Determine the domain and range for the relation in interval notation.

Answer:

\(x=131.25\)

Step-by-step explanation:

\(0.3x+0.65*175=0.5(x+175)\)

\(0.3x+113.75=0.5x+87.5\) (Simplify both sides of the equation by multiplying on the LHS and distributing on the RHS)

\(0.3x+113.75-0.5x=0.5x+87.5-0.5x\) (Subtract \(0.5x\) from both sides of the equation to get all \(x\) terms to one side)

\(-0.2x+113.75=87.5\) (Simplify)

\(-0.2x+113.75-113.75=87.5-113.75\) (Subtract \(113.75\) from both sides of the equation to isolate \(x\))

\(-0.2x=-26.25\) (Simplify)

\(\frac{-0.2x}{-0.2} =\frac{-26.25}{-0.2}\) (Divide both sides of the equation by \(-0.2\) to get rid of \(x\)'s coefficient)

\(x=131.25\) (Simplify)

Hope this helps!

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

Both of those tables show a proportional relationship between x and y.

Step-by-step explanation:

In the second table the values all equal 0.75 when divided.

In the first table the values all equal 1.25 when divided.

Answer:

371 children

Step-by-step explanation:

289*$2,5 + 371*$1,5 = $1279

Answer: 5

Step-by-step explanation: because -3+5=2 and -9+5= -4.

And please brainliest if this helped you! And tell me if I am wrong! :D

Bye now! :D

Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

$96

Step-by-step explanation:

120 x .20 = 24

120 -24 =$96

Answer: p = 13.9

Step-by-step explanation: 7(p-9) = 34.3 multiply 7 into p and -9

7p - 63 = 34.3  add 63 into both sides

7p = 97.3  divide 7 into both sides.

p = 13.9

This question can be solved in  two ways

the equation given is  7(p-9)=34.3

The first step to take is to divide both sides of the equation by 7

p - 9 = 34.3 / 7

p - 9 = 4.9

The second step is to combine similar terms

p = 4.9 + 9 = 13.9

A second method

the equation given is  7(p-9)=34.3

1. expand the bracket

7p - 63 = 34.3

2. Combine similar terms

7p = 34.3 + 63

7p = 97.3

3. Divide both sides of the equation by 7

p = 13.9

A similar question was solved here: https://brainly.com/question/20432589?referrer=searchResults

Answer:

x= 36 and y= 9

Step-by-step explanation:

because I said so. jk math

Answer:

x-intercept: 36

y-intercept: 9

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the x-intercept

\(x + 4y = 36\)

Plug in 0 for y

\(x + 4(0) = 36\\x=36\)

Therefore, the x-intercept is 36.

2) Determine the y-intercept

\(x + 4y = 36\)

Plug in 0 for x

\(0 + 4y = 36\\4y = 36\)

Divide both sides by 4

\(y=9\)

Therefore, the y-intercept is 9.

I hope this helps!

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Step-by-step explanation:

X=63 and Y=27 is the correct answer.

The general solution to the given differential equation is:

y = (x/12) - (1/288)

How to solve the Differential Equation?

We want to solve the differential equation given as: y' - 24xy = -2x

The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).

Multiplying the entire equation by the integrating factor, we get:

e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)

The left side of the equation is the derivative of (e^(-24x)y) with respect to x:

(d/dx)(e^(-24x)y) = -2xe^(-24x)

Integrating both sides with respect to x, we have:

e^(-24x)y = ∫(-2xe^(-24x))dx

Integrating the right side, we get:

e^(-24x)y = -∫(2xe^(-24x))dx

To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):

u = -2x (differential of u = -2dx)

dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)

Using the integration by parts formula:

∫uv dx = uv - ∫v du

We can compute the integral as follows:

-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]

= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]

= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]

= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]

= -[x/12e^(-24x) - 1/(288e^(-24x))]

= -[x/12 - 1/288]e^(-24x)

Substituting this back into the previous equation, we have:

e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]

Simplifying further:

e^(-24x)y = (x/12 - 1/288)e^(-24x)

Canceling out e^(-24x) on both sides:

y = x/12 - 1/288

Therefore, the general solution to the given differential equation is:

y = x/12 - 1/288

Read more about Differential Equation at: https://brainly.com/question/28099315

#SPJ1

With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.

