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sergejj [24]
3 years ago
12

G(x)=3x-2;find g(7)​

Mathematics
2 answers:
elena-s [515]3 years ago
6 0
G(x)=3x-2 g(7)=19
Don’t mind the words that I’m typing
mixas84 [53]3 years ago
3 0
G(7)=3(7)-2 || g(7)=19
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Madison wants to buy a new iPhone. The regular price is $989. Apple is offering a 15% discount and a sales tax of 7% is added af
Rzqust [24]

Answer: $899.50

Step-by-step explanation:

6 0
2 years ago
The region bounded by y=x^2+1, y=x, x=-1, x=2 with square cross sections perpendicular to the x-axis.
VLD [36.1K]

Answer:

The bounded area is 5 + 5/6 square units. (or 35/6 square units)

Step-by-step explanation:

Suppose we want to find the area bounded by two functions f(x) and g(x) in a given interval (x1, x2)

Such that f(x) > g(x) in the given interval.

This area then can be calculated as the integral between x1 and x2 for f(x) - g(x).

We want to find the area bounded by:

f(x) = y = x^2 + 1

g(x) = y = x

x = -1

x = 2

To find this area, we need to f(x) - g(x) between x = -1 and x = 2

This is:

\int\limits^2_{-1} {(f(x) - g(x))} \, dx

\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx

We know that:

\int\limits^{}_{} {x} \, dx = \frac{x^2}{2}

\int\limits^{}_{} {1} \, dx = x

\int\limits^{}_{} {x^2} \, dx = \frac{x^3}{3}

Then our integral is:

\int\limits^2_{-1} {(x^2 + 1 - x)} \, dx = (\frac{2^3}{2}  + 2 - \frac{2^2}{2}) - (\frac{(-1)^3}{3}  + (-1) - \frac{(-1)^2}{2}  )

The right side is equal to:

(4 + 2 - 2) - ( -1/3 - 1 - 1/2) = 4 + 1/3 + 1 + 1/2 = 5 + 2/6 + 3/6 = 5 + 5/6

The bounded area is 5 + 5/6 square units.

3 0
2 years ago
The angle 01 is located in Quadrant III, and cos(01) = -30/13
larisa [96]

Answer:

<h2>sin(01) = -32.70/13</h2>

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

hyp^{2}=opp^{2}+adj^{2}   \\opp^{2}=  hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

01 = cos^{-1}- 30/13

8 0
3 years ago
Write the equation of a line parallel to the line y=2x that passes through the given points. a. (0,4) b.(-2,-1) c.(2,0)
mart [117]

Answer:

ju mmmmmmjjum,,,,i,,,,, enjoy

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
it took jake 28 minutes to run 5km last months. this month he ran 5km in 21 minutes. by what percentage had jake improve his run
mars1129 [50]

Answer:

25%

Step-by-step explanation:

28-21=7

7/28=×/100

7×100=700

700÷28=25

6 0
3 years ago
Read 2 more answers
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