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3 years ago

PLEASE HELP WILL MARK BRAINLIEST!

Mathematics

1 answer:

pantera1 [17]3 years ago

8 0

Answer:

Make a coordinate plane and you have to solve around the origin say 4,4 and 4,1.

Step-by-step explanation:

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago

Ted jogged a total of 11.2 miles in 4 days. He jogged the same distance each day

marta [7]

Answer:

Part A: 2.8 miles

Part B: 16.8 miles

Step-by-step explanation:

First, solve for how many miles Ted jogged in 1 day:

Variable x = number of miles

11.2/4 = x/1

Cross multiply

11.2 × 1 = 4 × x

11.2 = 4x

Divide both sides by 4

2.8 = x

He jogged 2.8 miles every day.

To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:

2.8 miles × 6 days = 16.8 miles in 6 days

3 0

3 years ago

The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. T

Thepotemich [5.8K]

The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given data:

Game(x): 13 14 15 16 17 18

Attendance(y): 348 435 552 609 696 783

If plot these points on a coordinate plane, we will see these points will align in a straight line.

We know we can find a line equation with two points:

(13, 348) and (14, 435)

$\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)$

y - 435 =87(x-14)

y = 87x - 783

Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x - 783

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

7 0

2 years ago

Find the perimeter of the rectangle with points...<br> W(6,9), X(9,7), Y(3,-2), Z(0,0)

Svetradugi [14.3K]

Find the perimeter of the rectangle with points...
W(6,9), X(9,7), Y(3,-2), Z(0,0)

5 0

3 years ago

Select all the following that could

liraira [26]

Answer:

A ; C ; D

Step-by-step explanation:

Volume of a rectangular prism:

V = l x w x h

1) 5 x 4 x 3 = 60 (ok)

2) 25 x 20 x 15. The result is > 60

3) 5 x 2 x 6 = 60 (ok)

4) 4 x 1 x 15 = 60 (ok)

5) 5 x 8 x 2 = 80

5 0

3 years ago