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3 years ago

PLZ HELPDONT TROLL IM NICE

Mathematics

1 answer:

marysya [2.9K]3 years ago

7 0

Answer:

0.25y +7y

Step-by-step explanation:

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Why do biologists have taxonomic systems?

Komok [63]

<span>To provide consistent ways to identify and classify organisms as they are being studied.</span>

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3 years ago

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Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?

AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5 where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a + b = -1 .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0

3 years ago

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morpeh [17]

Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

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1 year ago

Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2

Anna [14]

Answer:

See attached

Step-by-step explanation:

Given function:

y = -2x² + 5x + 8

Table and graph are attached

Zeros are included in the graph

<u>Zero's are obtained:</u>

x = 0 ⇒ y = 8

y = 0 ⇒ Solving quadratic equation

-2x² + 5x + 8 = 0
x = (-5 ± √(25 + 2*4*8))/-4
x = 3.608
x = -1.108

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)

3 0

3 years ago

Describe the graph of y=3/4x-12 as compared to the graph of y=1/x

Eddi Din [679]

Answer:

Parent function is compressed by a factor of 3/4 and shifted to right by 3 units.

Step-by-step explanation:

We are asked to describe the transformation of function $y=\frac{3}{4x-12}$ as compared to the graph of $y=\frac{1}{x}$ .

We can write our transformed function as:

$y=\frac{3}{4(x-3)}$

$y=\frac{3}{4}*\frac{1}{(x-3)}$

Now let us compare our transformed function with parent function.

Let us see rules of transformation.

$f(x-a)\rightarrow\text{Graph shifted to the right by a units}$ ,

$f(x+a)\rightarrow\text{Graph shifted to the left by a units}$ ,

Scaling of a function: $a*f(x)$

If a>1 , so function is stretched vertically.

If 0<a<1 , so function is compressed vertically.

As our parent function is multiplied by a scale factor of 3/4 and 3/4 is less than 1, so our parent function is compressed vertically by a factor of 3/4.

As 3 is being subtracted from x, so our parent function is shifted to right by 3 units or a horizontal shift to right by 3 units.

Therefore, our parent graph is compressed by a factor of 3/4 and shifted to right by 3 units to get our new graph.

5 0

3 years ago