18
Select the correct answer.
Exponential function fis represented by the table.
X
f(x)
=
-2
-46
OA
O B.
OC.
O D.
-1
-22
0
-10
1
-4
Function g is represented by the equation.
g(x)
- 18(3)² + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
2
-1
ہے
Only function fis increasing, and only function fis negative.
Only function fis increasing, but both functions are negative.
Both functions are increasing, but function g increases at a faster average rate.
Both functions are increasing, but function fincreases at a faster average rate.

The angular speed of the wheel is calculated as 52.36 radians per second

The revolution of this wheel is said to be at 500 in a minute

This is also called the frequency of this wheel.

This can be written as

500rev in 60 seconds. 500/60 = 8.333 per second

Angular speed is given as

pi = 22/7

f = 8.333

Formular for angular speed = ω = 2*pi*f

w = 2 * 22/7 * 8.333

= 52.36 radians per second

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By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

Herein we must apply a rigid transformation into a given point to determine an image. Rigid transformations are transformations applied on a geometric locus such that Euclidean distance is conserved. Dilations are a kind of rigid transformations such that:

(x, y) → (k · x, k · y), for k > 0

If we know that Q(x, y) = (0, 2) and k = 0.5, then the coordinates of Q' are:

Q'(x, y) = (0.5 · 0, 0.5 · 2)

Q'(x, y) = (0, 1)

By applying the definitions of rigid transformation ((x, y) → (0.5 · x, 0.5 · y)) and dilation, we conclude that the coordinates of Q'(x, y) are (0.1).

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Answer: Q' = (0,1)

Step-by-step explanation: just did it on edge

The value of x from the given equation is ±√10

Linear equations are equation that has a leading degree of 1. Given the equation below:

Given the equation below;

x² = 10

Take the square root of both sides

√x² = ±√10

x = ±√10

Hence the value of x from the given equation is ±√10

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Answer:

D .2

Step-by-step explanation:

3-(-9)

5-(-1)

=3+9

5+1

12

6

= 2

Answer:

A quadratic function

Step-by-step explanation:

Answer:

f(x) = 2|x – 2|  + 6

Step-by-step explanation:

On edg 2022

Answer:

m = 2/3

Step-by-step explanation:

Rewrite in slope-intercept form.

y = -3/2x + 7/2

Using the slope-intercept form, the slope is −3/2.

m = -3/2

The equation of a perpendicular line to y=−3/2x + 7/2 must have a slope that is the negative reciprocal of the original slope.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

• First rewrite the original equation in the form y = mx + c ,

where m = gradient:

[tex]3x + 2y = 7[/tex]

⇒ [tex]2y = -3x + 7[/tex]

⇒ [tex]y = \frac{-3}{2}x + \frac{7}{2}[/tex]

• From this equation, we can see that the gradient, m = [tex]\frac{-3}{2}[/tex] .

The gradient of a line perpendicular to another line with gradient m,  = [tex]\frac{-1}{m}[/tex].

∴ gradient of perpendicular = -1  ÷   [tex]\frac{-3}{2}[/tex]

                                              = [tex]\frac{2}{3}[/tex]    

Answer:

the x-values of the relation are the y-values of the inverse.

Answer:

Your answer is $16.40

Answer:

B

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

The inequality is x + 5274 ≥ 10,000.

The total number of steps I have to take to reach my goal is 4726.

Here are inequality signs and what they mean:

Number of steps I have to take + number of steps I have taken ≥Total steps

X + 5274 + x ≥ 10,000

x ≥ 10,000 - 5274

x ≥ 4726

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Using proportions, it is found that both can be right, as the amounts found from each operation are the same.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering you have 73 cards, and your cousin says that you have 7 less than half the cards he has, his amount is found as follows:

0.5x - 7 = 73

0.5x = 80

x = 160.

Then, one-fourth of his amount is:

(1/4) x 160 = 40.

33 more than this is:

33 + 40 = 73.

Both operations have results (73,160), hence the both can be right.

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Answer:

$420

Step-by-step explanation:

100.80/x = 24/100

with x being the regular price

x = (100.8*100)/24

x = 420

Answer:

AED 3

Step-by-step explanation:

Let tacos: t

Let burritos: b

1) Set up equations.

2t + 3b = 18

4t + 2b = 20

2) Solve the system of equations using substitution.

2t = 18 - 3b

t = 18/2 - 3b/2

t = 9 - 3b/2

Substitute this into the second equation and simplify.

4(9 - 3b/2) + 2b = 20

36 - 12b/2 + 2b = 20

36 - 6b + 2b = 20

36 - 4b = 20

-4b = 20 - 36

-4b = -16

b = -16/-4

b = 4

3) Substitute the found answer in any one of the two equations.

2t + 3(4) = 18

2t + 12 = 18

2t = 18 - 12

2t = 6

t = 6/2

t = 3

Therefore, a soft taco costs AED 3.

The computation shows that the number of flowers will be 10.

The information illustrates the flowers that were brought for the nursery.

