If h(y)=4−y^2/3−y , which of the following is not defined?

Using the standard metric system, the mass of salt left in the bowl is equal to 791.5g

To determine the mass left in the bowl, we have to use the understanding of metric system.

1kg = 1000g

0.8kg = xg

Cross multiply both sides and solve for x

x = 1000 * 0.8

x = 800g

The mass of salt in the bowl originally was 800g.

But 850cg was removed from it;

1g = 100cg

xg = 850cg

Cross multiply both sides and solve for x;

This will give us

x = 850 / 100

x = 8.5g

The amount of salt left = 800 - 8.5 = 791.5g

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Answer:

The answer is f(x)=(x+3)2−4 .

Step-by-step explanation:

To convert to vertex form, you must complete the square. We add k to complete the square inside the brackets, but whatever we add inside, we must subtract outside the brackets to keep the equation balanced.

The linear system of equations to represent the given scenario is 5 x + 2 y = 31 and 3 x + 5 y = 30. Therefore, option D is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, Fiona and Iliana went to a going-out-of-business sale at a local video store.

Let the cost of each HD videos be x and the cost of each classic videos be y.

Fiona bought 5 HD videos and 2 classic videos for $31.

5x+2y=31 ------(I)

Iliana bought 5 classic videos and 3 HD videos for $30.

3x+5y=30 ------(II)

Multiply equation (I) by 5, we get 25x+10y=155 ------(III)

Multiply equation (II) by 2, we get 6x+10y=60 ------(IV)

Subtract equation (IV) from equation (III), we get

25x-6x=155-60

19x=95

x=5

Substitute x=5 in equation (I) we get

25+2y=31

2y=6

y=3

So, solution is (5, 3)

Therefore, option D is the correct answer.

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The number of Nickels and Dimes out of the 13 coins are respectively; 4 Nickels and 9 Dimes

We are told that we have 13 coins and they are all nickels and dimes and they sum up to $1.00.

Let N represent nickels.

Let D represent dimes

Thus;

N + D = 13

D = 13 - N

From conversion tables of nickels and dime to dollars, we can generate the equation;

$0.05N + $0.10D = $1.00

Plug in 13 - N for D to get;

$0.05N + $0.10(13 - N) = $1.00

$0.05N + $1.30 - $0.10N = $1.10

0.20 = 0.05N

N = 0.20/0.05

N = 4

D = 13 - 4

D = 9

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Answer:

15

Step-by-step explanation:

You start with $50, and if $20 is spent on food then you have 50-20= $30 remaining for games.

Games are $2 each, and you have $30 for games, so we can divide the amount of money you have by the amount of money required for each game to find out how many games you can play:

30/2 = 15

Therefore after spending $20 on food, you are able to play 15 games with the remaining money.

Answer:

∠L = 51°

Hope this helps!

Step-by-step explanation:

Alternate exterior angles theorem

2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

The points of solution that are obtained for the system of linear equations 6x - 3y = 66 and x + 3y = -10 are (8,6).

The substitution methods given are incomplete and incorrect.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The system of linear equations are -

6x - 3y = 66....(1)

x + 3y = -10....(2)

Simplify the equation (1) and (2) by adding -

6x + x - 3y + 3y = 66 - 10

7x = 56

x = 8

Substituting the value of x = 8 in equation (1) -

6x - 3y = 66

6(8) - 3y = 66

48 - 3y = 66

-3y = 66 - 48

-3y = 18

y = -6

Therefore, the final value is obtained as (8,6).

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On solving the provided question, we can say that to across the pond he ha to cover equation 2x +3x = 325 - 156 + 1 => x = 34cm/sec

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

to across the pond

we can form an equation 2x +3x = 325 - 156 + 1

5x = 170

x = 34

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It is a rhombus since the parallelogram's sides are all equal. ABCD is a square because the diagonals of the rhombus ABCD are equal.

A simple quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. Both sets of opposite sides are parallel and equal in a particular type of quadrilateral known as a parallelogram. Parallelograms come in four varieties, three of which are exclusive. The four different shapes are rhombuses, parallelograms, squares, and rectangles. A quadrilateral is a parallelogram if it has two sets of parallel sides. In a parallelogram, the cross-sectional lengths of the opposing sides and angles are equal. The inner angles add additional angles to the horizontal line on the same side. There are a total of 360 interior angles.

Given:

The diagonals AC and BD in the parallelogram ABCD are equal and perpendicular to one another.

∠DOC=∠COB=∠BOA=∠AOD=90

We are aware that a parallelogram's diagonals are divided in half.

OA=OC=OB=OD, thus...

