what is the sign of f on the interval 0 < x < 2

Answer:

Step-by-step explanation:

An exponential function has a standard form

[tex]y=a(b)^x[/tex] where a is the initial value, b is the rate of growth or decay, and x and y are found in coordinates from the table. We need to solve for b, the rate of change (growth or decay). We will use the first 2 coordinates in the table, namely (1, 6) and (2, 4) to solve for b. We will use a system of equations...2 equations for 2 unknowns. The first equation is found by plugging in a 6 for y and a 1 for x to get:

[tex]6=a(b)^1[/tex] and, solved for a:

[tex]a=\frac{6}{b}[/tex].

In the second equation, we will plug in a 4 for y, a 2 for x and the value for a we just found:

[tex]4=\frac{6}{b}(b)^2[/tex] and, simplified a bit:

[tex]4=\frac{6b^2}{b}[/tex] which finally simplifies to

4 = 6b and

[tex]b=\frac{2}{3}[/tex]. That's the rate of change we are asked to find. We could continue to find the whole equation. Plug in 2/3 for b to solve for a:

[tex]a=\frac{6}{\frac{2}{3} }[/tex] and

[tex]a=\frac{6}{1}*\frac{3}{2}=\frac{18}{2}=9[/tex] and the exponential equation is

[tex]y=9(\frac{2}{3})^x[/tex] that means that we started with 9 of something and it is dying/decaying/depreciating at a rate of 33%

Answer:

5.7 litres

Step-by-step explanation:

The salt is not a liquid so you do not need to add it in.

4.5 litres + 1.2 litres = 5.7 litres

Answer:

actually, a and b are correct, as any line is also parallel to itself (a).

b is probably the truly wanted answer, as this line is on a chart visible as a second line and parallel to the first one.

Step-by-step explanation:

the factor of x is also the slope of the line.

for a line to be parallel to another, both need to have the same slope.

the constant number in the equation is the offset of the line from point (0,0) in y direction.

so, b is a parallel line 4 units above the first line.

Answer: $12 for each flash drive

Step-by-step explanation: $30.50-$6.50=24

24/2=12

Meaning that are $12 each

Answer:

a = 50°, b = 130°, c = 20°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles in the right triangle

a + 40° + 90° = 180°

a + 130° = 180° ( subtract 130° from both sides )

a = 50°

a and b are adjacent angles and sum to 180° , so

a + b = 180°

50° + b = 180° ( subtract 50° from both sides )

b = 130°

Then sum the angles in the top triangle, that is

30° + 130° + c = 180°

160° + c = 180° ( subtract 160° from both sides )

c = 20°

Answer:

$8000

Step-by-step explanation:

profit = selling price - Cost Price

P = 35000-27500

P= 8000

Answer:

my answer is in this picture.

Answer:

Option B.

Step-by-step explanation:

A function is a relationship that maps elements from a set (the domain, set of the inputs) into elements from another set (the range, set of the outputs), such that each element from the domain can be mapped into only one element from the range.

Remember that in the 2d case, the horizontal axis represents the values from the domain while the vertical axis represents the values from the range.

So, one criterion to check if a graph belongs to a function or not, is to see if there is a vertical line that intersects the graph at two different points, (because that would mean that a single input value has two different output values) if there is no vertical line that does that, then the graph shows a function. (this is called the vertical line test)

Now that we know all this, let's look at the graph for a second and see that yea, the graph passes the vertical line test, so the graph represents a function.

Then the correct option is B

Answer:

A square

Step-by-step explanation:

Definition of a rhoumbus: Shape that 4 sides that are all equal

Definition of a rectangle: 4 Right Angles

Definition of a square: All sides and angles are equal.

So, the square has 4 right angles, and has 4 equal sides

Answer:

Step-by-step explanation:

The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.

Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.

Answer: 3, 5, and 11

Step-by-step explanation: a prime number is a number greater than 1 that is not a product of two smaller natural numbers.

Answer:The system 150x+400y=1950 and x = y+2 could be used to determine the number of small boxes and large boxes ordered where x represents the number of small boxes and y represent the number of large boxes.

