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Nataliya [291]
3 years ago
5

Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().​

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
5 0

Answer:

We get \mathbf{(f-g)(x)= -x^2-3x-8}

Step-by-step explanation:

We are given:

f(x) = -3x - 3\\ g(x) = x^2 + 5

We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))

We would simply subtract f(x) and g(x)

(f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8

So, We get \mathbf{(f-g)(x)= -x^2-3x-8}

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dimaraw [331]

The answer is

round cake - 82.42 in²

rectangular cake - 114 in²

Round cake:

d = 7 in

r = d/2 = 7 in / 2 = 3.5 in

h = 2 in

The surface are of a cylinder is:

A = 2πr² + 2πrh

The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:

A = 2πr² + 2πrh - πr²

A = πr² + 2πrh

A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2

= 38.46 + 43.96

= 82.42 in²

Rectangular cake:

w = 6 in

l = 9 in

h = 2 in

The surface are of a rectangle is:

A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is:

A = 2wl + 2wh + 2lh - wl

A = wl + 2wh + 2lh

A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2

= 54 + 24 + 36

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Step-by-step explanation: This answer is not mine but JcAlmighty’s so all credits go to them.

7 0
3 years ago
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Which equation would take y = 2x + 5 and make the line steeper, but not
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Step-by-step explanation:

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Century Go...
LekaFEV [45]

6 bills in the deposit were $10 bills.

<u>Step-by-step explanation:</u>

The total number of bills he gave the teller = 24 bills

x + y = 24 ------------(1)

Let,

x be the number of $5 bills.

y be the number of $10 bills.

The total bank deposit made using $5 and $10 bills are $150.

<u>He deposits $5 bills and $10 bills. So, the equation can be framed as : </u>

5x + 10y = 150 --------(2)

The question is asked for how many $10 bills were in the deposit,

Here 'y' is the number of $10 bills.

<u>To solve for y value : </u>

The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),

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-(<u>5x + 10y = 150</u>)

 <u>-5y = -30      </u>

⇒ y = 30/5

⇒ y = 6

Therefore, there were 6 bills in the deposit that are $10 bills.

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One can be, they both have the same absolute value no matter what.
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A line passes through (2, −1) and (4, 5).
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