1) x² 2(x+y) - y^2
2) x^4+ x^2y^2+ y^4​

Answer:

The answer is g(x) = |x - 3|

Step-by-step explanation:

Here we have a general problem of horizontal translations, we will see that the correct option is g(x) = |x - 3|

We know that the bucket was leaking for 6 hours, and then it was filled in 3 hours.

Then in the interval [-6, 0) the bucket was leaking

In the interval [0, 3] the bucket was being filled.

Now we want a transformation that represents the last 3 hours of leaking.

Also, remember that for a general function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

If N is positive, the translation is to the left

If N is negative, the translation is to the right.

If we want to represent the last 3 hours of leaking (which happen for negative values of x) then we need to move the whole graph to the right.

So, if we define the function as:

g(x) = f(x - 3)

when we evaluate g(x) in zero we get:

g(0) = f(-3)

So this new function, at the time zero, starts representing the last 3 hours of leaking of the bucket.

Remembering that f(x) = |x|

We can see that the correct option is:

g(x) = f(x - 3) = |x - 3|

g(x) = |x - 3|

Below you can see a graph with a comparison of f(x) and g(x), where the green one is f(x) and the blue one g(x).

If you want to learn more, you can read:

https://brainly.com/question/13435754

Answer:

The answer is either a or c .

Step-by-step explanation:

Answer:

c yw

Step-by-step explanation:

Answer:

I got 3.888 because when 4×2=8 and 2×2=4 and 3×2=6 so for my first row of numbers was 648 under 0 I put a 0 then multiplied 3.24 by 1 then added 648+3240=3.888

Answer:

Step-by-step explanation:

If you can't use a calculator break it apart.

1 X 3.24 is 3.24

Now take .2 x 3.24   this is easy, just remember to move the decimal in the answer one more to the left.

  3.24

x      .2

 .684        moved the decimal one more spot

Now we take 3.24 + .684

   3.24

+    .648

   3.888

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle ([tex]\frac{1}{3},\frac{1}4[/tex]).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A([tex]\frac{1}{3},\frac{1}4[/tex])

Let O be the origin i.e. (0,0)

Point B will be ([tex]\frac{1}{3},0[/tex])

Now, let us consider the right angled triangle [tex]\triangle OBA[/tex]:

Sides:

[tex]Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}[/tex]

Using Pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}[/tex]

[tex]sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}[/tex]

[tex]cos\angle AOB = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}[/tex]

[tex]tan\angle AOB = \dfrac{Perpendicular}{Base}[/tex]

[tex]\Rightarrow tan\angle AOB = \dfrac{3}{4}[/tex]

[tex]cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}[/tex]

[tex]\Rightarrow cosec\angle AOB = \dfrac{5}{3}[/tex]

[tex]sec\angle AOB = \dfrac{Hypotenuse}{Base}[/tex]

[tex]\Rightarrow sec\angle AOB = \dfrac{5}{4}[/tex]

[tex]cot\angle AOB = \dfrac{Base}{Perpendicular}[/tex]

[tex]\Rightarrow cot\angle AOB = \dfrac{4}{3}[/tex]

Answer:

Option C.  y = ( c + b ) / a

Step-by-step explanation:

For this problem, we must simply isolate the y variable from the unknowns a, b, and c.

ay - b = c

ay - b + b = c + b

ay = c + b

ay * ( 1 / a ) = ( c + b ) * ( 1 / a)

y = ( c + b ) * ( 1 / a )

y = ( c + b ) / a

Thus, we will want to choose option C.

Cheers.

Answer:

b

Step-by-step explanation:

x is the number each person will get

b is the only possible answer

Let's make a proportion to solve this problem.

[tex]\frac{9}{54}=\frac{4}{x}[/tex]

[tex]9x=216[/tex]

[tex]x=24[/tex]

4 tickets cost $24

Hope this helps.

頑張って!

Step-by-step explanation:

Hey there!

Simply work with it.

As it is a Right angled triangle, taking angle 40° as a reference angle. Then,

Length of board = hypotenuse = 15 feet.

To find: height of ladder = perpendicular.

Now,

Taking sin ratio,

[tex] \sin = \frac{p}{h} [/tex]

[tex]sin \: 40 = \frac{p}{15} [/tex]

or, as in per the given sin value is 0.6428

so,

[tex]0.6428 = \frac{p}{15} [/tex]

or, 15 × 0.6428 = p

or, p = height of ladder = 9.642.

Therefore, p = height of ladder = 10 feet. { rounding off we get 10 feet as answer}.

Hope it helps...

Answer:

13i, -13i

Step-by-step explanation:

To solve this equation, we need to take the square root of both sides. The square root of 169 can be either 13 or -13, but this time, they asked for -169. Whenever we take the square root of a negative number, we put the letter i, which stands for imaginary. It is never capitalized, so we remove the negative sign from -169, and take the square root of that. We get -13 and 13 as our answers, and we multiply both numbers by i to get -13i and 13i. Any solutions with i in it are considered complex solutions

Answer: i) 512,000 cm³      ii) 512,000 cc        iii) 512 litres

Step-by-step explanation:

Volume (V) of a cube is side (s) cubed:    V = s³

Given: s = 80 cm

i) V = (80 cm)³

      = 512,000 cm³

ii) 512,000 cm³ = 512,000 cc

iii) 512,000 cm³ × 1 liter/1000 cm³ = 512 liters

Answer:

Divide the previous value by 5

Step-by-step explanation:

Answer:

Expected temperature = - 58°C

Step-by-step explanation:

Given:

Current temperature = 12°C

Drop in temperature = 70°C

Find:

Expected temperature

Computation:

Expected temperature = Current temperature - Drop in temperature

Expected temperature = 12°C - 70°C

Expected temperature = - 58°C

Answer:

9.4

Step-by-step explanation:

The distance formula is d=√((x₂-x₁)²+(y₂-y₁)²)

d=√((8-0)²+(0-5)²)

d=√((8²)+(-5²))

d=√(64+25)

d=√(89)

d=9.433981

d=9.4

Hope this helps :-)

Answer: 9.4 units

Step-by-step explanation:

===========================================================

Explanation:

Let's assume that x is the largest value of the list. If so then x = 60 because

range = max - min

range = x - 1

range = 60-1

range = 59

Effectively, you work backwards to go from a range of 59 to have x = 60 as the max.

