

72 + 2z - 72 = 122 - 72 {Combining like terms on both sides of the equation}

2z = 50 {Dividing by 2 on both sides}

2z/2 = 50/2 {Simplifying fraction on both sides of equation}

<em>z = 25</em>

Substituting 25 for z in the 3rd equation y + z = 46

y + 25 = 46 { Subtracting 25 on both sides of the equation }

y + 25 - 25 = 46 - 25 {Combining like terms on either side of the equation}

<em>y = 21</em>

Conclusion:

The cost for an Kid who are under age 12 to enter the theme park = $18

The cost for an Kid who are over age 12 to enter the theme park = $21

<u><em>The cost for an adult to enter the theme park = $25</em></u>

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3 years ago
The general form for a compound interest function is B(t)=P(1+r/n)^nt . Assuming that n=1 , rewrite the compound interest equati
Vesnalui [34]
The formula B(t)=P(1+\frac{r}{n})^{nt}, for n=1 becomes B(t)=P(1+\frac{r}{1})^{1\cdot t}=P(1+r)^t.

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r=0.185 can be written as 18.5%, as a percentage.


Answer: 18.5%
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Write a problem that can be solved using a flowchart and working backward. Then solve the problem.
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2+2=4

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