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ddd [48]
3 years ago
11

Look at the picture

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Answer: 54

Step-by-step explanation:

3 times the square of -3 plus -5 times -3 plus 12

3 times 9 + 15 + 12

27+15+12=

54

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O. Find the domain and range of each of the three restricted functions.
Orlov [11]

The domain and range of the functions sin x, cos x, and tan x will be (-∞, ∞) and [-1, 1], (-∞, ∞) and [-1, 1], and R - (2n + 1)π/2 and (-∞, ∞) respectively.

<h3>What are domain and range?</h3>

The domain means all the possible values of x and the range means all the possible values of y.

The three restricted functions are given below.

f(x) = sin (x)

f(x) = cos (x)

f(x) = tan (x)

Then the domain of the three restricted functions will be

The domain of sin x will be (-∞, ∞).

The domain of cos x will be (-∞, ∞).

The domain of tan x will be R - (2n + 1)π/2.

Then the range of the three restricted functions will be

The range of sin x will be [-1, 1].

The range of cos x will be [-1, 1].

The range of tan x will be (-∞, ∞).

The graph is given below.

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

4 0
2 years ago
Each time Shelley goes tobthe store she likes to buy gum.She buys one pack for $1.00 and then another pack for $0.50 more.How mu
Umnica [9.8K]

Answer:

$2.50

Step-by-step explanation:

Shelley buys one pack of gum for $1

Price of gum: $1

Total amount of money spent: $1.00

Shelley buys another pack of gum for $0.50 more

1 + 0.50 = 1.5

Price of gum: $1.50

Total amount of money spent: $2.50

3 0
2 years ago
Calculate the total area of the shaded region.
LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill

\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}

7 0
2 years ago
1. Solve the equations below.
Sergio039 [100]

Step-by-step explanation:

A) 3x + 8 = 23

3x = 23 - 8

3x = 15

x = 15 / 3 = 5

B) 5x + 1 = 3x + 17

5x - 3x = 17 - 1

2x = 16

x = 16 /2 = 8

C) 4 (x+2) = 32

4x + 8 = 32

4x = 32 - 8

4x = 24

x = 24 / 4 = 6

7 0
3 years ago
What is the y-coordinate of point W?<br><br> PLS ASAP
sweet [91]
<h3>Answer:  -1.5</h3>

============================================================

Explanation:

Draw a horizontal line from W to the y axis. You should arrive somewhere between -1 and -2. While this isn't exact, it looks like we should arrive right at the middle of -1 and -2; therefore we should get to -1.5

The y coordinate of W is -1.5

Keep in mind this is based on the assumption we reach the halfway point. Unfortunately, W is not on any horizontal grid lines to be able to determine exactly where W is along the y axis.

8 0
3 years ago
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