Which equation defines the graph of y=x^2 if it is shifted vertically 3 units up, and horizontally 2 units right

Answer:

2x+y+1=0

Step-by-step explanation:

this is a first degree equation with two unknown variables, x and y. they are referred to as linear equation and are typically represented in slope intercepts form, y=mx+b, where m is the slope of the line and b is the y intercept. So you want to set the equation equal to y by isolating it to one side of the equation.

Subtract all term other than y (in this case, 2x and 1) from both sides of the equation.

2x+y+1-2x-1=0-2x-1

y=-2x-1

Answer:

M=-2 & C=-1

Step-by-step explanation:

2x+y+1=0

The equation of a straight line is given as

y=mx+c

where, m is the gradient slope

c is y- intercept

from the equation 2x+y+1=0

make y subject of the formula

2x+y+1=0

y= -2x-1

Therefore, Slope (M)=-2 & y-intercept (c)=-1

Answer:

Hi, The.

The domain of a function is the set of all possible values for x. The range is all possible values for y.

You should be able to see these pretty easily from the graph. If I understand your function correctly:

f(x) = square root(x+2) - 3

then x cannot be less than -2. Your domain is x > -2. In interval notation [-2,∞)

The lowest value for y is -3 so the range is y > -3. In interval notation [-3,∞)

Hope this helps!

Answer:

a ko ans

= 2×2+9

=4+9

= 13ans

Answer:

B strong Negative

Step-by-step explanation:

Step-by-step explanation:

tan = opp/adj

tan B = x/y

hope this helps

The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.

Given an expression, 4(7/8y-4-3/8y+7)

4(7/8y-4-3/8y+7) = 7/2y-16-3/2y+28

= 1/2(7y-32-3y+56)

= 1/2(4y+24)

= 2y+12

or, 4(1/2y+3) or 4(1/2y-4+7)

Hence, The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

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Answer:

38

Step-by-step explanation:

Answer:

B) 15

Step-by-step explanation:

Using basic logic we find that x = 4 and y = 1

4^2 = 16

1^2 = 1

16 - 1 = 15

Answer:

A

Step-by-step explanation:

AP EX

The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.

A function assigns the value of each element of one set to the other specific element of another set.

The transformation of f(x)=sin(x) to g(x)=sin(x-π/4), means that the function f(x) is shifted to the right by (π/4) units.

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Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

[tex]Initial =1\ million[/tex]

[tex]6\ years\ later = 500,000[/tex]

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

[tex]\frac{dA}{dt} = kA[/tex]

Where k represents the constant of proportionality

[tex]\frac{dA}{dt} = kA[/tex]

Multiply both sides by dt/A

[tex]\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}[/tex]

[tex]\frac{dA}{A} = k\ dt[/tex]

Integrate both sides

[tex]\int\ {\frac{dA}{A} = \int\ {k\ dt}[/tex]

[tex]ln\ A = kt + lnC[/tex]

Make A, the subject

[tex]A = Ce^{kt}[/tex]

[tex]t = 0\ when\ A =1\ million[/tex] i.e. At initial

So, we have:

[tex]A = Ce^{kt}[/tex]

[tex]1000000 = Ce^{k*0}[/tex]

[tex]1000000 = Ce^{0}[/tex]

[tex]1000000 = C*1[/tex]

[tex]1000000 = C[/tex]

[tex]C =1000000[/tex]

Substitute [tex]C =1000000[/tex] in [tex]A = Ce^{kt}[/tex]

[tex]A = 1000000e^{kt}[/tex]

To solve for k;

[tex]6\ years\ later = 500,000[/tex]

i.e.

[tex]t = 6\ A = 500000[/tex]

So:

[tex]500000= 1000000e^{k*6}[/tex]

Divide both sides by 1000000

[tex]0.5= e^{k*6}[/tex]

Take natural logarithm (ln) of both sides

[tex]ln(0.5) = ln(e^{k*6})[/tex]

[tex]ln(0.5) = k*6[/tex]

Solve for k

[tex]k = \frac{ln(0.5)}{6}[/tex]

[tex]k = \frac{-0.693}{6}[/tex]

[tex]k = -0.1155[/tex]

Recall that:

[tex]\frac{dA}{dt} = kA[/tex]

Where

[tex]\frac{dA}{dt}[/tex] = Rate

So, when

[tex]A = 600000[/tex]

The rate is:

[tex]\frac{dA}{dt} = -0.1155 * 600000[/tex]

[tex]\frac{dA}{dt} = -69300[/tex]

Hence, the amount of oil was decreasing at 69300 barrels, yearly

Answer:

the answer is 0.14285714285 theres whole answer because i dont know if u need it rounded or not

Step-by-step explanation:

the bitly stuff is not real

Answer:

21 multiplyed by .3%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Bonjour,

2x*3x =6x²

2x* -5 = -10x

-3 * 3x = -9x

-3*-5 = 15

=>

6x² -10x  - 9x +15 = 6x ² -19x  +15

Answer:

6x^2 - 19x + 15.

Step-by-step explanation:

(2x - 3)(3x -5)​

= 2x(3x - 5) - 3(3x - 5)

= 6x^2 - 10x - 9x + 15

= 6x^2 - 19x + 15.

Answer:

Sides of the rectangular area:

x =  30  f

y =  33  f

Step-by-step explanation:

Let´s call   x  and y the sides of the rectangular area

A = x*y  = 990          y  = 990/x

The function cost is:

C = Costs ( sides x)  + costs ( sides y )

Cost of sides x    =  12*x +  10x

Cost of sides y    =  10*y  +  10 *y   =  2*10*y  = 20*y

C = 12*x + 10*x + 20*y =  22*x  + 20*y

The function cost as function of x is:

C(x)  = 22*x + 20*(990/y)  =  22*x  +  19800/x

Tacking derivative on both sides of the equation:

C´(x)  = 22  + [ - 19800/x²]

C´(x) = 0       22  - 19800/x²  =  0

Solving for x

22*x²  - 19800  =  0

22x²  =  19800

x² =  19800/22 =  900

x₁,₂ = ± 30        We dismiss negative root ( we never have negative lenghts)

Then     x =  30 f

And  y  =  990 / 30      y  = 33  

To see if x = 30 is a minimum for function C(x) we evaluate the second derivative.

C´´(x) = 2*x* 19800/x⁴      

C´´ (x) = 39600/x³    so C´´ is always greater than 0 then C (x) has a minimum at x = 30

Sides of the rectangular area are:

x  =  30

y  =  33

Answer:

Multiply

Step-by-step explanation:

Answer:

100.53

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

0 is a significant figure and since there are no 0 in the number after the decimal point its 4 significant figures

Answer:

here ya go girly

Step-by-step explanation:

I hope it goes well and I hope u get the grade u want :)

Answer:

14.373 inc.sq

Step-by-step explanation:

Here's your solution

=> Area of cone = πr(r + l)

=> π = 3.14

=> radius = 1.9/2 inc

= l = 4.5 inc

=> putting value in formula

=> Area = 3.14*0.95(0.95 + 4.5)

=> Area = 2.983*5.45

=> Area of cone = 14.373 inc.sq

hope it helps

Answer:

On the 10th day, the suit should cost around $11.38.

Step-by-step explanation:

It was a long process. Not sure if it is right because that price drop is very drastic, but these math problems are always extreme. LOL

Good Luck!!

