6c.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
Now find g(3).

9514 1404 393

Answer:

  widen

Step-by-step explanation:

The vertical scale factor is 3/4, so the vertical extent is shortened at a given x-value distance from the axis of symmetry. That will give the appearance of making the parabola (slightly) wider.

Answer:

Step-by-step explanation:

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Learn more about cost at https://brainly.com/question/29509552

#SPJ1

Answer:

29

Step-by-step explanation:

(7-5)^2 is 4 and (20-19)^2 is 1

4+1=5

3*5=15

15+14=29

Answer:

29

Step-by-step explanation:

3((7-5)^2+(20-19)^2) + 14

3(4+1)+14

12+3+14

15+14

29

Answer:

The answer for Surface area is 1160in³ to the nearest tenth

Step-by-step explanation:

S.A=S.A of big cone + S.A of small cone

S.A=piR²+piRL + pir² +pirl

S.A=22/7×7²+22/7×7×24 + 22/7×7²+22/7×7×17

S.A=22×7+22×24 + 22×7+22×17

S.A=154+528 + 154+374

S.A=628+528

S.A=1156in²

S.A=1160in³ to the nearest tenth

Answer:θ ≈ 2.57 radians

θ ≈ 0.58 radians

Step-by-step explanation:We can solve this quadratic equation in sin(θ) by factoring:

4sin^2(θ) + 7sin(θ) - 5 = 0

(4sin(θ) - 1)(sin(θ) + 5) = 0

Therefore, either:

4sin(θ) - 1 = 0

sin(θ) = 1/4

or:

sin(θ) + 5 = 0

sin(θ) = -5 (not possible, since sin(θ) is between -1 and 1)

So, we have sin(θ) = 1/4. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse sine function:

θ = arcsin(1/4)

Using a calculator, we find:

θ ≈ 0.2531 or θ ≈ 2.8887

Therefore, in radians, the solutions for θ are approximately:

0.2531 (which is less than 2π)

2.8887 (which is greater than 2π)

So the only answer that satisfies 0 ≤ θ < 2π is:

If tan x=sin x/cos x then, tan(90-A)=1/tan A

tan ( 90-A ) = \(sin(90-A)/cos(90-A)\)

since  sin (90-A) = cos A

and cos (90-A) = sin A

So  \(tan(90-A)=sin(90-A)/cos(90-A)=cosA/sinA\)

cos A/Sin A=cot A

\(cot A=1/tan A\)

Therefore, tan(90-A)=1/tan A

Learn about tan(90-A) at

https://brainly.com/question/4301729

Answer:

Because it is a regular polygon, the sum of all exterior angles is equal to 360 degrees (one revolution). If each side has an exterior angle of 40 degrees, we simply divide 360 by 40 to get 9.

Step-by-step explanation:

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

The graph of the equation and the table is attached below.

Graph:

Graph means the pictorial representation of the given set of data or the equation.

Given,

Here we have the equation

y = -4.

Now, we need to plot the graph for this equation and we have also draw the table for that.

Here we have the equation y = -4. This one can't take any value for the calculation,

Which means it we take any value on the x coordinate, the given equation will result only the value of y as -4.

Which means, if we take x as -2, the value of y is -4.

If we take x as -1, it will also have the value of y as -4.

If we take x as 0, then again we will get the value of y as -4.

Therefore, it will continuous at infinity.

So, the table for this equation is look like the following.

And the graph of the equation is attached below.

To know more about Graph here.

https://brainly.com/question/17267403

#SPJ1

Answer:

\(2 \frac{4}{6} \)

I think this is it?? very sorry if it's incorrect

Answer:

4/3 or 1 1/3

Step-by-step explanation:

2 * 4/6

= 8/6 (You multiply 2 by the numerator, 4)

= 4/3 (Cancel out the common factor in the numerator and denominator, 2)

Mixed number form: 1 1/3

The distribution is bimodal (a), eight men weigh less than 150 lbs (b), and the percentage of males that weigh more than 230 lbs is 3.17%.

A: Distribution: The distribution can be classified as bimodal, which means there are two peaks in the graph.

B. The number of males that weigh less than 150 lbs can be determined as follows:

110 - 120 lbs = 2 males

130 -140 lbs = 2 males

140 - 150 lbs = 4 males

2 + 2 + 4 = 8 males

C. The percentage of males that weigh more than 230 lbs can be calculated as follows:

63 = 100%

2   = x

x= 2 x 100 / 63

x = 200 / 63 = 3.17%

Learn more about histograms in https://brainly.com/question/16819077

#SPJ1

Answer:

\((a)\ T_{a,b} =(x +a,y+b)\)

\((b)\ F_{y\ axis} = (-x,y)\)

\((c)\ F_{x\ axis} = (x,-y)\)

\((d)\ R_{o,90^o} = (-y,x)\)

\((e)\ R_{o,180^o} = (-x,-y)\)

\((f)\ R_{o,270^o} = (y,-x)\)

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

\(T_{a,b} =(x +a,y+b)\)

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

\(F_{y\ axis} = (-x,y)\)

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

\(F_{x\ axis} = (x,-y)\)

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

\(R_{o,90^o} = (-y,x)\)

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

\(R_{o,180^o} = (-x,-y)\)

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

\(R_{o,270^o} = (y,-x)\)

In ​Ms. Berkeley's ​classroom 18 students play Sudoku and 25 students play chess.

