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White raven [17]
3 years ago
9

Solve the equation below

Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0
Set up the equation:

4(8.75x-2)=97
35x-8 =97
35x =97+8
35x =105
x. =3

The value of x is 3.
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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
Mitchell buys a rug that is 3.8 meters long and 0.9 meters wide. How many square meters does the rug cover? Record your answer b
Bond [772]

Answer:3.42

Step-by-step explanation:to get the answer to a area equation you need to multiply the length by the width.

5 0
3 years ago
What is the equation of the line perpendicular to 2x − 5y = −35 that contains the point (10, 4)?
Gnoma [55]
Perpendicular has slope that multiplies to -1 in other sloope

thsi one

2x-5y=-35
-5y=-2x-35
y=2/5x+7
slope=2/5
2/5 times -5/2=-1
y=-5/2x+b
findn b
(10,4)
(x,y)
4=-5/2(10)+b
4=-25+b
21=b
y=-5/2x+21
2y=-5x+42
5x+2y=42
7 0
3 years ago
Read 2 more answers
Plz help me!!!!!!!!!!
N76 [4]

Answer:

B) irrational

Step-by-step explanation:

<em>It can not be imaginary</em>, because imaginary numbers are √(negative number).

<em>It can not be rational</em>, because the cube root of 11 can not be displayed as a repeating or ending number (it's 2.22398009... by the way).

The only option is irrational.

5 0
3 years ago
Read 2 more answers
What's the price of something that's $69.80 but has a 60% discount ​
zhuklara [117]

Answer:

price = $116.3

Step-by-step explanation:

x*60%= 69.80

x= 69.80/0.6

x= $116.33 (original price)

7 0
3 years ago
Read 2 more answers
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