Answer:

The average yearly replacement cost is approximately $32,211,500

Step-by-step explanation:

 Exponential Distribution

P(X < x) = 1 - e -x/

[tex]P(X < x) = 1 - e^{\dfrac{-x}{\mu}}[/tex]

For the CPU, μ = 3 years

The probability that a CPU fails in less than 1 year is therefore;

P(C) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{3}} \approx 0.2835[/tex]

For the RAM, μ = 2 years

The probability that a RAM fails in less than 1 year is therefore;

P(R) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{2}} \approx 0.3935[/tex]

For the hard drive, μ = 5 years

The probability that a hard drive fails in less than 1 year is therefore;

P(H) = [tex]P(X < 1) = 1 - e^{\dfrac{-1}{5}} \approx 0.1813[/tex]

The probability that either a CPU, or a RAM or a hard drive fails in 1 year so that a replacement is required, P(C ∪ R ∪ H), is given as follows;

P(C ∪ R ∪ H) = P(C) + P(R) + P(H) - P(C∩R) - P(C∩H) - P(R∩H) + P(C∩R∩H)

∴ P(C ∪ R ∪ H) = 0.2835 + 0.3935 + 0.1813 - (0.2835 × 0.3935) - (0.2835 × 0.1813) -(0.3935 × 0.1813) + (0.2835 × 0.3935 × 0.1813) ≈ 0.64423

∴ P(C ∪ R ∪ H) ≈ 0.64423

There is a 0.64423 chance that a laptop will require replacement

For 100,000 laptops sold a year and a replacement cost of $500 per laptop, we have;

The average yearly replacement cost, 'Cost' is given as follows;

Cost = 500 × 100,000 × 0.64423 = 32,211,500

The average yearly replacement cost, Cost ≈ $32,211,500

Answer:

5) a)(-4,-6) b) (4,2)  c) (2,6)     6) (3,2)

Step-by-step explanation:

5) the solution is the points where the lines meet.

6) graphed the lines; the picture of the graph is attached below

Answer:

b. How to interpret collected data.

Step-by-step explanation:

Answer:

All of the following should be considered when designing a study except __________.

( A.)  the type of research method to use

( B.)  how to interpret collected data (ANSWER)

( C.)  who the participants will be

( D.)  the type of measurement to use

Answer:

x=28 cm

Step-by-step explanation:

Ratio of length of bigger sides to smaller sides=20:10=2:1.

[tex]\frac{x}{14}=\frac{2}{1}[/tex]

[tex]x=28[/tex]

Answer:

10% would be the answer

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

subtract 5 from all sides

20x+5-5=5x+65-5

simplify

20x=5x+60

subtract 5x from both sides

20x-5x=5x+60-5x

simplify again

15x=60

Divide both sides by 15

15x/5 = 60/15

lastly simplify to get your answer of

x = 4

Answer: x=48

Step-by-step explanation:

The length AC of the right-angle triangle will be 48 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

According to the hypotenuse-leg (HL) principle, a right triangle is harmonious if each of its third side and legs are congruent with its equivalent hypotenuse and legs in another right triangle. The HL theorem proves that these triangles are identical.

AC / AB = AB / AD

AC / 24 = 24 / 12

AC = 48 units

The length AC of the right-angle triangle will be 48 units.

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Answer:

The answer is 25 plants because all the frequencies add up to 25. While this graph could represent plants when they’re growing, all bars would be the same length though as all plants would hit a certain height.

B) Interval 150-155 has the highest frequency as 8 plants are 150-155cm.

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

the formula for the perimeter of a rectangle is 2l+2w. which means twice the length and twice the width added to together.

if you mean this:

x=21+2x

minus x on both sides

0=21-x

add 21 on both sides

21=-x

x=-21

than you subsitute

2×-21=-42

-42+21= -21

The perimeter is than -21

Answer:

-21

Step-by-step explanation:

the formula for the perimeter of a rectangle is 2l+2w. which means twice the length and twice the width added to together.

if you mean this:

x=21+2x

minus x on both sides

0=21-x

add 21 on both sides

21=-x

x=-21

than you subsitute

2×-21=-42

-42+21= -21

The perimeter is than -21