A linear function f models a relationship in which the dependent variable decreases 3 units for every 2 units the independent variable increases. The value of the function at 0 is -5. Identify the slope, y-intercept, and x-intercept of the graph.
FULL EXPLANATION PLEASE.

Answer:

415 ft/s

Step-by-step explanation:

I've attached a diagram showing the triangle formed between the plane, the person and the radio tower.

From the attached diagram, x represents the position between the person and the position on the ground directly below the airplane while s represents the distance between the person and the plane.

The constant elevation remains 4090 ft while the value of x and s varies with time.

Thus, x varies with respect to time as dx/dt while s varies with respect to time as ds/dt.

Now, we are told that the plane is flying at the rate of 700 ft/s. This means that; dx/dt = 700 ft/s

Now we want to find the rate at which the distance between the person and the plane is increasing when the plane passes over the radio tower.

This means that we want to find ds/dt when x = 3010 ft

From pythagoras theorem if x = 3010 ft and the Elevation remains 4090 ft, we can find s as;

s = √(4090² + 3010²)

s = √25788200

s ≈ 5078.21 ft

Since we want to find ds/dt at x = 3010 ft, from the diagram, we can say from pythagoras theorem that;

x² + 4090² = s²

Differentiating x and s with respect to t, we have;

2x(dx/dt) = 2s(ds/dt)

2 will cancel out to give;

x(dx/dt) = s(ds/dt)

ds/dt = (x/s)(dx/dt)

Plugging in 700 for dx/dt, 3010 for x and 5078.21 for s, we have;

ds/dt = (3010/5078.21) × 700

ds/dt ≈ 415 ft/s

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

This sounds sus to me ┐(￣ヘ￣)┌

Answer:

p = -2

Step-by-step explanation:

24 divided by -12

p= -2

[tex]given \: that \ :[/tex]

[tex]x = 8[/tex]

[tex]then \:12 - x \: will \: be \: :[/tex]

[tex]12 - 8[/tex]

[tex] = 4[/tex]

[tex]∴ \: 12 - 8= 4 [/tex]

Answer:

The result of 12-x when x=8, is 4

Step-by-step explanation:

Numerical Evaluation

Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.

The given expression is

12 - x

Substituting x = 8, we get:

12 - 8 = 4

The result of 12-x when x=8, is 4

Answer:

i don't get that ether

Step-by-step explanation:

Answer:

525 ml

Step-by-step explanation:

12 : 175 ml

36 : x

= 175 × 36

= 6300

x = 6300/12

= 525 ml

The amount of milk that is used while baking 36 scones will be 525 mL.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Chloe runs the after-school cookery club. The group will be baking 36 scones using the following recipe.

Recipe for 12 scones:

The amount of milk that is used while baking 36 scones will be given as,

⇒ 175 x 36 / 12

Simplify the expression, then we have

⇒ 175 x 36 / 12

⇒ 175 x 3

⇒ 525 mL

The amount of milk that is used while baking 36 scones will be 525 mL.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

Answer:

20%

Step-by-step explanation:

[tex]percent change = \frac{difference}{original value} * 100[/tex]

[tex]= \frac{100}{500} * 100\\= 20[/tex]

Answer:

258.96

Step-by-step explanation:

%30 = 0.3

%6   = 0.06

so..

349 - (349 × 0.3)

349 - 104.7

244.3

then do the tax which is %6 or 0.06

244.3 + (244.3 × 0.06)

244.3 + 14.66

258.96

Good Job! Pls Brailniest! it would mean a lot ;) !

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

Answer:

30 is saved

Step-by-step explanation:

20 x 3 = 60 - 50 = 10, you get 10 three times because of 9 / 3 = 3 you get 10 x 3 = 30

Answer:

en que exactamente necesitas mi ayuda????

Step-by-step explanation:

???????

Answer: Shonda used 1/4 of her paint on each wall.

Step-by-step explanation:

If she used 3/4 of her paint on 3 walls, then each wall used up 1/4 of her paint.

3/4 divided by 3 = 1/4

Hope this helps!

Answer:

6

Step-by-step explanation:

Let that number be x.

[tex]2x = 9 + 3[/tex]

[tex]2x = 12[/tex]

[tex]x = 6[/tex]

Answer: There is 1,000 milligrams in 1 gram.

