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Orlov [11]
3 years ago
14

Geometry math question no Guessing Please help

Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

Starting from the parent function f(x) = x^2, the first function is

f(x-2) + 5

So, it's translated two units right and five units up.

The second function is

f(x+2) - 3

So, it's translated two units left and three units down.

This means that, horizontally, you go from two units right to two units left, so you must go 4 units to the left globally.

x-coordinate: -4

Vertically, you go from five units up to three units down, so you must go 8 units down globally.

y-coordinate: -8

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6. Courtney bought a shirt for $24 with a
7nadin3 [17]

let the original price be x.

then,

x- 25% of x= 24

x- 25x/100 = 24

x-   x/4=24

3x/4=24

3x= 96

x= 32

in short...the original price= 32 dollars

8 0
3 years ago
Solve the equation 3x + 4 = 5x - 8​
CaHeK987 [17]

Answer:

x = 6

Step-by-step explanation:

3x + 4 = 5x - 8

==> add 8 to both sides

in doing so we get 3x + 4 + 8 = 5x - 8 + 8

the -8 and the +8 cancels out and 4 + 8 = 12

we are left with 3x + 12 = 5x

==> subtract 3x from both sides

in doing so we get 3x - 3x + 12 = 5x - 3x

the 3x and -3x cancel out and 5x - 3x = 2x

we are left with 12 = 2x

==> divide both sides by 2

in doing so we get 12/2 which equals 6 and 2x/2x which leaves us with

6 = x

3 0
2 years ago
Read 2 more answers
Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight time the number. What is zabato's
9966 [12]

Answer:

Zabato is thinking of 6

Step-by-step explanation:

I first set it up as an equation based on the word problem you have given me

(n + 10)3 = 8n

Distribute the 3

3n + 30 = 8n

Isolate n

3n - 8n +30 - 30 = 8n - 8n - 30

-5n = -30

-5n/-5 = -30/-5

n = 6

To check replace 6 with n

(6 + 10)3 = 8 (6)

(16)3 = 48

48 = 48

5 0
3 years ago
3xyz is also a choice but once again i can’t simplify
Nataliya [291]

Answer:

3xyzsquare root of xy^2

the third option

Step-by-step explanation:

look for what you cn take from all of it equally

5 0
3 years ago
Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
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