Pls help and SHOW WORKINGS it due asap.

Answer:

[tex]\frac{dy}{dx}[/tex] = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

[tex]\frac{dy}{dx}[/tex] = f'(g(x)) × g'(x)

Here

f(x) = [tex](2x+3)^{4}[/tex] ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

[tex]\frac{dy}{dx}[/tex] = 4(2x + 3)³ × 2

    = 8(2x + 3)³

Answer:

50,373 feet

Step-by-step explanation:

tan 15° = 13500 / x

.268 = 13500 / x

x = 50,373

Answer:

There are 72 crayons in the box

Step-by-step explanation:

Fractions

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

[tex]1-\frac{4}{9}=\frac{5}{9}[/tex]

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

[tex]\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}[/tex]

Thus, the portion of yellow crayons is:

[tex]\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}[/tex]

This fraction of x crayons is equal to 14, thus:

[tex]\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}[/tex]

x = 72

There are 72 crayons in the box

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Answer: a. Lin's tank hold 20 cups and Elena's tank hold 20 gallons; I know this because gallons are greater than cups.

Step-by-step explanation:

Gallons are greater than cups so the fish tank that will hold 20 gallons would have to be the bigger one which in this case is Elena's.

With cups being lesser in quantity than gallons, the fish tank that will hold 20 cups of water will definitely have to be the smaller one which in the case is Lina's.

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

Given:

The two endpoints are (4,5) and (4,-3).

To find:

The line segment between the given endpoints and the length of the line segment.

Solution:

Plot the given point and connect them by and straight line segment as shown in the below graph.

The distance between (4,5) and (4,-3) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(4-4)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]d=\sqrt{0+64}[/tex]

[tex]d=\sqrt{64}[/tex]

[tex]d=8[/tex]

Therefore, the length of the line segment is 8 units.

Answer:

change/original price X 100

22/88 X 100 = 25%

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

5.567764363 or rounded off to two decimal places 5.57

Step-by-step explanation:

Calculator

Answer:

-2

Step-by-step explanation:

f(x) = –x– 5

f(x) = -(-3)– 5

f(x) = 3– 5

f(x) = -2

Answer:

Answer is -2 because - * - = + 3-5=-2

Answer:

The regular costs 11 dollars each while the deluxe cost 23 each.

Step-by-step explanation:

You need to setup two equations.I used two variable for the prices of the types of pizzas because they are unknown.I used x for the cost of regular and y for the cost of deluxe.The equation I did are 10x+y=133 and 7x+9y=284.You need to solve one equation only.I solved the first one.

Answer:

The length of the shorter part of the wire is 24 centimeters.

Step-by-step explanation:

Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:

[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)

And we expand this polynomial below:

[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]

[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]

[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)

If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:

[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]

By the Quadratic Formula, we determine the roots associated with the polynomial:

[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]

The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.

Answer:

There ya go

Step-by-step explanation:

Answer:

15/2

Step-by-step explanation:

goodluck on the rest! (:

Answer:

X = 3

Step-by-step explanation:

18 - 3 = 15

5x = 15

divide both sides by 5

X = 3

Answer:

[tex]3 - 5x = 18 \\ - 5x = 18 - 3 \\ - 5x = 15 \\ x = \frac{15}{ - 5} \\ \boxed{x = - 3}✓[/tex]

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

   x + 53° + 60° = 180°  {subtract 113° from both sides}

   x = 67°

Answer:

(0,4)

Step-by-step explanation:

When you are finding the y-intercept, the x = 0

y = -2x + 4

y = -2(0) + 4

  = 0 + 4

y = 4

Meaning y = (0,4)

[tex]\sf{\underline{Given:-}[/tex]

   [tex]~~~~~~~\bigstar\overbrace{The~equation~of~the~line}}[/tex]

[tex]\sf{\underline{To~find:-}}[/tex]

[tex]\bigstar{\overbrace{The~y-intercept~of~the~line}}\\\sf{\underline{Solution:-}}[/tex]

Since the equation is written in slope-intercept form (y=mx+b), then we just look at the b term, which stands for the y-intercept.

Notice that the y-intercept is a constant...

Hence, the y-intercept of the line is

[tex]\bigstar{\boxed{\pmb{4}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

Answer:

-8-x or -x-8 or x=-8

Step-by-step explanation:

Distribute the -8 to the (1+x)

-8-8x+7x

then add the -8x+7x

-8-x or -x-8

and if you want to solve for x

x=-8

Answer:

-7/3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = -7/3x + 5

Step 2: Break Function

Identify Parts

Slope m = -7/3

y-intercept b = 5

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Answer: x=9 1/3

Step-by-step explanation:

-5=-3x-33

-5+33=-3x

28=-3x

3x=-28

x=28/3

x=9 1/3

Answer: X=-28/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5=−3(x+11)

−5=(−3)(x)+(−3)(11)(Distribute)

−5=−3x+−33

−5=−3x−33

Step 2: Flip the equation.

−3x−33=−5

Step 3: Add 33 to both sides.

−3x−33+33=−5+33

−3x=28

Step 4: Divide both sides by -3.

-3x/-3= 28/-3

X=-28/3

have a nice day :)