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3 years ago

Complete questions 6,7,8.

Mathematics

1 answer:

dusya [7]3 years ago

3 0

Step-by-step explanation:

Prime factors of :

• 80 = 2 × 2 × 2 × 2 × 5

• x² = x × x

• y = y

• 80x²y = 2 × 2 × 2 × 2 × 5 × x × x × y

Prime factors of :

• 56 = 2 × 2 × 2 × 7

• x³ = x × x × x

• y² = y × y × y

• 56x³y² = 2 × 2 × 2 × 7 × x × x × x × y × y

Prime factors of :

• 81 = 3 × 3 × 3 × 3

• x = x

• y² = y × y

• 81xy² = 3 × 3 × 3 × 3 × x × y × y

#CMIIW ^^

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PLEASE HELP ME PLEASE!!

Harman [31]

Answer:

hypotenuse (h)=?

perpendicular (p)=3

base(b)=2

using pythagoras theorem

h²=p²+b²

h²=3²+2²

h²=9+4

h²=13

h=√13

hypotenuse (h)=12
perpendicular (p)=10
base(b)=?

using pythagoras theorem

b²=h²-p²

b²=12²-10²

b²=144-100

b=√44

b=2√11

6 0

2 years ago

Use rounding or compatible numbers to estimate the sum 790+112

kifflom [539]

The answer would round to 900

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2 years ago

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Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

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2 years ago

PLZ HELP FASTTT (including brainliest

ddd [48]

Answer:

open circle at 7; arrow points left

Step-by-step explanation:

To Solve:

4x - 10 < 18

+ 10 +10

4x < 28

/4 /4

x < 7 *only flip sign when multiply/divide by negative

< means the arrow will point left and that it will be an open circle

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2 years ago

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8. Juan Torres had $899.58 in his bank

Step2247 [10]

D . Is the correct answer

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2 years ago