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kramer
2 years ago
12

I need help ASAP What is (g-f)(x)?

Mathematics
2 answers:
Lena [83]2 years ago
5 0

Step-by-step explanation:

g(x) = -x² - 1 - 2x

f(x) = x + 5

(g-f)(x) = g(x) - f(x)

(g-f)(x) = (-x² - 1 - 2x) - (x + 5)

(g-f)(x) = -x² - 2x - x - 1 - 5

(g-f)(x) = -x² - 3x - 6

olga nikolaevna [1]2 years ago
4 0

Answer:

-x^2-3x-6

Step-by-step explanation:

(g-f)(x) is simply the difference between the two functions g(x) and f(x). If g(x)=-x^2-1-2x and f(x)=x+5, then

(g-f)(x)=(-x^2-1-2x)-(x+5)\\(g-f)(x)=-x^2-1-2x-x-5\\(g-f)(x)=-x^2-3x-6

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A rectangular garden has an area of 24 square meters. The width is 8 meters less than twice the length. Find the dimensions of t
OLEGan [10]

Answer:

Length: 6 m

Width: 4 m

Step-by-step explanation:

Area: 24 m^{2}

Width: 2L - 8 m

Length: ?

Formula: A = W * L

Replace the variables:

24 = (2L - 8) * L

24 = 2L^{2} - 8L

0 = 2L^{2} - 8L - 24

or

2L^{2} - 8L - 24 = 0

Solve; if you don't know how to solve it using this method, let me know. It's the expression Ax^{2} +Bx+C

1. 2 (\frac{(2L^2 - 8L - 24)}{2})

2. \frac{(2L)^2 - 8(2L) - 48}{2}

3. \frac{(2L - 12)(2L + 4)}{2}

4. 2(\frac{(L - 6)(2L + 4)}{2})

5. (L-6) (2L+4)

6. L-6 = 0 AND 2L+4 = 0

L - 6 =0

L = 6

---------------------------------

2L = -4

L = \frac{-4}{2}

L = -2

Since the length cannot be negative, the only real value is 6.

Area: 24 m^{2}

Width: 2L - 8 m

Length: 6 m

Calculate width:

W = 2L - 8

W = 2(6) - 8

W = 12 - 8

W = 4 m

3 0
3 years ago
What is another name for a natural number?
rosijanka [135]
Another name for natural numbers that I've heard is counting numbers since they are the numbers that we count with.
7 0
3 years ago
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How do i do this?? Can you please help ? :)
Paul [167]
-3(b-4) = -2b
-3b + 12 = -2b
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3 years ago
Vertices (15,0) and (-15,0), conjugate axis of length 4 units
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Answer:

Step-by-step explanation:

16 units

8 0
3 years ago
A kitchen is 12 ft. by 14 ft. with 10 ft. high walls. How much would it cost to put vinyl flooring in this room? $8.80 per ft
Feliz [49]

<em>Answer:</em>

<em>In my opinion the answer would be 520x.</em>

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

<em>Let x be the price of wallpaper per square feet. </em>

<em>Dimensions of a kitchen are: </em>

<em>width: w = 12 ft </em>

<em>length: l = 14 ft </em>

<em>height: h = 10 ft </em>

<em> </em>

<em>If you need to put wallpaper in the room, you will put it only on the walls. There are 4 walls in the kitchen: two walls which dimensions are 12 ft and 10 ft, and two walls which dimensions are 14 ft and 10 ft. Since walls are of rectangular shape, we will use the following formula for the area of walls: </em>

<em>A = 2 * w * h + 2 * l * h </em>

<em>A = 2 * 12 * 10 + 2 * 14 * 10 </em>

<em>A = 240 + 280 </em>

<em>A = 520 ft² </em>

<em> </em>

<em>So, if 1 square foot costs x, 520 square feet will cost </em><em><u>520x</u></em>

8 0
2 years ago
Read 2 more answers
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