Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.

Answer:

x-intercept(s):  

4,0

y-intercept(s):  

0,8

Step-by-step explanation:

[tex]\dfrac{0.8\times 0.04}{0.5}\\\\\\=\dfrac{\tfrac 8{10} \times \tfrac 4{100}}{\tfrac 5{10}}\\\\\\=\dfrac{\tfrac 45 \times \tfrac 1{25}}{\tfrac 12}\\\\\\= \dfrac 4{125} \times 2\\\\\\=\dfrac 8{125}[/tex]

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\boxed{\mathbf {Your\ equation} :\mathsf{\dfrac{5}{12}\times\boxed{} = 1}}[/tex]

[tex]\large\textbf{We don't know the unknown number yet so we will}\\\large\textbf{label it as \boxed{f}}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{5}{12}\times f = 1}}[/tex]

[tex]\large\boxed{\rightarrow\mathsf{\dfrac{5}{12}(f)= 1}}[/tex]

[tex]\large\textbf{MULTIPLY by }\mathbf{\dfrac{12}{5}}\large\textbf{ to BOTH SIDES}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{12}{5}\times\dfrac{5}{12}f = \dfrac{12}{5}\times1}}[/tex]

[tex]\large\textbf{CANCEL out: }\mathbf{\dfrac{12}{5}\times\dfrac{5}{12}}\large\textbf{ because it gives you 1.}[/tex]

[tex]\large\textbf{KEEP: }\mathbf{\dfrac{12}{5}\times1}\large\textbf{ because it helps solve for the f-value.}[/tex]

[tex]\large\boxed{\mathbf{NEW \ EQUATION: }\mathsf{f = 1\times \dfrac{12}{5}}}[/tex]

[tex]\large\textbf{SIMPLIFY IT!}[/tex]

[tex]\huge\boxed{\textbf{Therefore, your answer: \boxed{\mathsf{f = \dfrac{12}{5}}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The parking lot is located along the front and one side of the school

building.

Reasons:

The given dimensions in the compound are;

Length of the school and the old parking lot = 300 + 75

Width of the school and the old parking lot = 165 + 75

Length of the school, the old and new parking lot = 300 + 75 + x

Width of the school and the old and new parking lot = 165 + 75 + x

Area of the new parking lot the school wants = Double the old parking lot

In terms of areas, we have;

New compound - School = 2 × (old compound - school)

Which gives;

(300 + 75 + x) × (165 + 75 + x) - 300 × 165 = 2 × ((300 + 75) × (165 + 75) - 300 × 165)

2 × (375 × 240 - 49,500) = (375 + x) × (240 + x) - 49,500

Simplifying gives;

81,000 = x² + 615·x + 40,500

x² + 615·x + 40,500 - 81,000 = 0

x² + 615·x - 40,500 = 0

Factorizing with a graphing calculator gives;

(x - 60)·(x + 675) = 0

Therefore;

x = 60 or x = -675

Given that x is a natural number, we have, the correct value is; x = 60;

The distance with which the lot should be expanded, x = 60 feet.

Learn more about writing equations here:

https://brainly.com/question/20475360

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From the graph, the solutions of the function represents the instants in which the ball hits the ground.

In the graph, we have that:

The solutions are x = 1 and x = 5, which represents the instants in which the ball is in the ground.

For a similar problem, in which we find the times in which an object hits the ground, you can check https://brainly.com/question/16840613

If any doubt leave a comment

According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:

[tex]|w - 10| \leq 2[/tex]

The absolute value function measures the distance of a point to the origin, and is defined by:

The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:

[tex]|w - 10| \leq 2[/tex]

To learn more about absolute value inequalities, you can take a look at https://brainly.com/question/24005819

Answer:

981.75

Step-by-step explanation:

The area of a circle is πr^2, but this a semi circle, so you need to half it.

Answer: 6.25

Step-by-step explanation:

Answer: 7.5

Step-by-step explanation: hope this help :)

Answer:

7.5

Step-by-step explanation:

hope this help you guys to answer the question

Answer:

3 hours or more

Step-by-step explanation:

why because of the games and entertainment

Answer:

8762

Step-by-step explanation:

Exponential decay equation

Initial = 18000

Rate 6% = 0.06

Time = 12

Answer:

$8567

Step-by-step explanation:

In the image the answer is given.

Formula of depreciation is used in the answer.

Answer: Option D

Step-by-step explanation:

Soup : 15/5 is 3 x 7 is 21

Peanut: 35/7 is 5 x 5 is 25

Answer:

X=90

Step-by-step explanation:

k=3/5

X=3/5×150

X=90

Answer:

30 minutes

Step-by-step explanation:

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

b and c are the answers i think....

Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

Answer:

(-2,1)

Step-by-step explanation:

that is where the two graphs intersect

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

6y = 6(-5x/6 + 2)

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

Answer:

d

Step-by-step explanation:

Answer:

52$

Step-by-step explanation:

104 / 4 = 26$ per lesson

2 piano lessons = 26 x 2 = 52$

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.

Answer:please correct me if I’m wrong but I believe Part A for the slopes are…

1.3/1 or 3

2.-3

3.9/5

4.4/3

Step-by-step explanation:

It’s going up 3 and “running” 1 and it’s positive since the line is going up.

Y2-y1. -16-2

————= ————=-18/6=-3

X2-x1. 8-2

You’re just finding the slope

Solve for it. If further explanation is needed please tell me.

A.

1. 9/5

2. -1/5

3. ? (no question)

4. 4 or 4/1

B.

5. y = 1x + 4

6. -2x + 3

7. -1/5x + 2

8. -4x + 2

I'm not sure about 5-8 the wording of the questions are confusing.

In mathematics, a constant rate of change is a rate of change that stays the same and does not change.