Step-by-step explanation:

Answer:

Let s = the number of small boxes purchased

Let l = the number of large boxes purchased

100s + 350l= 2400

s+l= 9

Answer:

option 1

Step-by-step explanation:

the polygon is made up of three squares

the area of the polygon is the sum of the area of the three squares

Area of a square = length²

a²

Area of the polygon = a² + a² + a² = 3a²

3a²  = 27

a² = 27/3

a² = 9

a = 3

Since a is parallel to b , taking CE as transversal

m< CED = m<3 = 58° (alternate interior angles)

Answer:

Step-by-step explanation:

Since line A is parallel to line B, then angle 1 and angle D are alternate interior and are congruent. That means that angle 1 is 60. Angle 2 can be found by  subtracting 60 + 58 from 180:

180 - 60 - 58 = 62. Now to find angle 3, we just subtract angle 1 and angle 2 from 180:

180 - 60 - 62 = 58 (which works out perfectly because angle 3 and angle E are congruent as we just found out!)

Answer:

279 miles

Step-by-step explanation:

First, subtract the base fee from his total charge:

248.52 - 16.95

= 231.57

Divide this by 0.83 to find how many miles he drove:

231.57/0.83

= 279

So, he drove 279 miles

Answer:

the first answer is correct answer

Answer:

Step-by-step explanation:

Answer:

47.2

Step-by-step explanation:

Answer:

A solution to a system of equations is the point(s) where they intersect.  Find the ordered pairs where they intersect and you have your answers.

Step-by-step explanation:

That would be central angels !

Please mark me, I'd like to get to virtuoso.

Answer:

12

Step-by-step explanation:

Probability = Expected outcome/Total outcome

GIven

Total outcome = 28marbles

probability of randomly drawing a  blue marble = 3/7

Substitute

3/7 = number of blue marbles/28

Cross multiply

7N = 3* 28

N = 3*4

N= 12

Hence there 12 blue marbles in the bag

Answer:uttt

Step-by-step explanation:

Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

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Answer:

cubes

Step-by-step explanation:

because when you find area you would say 2 meters "squared" but when you find volume you woukd say 2 meters "cubed"

Answer:

The area of this entire shape is 156 m.

Step-by-step explanation:

So to solve for the area of this shape you need to split it up into smaller shapes.

Let's split it into a square and a triangle, find the area of both, then add it together to get the total area.

To find area you take width times length, so the area of the square would be 10 multiplied by 12. That's 120.

Square area = 120

Now, for the triangle. We know the entire length of one side is 16 and inside that the side length of the square is 10, so that means the side length of the triangle is 16 - 10 or 6. The height of the triangle is 12 m.

12 multiplied by 6 is 72.

Now, because it's a triangle we take this value and divide by 2.

72 divided by 2 is 36.

Triangle Area = 36

Now we add square area and triangle area together :

120 + 36 = 156

The area of this entire shape is 156 m.

(-1, 1) on graph so g(-1 )= 1 True (4, 2) not on graph so g(4)= 2 Not true. Answer: g(0) =0 g(1) = 1 g(-1) =  ...

g

Using the information given by the graph of the function, the true statements about the function include ;

The function g(X) is used to obtain the corresponding value of y at a given x-value.

From the graph :

Therefore, no other (x, y) coordinate pair is similar on the graph of the function attached.

Learn more : https://brainly.com/question/20790351

Answer:

B)  [tex]\sqrt{115}[/tex]

Step-by-step explanation:

Pythagoras is [tex]a^{2} +b^{2} =c^{2} \\[/tex]

Where C is the longest side. You have a and c so

[tex]14^{2}-9^{2} =x^{2} \\196-81=x^{2} \\\sqrt{115} =x[/tex]

24 out of 60 is 0.4 which is 40%, so to find out how many he would make in 25 throws you multiply 25 by 0.4 then you would get 10 out of 25.

Answer:

The correct one is the one on the left.

(the arrow pointing to the left)