8. What are the values of x and y?
X
36

The domain of a function is all the values of x that is satisfied by the function.

• The domain of the function is, {x|x is all real numbers}

The range of a function is the set of all values of y that satisfies the function.

• The range of the function is ,{y | y is greater than zero}

• The graph is ,increasing, over the interval (0, ∞)

• The graph is ,decreasing, over the interval (-∞, 0)

Let's define the following variables.

x = the number of gallons of Bryers ice cream Tanya bought

y = the number of gallons of Turkish Hill ice cream Tanya bought

2x = total cost for the Bryers ice cream

3y = total cost for the Turkish Hill ice cream

Since Tanya bought a total of 10 gallons of ice cream for the party, then we can say that:

In addition, if the total cost that Tanya spent is $25, then we can say that:

The equations that we can get from the given problem are x + y = 10 and 2x + 3y = 25.

Answer:

148cm^2

Hope this helps :))

The function of the graph with slope 3/4 and passing through point ( - 7, - 5) is 4y = 3x + 1.

We have, the slope of the graph as m = 3/4, and the graph passes through the point ( - 7, - 5 ).

The equation of the slope-intercept form of a line is given as:

y = mx + b where m is the slope and b is the y-intercept.

When the graph passes through ( - 7. - 5).

y = mx + b

- 5 = ( 3/4 ) × ( - 7 ) + b

- 5 = - 21/4 + b

Adding 21/4 on each side of the equation,

- 21/4 + b + 21/4 = - 5 + 21/4

b = ( - 20 + 21 )/4

b = 1/4

Therefore, the equation of the line is:

y = ( 3/4 )x + 1/4

Multiplying each side of the equation by 4,

4y = 3x + 1

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The inequality for the expression about the sum will be C. b + 12.6 > -3.5.

It should be noted that an inequality shows the relation between two expressions which we got equal.

In this case, let the number be given as b. Note that sum means addition. In this case, you will add b and 12.6.

Now, it was also stated that the addition is more than -3.5. This means it's greater than and the sign is >.

Therefore, the inequality will be:

= b + 12.6 > -3.5

Note that > means greater than.

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Answer: 1/4

Simplifying fractions: Reducing the fraction to its lowest term by finding the greatest common factor and dividing both the numerator and denominator by the GCF.

GCF: The greatest number that is a factor shared by both numbers. This number will evenly divide into both the numerator and denominator in this case.

Simplest term: The smallest possible number that cannot be reduced further while remaining as an integer.

Factors of Numerator (2): 1, 2

Factors of Denominator (8) : 1, 2, 4, 8

1. Divide both numerator and denominator by GCF

Therefore, the lowest term would be [tex]\frac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

We divide both of the numbers by the Greatest Common Factor (GCF) , which is 2.

2 ÷ 2 = 1

8 ÷ 2 = 4

The answer is 1/4.

Hope this helps!

Btw, could I get a Brainliest? Thanks!

The race will Daphne run by ratio 1/2.

What is relay race?

In a relay race, team members alternately complete different sections of the racecourse or carry out certain tasks. Both professional and amateur competitions are held in relay races. Running, orienteering, swimming, cross-country skiing, biathlon, and ice skating all frequently feature relay competitions.

As given Sophia, Daphne, and Charlie are all participating in a relay race to raise money for charity. First, Sophia will run 2 miles. then, Daphne will run 5 miles. finally, Charlie will end the race by running 3 miles.

The total distance of the race is,  2 + 5 + 3 = 10 miles.

So, Daphne will run the race by the ratio,  [tex]\frac{5}{10} = \frac{1}{2}[/tex]

Therefore, the race will Daphne run by ratio 1/2.

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keeping in mind that a year has 12 months, thus 3 months will just be 3/12 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5125\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ 5125=5000[1+(\frac{r}{100})(\frac{1}{4})] \implies \cfrac{5125}{5000}=1+\cfrac{r}{400}\implies \cfrac{41}{40}=\cfrac{400+r}{400} \\\\\\ 410=400+r\implies \boxed{10=r}[/tex]

Answer: B

Step-by-step explanation:

Answer:

C - 768cm for Plato

Step-by-step explanation:

prediction by finding the height of the last drawing  the same as,

0.5×1.5 =0.75

, the same as,

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and  is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.

Given that : Caleb drew a picture of a building that is 4.4 inches tall. He thought it was too tall, so he multiplied its height by 0.5. The second drawing was too short, so he multiplied its height by 1.5.

Caleb drew a picture of a building that is 4.4 inches tall.

he multiplied its height by 0.5.

4.4×0.5 =2.2

The second drawing was too short,

so he multiplied its height by 1.5.

0.5×1.5 =0.75

, the same as,

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Given: A function F(x)=2x+3 is given.

Find: inverse of a function.

Explanation:

Final answer: the required inverse of f(x) is

The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix.

An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The columns of two matrices are combined to create a new matrix, which is known as an augmented matrix. When using matrices to solve straightforward linear equations, the augmented matrix is a crucial tool. The number of variables in the linear equation is the same as the number of rows in the augmented matrix.

Therefore, the correct answer is option A.

[tex]$\left[\begin{array}{cccc}2 & -3 & 1 & -5 \\ 4 & -1 & -2 & -7 \\ -1 & 0 & 2 & -1\end{array}\right]$[/tex]

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According to the ratio if he answered 36 questions correctly.

A ratio in mathematics shows how frequently one quantity occurs in another. For instance, if there were eight oranges and six lemons on a fruit plate, the ratio would be eight to six.

We know that the given ratio is 12:7

let he answered x questions correctly and 21 question incorrectly

Therefore the ratio of correct answers to incorrect answers is given by

x : 21

Now 12:7 = x : 21

or, x = 36

Therefore he answered 36 questions correctly.

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The equation to find the number of miles Russel ran after school is

5 (2 + M) = 30

The number of miles Russel ran after school is 4 miles.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Number of days ran = 5

Number of miles ran before school = 2 miles

Number of miles ran after school = M miles

Total miles ran at the end of the week = 30 miles

Now,

The equation to find the number of miles Russel ran after school.

5 (2 + M) = 30

The number of miles Russel ran after school.

5 (2 + M) = 30

2 + M = 30/5

2 + M = 6

M = 6 - 2

M = 4

Thus,

The equation to find the number of miles Russel ran after school is

5 (2 + M) = 30

The number of miles Russel ran after school is 4 miles.

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There are 303600 ways to choose 4 members of the club to serve on an executive committee.

A permutation is the act of putting things or numbers in a certain order. Combinations are a method of picking things or numbers from a set of objects or collections without regard for their order.

No. of members = 25

We are supposed to find the no. of ways to choose a president, vice-president, secretary, and treasurer of the club

No. of posts = 4

The order matters here since each member will get different posts .

So, we will use permutation over here

formula - n P r = n! / (n-r)!

n = 25

r = 4

using calculator

25 P 4 = 303600
Hence there are 303600 ways to choose 4 members of the club to serve on an executive committee.

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The missing angles are:

m∠1 =  62°

m∠2 = 48°

m∠3 = 86°

m∠4 = 46°

We know that vertical angles are always equal i.e.they are congruent angles.

So, m∠2 = 48°

Now, By Triangle Sum Theorem, the total of three interior angles of any triangle add up to 180°.

m∠1 + m∠2 + 70° = 180°

m∠1 + 48° + 70° = 180°

m∠1 =  180° - 118° =  62°

As m∠3 and 94° lie on a straight line, their sum would be 180°.

m∠3 = 180° - 94° = 86°

Again by Triangle Sum Theorem,

m∠3 + m∠4 + 48° = 180°

86° + m∠4 + 48° = 180°

m∠4  = 180° - 134°

m∠4 = 46°

Therefore, the missing angles are m∠1 =  62°, m∠2 = 48°, m∠3 =  86° and m∠4 = 46°.

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a = acid solution 4%

b = acid solution 10%

a + b = 24

0.04*a+0.1*b=0.06*24

a=24-b

0.04*(24-b) + 0.1*b = 1.44

0.96 - 0.04b + 0.1*b = 1.44

0.06*b = 0.48

b = 8 oz

a=24-b

a = 24 - 8

The graph of the equation y = 4x² + 8x + 7 will be shown in figure.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ y = 4x² + 8x + 7

Now,

The graph of the equation y = 4x² + 8x + 7 will be shown in figure.

Since, One solution of the equation y = 4x² + 8x + 7 is (0, 7).

So, The graph of the function y = 4x² + 8x + 7 cut at the point (0 , 7).

Therefore,

The graph of the equation y = 4x² + 8x + 7 will be shown in figure.

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The diagram of the rectangle is attached where the length and the width are is 8cm and 4 cm

From the question, we have the following parameters that can be used in our computation:

The above parameters imply that

L = 2W

P = 2(L + W)

Where L represents the Length and W represents the width

The perimeter is given as 24

So, we have

2(L + W) = 24

So, we have

L + W = 12

Substitute L = 2W in L + W = 12

2W + W = 12

Evaluate

3W = 12

Divide by 3

W = 4

Substitute W = 4 in L = 2W

L = 2 * 4

Evaluate

L = 8

This means that the length of the rectangle is 8 cm and the width of the rectangle is 4 cm

See attachment for the rectangle

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The number of games in her phone is 10

An algebraic expression can simply be defined as an expression that is composed of terms, factors, some variables, coefficients and then constants.

They are also known to consist of some mathematical operations, which may include;

Based on the information given, we have;

Let the number of games in her phone be s

s + 3s - 7 = 33

collect like terms

4s = 40

Make 's' the subject

s = 40/4

s = 10 games

Hence. the number is 10

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Answer:

B, second response

Step-by-step explanation:

Answer:

The slope of a function is the process of finding the rate of change of the value y (dependent variable) of the function changes with respect to that of the variable x (independent variable). The slope itself describes the direction and steepness of the line.

the slope (m) is (5 - -1) / 4 --3 = 6/7

Putting in the equation:

y - y1 = (6/7)(x - x1)

putting, y1= -1, x1= -3

y -  -1 = (6/7)( x - -3)

y + 1 = 6/7(x + 3)

Answer is the letter B

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Answer: B

K12 fr fr fr

Total consumption of fruit juice in a particular country in 2006 was about 1.82 billion gallons. The population of that country in 2006 was 300 million. What was the average number of gallons of fruit juice consumed per person in the country in​ 2006? Use pencil and paper. Using the per person amount from this​ problem, about how many gallons would your class​ consume?

Yes, the number of spaces you move random.

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