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:

3000×0.07=210 tins

Step-by-step explanation:

210 tins

Step-by-step explanation:

3000÷100×0.07

=2.1

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!  

Answer:

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

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:

1.5 meters = 150 centimeters (multiply by 100)

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

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

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:

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:

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

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

I

Answer:

14 Is a divident of 7 and 14

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! :)

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:

Area = 100cm²

Perimeter = 48cm

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:

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:

50%

Step-by-step explanation:

The diagonal line divides the square in half

I hope this help you

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

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:

2.5n+3.5n^2

Step-by-step explanation:

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

Answer:

41

Step-by-step explanation:

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:

$350.75

Step-by-step explanation:

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 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

Answer:

The answer will be:-  ( 0.8 oz ).