I need help:/

please, and thank you:)​

Answer:

8) y = x/2 + 6

9) x = -(7/4)

Step-by-step explanation:

for (8), start with point-slope form and enter -2, 5, and 1/2 into the appropriate places:

y-5 = (1/2)(x- -2)

simplify by distributing (1/2)

y-5 = x/2 + 1

add 5 to both sides to get yourself in slope-intercept form

y = x/2 + 6

for 9, start by distributing the 3 and the 2

6x-12 = 10x-8+3

combine like terms

6x-12 = 10x-5

subtract 6x from both sides

-12 = 4x-5

add 5 to both sides

-7=4x

divide both sides by 4

-(7/4) = x

Answer:

[tex]m + b=2[/tex]

Step-by-step explanation:

From the question we are told that

The non separable differential equation [tex]\frac{dy}{dx} = 8x - 2y[/tex]

Generally the chi form of a give equation is mathematically represented as

[tex]\frac{dy}{dx} +P(x)y= q(x)[/tex]

[tex]\frac{dy}{dx} + 2y = 8x[/tex]

[tex]ye^2^x=\int e^2^.8xdxx[/tex]

[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})[/tex]

[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\[/tex]

[tex]ye^2^x=4x^2^x-2e^2^x+c[/tex]

[tex]y=4x-2+c[/tex]

for c=0

[tex]y=4x-2[/tex]

Therefore

[tex]m=4\\b=-2\\m + b=4-(+2)[/tex]

[tex]m + b=2[/tex]

The linear particular solution of the form [tex]y=mx+b[/tex] where [tex]m+b=4-2=2[/tex]

Nonseparable differential equation:

Differential equations that cannot be written  [tex]\frac{dy}{dx} =f(x)g(y)[/tex] are non-separable differential equations.

In other words, we can say those differential equations which are not separable are called non-separable differential equations.

The given equation is,

[tex]\frac{dy}{dx}=8x-2y[/tex]

This is in the form [tex]\frac{dy}{dx} +p(x)y=\phi(x)[/tex]

Here [tex]P=2, Q=8x[/tex]

So, [tex]e^{\int_{}^{}Pdx}=e^{\int_{}^{}2dx}=e^{2x}[/tex]

Therefore, the general solution is,

[tex]ye^{\int_{}^{}Pdx} =\int_{}^{}Qe^{\int_{}^{}Pdx}dx+c\\ye^{2x}=\int_{}^{}8xe^{2x}dx+c\\y=4x-2+c^{-2x}[/tex]

Learn more about the topic of nonseparable differential equations:

https://brainly.com/question/25731911

Answer:

[tex]40\ \text{inches}[/tex]

Step-by-step explanation:

[tex]\theta[/tex] = Angle = [tex]5.7^{\circ}[/tex]

Let the vertical distance be is [tex]y=4\ \text{inches}[/tex]

horizontal distance be [tex]x[/tex]

So, slope is the tangent of the angle between the vertical and horizontal

[tex]\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}[/tex]

The horizontal distance for flared sides is [tex]40\ \text{inches}[/tex].

The horizontal distance for flared sides with a 4 inch vertical distance is 40.1 inches

Represent the horizontal distance with h, and the vertical distance with v.

The ratio of the vertical to the horizontal distance is given as: 5.7 degrees.

This means that:

[tex]\tan(5.7) = \frac{v}{h}[/tex]

Make h the subject

[tex]h = \frac{v}{\tan(5.7)}[/tex]

The vertical distance is given as 4 inches.

So, we have:

[tex]h = \frac{4}{\tan(5.7)}[/tex]

Evaluate tan(5.7)

[tex]h = \frac{4}{0.0998}[/tex]

Divide

[tex]h = 40.1[/tex]

Hence, the horizontal distance is 40.1 inches

Read more about vertical and horizontal distances at:

https://brainly.com/question/11956731

Answer:

(2x - 3) years

Step-by-step explanation:

Fitz is x years old.

Let us represent:

Fiona's age = y years old

If Fiona's is 3years younger than twice Fitz's age.

y = 2 × x - 3

y = 2x - 3

Therefore, the expression that describes Fiona's age in terms of x is

(2x - 3)years

first part: put them equal to each other

6x - 25 + 4x = 45 + 3x - 7

10x - 25 = 38 + 3x

7x - 25 = 38

7x = 63

x = 9

second part: plugin

6x - 25 + 4x

6(9) - 25 + 4(9)

54 - 25 + 36

29 + 36

= 65

-- plugging this in one of the equation is enough, since both are the same.

final answer for the second part: 65

Answer:

10%

Step-by-step explanation:

Answer:

X=7

Step-by-step explanation:

4x+8=7x-13

-4x. -4x

8= 3x -13

+13. +13

21=3x

21÷3=7

x=7

Answer:

The answer is x = 7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

B. 15x+7

Step-by-step explanation:

8x + 7

+ =15x +7

7x - 9

id-k but here we go

have you seen things of circles and triangles and squares? This problem is just like this. You would probably identify the squares circles and triagnles as...well....traingles circles and squares. Well, we do that but with the variables.

The numbers with 'x' is one group. And the one without it is another group. So....take 'x3' and take the x9. Because they have the same variable.

x3 +  x9. (why we are adding is because it has nothing to drag with it and both of these numbers are positive)

x12!

Now do teh same with 15 and 3. Bring the plus and the subtraction sign with 3 and 15. We cant just leave them there. 15-3=12.

we have 12. this must equal 12!!!!!

======================================================

Explanation:

The circumference of a circle is the distance around the full circle, aka the perimeter.

The formula for the circumference is

C = pi*d

where d is the diameter. The radius given is 6, so the diameter is 2*6 = 12.

The circumference, is therefore:

C = pi*d

C = pi*12

C = 12pi millimeters

---------

As a slight alternative, you can use this formula

C = 2*pi*r

with r = 6 as the radius

C = 2*pi*r

C = 2*pi*6

C = 2*6*pi

C = 12pi

We get the same answer as before.

Answer:

[tex]m = 35.65 \\ b = 17.25[/tex]

Step-by-step explanation:

srry if its wrong but I think it's right :)

btw for the first one

p=19.53

Answer:

(1) The angle bisector of ∠TPR is 45⁰

(2) m∠QPR = 90⁰

(3) m∠TPS  = 45⁰

(4)  m∠QPV = 45⁰

Step-by-step explanation:

(1) The angle bisector of ∠TPR is 45⁰

(2) From the given figure, the m∠QPR is a right angle, thus m∠QPR = 90⁰

(3)  m∠TPS is a bisector of the right angle RT,  m∠TPS  = 45⁰

(4) m∠QPV = 180 - (∠SPR + ∠QPR) [sum of angles on a straight line]

    m∠QPV = 180 - (45 + 90)

    m∠QPV = 180 - 135

    m∠QPV = 45⁰

Answer:

Step-by-step explanation:

Given the formula for the geometric series expressed as;

[tex]\sum \left \{ {3} \atop {1}} \right 1.3(0.8)^{n-1}[/tex]

The nth term of a geometric progression is expressed as;

[tex]T_n = ar^{n-1}\\[/tex]

a is the first term

r is the common ratio

Comparing both equations;

[tex]0.8^{n-1} = r^{n-1}\\Cancel \ the \ powers\\0.8 = r\\r = 0.8\\[/tex]

Hence the value of r of the geometric series is 0.8

Answer:

A

Step-by-step explanation:

Just took test

Answer:

He does not

Step-by-step explanation:

He doesn't experience Doppler effect because with respect to him, the source of sound is stationary.

Answer:

x=3

Step-by-step explanation:

x+4=7

x=7-4

x=3

since y=4, we can substitute that value into the second equation. now x+y=7 becomes x+4=7. when we subtract three from both sides, we get that x=3. the ordered pair is (3,4)

Answer:

50

Step-by-step explanation:

Correct question

-16/5, 8, -20. What is the next term of the geometric sequence.

The nth term of a geometric sequence is expressed as:

Tn = ar^n-1

From the sequence:

a is the first term = -16/5

n is the number of term = 4(since next term is 4th term

r is the common ratio = (8)÷(-16/5) = 8×-5/16

r = -5/2

Substitute the given values into the formula

T4 = -16/5(-5/2)^4-1

T4 = -16/5(-5/2)³

T4 = -16/5×-125/8

T4 = -16/8×-125/5

T4 = -2×-25

T4 = 50

Hence the next term is 50

Answer:

Step-by-step explanation:

Answer:

one variable data table has only one input cell and many result cells. A two-variable data table has two input cells, but only one result cell. If you look at the bar graphs, histograms, and circle graphs, they all look at one variable at a time and display the number of times or percentage of times an individual point or interval is counted. These are displays for a one variable data set. Two variable data sets give measures of two attributes for each item in a sample. Such as - eye colour & hair colour, grade & gender.

