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3 years ago

Re-write the quadratic function below in Standard Form y = 3(x - 5)(x - 2)

Mathematics

1 answer:

LUCKY_DIMON [66]3 years ago

5 0

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

= 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

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fiona draws a 24 centimeter rectangle.gregory draws a 24 square inch rectangle.whose rectangle is in area .how do you know

Valentin [98]

Answer:

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

Step-by-step explanation:

Given:

Fiona draws a 24 centimeter rectangle.

Gregory draws a 24 square inch rectangle.

To Find:

Whose rectangle is in area = ?

Solution:

Rectangle has a dimension as

Length and Width which are in meters, centimeters, inches, feet, units, etc.

For Area

$Area\ of\ Rectangle=Length\times Width$

here units are getting Multiplied so it becomes

unit × unit = unit² = square units

m × m = m² =square meter

inch × inch = inch² =square inches

Hence Area is calculated in square units.

Therefore we come to a conclusion that,

Gregory's Rectangle is in Area.

6 0

3 years ago

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

andreev551 [17]

Percentage of the votes did John got overall is 25 %

<u>Solution:</u>

Given, Vivenne, John and nassim ran for 6th grade class president.

Vivenne got four votes for every 3 votes that John got.

Nassim got two votes for every vote that Vivenne got.

Now, ratio of vivenne votes to john votes = 4 : 3

a : b can be written in fraction as $\frac{a}{b}$

$\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}=\frac{4}{3} \rightarrow(1)$

Now, ratio of nassim votes to vivenne votes = 2 : 1

$\rightarrow \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{2}{1} \rightarrow(2)$

Now, multiply the above two fractions,

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}} \times \frac{\text {nassim votes}}{\text {vivenne votes}}=\frac{4}{3} \times \frac{2}{1}} \\\\ {\rightarrow \frac{\text {nassim votes}}{\text {john votes}}=\frac{8}{3} \rightarrow(3)}\end{array}$

Now, add (1) and (3),

$\begin{array}{l}{\rightarrow \frac{\text {vivenne votes}}{\text {john votes}}+\frac{\text {nassim votes}}{\text {john votes}}=\frac{4}{3}+\frac{\mathrm{s}}{3}} \\\\ {\rightarrow \frac{\text {vivenne votes+nassim votes}}{\text {john votes}}=\frac{4+8}{3}}\end{array}$

We know that total votes = vivenne votes+nassim votes+john votes

Hence substitute "vivenne votes+nassim votes = total votes - john votes "

Hence we get,

$\begin{array}{l}{\rightarrow \frac{\text {total votes}-\text {john votes}}{\text {john votes}}=\frac{12}{3}} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-\frac{\text {john votes}}{\text {john votes}}=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}-1=4} \\\\ {\rightarrow \frac{\text {total votes}}{\text {john votes}}=5} \\\\ {\rightarrow \frac{\text {john votes}}{\text {total votes}}=\frac{1}{5}}\end{array}$

Multiplying 100 on both sides,

$\rightarrow \frac{\text {john votes}}{\text {total votes}} \times 100=\frac{1}{5} \times 100$

The above expression is the formula used to calculate John vote percentage

Hence John votes percentage = 25%

6 0

3 years ago

The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle

Vaselesa [24]

Answer:

Length is <u>20 cm</u>
Breadth is <u>10 cm</u>

Step-by-step explanation:

<h3>According to the Question</h3>

It is given that,

Length of rectangle is twice as its breadth
Perimeter of Rectangle = 60cm

We have to calculate the length and

breadth of the rectangle.

Let the breadth be x cm.

then,

Length be 2x cm.

Calculating the length and breadth-

Perimeter of Rectangle = 2(Length+breadth)

By putting the value we get-

→60 = 2(2x+x)

→60 = 2(3x)

→60 = 6x

→x = 60/6

→ x = 10 cm

Since, breadth is <u>10</u> cm.

Therefore, Length = 2x = 2×10 = 20 cm.

Hence, the length and breadth of rectangle is 20 cm & 10 cm respectively.

3 0

3 years ago

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Eleven is 20% of___________

stich3 [128]

If you have 20% of an number you simply divide it by 5.
So if you divide a number by 5 and find eleven, it should look like:
x / 5 = 11
So it means x = 55

Hope this helps. :) Don't forget to choose brainliest answer please.

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3 years ago

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natali 33 [55]

-14,-12,-6,0,11,12 thats the order. hope this helps

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4 years ago

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