Answer:

1000mg

Step-by-step explanation:

to be honest that's the obvious answer

and in advance

1kg=1000000mg

1kg=1000g

1g=1000g

Answer:

The answer is "non-real solution: "i-3 and -i-3" and real solution is -2".

Step-by-step explanation:

In the given equation there is some mistype error so, its correct equation can be defined as follows:

Given value:

[tex]\bold{ f(x) = x^3+ 8x^2 +22x +20}[/tex]

use hit and trial method we put x value are -2:

 [tex]f(-2) = (-2)^3+ 8(-2)^2 +22(-2) +20\\\\[/tex]

            [tex]= -8 + 8 \times 4 +22 \times -2 +20\\\\= -8 + 32 -44 +20\\\\= -52 + 52\\\\=0[/tex]

So, the real solution to the equation is "-2".

In the above solution, we calculate the f(x) =-2 is its real solution. so, the calculation for non-real solution:

divide the value [tex]x^3+8x^2+ 22x +20[/tex] by ([tex]x+2[/tex]):

Quotient: [tex]x^2+6x+10[/tex]

Remainder: 0

[tex]\to x^2+6x+10 \\\\compare \ with \ ax^2+bx+c: \\\\a= 1\\b= 6\\c=10\\\\\bold{Formula:}\\\\\to D= b^2-4ac\\\\[/tex]

        [tex]= 6^2- 4 \times 1 \times 10\\\\ = 36- 40\\\\ = -4[/tex]

Formula for calculate non-real solution:

[tex]\bold{\frac{-b\pm \sqrt{D}}{2}}[/tex]

non-real solution: "i-3 and -i-3"

Answer:

60th term is 1052

Step-by-step explanation:

position to term rule : position number multiplied by 18 then minus 28 (  position number × 18 - 28)

60 × 18 - 28

Answer:

the answer is 1/8

thank you

if you loved my answer then please like it and mark as brainliest

Step-by-step explanation:

I think 12.5 is the answer

Answer:

3/35

Step-by-step explanation:

3*1=3

5*7=35

3/35

Answer:

Can you redo it so I can answer it's kind of confusing

Answer:

81 - 27(n-1)

Step-by-step explanation:

Answer:

1.2

2.4

3.6

4.8

5.9

6.4

7.3

8.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi! the log properties say that when logs are multiplied as log(xy), they can be expanded and added like log(x)+log(y). when logs are divided like log(x/y), they can be expanded as log(x)-log(y). when the log has an exponent like log(x^y), the exponent can be added to the front of the log like ylog(x). we can use these properties for this problem.

ln(x^3)+ln(y^2)-ln((x+1)^4)

ln(x^3*y^2)-ln((x+1)^4)

[tex]ln(\frac{(x^3y^2)}{((x+1)^4)})[/tex]

Answer:

86.9

Step-by-step explanation:

This is because after the decimal point, it goes to the tenths place and then the thousands place, therefore, if you round it, it would be 86.9.

Answer:

48/60=24/30=15/12=4/5 or 4:5

So your final answer is 4/5 or 4:5

Step-by-step explanation:

Answer:

A. -3

Step-by-step explanation:

edge test

The value of x in the matrix equation comes to be 1.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object.

The given matrix equation is:

[tex]-2\left[\begin{array}{cc}x&-1&3&5\\\end{array}\right] + \left[\begin{array}{cc}3&8&-1&6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

Multiply -2 with each element of the first matrix i.e. first matrix on the left side of the equation followed by the addition of matrices we get:

[tex]\left[\begin{array}{cc}-2x+3&2+8&-6-1&-10+6\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

[tex]\left[\begin{array}{cc}-2x+3&10&-7&-4\\\end{array}\right] =\left[\begin{array}{cc}x&10&-7&-4\\\end{array}\right][/tex]

On comparing both matrices

-2x+3 = x

3x=3

x=1

Hence, the value of x in the matrix equation comes to be 1.

To get more about matrices visit:

https://brainly.com/question/1821869

Answer: 1.325

Step-by-step explanation: I multiplied

Answer:

58,683

Step-by-step explanation:

subtract

Meaning lees 10 from 20 and multiply

Hi there!

First of all, let the unknown number be z.

Now, subtract 10:

z-10

This expression is equal to twice the same number:

z-10=2z

Solve this equation:

z-2z=10

-z=10

Divide both sides by -1 in order to get rid of the minus sign:

z=-10

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)