(1) In OA=OA [Common side] in AOD&AOB, AOD=BOA=90

[Given]

[from (1)] OD=OB

Consequently, AODAOB [By SAS Rule of Congruency]

Thus, AD = AB.

Thus, AB=BC=CD=DA.

(2) ABCD is a parallelogram, therefore

It is a rhombus since the parallelogram's sides are all equal. ABCD is a square because the diagonals of the rhombus ABCD are equal.

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Answer: -9

Step-by-step explanation: f(x)=f(-1) meaning that x=-1, so you plug the value of x into the equation. 4(-1) - 5 = -4 - 5 = -9

Answer: To find the distance traveled during one ride, we need to find the circumference of the circle formed by the Ferris wheel's rotation. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.

Given that the diameter of the Ferris wheel is 54 feet, we can find the radius by dividing the diameter by 2:

r = 54 / 2 = 27

Therefore, the circumference of the circle is:

C = 2πr = 2 * 3.14 * 27 = 170.68

To find the distance traveled during one ride, we need to multiply the circumference by the number of revolutions:

distance = C * 17 = 170.68 * 17 = 2,908.76

Rounded to the nearest whole number, the distance traveled during one ride is 2909 feet.

Step-by-step explanation:

15 and 3/4 divided by 7 as a fraction, the value is 2 1/4.

A topic in mathematics that involves an expression having two parts called numerator and denominator is known as fraction. Types of fraction are mixed fraction, improper fraction and a proper fraction.

A mixed fraction is a type of fraction which is expressed by a whole number and a fractional part.

Considering the expression in the given question 15 and 3/4 divided by 7 as a fraction, we have;

(15 3/4) / 7 = (63/ 4)/ 7

                 = (63/ 4) * 1/ 7

                 = 63/28

                 = 2 1/4

So that, 15 and 3/4 divided by 7 as a fraction is 2 1/4.

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The section of a line that connects A and B.AB line A and B are on an infinite line.Segment AB has a length of 10 units.

A and B, the ends of this line segment, both have fixed lengths.

The length of this line segment equals the distance between endpoints A and B.

A(x A: y A):B (x B: yB )

The distance between A and B

d = √( x B - x A )² + Y B - YA ) ²

A( 6: 2)  :B( 0: 10)

AB = √(0 - 6 )² + ( 10 - 2) ²

= √6² +8²  = √36 +64\s= √ 100 = 10

Segment AB has a length of 10 units.

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The statement is always true that if |a| > 0, then the graph of f(x) = a∛x rises as x increases. The solution is obtained by graphing the function.

What is graphing of a function?

Drawing the graph of an applicable function is the process of graphing a function. While graphing simple functions like direct, quadratic,etc. is fairly easy, complex functions like rational, logarithmic,etc. bear some complexity and an understanding of certain fine ideas. Every point on the curve will satisfy the function equation if the curve represents the function.

We are given a function f(x) = a∛x.

We know that |a| will always be greater than or equal to 0 irrespective of "a" being positive or negative.

If |a| > 0, then the graph of f(x) = a∛x is a vertical stretch of the graph of g(x) = ∛x.

The graph for g(x) = ∛x is shown below.

Since, g(x) = ∛x rises as x increases, the same must be true for f(x) = a∛x.

Hence, if |a| > 0, then the graph of f(x) = a∛x rises as x increases.

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Answer:

Largest even number is 99998

So when its thousands place is to be 3 then the number is 93998.

Step-by-step explanation.
i think this is it

The perimeter of the triangle DEF is equal to 73 considering the segments tangent to circle J

A theorem of tangents to a circle states that if from one exterior point, two tangents are drawn to a circle then they have equal tangent segments.

DG = FG = 11

DF = 2 × 11

DF = 22

DH = FI = 9.5

and

EH = EI = 16

so!

ED = 9.5 + 16

ED = 25.5

EI = 16 + 9.5

EI = 25.5

perimeter of triangle DEF = DF + ED + EF

perimeter of triangle DEF = 22 + 25.5 + 25.5

perimeter of triangle DEF = 73

Therefore, 73 is the perimeter of the triangle DEF considering the segments tangent to the circle J.

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The population of the cells after 7 days is 12800 cells.

The population will first exceed 60000 cells after 9.2 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Initial population = 100 cells

The number of population after x days is given by.

f(x) = 100 x [tex]2^x[/tex]

Now,

The population after 7 days.

f(7) = 100 x [tex]2^7[/tex]

f(7) = 100 x 8 x 8 x 2

f(7) = 100 x 2 x 64

f(7) = 200 x 64

f(7) = 12800

The population after 9 days.

= 100 x 512

= 51,200

The population after 9.23 days.

= 100 x 600.49

= 60049

The population after 10 days.

