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sergij07 [2.7K]
3 years ago
10

Identify all statements that are true when graphing the following square root function: f(x)=-√x-2 + 3

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

Answer:

II. The vertical shift is up 3 spaces.

III. The square root graph will flip.

Step-by-step explanation:

The given equation is;

f(x) =  -  \sqrt{x - 2}  + 3

From the given function, we deduce the parent function to be:

g(x) =  \sqrt{x}

So we can see that the transformation is of the form.

f(x) =  - g(x - 2) + 3

So there is a horizontal shift of 2 units to the right.

There is a vertical upward shift by 2 units.

There is also a reflection in the x-axis, so the parent graph will flip.

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Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

x+2y=8                      ......[2]

we can rewrite equation [2] as;

x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
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Harriet used the work below to determine the percent equivalent to One-eighth.
lbvjy [14]

Answer:

B

Step-by-step explanation:

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2 years ago
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A photograph was enlarged and made into a poster using the scale factor of 2. The photograph is 5 inches by 11 inches. What is t
arsen [322]

Answer:

the area is 55

Step-by-step explanation:

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3 years ago
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Write square root of 64 - square root of -289 as a complex number in the form of a+bi
stellarik [79]

Answer:

\sqrt{64}-\sqrt{-289}

=8-17i

Step-by-step explanation:

\sqrt{64}=8 because 8(8)=64 and 8 is the positive square root of 64.

\sqrt{-289}=17i because 17i(17i)=289i^2=-289(-1)=-289.

\sqrt{64}-\sqrt{-289}

8-17i

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3 years ago
If the area of square 2 is 225 units?, and
murzikaleks [220]

Answer:

25 square units

Step-by-step explanation:

square 1 = 100 units (perimeter)

therefore each side = 25 units

square 2 = 225 square units (area)

therefore each side = 15 units

The sequence gradually decreases by 10.

Therefore square 3 each side would be 5 units.

To find the Area = 5×5

= <u>25 square units.</u>

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2 years ago
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