What is the equation of the line that passes through the point (-2,5) and has a slope of -6

Answer:

Slope: 5

X Intercept: (8.2,0)

Y Intercept: (0, -41)

Step-by-step explanation:

Slope:

y2-y1/x2-x1=9-(-6)/10-7=9+6/10-7=15/3=5

y=5x-41 - the slope intercept form

X Intercept:

if y=0

0=5x-41

+41  +41

41=5x

8.2=x

(8.2,0)

Y Intercept:

if x=0

y=-41

(0,-41)

hope this helps

brainliest?

Answer:

1) -0.016 pounds per square inch per cubic inch.

2) [tex]\displaystyle V'(P)=-\frac{800}{P^2}[/tex]

Step-by-step explanation:

We are given the equation [tex]PV=800[/tex].

Part A)

We want to determine the average rate of change of P as V increases from 200 cubic inches to 250 cubic inches.

To find the average rate of change between two points, we find the slope between them.

Rewrite the given equation as a function of V:

[tex]\displaystyle P(V)=\frac{800}{V}[/tex]

Hence, the average rate of change for V = 200 and V = 250 is:

[tex]\displaystyle \begin{aligned} m &= \frac{P(250) - P(200)}{250 - 200} \\ \\ & = \frac{3.2 - 4}{250 - 200} \\ \\ & = -0.016\end{aligned}[/tex]

Therefore, the average rate of change is -0.016 pounds per square inch per cubic inch.

Part B)

We want to express V as a function of P. This can be done through simple division:

[tex]\displaystyle V(P)=\frac{800}{P}[/tex]

We want to show that the instantaneous change of V with respect to P is inversely proportional to the square of P. So, let's take the derivative of both sides with respect to P:  

[tex]\displaystyle \frac{d}{dP}\left[V(P)\right]=\frac{d}{dP}\left[\frac{800}{P}\right][/tex]

Differentiate. Note that 1/P is equivalent to P⁻¹. This allows for a simple Power Rule:

[tex]\displaystyle \begin{aligned} V'(P) & = 800\frac{d}{dP}\left[ P^{-1}\right] \\ \\ & = -800(P^{-2}) \\ \\ & = -\frac{800}{P^2}\end{aligned}[/tex]

Therefore, the instantaneous change of V is indeed inversely proportional to the square of P.

Option A)

Yes, Fraction 37/8 is a rational number because the decimal form of the number is terminal.

.

A Rational Number is any number that can be expressed as a fraction or ratio of two integers.

For example, 3/4, 8.75, 2, and -6 are all considered rational numbers.

Note that integers, or "whole numbers", are rational numbers. This is because they can be expressed as fractions.

For example, 2 can be rewritten as 2/1, or 200/100. -6 can be rewritten as -6/1, 6/-1, or -12/2.

Many non-integer, or decimal numbers, are also rational numbers.

For instance, 8.75 can be rewritten as 8 3/4, 875/100, or 1750/200. This also includes repeating decimal numbers like 0.3333333..., which can be rewritten as 1/3.

Fraction = 37 /8

Numerator = 37

Denominator = 8

Both are integer

The fraction of 37 divided by 8  = 37/8 is a Rational Number because both the numerator and denominator are integers.

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Answer:

3x^2+2x+15

Step-by-step explanation:

3x^2+2x+2+(4x2)+5

use pemdas

Answer:

smhhh

Step-by-step explanation:

Answer: Rational

Step-by-step explanation:

21[tex]\pi[/tex] is rational because it is [tex]\pi[/tex] times 21 which is 65.9734457254 and numbers that terminate or repeat are rational.

Answer:

yaa , when X=15, y = 3;

here the value of X is five times the value of y

so when X= 10

then. y =X/5 = 10/5= 2

so the value of y will be 2

hope you like the answer

Answer :pink i think

Step-by-step explanation:

Answer:

5 3/7

Step-by-step explanation:

Answer:

let's see what to do

Step-by-step explanation:

[tex] \frac{38}{7} = \frac{35 + 3}{7} = \frac{35}{7} + \frac{3}{7} = 5 + \frac{3}{7} \\ [/tex]

End....

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Answer:

Step-by-step explanation:

yes!

Answer:

27

Step-by-step explanation:

Answer:

a=2s-b-c

Step-by-step explanation:

2s=a+b+c

a=2s-b-c

Answer:

2s-c-b =a

Step-by-step explanation:

s = ( a+b+c)/2

Multiply each side by 2

2s = ( a+b+c)/2 *2

2s = a+b+c

Subtract c from each side

2s -c = a+b+c-c

2s -c = a+b

Subtract b from each side

2s-c-b = a+b-b

2s-c-b =a

Answer:

It would be -[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Use the slope formula to find the slope  m.

