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3 years ago

7

People of Sundargram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-f

ruit trees were two more than three times the number of fruit trees.
i)What was the number of fruit trees planted?
ii)By planting trees Which quality do the people of Sundargram shows?

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Answer:

i) 36

ii) love towards nature and the environment

Step-by-step explanation:

i) 102 ÷ 3 = 34

34 + 2 = 36

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3) Write an equation for the relationship between the number of rectangles (x) and the perimeter of

GrogVix [38]

Let the number of rectangles = R

Perimeter is 2(L) + 2(W)

The length remains the same when you add more triangles ( 6).

The width changes by multiplying the width by the number of rectangles.

Since the width of the rectangles are 1, multiply the number of rectangles R by 1 to get R.

Now replace W in the perimeter frmula with R:

Now the perimetr would be: P = 2L + 2R

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3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Zigmanuir [339]

Answer:

Shift 4 units down: $g(x) = 2x - 10$

Stretching f(x) by 4 : $g(x) =8x - 24$

Shift 4 units left: $g(x) = 2x - 14$

Compress by 1/4 units : $g(x) = 8x - 6$

Step-by-step explanation:

Given

$f(x) = 2x - 6$

Required

Match the transformations (See attachment)

<u>Shift 4 units down</u>

Shifting down a function is represented as:

$g(x) = f(x) - b$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) = f(x) - b$

$g(x) = 2x - 6 - 4$

$g(x) = 2x - 10$

<u>Stretching f(x) by 4 </u>

Stretching a function by some units is represented as:

$g(x) =b.f(x)$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) =b.f(x)$

$g(x) =4 * (2x - 6)$

$g(x) =8x - 24$

<u>Shift 4 units left</u>

Shifting a function to the left is represented as:

$g(x) = f(x - b)$

In this case:

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) = f(x - b)$

$g(x) = f(x-4)$

Calculating f(x - 4)

$f(x) = 2x - 6$

$f(x - 4) = 2(x - 4) - 6$

$f(x - 4) = 2x - 8 - 6$

$f(x - 4) = 2x - 14$

Hence:

$g(x) = 2x - 14$

<u>Compress by 1/4 units </u>

This means that the function is stretched by $1/\frac{1}{4}$

Compressing a function is represented as:

$g(x) =f(bx)$

In this case:

$b = 1/\frac{1}{4}$

$b = 1 * \frac{4}{1}$

$b = 4$

Substitute expression for f(x) and 4 for b in $g(x) =f(bx)$

$g(x) =f(4x)$

Calculating f(4x)

$f(4x) = 2(4x) - 6$

$f(4x) = 8x - 6$

Hence:

$g(x) = 8x - 6$

7 0

2 years ago

Which statements are correct? Check all that apply.

kirill [66]

Answer:

A quadratic function can have two irrational roots.

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Step-by-step explanation:

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2 years ago

Read 2 more answers

A regulation softball has a circumference of 12 inches. what is the volume of the softball?

frez [133]

V=(4/3)pir^2

c=2pir
12=2pir
divide 2
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6/pi=r

sub for r
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V=(4/3)pi(36/(pi^2))
V=(4/3)(36/pi)
V=144/(3pi)
V=48/pi
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V=15.2788777155

V=15.28 in^3

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3 years ago

Divide by using long<br><br> division.<br><br> (x²-x-6)<br><br> =<br><br> (x-3)

Fudgin [204]

Answer: x + 2

Step-by-step explanation:

Given the equation to solve by long division :

Divide x² - x - 6 by x - 3

x in the divisor is used to divide the x² in the Dividend to obtain a value of x as the quotient. The quotient value is multiplied by each value in the Dividend and so on.

This steps taken obtain the quotient is clearly shown in the picture attached.

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3 years ago