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Anestetic [448]
3 years ago
10

PLS HELPPLS PLS PLS ILL GIVE BRAINLY

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
8 0
The answer to this question is c I think
timofeeve [1]3 years ago
3 0
Question 14) D
Question 15) D
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Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

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

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
1. the sum of five times a number and -2, added to seven times the number
emmasim [6.3K]
1. (5x - 2) + 7x = 12x - 2

2. 6(x - 5) > 22
6x - 30 > 22
6x > 52
x > 52/6
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2 years ago
if the ratio of matts age to carlys age is 2/3, in ten years the ratio will be 4/5. how old is matthew?
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Matthew should be 14 yrs old
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What is the median of this list of numbers? 6, 2, 7, 2, 3
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4 0
3 years ago
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