So x = 60 is one possible value. We can't have x any larger or the range would be larger.

But we can have x be smaller. Specifically, it would be the min of the list. If negative x values are allowed, then x = -9 is the other possible x value

Here's why

range = max - min

range = 50 - x

range = 50 - (-9)

range = 50+9

range = 59

Answer:

x=3/8

Step-by-step explanation:

2*x=3/4

x=3/4*2

x=3/8

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

A chronotype is a behavioral manifestation of an underlying circadian rhythms of the myriad physical processes.

The chronotype word may be defined as an individual's natural tendency to remain active mostly at certain times of the day. Some people remain active and alert in the early time of the day and some are alert and active in the late night.

The chronotypes are : Morning person, night person, neither/both.

It is assume that the birth month and year of a person influences his or her chronotype. But if birth month is not related to theses personality traits of a person, then it can be expected that nearly 1/3rd of the fraction of the students in class picks the chronotype which corresponds to their birth type.

Answer:

2 cuadrante

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

If 42 people equally share the bus price off 788 dollars then ech person would be expected to pay 788/42 = $18.76 (2dp) though I suppose if you needed to estimate it, you would round 788 to 800 and 42 down to 40 which would give you 800/40 = 20 dollars per person which is a pretty close estimate.

Hope this helped!

Answer:

Step-by-step explanation:

[tex]1\frac{1}{2} \:cups \:of\:milk\\2.25\:cups \:of\:flour\\1\frac{1}{4} \:cups\:of\:other\:ingredients\\\\Total = 1\frac{1}{2} + 2.25 + 1\frac{1}{4} \\= 5\:cups\\\\1\:dozen = 5\:cups\\3 \:dozen(36\:cookies) = x \:cups\\\\Cross\:multiply\\\\x = 5\times 3\\x = 15 \:cups[/tex]

Answers: A, B, C

These three deal with numeric values, so that is why they are quantitative variables. Think quantitative as quantity to help remember.

In contrast, choice D is a qualitative variable. Instead of dealing with numbers, it deals with symbols or labels. You could also call this a categorical variable (each label being its own category).

Answer:

-19

Step-by-step explanation:

2 (c + 3) = c - 13

2c + 6 = c - 13

2c + 19 = c

19 = - c

c = - 19

Answer:

f(-1) = 1

Step-by-step explanation

[tex]f(-1)= 2(-1)^{2} + 3\\f(-1) = -2 + 3\\f(-1) = 1[/tex]

Answer:

[tex]Area = 112.5[/tex]

Step-by-step explanation:

Given

[tex]X = (15,20)[/tex]

[tex]Y = (15,5)[/tex]

[tex]Z = (0,5)[/tex]

Required

Determine the area of the triangle

The area is calculated using the following formula:

[tex]Area = |\frac{X_x(Y_y - Z_y) + Y_x(X_y - Z_y) + Z_x(X_y - Y_y)}{2}|[/tex]

Where

[tex](X_x,X_y) = (15,20)[/tex]

[tex](Y_x,Y_y) = (15,5)[/tex]

[tex](Z_x,Z_y)= (0,5)[/tex]

Substitute right values in the given formula:

[tex]Area = |\frac{15(5 -5) + 15(20 - 5) + 0(20 - 5)}{2}|[/tex]

[tex]Area = |\frac{15(0) + 15(15) + 0(15)}{2}|[/tex]

[tex]Area = |\frac{0 + 225 + 0}{2}|[/tex]

[tex]Area = |\frac{225}{2}|[/tex]

[tex]Area = |112.5|[/tex]

[tex]Area = 112.5[/tex]

Hence, the area of the triangle is 112.5

Answer:

0.703

Step-by-step explanation:

19/70 = 70.37/100

Hope This Helps :)

Answer:

0.7037

Step-by-step explanation:

0.7037 is a decimal and 70.37/100 or 70.37% is the percentage for 19/27.

Answers:

x intercept = 4

y intercept = 2

============================================

Explanation:

To find the x intercept, plug in y = 0 and solve for x

5x+10y = 20

5x+10(0) = 20

5x = 20

x = 20/5

x = 4

The x intercept is x = 4, which means it is located at the point (4,0)

-----------------------

We'll flip things around for the y intercept. Plug in x = 0 and solve for y to get the y intercept.

5x+10y = 20

5(0)+10y = 20

10y = 20

y = 20/10

y = 2

The y intercept is located at (0,2), but we can just say "the y intercept is 2" as an alternative.

Step-by-step explanation:

6y - 10y - 11 = 8y - 2y + 29

6y - 10y +16y - 11 = 8y - 2y + 29 + 16y

-11 = 22y + 29

11 = 22y + 40

-29 = 22y

Not sure yet I think I made a mistake hold up