We assume that there are monthly repayments and compounding interest on the car loan.

With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.

Car loan = $43,000

Down payment = $0

Fixed Annual Percentage Rate (APR) = 4.9%

Loan term = 5 years

Car Loan Calculator with monthly Repayment:

Payment = $809.49/month

Interest Paid =$5,569.67

Total Paid = $48,569.67

Learn more about simple and compound interests at https://brainly.com/question/3402162

#SPJ1

Answer:

Hi

Please mark brainliest ❣️

Answer:

10.5litres

Step-by-step explanation:

Simply multiply 2.5 by 4.2

Which gives you 10.5

Answer:

10.5 cups a day.

Step-by-step explanation:

4.2 cups = 1 litre

2 litre = 8.4 cups

4.2/2 = 2.1 cups

8.4 + 2.1 = 10.5

The 1st one/Top one.

X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)

Answer:

x = 2.25 y =6

Step-by-step explanation:

Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9    8 x 3/4 = 6   3 x 3/4 = 2.25

Hope this helped! If it did, please mark brainliest! It would help me out a lot! Thanks! :D

The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.

Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.

We need to order them from least to greatest,

3√2 = 4.24

√3 − 1 = 0.73

√19 + 1 = 5.35

6

2√10 ÷ 5 = 1.26

√14 = 3.74

The order from least to greatest is :-

0.73, 1.26, 3.74, 4.24, 5.35 and 6

i.e.

√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6

Learn more about ascending order, click;

https://brainly.com/question/28762233

#SPJ9

Answer:

The factors of the expression \(f(x)= 3x^{2} + 4x + 1\) are (3x + 1)(x + 1).

Step-by-step explanation:

The expression is:

\(f(x)= 3x^{2} + 4x + 1\)

Factorize the expression as follows:

\(f(x)= 3x^{2} + 4x + 1\)

       \(=3x^{2}+3x+x+ 1\\\\=3x(x+1)+1(x+1)\\\\=(3x+1)(x+1)\)

Thus, the factors of the expression \(f(x)= 3x^{2} + 4x + 1\) are (3x + 1)(x + 1).

Answer: It shows correct if this is the model your looking for

Step-by-step explanation:

Answer:

Solve value problems by setting up a system of equations. ... Once the table is filled in we can easily make equations by adding each column, setting it ... Dime d. 10. 10d. Total. 11. 185. We have 11 coins total.This is the number total. ... twice as many dimes, than we multiply the other variable (nickels) by two.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

the beginning of the line is at 4

Answer :-

Alternate exterior angles.

They are equal.

value of x :-

(2x + 26)° = (3x – 33)°

=> 2x –3x = –33 –26

=> –x = – 59

=> x = 59°

All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.

Answer:

\( 16 \: {m}^{2} \)

Step-by-step explanation:

Area of the quadrilateral

\( = \frac{1}{\cancel 2} \times 8 \times \cancel 2 + \frac{1}{\cancel 2} \times 8 \times \cancel 2 \\ \\ = 8 + 8 \\ \\ = 16 \: {m}^{2} \)

Answer:

1/5

Step-by-step explanation:

There are 25 possible outcomes. (5 for each number.  For example, the 5 that start with 2 are 2-2, 2-3, 2-4, 2-5, and 2-6.)

The ones that equal 8 are:

6-2

2-6

3-5

5-3

4-4

5 out of 25 is 5/25, or 1/5

Answer:

B

Step-by-step explanation:

-140 + (-7) × 4.5 = -171.5

-171.5 + 112.2

-59.3

Answer:

b

Step-by-step explanation:

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12