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The answer to this question is

x=15/8

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

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

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

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

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=15/8

1/2x+3/2(x+1)-1/4=5 (Expand the polynomial)

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

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

4/2x+(3/2–1/4)-(3/2–1/4)=5-(3/2–1/4)

4/2x+0=5-(3/2–1/4) (Express the fractions on the right side of the equation in the common denominator 4)

2x=5-(6/4–1/4)

2x=5-(5/4)

2x=3 3/4

2x/2=(3 3/4)/2

x=15/4(1/2)

x=

15/8 or 1 7/8 as a mixed fraction or 1.875 as a decimal numeral

PROOF

If x=15/8, then the inverse of the equation 1/2x+3/2(x+1)-1/4=5 returns

2x+(6/4–1/4)=5

2(15/8)+(6/4–1/4)=5

15/4+(5/4)=5

(15+5)/4=5

20/4=5 and

5=5 proves the root (zero) x=15/8 of the statement 1/2x+3/2(x+1)-1/4=5

C.H.

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

1/2 (1/x+3/ (x+1) =5+1/4

1/x + 3/x+1 =(5+1/4) ×2/1

x+ 1 +3x /x (x+1) = 10+1/2 =21/2

4x+1 = 21/2 [x^2+x]

8x+2= 21x^2+21x

21x^2 +-13 x -2 =0

a =21 b= 13 c= -2

X= [13 + -- (169 -- 4×21× -2)^1/2 ] /2×21

=[13 + - ( 169 + 168 )^1/2] /2×21

Discriminat =169+168=337 >0

Answer:

- 7/4

Step-by-step explanation:

y1 - y2 over x1 - x2 with the points (-3,4) and (1,-3)

-3 - 4 over 1 - (-3) --> -7/ 4

Answer:

-5/3

Step-by-step explanation:

well taking the line that hits a cross, go down how many until it meets up with another perpendicular cross, and since you write it as rise/run, you run down 5 and go over 3, and since its decreasing, it is a negative

Answer:

4:5

Step-by-step explanation:

both sides divide by 7

Answer:

[tex]m\angle ABE=52^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

[tex]m\BAE=28^\circ[/tex]

[tex]m\BCE=58^\circ[/tex]

We also know

[tex]BC\cong CD[/tex]

[tex]AB\cong AD[/tex]

Since triangle BCD is isosceles, it follows that:

[tex]m\angle CBE=m\angle CDE[/tex]

And triangles BCD and DCE are congruent.

Thus:

[tex]m\angle BCE=m\angle DCE=58^\circ[/tex]

And also:

[tex]m\angle BCE=58^\circ+58^\circ=116^\circ[/tex]

Since the sum of internal angles of BCD is 180°

[tex]m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ[/tex]

The sum of angles of triangle CDE is 180°, thus

[tex]m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ[/tex]

Angles CED and BEA are vertical (opposite), thus:

[tex]m\angle BCE=m\angle CED= 90^\circ[/tex]

Finally, since the sum of the angles of triangle ABE is 180°

[tex]m\angle ABE= 180 - 90 - m\angle BAE[/tex]

[tex]m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ[/tex]

[tex]\mathbf{m\angle ABE=52^\circ}[/tex]

Answer:

X < -6

Step-by-step explanation:

Answer:

A.) The function is Nonlinear

Step-by-step explanation:

a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another. A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. Functions are used because of following reasons – a) To improve the readability of code. b) Improves the reusability of the code, same function can be used in any program rather than writing the same code from scratch. c) Debugging of the code would be easier if you use functions, as errors are easy to be traced. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Material nonlinearity involves the nonlinear behavior of a material based on a current deformation, deformation history, rate of deformation, temperature, pressure, and so on. Examples of nonlinear material models are large strain (visco) elasto-plasticity and hyperelasticity (rubber and plastic materials). also nonlinear. adjective. If you describe something as non-linear, you mean that it does not progress or develop smoothly from one stage to the next in a logical way. Instead, it makes sudden changes, or seems to develop in different directions at the same time.

Example: Solve the linear equation 3x+9 = 2x + 18.

Example: Solve the nonlinear equation x+2y = 1 and x = y.

Answer:

its b

Step-by-step explanation:

hope this helps

Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

Answer:

12.5 tons

Step-by-Step Explanation

There are 2 million bats and they eat 10 tons so 1 million bats would eat 5 tons half of 5 is 2.5 so if there where 2.5 million bats then you would increase the number of insects by half of a half or 2.5 because the number increased by half a million and 1 million bats eat 5 tons. Hope this was helpful :D

Answer:

71

Step-by-step explanation:

i used my calculator :D

Answer:

y=-2x-8

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Every x value has one y-value.

Answer:

yes

Step-by-step explanation:

yes it is because each of the x has a unique y

9 has 9

7 has 4

1 has 2

2 has 6

5 has 0

Answer: 42

Explanation:

Image below

Answer:

What is the answer u want dude

Step-by-step explanation:

Answer:

whats the answer

Step-by-step explanation:

Answer:

... ... = .5

Step-by-step explanation:

I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first

255 / 2 = 112.5

Then find out what 64 + 32 + 16.

64 + 32 + 16 = 112

Add 0.5 to get the same answer from 255 / 2

64 + 32 + 16 + 0.5 = 112.5

She purchased 8 sports drinks

{d=p+3

2.25p+1.25d=21.25

d=p+3

p=d - 3

2.25(d - 3) + 1.25d = 21.25

2.25(d-3) + 1.25d=21.25

2.25 - 6.75 + 1.25d = 21.25

3.5d = 21.25+6.75

d=28/3.5

D=8

Answer:

y = -2/3x + 300

Step-by-step explanation:

Since the line is linear, we can find the equation of the line in y=mx+b form.

First, you have to find the slope using the slope formula.  Pick two points from the graph and plug it into the equation.  It doesn't matter which ones; you will get the right answer regardless.  I picked the points (0, 300) and (450, 0).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]

You now have slope (m).  You have to find the y-intercept (b) next.  The y-intercept is the point where the line crosses the y-axis.  For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.

Since you have m and b, you can plug the values into y=mx+b.

y = mx + b

y = -2/3x + 300

Answer:

1

Step-by-step explanation:

Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

Answer: $20

Step-by-step explanation:

From the question, we are informed that John Smith has a past due balance of $80 on his account and out of the $80 paid, 25% will be given as commission.

Therefore, the total commission received from John's payment will be:

= 25% × $80

= 25/100 × $80

= 0.25 × $80

= $20

The commission is $20

Answer:

neither

Step-by-step explanation:

got it right 2020

Answer:

55°

Step-by-step explanation:

180° - 125° = 55°

so angle 2 is 55 degrees

Answer:

69

Step-by-step explanation:

The numbers increase by 3 more than the previous amount increased by.

6 +3 9 +6 15 +9 24 +12 36 +15 51 +18 69

Answer:

113 ft^2

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

Answer:

u say which but don't even give us options.

Answer:

85/1

Step-by-step explanation:

because both numbers are divisible by 16

Answer:

85

Step-by-step explanation:

1360 and 16 both have 16 in common. So...

1,360 ÷ 16 = 85

16 ÷ 16 =      1

85/1 = 85

The answer is 85.