= 100 x 1024

= 102,400

This means,

The population will exceed 60,000 after 9.23 days

Thus,

The population after 7 days is 12800.

The population will exceed 60,000 population after 9.2 days.

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The probability of choosing the city is 3/7.

What is probability ?

probability can be defined as the ratio of favourable outcomes and total number of outcomes.

Given , Sample space  = {india , chicago ,tokyo ,peru ,miami ,canada ,mexigo }

Given if we chosen randomly the city.

so the favourable = { chicado,tokyo,miami }

So, the probability of choosing the city is = x/s

where x is favourable outcomes

s is sample space

x = 3

s = 7

probability = 3/7

Hence, The probability of choosing the city is 3/7.

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19(360) + 18(400) + 8(480) + 5(600) /  19 + 18 + 8 + 5 this expression

represents the average wages a company pays per employee each week

Correct option is: E

An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) It is possible to compare expressions to phrases.

Mathematical expressions consist of at least two integers or parameters, at least one arithmetic operation, as well as a statement. Any one of the following mathematical operations can be used i.e multiply, divide, add, or subtract. The form of an expression is as follows: (Math Operator, Number/Variable, Expression)

From the table we get this -

Wages the company pays to employees each week:

= 19(360) + 18(400) + 8(480) + 5(600)

Total number of employees:

= 19 + 18 + 8 + 5

Thus,

the average wages a company pays per employee each week:

= Wages the company pays to employees each week / Total number of employees

= 19(360) + 18(400) + 8(480) + 5(600) /  19 + 18 + 8 + 5

Correct option is: E

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Answer:

24.3 miles per gallon

Step-by-step explanation:

the equation is in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

given

y = 24.3 ← is in slope- intercept form with c = 0

the slope is the rate of change , then

rate of change = 23.4 miles per gallon

Answer: 18(a)-89=217

Step-by-step explanation:

If a = 17 then you substitute/replace the a with the 17. Making 18(a) into 18(17). 18(17)= 306 - 89 = 217.

Hope this helped.

Answer:217

Step-by-step explanation:

putting the value of a in the equation.

18×17-89= 217

The line of the inequality will be dotted and the origin is the solution to the inequality. Hence option A is the correct option.

Inequalities are mathematical expressions in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is replaced by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given the equation of the inequality is y <2/3 x +1.

The inequality contains a less than symbol.

If an inequality contains less than or equal/ greater than or equal sign, then the line of the inequality will be solid.

If an inequality contains less than or greater than, then the line of the inequality will be dotted.

The line of the given inequality will be dotted.

Now putting x = 0, y = 0 in the inequality:

0< (2/3×0) + 1

0 < 1 true.

Thus (0,0) is a solution to the inequality.

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Using Vieta's Theorem the value of c = 72.

Suppose we have a quadratic equation, in the following format:

ax² + bx + c, were a, b, and c are constant.

The roots are p and q.

As, The Theorem states that:

p + q= -b/a

pq= c/a

We have given the polynomial  x²-17x+c=0

So, a= 1, b= -17

Since the difference of the solutions is 1, we have that:

p -q= 1

p = 1+ q

Now, using p + q= -b/a

1 + q + q= -(-17)/1

2q +1 = 17

2q= 16

q= 16/2

q= 8

and, p = 1+ q= 9

Again pq = c/a

8 x 9 = c/1

c= 72

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The number of hours that it will take more for the Kim family to reach their destination would be = 1.2 hours

The total number of hours it will take for the Kim family to travel = 5 hours.

The first drive = 2 4/8 hours

The second drive = 1 ⅓ hours

The number of hours that they need to travel more will be = X

That is 5 = X + 2 4/8 + 1⅓

Make X the subject of formula:

X = 5- ( 2 4/8 + 1⅓)

X = 5 - ( 2.5 + 1.3)

X = 5 - ( 3.8)

X = 5 - 3.8

X = 1.2 hours.

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The value of x and y is 0 and 5.

What is an equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation.

Here, we have

Given: Equations y=2x+5, y=3x+5

We have to solve these equations by substitution.

y = 2x+5...(1)

y = 3x+5...(2)

From equation (1) we get

y = 2x+5

Now, we put the value of y in equation(2) and we get

2x+ 5 = 3x+5

x = 0

Now, we put the value of x in equation(1) and we get

y = 2(0) + 5

y = 5

Hence, the value of x and y is 0 and 5.

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Answer:

22500 square centimeters

Step-by-step explanation:

1.8 meters= 180 cm

1.25 meters= 125 cm

180 times 125 = 22500

Answer: 48

Step-by-step explanation: 1 pound is 16 ounces therefore each pound will have 4 bags since 16 divided by 4 is 4, 12 times 4 is 48