Step-by-step explanation:

Hope it helps <3

Answer: 8 Hours to finish her homework.

Step-by-step explanation: We know each page, or 1 page takes 1 hour to finish. We want to know how many hours it would take to take finish 8 pages of homework. To find this, simply multiply 1 by 8. (1 hour per page, or 1 hour for each of the 8 pages.)

1 x 8 = 8.

So it will take Meredith 8 hours to finish her homework.

Answer:

it will take 8 hours if you mean one page an hour

Step-by-step explanation:

mark me brainliest pls

Answer:

5x+1+11y

Step-by-step explanation:

Answer:

The domain is the speed of the airplane.

The range is the distance travelled by the airplane.

Step-by-step explanation:

From Theory of Values, the domain of a function is the set of independent values, whereas the range of a function is set of dependent values, that is, values associated to one distinct element from domain. In this case, the independent variable is speed, whereas the dependent variable is the distance travelled by the airplane, since it is described in terms of speed.

Hence, the answer to this exercise is:

The domain is the speed of the airplane.

The range is the distance travelled by the airplane.

Answer:

Vertex: (-5,-4) Y-int: (0,21) X-int. = (-7,0), (-3,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate simple interest use the following formula

Presentvalue(1+it)

where i=interest

t=time

We can easily plug in our values and solve for the answer

11180(1+0.043*3)

Put this into a calculator and get £12622.22

Answer:

C

Step-by-step explanation:

Equation of Function A is

y=2x+5

Equation of Function B is

y=2x-3

Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

Answer:

17

Step-by-step explanation:

Answer:

21.1cm

Step-by-step explanation:

From sine rule which can be expressed as

b/ sinB = c/sin C

B = 57°,

b = 26 cm.

FROM THE COMPLETE QUESTION,

C=43°

Then we can substitute this

26/sin(57) = c/sin(43)

If we cross multiply and make "c" subject of the formula

c=[26 × sin(43)]/ sin57

c= 21.1 cm

Answer:

Number 1 and 4

Step-by-step explanation:

To do this substitute the different values of x and y into the equations and see if they come out true or not.

1. (4, -3)

Put x = 4 and y = -3 into both equations:

2x + y = 5 --> 2(4) - 3 = 5 --> 8 - 3 = 5 --> 5=5 (true)

6x + 3y = 15 --> 6(4) + 3(-3) = 15 --> 24 - 9 = 15 --> 15 = 15 (true

So number 1 works

2. (2, 4)

Put x = 2 and y = 4 into both equations:

2x + y = 5 --> 2(2) + 4 = 5 --> 4 + 4 = 5 --> 8 = 5 (NOT true)

Number 2 does not work

3. (1, 3)

Put x = 1 and y = 3 into both equations:

2x + y = 5 --> 2(1) + 3 = 5 --> 2+ 3 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(1) + 3(9) = 15 --> 6 + 27 = 15 --> 33 = 15 (not true)

Number 3 does not work

4. (0, 5)

Put x = 0 and y = 5 into both equations:

2x + y = 5 --> 2(0) + 5 = 5 --> 5 = 5 (true)

6x + 3y = 15 --> 6(0) + 3(5) = 15 --> 15 = 15 (true)

Number 4 does work

Number 1 and number 4 are the answers.

Answer:

7 /10  0.7

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Answer:

7/10

Step-by-step explanation:

First, find the smallest possible denominator between the two fractions. The smallest one is 20.

Now, both denominators need to become 20. To get the 5 in 1/5 to become 20, it needs to be multiplied by 4. Whatever you do to the denominator, you must do to the numerator.

1 x 4 = 4

The first fraction is now 4/20.

To get the 4 in 2/4 to become 20, you must multiply it by 5. Whatever you do to the denominator, you must do to the numerator.

2 x 5 = 10

The second fraction is now 10/20.

Add the fractions. Keep the denominators the same and add the numerators.

4/20 + 10/20 = 14/20

Simplify by dividing both numbers by 2

7/10

Answer: hopefully, this is right i think its 5.873

Step-by-step explanation: