MATHEMATICS HIGH SCHOOL

Y = x² + x + 8 find 1st and 2nd derivitive ​

Answers

Answer 1
Answer:

Answer:

y' = 2x + 1

y'' = 2

Step-by-step explanation:

y = x² + x + 8

y' = 2x + 1

y'' = 2

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If 10 men can complete a piece of work in 30 days how many men are requiredto complete the same job in 25 days?

Answers

We must assume that all workmen work at the same rate, and keep it up forever.

More men ==> fewer days

so the proportion is:    30/25 = x/10

Cross-multiply the proportion:

300 = 25 x

Divide each side by 25 :

x = 300/25 = 12 men

Which of the following is one solution to the expression (ax + b)(cx - d) = 0 ?A. −b

B. d

C. −b/a

D. −d/c

Answers

The answer to your question is C. -b/a

In a recent year One United States dollar was equal to 82 Japanese yen How many Japanese yen are equal to $100 $1,000 $10,000

Answers

$100 = 11991.55
$1000 = 119915.50
$10000 = 1199155.00

A man wishes to cover his floor with tiles, each one measuring 3/4 inch by 2 inches. If his room is a rectangle, measuring 12 feet by 18
feet, how many such tiles will he need?

A) 144, B) 1152, C) 1728, D) 9216, E) 20736

Plz help me with this problem.. :-(

Answers

The number of tiles required to completely cover the floor is A) 144.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

Given, His room is a rectangle, measuring 12 feet by 18 feet,

Therefore, The area of the room is

= (12×18) sq feet.

= 216 sq feet.

Also given one measures 3/4 inches by 2 inches.

Therefore the area of one tile is,

= [3/4×(2)] sq inches.

= 3/2 sq inches.

So, The number of tiles requires is the area of the room divided by the area of one tile which is,

= (216/(3/2)).

= 216×(2/3).

= 144 tiles.

learn more about rectangles here :

brainly.com/question/29123947

#SPJ2
Area floor = 18 * 12 = 216 feet^2

Area tile = 2 * 3/4 = 6/4 = 3/2 = 1.5 feet^2


216/1.5 = 144\n So the answer is A).

What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle? A. exterior angle
B. adjacent interior angle
C. remote interior angle
D. alternate interior angle

Answers

Answer: C. remote interior angle

Step-by-step explanation:

  • The angle between a side of a shape and the line extended from the next side is known as exterior angle.
  • The angles that do not share a vertex (of a triangle) with the exterior angle is known as remote interior angles .
  • The measure of the exterior angle and the sum of the two remote interior angles are equal.
  • A pair of two interior angles that share a common side are  known as adjacent interior angles.
  • The pair of angles that are formed on opposite sides of the transversal and inside the two lines are known as alternate interior angles.

Hence, the  name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is remote interior angle

So , correct option is C. remote interior angle.
The name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle is the remote interior angle. Getting the values of each sides help you come up with the remote interior and exterior angles.

Any line with no slope is parallel to the x-axis y-axis line y = x If the point (a,3) lies on the graph of the equation 5x + y = 8, then a= 1 -1 -7

Answers

Any line with no slope is parallel to the

THE ANSWER IS x-axis

Any line parallel to the x-axis has zero slope since there is no rise in the coordinates. The slope is equal to rise over run which means if there is no rise, the slope is zero.


If the point (a,3) lies on the graph of the equation 5x + y = 8, then

THE ANSWER IS a = 1

Simply substitute 3 to y, and solve for x:
5x + 3 = 8
5x = 8 - 3
5x = 5
x = 1
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