help me with my little sister's homework I forgot how to do this.

The value of g(-4) is 8.

A set of inputs and outputs that are connected to one another in some way is referred to as a relation. We refer to the relations as a function when each input results in a single output. However, you must be certain that no input leads to more than one output in order to determine if a relation is a function or not.

Only when each element of a nonempty set M has a single range to a nonempty set N is a function a relation.

g(x) = ax^2 + 24

⇒ g(4) = a (4)^2 + 24

⇒ 8 = 16a + 24

⇒ 8 − 24 = 16a

⇒ −16 = 16a

⇒ a = −1

Since, g(−4) = a(−4) ^2 + 24

∴ g(−4) = 16(−1) + 24

⇒ g(−4) = 8

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Probability= 5/9

Even cards = 2,4,6,8

Odd cards = 1,3,5,7,9

The number of ways of choosing one odd and one even number is 5C1 * 4C1

            (  5!/ 1!* 4!) * (4!/1! * 3!)

            5* 4= 20

Total number of ways of choosing 2 cards out of 9 = 9C2

        9!/ 2! * (9-2)!

     = 9!/ 2! * 7!

     = 9*8/2

    = 9 *4= 36

Thus, Probability is = 20/ 36

                             = 5/9

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After changing the form the equation becomes 5x (x + 2) = 4.

We cannot solve the equation as the value of x is not given but we can change its form.

Given equation is 5x² + 10x - 4.

Then,

Therefore, after changing the form the equation becomes 5x (x + 2) = 4.

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The correct question is given below:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.)  

5x² + 10x - 4

By using coordinates in rectangular form and Pythagorean theorem, we conclude that the point (x, y) = (√11 / 6, 5 / 6) is on the unit circle as its norm is equal to 1.

We find a point in rectangular form, that is, a point of the form (x, y). Unit circles are circles with a radius 1 that are commonly used to represent graphically angles. The given point is in the units if and only if its norm is equal to 1. The norm of the point is determined by using the Pythagorean theorem:

r = √[(√11 / 6)² + (5 / 6)²]

r = √[(11 / 36) + (25 / 36)]

r = √(36 / 36)

r = √1

r = 1

By using coordinates in rectangular form and Pythagorean theorem, we conclude that the point (x, y) = (√11 / 6, 5 / 6) is on the unit circle as its norm is equal to 1.

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The height of the tower is approximately 46.765 feet

Step-by-step explanation:

The given parameters are;

The distance from the foot of the tower where the angle of elevation is

measured = 27 feet

The angle of elevation to the top of the tower from a point 27 feet from the foot of the tower, θ = 60°

Therefore, by trigonometric ratio, we have;

tan 60= the height of tower / distance from foot of tower

[tex]\sqrt{3}[/tex]= height of tower /27

1.73205 *27 = height of tower

46.765 feet is the height of tower

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Total amount of ground beef is 7.5 lbs

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

a) The recipe for the meat loaf used by Jenny can serve a total of 8 people.

Total people = 40

Number of each ingredient

= 40 / 8

= 5

b) As, recipe contains 1 1/2 lb (1.5 lbs) of ground beef,

So, Total amount of ground beef = 1.5 lbs * 5 = 7.5 lbs

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Your question is incomplete, probably the complete question/missing part is:

Jenny is throwing a surprise birthday party for her best friend Katie. She has decided to make Katie’s favorite dish, meat loaf. There will be a total of 40 people at the party. Answer the following questions:

• The recipe says it serves 8 people. By what number should Jenny multiply each ingredient to make enough meat loaf for everyone? 5

• The recipe calls for 1 1/2 lbs. of ground beef. How much ground beef will Jenny need to make enough meat loaf for everyone?

The equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The question is incomplete.

The complete question is:

Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?

n = (1/2)(1/5)

n = (1/2)(5/1)

n = (1/2)(5)

n = (1/2)

From the data given in the question:

Let n be the fraction of a quart of grape juice n that is in each glass:

n = (1/2)(1/5)

Thus, the equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.

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Answer:

12/15

Step-by-step explanation:

Answer:15,000

Step-by-step explanation: 3500 divided by 7 because there are 7 days in a week= 500 and then 500 times 30 because of the thirty days

Answer:

Given the salary of Ram in 7days is rs.3500

Ram earns in a day = 3500 Divided By 7
                                = rs.500

Ram earns in 30 days = 500 Multiplied by 30
                                   = rs.15,000

All Done!

Answer:

81

Step-by-step explanation:

That's the squared symbol, it means to multiply the number by itself x amount of times. 9 times 9 = 81

The ages of Olivia and her brother are 10 years and 11 years respectively

Let x₁, and x₂ be the ages of Olivia and her brother respectively.

Given that Olivia's brother is twice her age minus 9 years.

⇒ x₂ = 2x₁ - 9 → equation 1

Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.

⇒ x₂ = 1/2 × (x₁ + 12) → equation 2

Using equation 1 in equation 2, we get

2x₁ - 9 = 1/2 × (x₁ + 12)

⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)

⇒ 4x₁ - x₁ = 12 + 18

⇒ 3x₁ = 30

⇒ x₁ = 10 (dividing by 3 on both sides)

Using the value of x₁, in equation 1,

⇒ x₂ = 2(10) - 9

⇒ x₂ = 20 - 9

⇒ x₂ = 11

Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.

