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luda_lava [24]
2 years ago
10

Please respond please ​

Mathematics
1 answer:
nalin [4]2 years ago
8 0

Answer:

Step-by-step explanation:

y=(x-2)^{2} +20\\

When you want something shifted horizontally, you must add a constant to the function within the parentheses. When you shift to the right, you minus the amount you want to shift and vice versa

When you want something to shift vertically, you must add a constant to the whole function itself. If you want to shift up, you add the amount you want to shift. If you want to shift down, minus the amount you want to shift down from the whole function.

Hope that helps!

You might be interested in
Rewrite the following expression with rational exponents. 3 sq root -27x^2 y^7<br> Show your work
andrew-mc [135]

Answer:

Step-by-step explanation:

The square root is possible only if y≤0

if y>0 the expression lose meaning, in fact (-)(+)(+) = (-) and a square root of a negative number doesn’t exist. x^2 is a square so it is ever positive if x is not 0

if y≤0 can be rewritten as:

3(-27x^2y^7)^1/2

or if we want simplify the expression:

3 \sqrt{3^2 * (-3) * x^2 * y^6 * y} = 3^2|x||y|^3 (-3y) ^1/2

we have to put the symbol of absolute value between x and y because a x^2 and y^6 are numbers that are ever positive, while x and y^3 can be also negative. Thanks to the simbol of absolute value we can “force” them to be positive

7 0
3 years ago
The volume of a rectangular solid is 180 cubic centimeters. The length is 10 centimeters, and the width is 4 centimeters. Using
boyakko [2]
V = 180 cm3
l = 10 cm
w = 4 cm
h = ?

V=lwh, so to get h, divide equation by lw, to get h=V/(lw).

h = 180/(10*4) = 4.5 cm
5 0
4 years ago
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in
Maksim231197 [3]

Answer:

20 seconds

Step-by-step explanation:

roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing

8 0
3 years ago
Find the surface area of this triangular prism
Yuki888 [10]

Answer:

300 in2

Step-by-step explanation:

area of 2 identical triangle + area of 3 rectangle = surface area

(5*12/2)*2 + 8*12 + 5*8 + 8*13 = 300 in2

4 0
4 years ago
Advanced question. Who can figure out how you can take an exchange rate which pegs $1.00 US to $1.21 CAD to see how much you wou
xenn [34]

Answer:

$0.83 when solved for (when the actual conversion is done it comes out to be $0.82)

Step-by-step explanation:

We are stating that 1 US = 1.21 CAD

Since they are equal we can assume: \frac{1 US}{1.21 CAD} =1

Assume the number we are looking for is x. x US = 1 CAD.

Since they are equal we can assume: \frac{x US}{1 CAD} =1

Both equations are equal to 1, meaning the equations are equal to each other. So, \frac{1US}{1.21CAD}=1= \frac{xUS}{1 CAD} ⇒⇒⇒⇒ \frac{1US}{1.21CAD}= \frac{xUS}{1 CAD}

Using cross multiplication we get 1US*1CAD=1.21CAD*xUS

We can discard the units (we only needed them to differentiate which currency we were talking about) to get 1 = 1.21x

Solving for x we get x = 1/1.21 = 0.82645

If you wish to round this you would get around 0.83, which is remarkably close to the actual price of 0.82. The reason for difference is in the numbers we use. When we divide 1/1.12131, we get 0.82433, which would round to be 0.82.

Hope this is correct and helps!

5 0
3 years ago
Read 2 more answers
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