By inspection, we can see that x = ±√2, since (±√2)⁴ = 2² = 4.

In particular, if [tex]x^n=n[/tex], which means [tex]x=n^{\frac1n}[/tex], then [tex]x^{x^n}=x^n=n[/tex].

Let x = √2. Then

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^{(\sqrt2)^2}+(\sqrt2)^{(\sqrt2)^8}[/tex]

[tex]x^{x^2}+x^{x^8}=(\sqrt2)^2+(\sqrt2)^{16}[/tex]

[tex]x^{x^2}+x^{x^8}=2+256[/tex]

[tex]x^{x^2}+x^{x^8}=\boxed{258}[/tex]

Answer:

[tex]A(k) = 55k[/tex]

Step-by-step explanation:

Given

[tex]1kg = P55[/tex]

Required

Determine the cost of k kilogram

[tex]1kg = P55[/tex]

Multiply both sides by k

[tex]k * 1kg = P55 * k[/tex]

[tex]k\ kg = 55 k[/tex]

Representing this as a function:

[tex]A(k) = 55k[/tex]

Answer:

D. 1.061 + 4.899

Step-by-step explanation:

1061 + 4899     149              149

———————————  =  ———

   1000         25                     25

149          

——— = 5.96000

 25            

If this helps please mark brainliest. Have a great day!

The time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable. To solve the equation for x, use the following formula,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The ball's height h (in meters) after t seconds is given by the following.

[tex]h=70-10t-5t^2[/tex]

The ball is thrown from a height of 70 meters with an initial downward velocity of 10 m/s. In this case,

The time when the ball hit the ground has to be find out. The value of the height when it hit the group is zero. Put the value of h=0 in the above equation,

[tex]h=70-10t-5t^2\\0=70-10t-5t^2\\5t^2+10t-70=0\\5t^2+10t-70=0\\[/tex]

Solve the quadratic equation using the following formula,

[tex]t=\dfrac{-10\pm \sqrt{10^2-4(10)(-70)}}{2\times5}\\t=-4.87, t=2.87[/tex]

Consider positive value. Thus, the time when the ball hit the ground, which is thrown from a height of 70 meters with an initial downward velocity of 10 m/s is 2.87.

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Answer:

50

Step-by-step explanation:

62+(3·4)−24

62+12-24

Final Answer: 50

Answer:

50

Step-by-step explanation: :D

Answer:

Use the drop-down menus to complete each statement.

The amplitude of the function is  

✔ 48

.

The period of the function is  

✔ 28

.

The graph has a vertical shift of  

✔ 48

units.

Step-by-step explanation:

i got the question wrong for you homies, these were the correct ones on edge2020

Answer:

x=17

Step-by-step explanation:

These are corresponding angles, meaning they have the same measure. We must set them equal to each other.

Hope this helps :-)

Answer:

There were 7 small boxes and 14 large boxes shipped.

Step-by-step explanation:

This problem may be solved by a system of equations:

I am going to say that:

x is the number of small boxes used

y is the number of large boxes used

There were twice as many large boxes shipped as small boxes shipped

This means that y = 2x

Each small box of paper weighs 45 pounds and each large box of paper weighs 80 pounds. The total weight of all boxes was 1435 pounds.

This means that 45x + 80y =1435

So we have to solve the following system:

y=2x

45x + 80y =1435

45x + 80 (2x) = 1435

205x = 1435

x= 1435/205

x=7

y=2x= 2(7) = 14

There were 7 small boxes and 14 large boxes shipped.

Answer:

Y= 43, x=137, z=137 total is 360

Answer: x ≤ 15

Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x  ≤ 15.

Hope this helps!

Answer:

Y=1/4x-3/4

Step-by-step explanation:

I got this answer right on my questions

Answer:

5(y - 2)

Step-by-step explanation:

What is the GCF (Greatest Common Factor) for 5y and -10? It is 5 so you take  5 out of 5y and 5 out of -10. You put the 5 outside of the parentheses and put y - 2 inside of the parentheses. That is how you factorize 5y - 10

The factorized form of 5y - 10 is 5(y - 2).

Factorization in mathematics is the process of dividing a large number into smaller ones that when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

When we are asked to factorize an expression, we are essentially trying to write the expression as a product of simpler expressions. In this case, we want to write 5y - 10 as a product of simpler expressions.

One way to approach this is to look for a common factor that is present in both terms of the expression.

In this case, we can see that both 5y and 10 are divisible by 5. Therefore, we can factor out the greatest common factor of the two terms, which is 5.

When we factor out 5 from 5y and -10, we are left with:

5y - 10 = 5(y - 2).

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1 yard = 3 feet.

100 yards x 3 = 300 feet.

300 feet x 3/4 = 225 feet.

The answer is 225 feet.

Answer:

225 ft hope it helps