Substitution method

-3x + 3y = 4

-x + y = 3

Answer:

Check the attached image for the sake of my sanity typing integrals in these.

Notes on the red marks.

1. From the first to the second passage I multiplied top and bottom by 2. The bottom one stood outside the integral by linearity, the top got inside to get the derivative of the denominator.

2. Quick y substitution, it's a dy/y which should get integrated as the logarythm of the absolute value. This is a situation where you can skip it since you know that you are dealing with positive values (1 is positive, and 1 plus something squared is even greater than 1 which was positive already).

The area as x diverges also diverges

Answer:

1,61 %

Step-by-step explanation:

Divide the part you want to calculate the percentage of (in this case 7) by the total (435) and multiply by 100

7/435*100= 1,61 %

Answer: Width = 8ft, Length = 12 ft

Step-by-step explanation:

irst, let'Fs express the width of the garden as w (the unknown that we are trying to solve), since the length is 4 feet longer than it's width, we can express this as 4+w. Since the flowerbed is rectangular, the formula for the area is A=lw where l is it's length and w is it's width, replacing l with 4+w, then replace A for 96 sq.ft and we can begin solving for the unknown w. Multiplying 4+w and w, using the distributive property where a(b+c)=ab+ac, we will wind up with w^2 + 4w = 96, subtracting 96 and moving it to the other side, we end up with w^2 + 4w -96 = 0, now let's use the quadratic formula for the x intercepts where [tex]x = \frac{-b +/- \sqrt{b^2-4ac}}{2a}[/tex] , remember the quadratic equation has the form [tex]ax^2+bx+c[/tex], therefore our a value is 1, our b value is 4, and our c value is -96 (remember to put that negative!), we will get 2 answers, 8 and -12, a negative width is unreasonable and so 8 is the correct width, and since the length is 4 extra feet, this makes the length 12 feet for a total area of 96 feet. hope this helps! Its helpful to draw and visualize the problem!  

Using the fundamental counting theorem, it is found that 107,016 different choices are possible.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Then, applying the theorem:

[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]

107,016 different choices are possible.

A similar problem is given at https://brainly.com/question/19022577

Answer:

Step-by-step explanation:

Ascending means moving towards the surface.

So the submarine is 340 feet below sea level.

The submarine ascends 76feet.

∴

340

−

76

=

264

f

e

e

t

below sea level.

Answer: 425 feet

Step-by-step explanation:

650 - 225 = 425

ascend is positive

650 is technically negative

Answer:

the answer is c

Step-by-step explanation:

its the right answer lol

Answer:

(C) Formal Education is the best way to improve people's lives

Personally I thought it was (D) but now that I think about it...well yeah

The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).

Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).

If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have  (2, 13),(2, 7), and (-6,7).

If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).

Learn more here: https://brainly.com/question/14191421

Answer:

50%

Step-by-step explanation:

The diagonal line divides the square in half

I hope this help you

Answer:

Step-by-step explanation:

Let the faster train catches the slower one after x hours.

The distance the trains travel is same:

The distance is:

Answer:

1.5 meters = 150 centimeters (multiply by 100)

Therefore, you should cut off [tex]225-150=75[/tex] centimeters.

Cost is 65x + 3500 where x is = 326.

65(326) + 3500

21,190 + 3500 = $24,690 is the cost.

Revenue is 365x where x is 326.

365(326) = $118,990

Now we subtract the two:

118,990 - 24,690 = $94,300

This means that the answer is C) $94,300.

I hope this helps! :)

Answer:

[tex]C=\frac{5F-160}{9}[/tex]

Step-by-step explanation:

Let's solve for C.

[tex]F=\frac{9C}{5}[/tex]

Step 1: Flip the equation.

[tex]\frac{9}{5} C+32=F[/tex]

Step 2: Add [tex]-32[/tex] to both sides.

[tex]\frac{9}{5} C+32+-32=F+-32[/tex]

[tex]\frac{9}{5}C=F-32[/tex]

Step 3: Divide both sides by [tex]\frac{9}{5}[/tex].

[tex]\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }[/tex]

[tex]C=\frac{5F-160}{9}[/tex]

Answer:

[tex]C=\frac{F-160}{9}[/tex]

Answer:

5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0

Answer:

AB = 28cm

point C partitions AB into a ratio 1:3

they say to find the lengths of AC and CB

Usually in maths questions like this look at the order of things placed. Meaning…

ratio — 1:3

find — AC and CB

1 — AC

3 — CB

so now we know

1:3

AC:CB

1+3 = 4

28/4 = 7

7*1 = 7 = AC

7*3 = 21 = CB

Which (I believe) is the second option

the inverse of y is =x+7

Step-by-step explanation:

y=5x-7

then solve for x

5x=y+7

x=(y+7)/5

then exchange x with y

y=(x+7)/5

The inverse of the given function is expressed as:

-(x + 7)/5

The given function is expressed as:

y = -5x - 7

Replacing y with x and vice versa gives us:

x = -5y - 7

Add 7 to both sides gives:

x + 7 = -5y

divide both sides by -5 gives us:

-(x + 7)/5 = y

Thus, we conclude that the inverse of the given function is expressed as:

-(x + 7)/5

Read more about Inverse of Function at: https://brainly.com/question/3831584

#SPJ3

Answer:

3000×0.07=210 tins

Step-by-step explanation:

210 tins

Step-by-step explanation:

3000÷100×0.07

=2.1

Answer:

$334   to the nearest dollar.

Step-by-step explanation:

If you just stuff it under the bed that would be

40000/ 120          (as there are 120 months in 10 years)

= $334.333...

Answer:

The answer will be:-  ( 0.8 oz ).

I don't know how to represent it on a nomberline

I

ok so

y= 4/3x2

Y varies inversely with square of x means

y = k (1/x²) where k is the constant

plug in y =1/3 and x = - 2 in the above equation.

1/3=k (1/{-2}²)

1/3=k (1/4)

multiply with 4 to both sides.

4/3 =k

therefore,

y=4/3 (1/x²) = 4/3x²

Answer:

Area = 100cm²

Perimeter = 48cm

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3.

Answer:

2 6/15, 2 4/9, 2 3/5, 2 2/3

Step-by-step explanation:

2 6/15 = 2 2/5

8/3, 12/5, 13/5, 22/9

120/45, 108/45, 117/45, 110/45

Answer:

$350.75

Step-by-step explanation:

Answer:

2.5n+3.5n^2

Step-by-step explanation:

(6+7n-1)*n/2=2.5n+3.5n^2

Answer:

14 Is a divident of 7 and 14

Answer:

238.5p or 2.385 pounds per week

Answer: Please ignore the other answers.

Step-by-step explanation:

We stopped using half-pennies in the UK over 50 years ago.

I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.

Answer:

41

Step-by-step explanation: