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3 years ago

Please helpppppppppppp

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

B. -9/11

Step-by-step explanation:

(f/g)(-4) = f(-4) / g(-4)

To find f(-4), we plug in -4 everywhere there is an x

f(-4) = 2(-4) - 1 = -8 - 1 = -9

Same idea for g(-4):

4(-4)^2 + 14(-4) + 3

4*16 - 56 + 3 = 11

So (f/g)(-4) = f(-4) / g(-4) =

-9/11

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Answer:

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Step-by-step explanation:

2x2=4

4x3=12

12x7=84

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The dependent variable is money

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3 years ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

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Find volume of the cylinder :
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$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

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Find volume of the gap :
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$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

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$\bf \text {Answer : } 69.77 \cm^3$
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3 years ago

Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E

zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

3 0

3 years ago

Em 1 Graph the system of equations. { x−y=6 ,4x+y=4

muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. $x-y=6 ,4x+y=4$

First we will find value of x and y

Let:

$x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)$

Add eq(1) and eq(2)

$x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2$

Putting value of x in eq(1) and finding y

$x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4$

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

8 0

3 years ago