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We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

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The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

Herein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:

Now we proceed to solve the inequality given:

||x - 4| - 7| < 5

- 5 < |x - 4| - 7 < 5

0 < |x - 4| - 2 < 10

|x - 4| - 2 > 0 and |x - 4| - 2 < 10

Case 1: |x - 4| - 2 > 0

|x - 4| > 2

x - 4 > 2 and x - 4 < - 2

x > 6 and x < 2

Case 2: |x - 4| - 2 < 10

|x - 4| < 12

x - 4 < 12 and x - 4 > - 12

x < 16 and x > - 8

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

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Camille need 5 balls of wool to crochet a blanket for her new baby cousin.

Unitary Method:

Unitary method is the method in which the value of a unit quantity is first calculated to get the value of any quantity is called the unitary method.

Given,

Camille wants to crochet a blanket for her new baby cousin. her pattern calls for 900 yards of thick, soft wool. she already has 200 feet of wool left from another project. at the craft store, she notices that each ball has 500 feet of wool.

Here we need to find the number of wool balls she need.

Let us consider x be the amount of wool balls she need.

Then,

wool needed - 900 yards

We know that,

1 yard = 3 feet

Then 900 yards will be equal to

=>  900 x 3 = 2700 feet

Now, She has - 200 feet

And we know that,

each ball at store contains - 500 feet

So it can be written as,

=> 200 + 500x = 2700

=> 500x = 2500

=> x = 2500/500

=> x = 5

Hence she need to buy 5 balls of wool from the store to get the required length of wool.

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Answer:

234

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [3, 6 ] , then

f(b) = f(6) = [tex]3^{6}[/tex] + 17 = 729 + 17 = 746

f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then

average rate of change = [tex]\frac{746-44}{6-3}[/tex] = [tex]\frac{702}{3}[/tex] = 234

The answer to this question is:

Size of a square's side = 11 cm

A Square is a flat geometric shape with four right angles and equal sides. The square's four sides are equal to one another or congruent. The square's opposing sides run parallel to one another. The square's diagonals form a 90° angle with one another. The two diagonals of the square are equivalent to one another. The square is made up of four vertices and four sides.

Area of square = ( Side )²

Given that:

Area of square = ( Side )² = 121 cm²

Dimensions of a square's side = √ Area

so, the length of the square's side = √ 121

                                          = √ 11*11

                                          = √ ( 11 )²  

                                          = 11

Thus, side of the square = 11 cm

Therefore, side length of square = 11cm

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Answer:

Pretty sure its 909. 83 percent of 1093 is 908.02. If you round it to the nearest person, it is 909

Step-by-step explanation:

πr² an example of a model.

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science).

Here, the area of a circle is calculated by the use of formula πr² where π is a constant 3.14 and r is a variable. Therefore this formula is used to find the area.

Thus, πr² an example of a model.

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Answer:

B is the correct answer.

Step-by-step explanation:

Add -2+e to both sides

v + f − e -2+e = 2 -2+e

Which will give you v + f -2 = e.

Answer: It is 192y^8. Just solve each one seperately until the answers match. Reduce the expression to 192y^8. Feel free to message me for an explanation

Answer: C. 192y>8

Step-by-step explanation:

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

Answer:

1 cm

Step-by-step explanation:

you multiply 3 by 1/3 and you get 3/3 which is 1

The value of y in expression is 14-2x/-9

The expression is written as

2x - 9y = 14

We are asked to calculate the value of y in the expression

2x - 9y = 14

-9y= 14-2x

Divide by the coefficient of y which is -9

y= 14-2x/-9

Hence the value of y is 14-2x/-9

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False, because The singles answer fits the description. All potential solutions are included in the solution set.

What makes up a linear system's solution set?

Is it true that a linear system's existence and uniqueness are two key issues? False or true?

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Answer:

"If chickens make eggs, then cows make milk."

Step-by-step explanation:

Answer: A:  If chickens make eggs, then cows make milk.

Step-by-step explanation: Hope that helped

Answer:

You would first move all of the y numbers to one side so it should look like this: 2y-4+5y+3y=4+5.  Then you would all the numbers that don't have y at the end to the other side: 2y+5y+3y=4+5+4.

Then you would add them all up:  10y=13

So your answer is 10y=13

Step-by-step explanation:

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The person has invested $35,000 in the fund returning at a rate of 6.5%.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT = (R% of P)T

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let the amount invested in the first fund be represented by x, then the amount invested in the second fund will be ($50,000 - x).

Now, if the 2 funds earn 6.5% and 9% simple interest. Also, in the first year, they earned a total of $3625 from the interest. Therefore, we can write the equation to represent the given situation as,

6.5% of x + 9% of ($50,000 - x) = $3625

0.065x + 0.09(50,000 - x) = 3625

0.065x + 4,500 - 0.09x = 3,625

0.065x - 0.09x = 3625 - 4500

0.025 = 875

x = 875/0.025

x = 35,000

Therefore, the person has invested $35,000 in the fund returning at a rate of 6.5%.

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