In this case we have to use the fractions to multiply the total of the students and find what is asked, first we have to find how much students play chess,

In class room 3/5 of the students play Sudoku and 5/6 also play chess.

there are 30 students in her ​class

we have to find how many play Sudoku and ​chess.

3/5 of the students play Sudoku. there are 30 students in her ​class.

No of students play sudoku = (3/5)*30

= 3*6 = 18 Stuidents

5/6 also play chess. there are 30 students in her ​class.

No of students ply chess= (5/6)*30 = 5*5 = 25 students

thus, 18 students play Sudoku and 25 students play chess.

Learn more about

Learn more about fractions here: https://brainly.com/question/10354322

#SPJ1

The simplified equation is (π2 / 2) * ∫[0, ∞] (x(2x-1) * e(-x) / (Γ(x) * Γ(1 - x)) DX

a. To prove B(x+1, y) = x * B(x, y), proceed as follows.

Start with B(x+1, y) = [(x+1)! * y!] / ((x+y+2)!) (using the definition of B(x, y)).

Rewrite 1 / (x+1) to (x+y+2 - (y+1)) / (x+y+2) .

Using the formula above, express B(x+1, y) as (x+y+2) / (x+y+2) * [(x+1)! to rewrite. * y!] / ((x+y+2)!) - (y+1) / (x+y+2) * [(x+1)! * y!] / ((x+y+2) !).

Simplify the formula to (x+y+2) / (x+y+2) * B(x, y) - (y+1) / (x+y+2) * B(x, y) increase.

Simplify further to B(x, y) - (y+1) / (x+y+2) * B(x, y).

Note that B(x, y) can be expressed as (x / (x+y+1)) * B(x, y) .

Substitute this formula in the previous step to get,

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y).

x * B(x, y) - (y+1) / (x+y+2) * x * B(x, y)

= x * B(x, y)

You have now proved B(x+1, y) = x * B(x, y).

b. We wish to prove the identity Γ(2x) = ((2sin(πx))) * Γ(x) * Γ(x + 1/2).

Integrate ∫[0, ∞] (x(2x-1) * Start with dx.

Evaluating this integral using the permutation u = du is obtained.

Simplify the integral to (1/2) * Γ(x + 1/2).

Express sin(πx) as π / (Γ(x) * Γ(1 - x)).

Let the original integral be π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) * e(-x) * (1/sin( πx) Rewrite.)) DX.

Substituting the equations,

The integral, π * (2(2x-1) / π) * ∫[0, ∞] (x(2x-1) *

We get * (π / (Γ(x) * Γ(1 - x)))) dx.

For more questions on simplified equation:

https://brainly.com/question/33148611

#SPJ8

Answer:

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Step-by-step explanation:

We can use the trigonometric identity:

cos 2a = 1 - 2 sin^2 a

to rewrite 1 + 2cos a as:

1 + 2cos a = 1 + 2(1 - sin^2 a/2)

= 1 + 2 - 2(sin^2 a/2)

= 3 - 2(sin^2 a/2)

Now, using another trigonometric identity:

sin a = 2 sin(a/2) cos(a/2)

we can rewrite sin^2 a/2 as:

sin^2 a/2 = (1 - cos a)/2

Substituting this into the expression for 1 + 2cos a, we get:

1 + 2cos a = 3 - 2((1 - cos a)/2)

= 3 - (1 - cos a)

= 2 + cos a

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Answer:

b

Step-by-step explanation:

7 left     4 right

7 left   =   4 +3 right =7

Answer:b

Step-by-step explanation:

7 left     4 right

7 left   =   4 +3 right =7    

Answer:

Hope this helped C:

Step-by-step explanation:

a) 149

b) 112

c) 18

d) -8   you subtract -14 from -22

e) -3.3   you subtract -2.8 from -6.1

f) -0.16  

convert the fractions to decimals and then add 0.3(3/10) and -0.46(7/15)

Answer:

-43

Step-by-step explanation:

x=7

Answer:

The Answer Is 49.

Step-by-step explanation:

2x = 14. 2x  means 2 x ??? = 14. but you can find what "X" is you can find it out by divideing, 2 divided by 14 is 7 so X = 7. To find 6 - 7x you know that is means 6 - (7 x 7). 7 x 7 is 49, 6 - 49 is -42. You answer is -43 and X means 7.

Answer:

Step-by-step explanation:

What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20​

Given:

The high temperature of today will be 85 degrees.

It indicates that the temperature is less than 85 degrees but not including 85 degrees.

Let x denote the temperature,

Answer:

Answer: 1.+900

2. -24

3.  -5

4. +10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Add 53 and 35 because 53 and x are alt exterior angles. That means that they are equal/ congruent. You can translate the angle where the 35 is down to x because they are equal.

So:

53+35= 88 degrees

x=88

Step-by-step explanation:

10 seconds=1cm

2 seconds=x cm

cross multiply

10 x=2

divide by 10

x=2/10

x=1/5

Answer:

0.2 in 2 seconds

Step-by-step explanation:

hope this helped!

Answer: 293 páginas

Step-by-step explanation:

Laney = 203 + 100

Laney = 303

Gavin = 303 - 10

Gavin leyó 293 páginas

The average rate of change of the function over the interval is 4

From the question, we have the following parameters that can be used in our computation:

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

Read more about average rate of change at

https://brainly.com/question/17131025

#SPJ1