Based on the information given, the total number of flowers bought for the nursery will be:

= 5 freesias + 3 rosebrushes + 2 calls lilies

= 10

In conclusion, the total number of flowers is 10.

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The value of the given logarithm using calculator is 2.031

Logarithm are inverse of exponential functions. Given the following logarithm expression;

log(7)52

This can also be expressed as:

log(7)52 = log52/log7

log(7)52 = 0.5399/0.9804

log(7)52  = 2.031

Hence the value of the given logarithm using calculator is 2.031

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Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure.

A rigid transformation such as reflection, rotation and translation preserve the shape and size, hence the pre-image and image have the same corresponding angle and side measures.

A non rigid transformation such as dilation preserve the shape and not size, hence the pre-image and image have the same corresponding angle measures.

Triangle JKL is transformed to create triangle J'K'L'. It can be a rigid or a non rigid transformation depending on whether the corresponding side lengths have the same measures.

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Answer:

C

Step-by-step explanation:

2023

The confidence interval for the true mean number of reproductions per hour is (7.5,7.7)

Given mean of 7.6 , standard deviation of 2.2, n=707 and 90% confidence level.

We have to find the confidence interval for the true mean number of reproductions per hour for the bacteria.

α=0.90

μ=7.6

σ=2.2

m=707

α/2=0.45

We have to calculate z value for the p value of 0.45 which is z=1.64.

Margin of error=z*μ/[tex]\sqrt{n}[/tex]

=1.64*2.2/[tex]\sqrt{707}[/tex]

=0.13

Lower level=mean -m

=7.6-0.13

=7.47

after rounding upto 1 decimal

=7.5

Upper level= mean +m

=7.6+0.13

=7.73

after rounding upto 1 decimal

=7.7

Hence the confidence interval is (7.5,7.7) for the true mean number of reproductions per hour.

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Answer:

Step-by-step explanation:

f(2x) means that we have to substitute x with 2x

So, the answer is

2x + 3

Step-by-step explanation:

The correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequalities are:-

The inequalities will be solved as:-

i ) 3x - 91 > -87

3x > -87 + 91

3x > 4

x > ( 4 / 3 )

ii) 17x-16>18

17x > 18 + 16

17x > 34

x > 34 /17

x > 2

Therefore the correct answers are option an x>2 for inequality 17x-16>18 and option b x>(4/3) for an inequality 3x-91>-87.

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On the number line after 10 moves frog is at the integer -96.

Given that, a frog starts at 0 on a number line.

It jumps 100 units to the right then jumps 200 units to the left=+100-200=-100 (2 moves).

It then jumps 199 units to the right followed by 198 units to the left =-100+199-198=-99 (2 moves).

It then jumps 197 units to the right followed by 196 units to the left =-99+197-196=-98 (2 moves).

It then jumps 195 units to the right followed by 194 units to the left =-98+195-194=-97 (2 moves).

It then jumps 193 units to the right followed by 192 units to the left =-97+193-192=-96 (2 moves).

Hence, on the number line after 10 moves frog is at the integer -96.

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The equation has no solutions when m = 0, and when m ≠ 0, the equation has only one solution.

Here we have the equation:

m*x = 5

If we solve for x, we get:

x = 5/m

So, as long as m is different than zero, we will have one solution.

We can't have m = 0 because we can't divide by zero.

Then:

m > 0 or m < 0.

We have no solutions when m = 0, the equation becomes:

0*x = 5

0 = 5

This equation has no solution

And we never can have infinite solutions.

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The relative frequency for the range 16 - 20 is 0.27.

The frequency of a data set refers to the number of times a data or an event is occurring.

From the given information:

Range         Number of values

1 - 5                       3

6 - 10                     1

11 - 15                    4

16 - 20                  5

21 - 25                   2

Total                     15          

Relative Frequency = Subgroup frequency/ Total frequency

Relative Frequency for the range 16 - 20:

= 4/15

= 0.27

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Answer:

.27

Step-by-step explanation:

Answer: 17 players

Step-by-step explanation: 1780.50-1151.50=629, 629/37 = 17

The number of players the team can bring to the tournament is 17.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

Budget = $1780.50

Fixed cost (bus rent) = $1151.50

Variable cost = $37 per player.

For n number of players.

Total cost = 1151.50 + 37n

Total cost ≤ total budget

1151.50 + 37n ≤ $1780.50

37n ≤ 629

n ≤ 17

Hence "The number of players the team can bring to the tournament is 17".

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Answer:

[tex] \beta = 28.610[/tex]

Step-by-step explanation:

in this case we have a right angled triangle, whenever you see this triangle think of the TRIG RATIOS * sin, cos & tan* but if it was another triangle besides right angled triangle you use SINE RULE OR COSINE RULE

SOLUTION

[tex] \tan( \beta ) = \frac{opposite}{adjecent} \\ \tan( \beta ) = \frac{6}{11} \\ \beta = tan(inverse)( \frac{6}{11} ) \\ \beta = 28.61045[/tex]