If f(x) = 2(-3x +6), find f(4).

Answer:91 coins

Step-by-step explanation:You add them all together the numbers which are 58 and 21 and 12.It gives you 91  coins in total.

Hope it helps :)

Answer: a = -4

Step-by-step explanation: Function Composition is when two functions f(x) and g(x) result in another function h(x), such that h(x) = f(g(x)). In other words, put the result of one function into the other one.

In this situation,

h(x) = f(g(x))

which means

h(x) = f(x³+a)

h(x) = [tex]\sqrt{x^{3}+a+2}[/tex]

[tex]\sqrt{x^{3}-2} =\sqrt{x^{3}+a+2}[/tex]

Now, to find a, we separate equal terms:

1) Both are squared, so we can "eliminate" the square;

2) x³ = x³;

3) [tex]-2=a+2[/tex]

[tex]a=-4[/tex]

For function composition h(x) = f(g(x)), the value of a is -4.

Answer:-4 or D

Step-by-step explanation:

Answer:

HJ + JM = 5

Step-by-step explanation:

The number line is majorly used to show the positions of directed numbers. For the given question, the number line has the required points as shown in the attachment to this answer.

From the number line,

HJ = -1 - (-3)

    = -1 + 3

    = 2

HJ = -2

JM = 2 - (-1)

     = 2 + 1

     = 3

Thus,

HJ + JM = 2 + 3

              = 5

HJ + JM = 5

Answer:

9x-5

Step-by-step explanation:

Add the common values together:

(4x-6)+(5x+1)

Answer:

|

−

2

|

+

2

−

2

3

x

−

1

2

Step-by-step explanation:

Answer:

Basic parabola:  y = ax2 + bx + c

We have 3 points we can plug in for (x, y) to create 3 simultaneous equations

(-2, 24):  24 = 4a - 2b + c   {equation 1}

(3, -1):   -1 = 9a + 3b + c    {equation 2}

(-1, 15): 15 = a - b + c        {equation 3}

Solve this system to find the values of a, b, c

Let's first eliminate variable c:

4a - 2b + c = 24   {equation 1}

 a -  b + c = 15    {equation 3}

---------------------  subtract

3a - b = 9

9a + 3b + c = -1    {equation 2}

 a -  b + c = 15    {equation 3}

--------------------  subtract

8a + 4b = -16

We now have two equations with 2 unknowns we can use to find a, b

3a - b = 9         {equation 4}

8a + 4b = -16   {equation 5}

Multiply equation 4 through by 4 and add equations

12a - 4b = 36

8a + 4b = -6

-----------------   add

20a = 30

a = 30/20

a = 3/2

8a + 4b = -6

8(3/2) + 4b = -6

12 + 4b = -6

4b = -6- 12

4b = -18

b = -18/4

b = -9/2

Plug these 2 values into one of the original equations and solve for c

15 = a - b + c        {equation 3}

15 = 3/2 + 9/2 + c

15 = 12/2 + c

15 = 6 + c

c = 15-6

c = 9

y = (3/2)x2 - (9/2)x+ 9

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Step-by-step explanation:

1. Maaf saya gak tahu

2. Benar

3. Salah

4. Jurang

5. Kurang

6. Tujuh

7. Delapan

8. Sembilan

9. Sepuluh

10. Aku Cinta Kamu^_^

Hello! (:

y=2x-5

This equation is written in slope-intercept form (y=mx+b)

Where

m is the slope of the line (2)

b is the y-intercept (5)

Hope it helps! Please ask if you have any query.

~An excited gal

[tex]MagicalNature[/tex]

The slope of the line y = 2x + 5 is 2 obtained by comparing it with slope intercept form y=mx+b, where m is slope.

The slope represents the rate at which the line is increasing or decreasing as you move along the x-axis.

The slope of a linear equation in the form y = mx + b is represented by "m."

In this case, "m" is 2, which means the slope of the line y = 2x + 5 is 2.

Since the slope is positive (2), it means that as x increases by 1 unit, y increases by 2 units, and as x decreases by 1 unit, y decreases by 2 units.

The slope of 2 indicates that the line is inclined, and it rises at a steady rate of 2 units for every 1 unit moved to the right along the x-axis.

Hence, slope of the line  y = 2x + 5 is 2.

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Answer:

The first table.

Step-by-step explanation:

Every single time, the x is being multiplied by 3 to get the y, and that means its proportional. Also, the second one is for sure NOT proportional

Answer:

5^15

Step-by-step explanation:

if they have the same base then you add the two top vaules therfore giving you c.

Brainliest plzzzzzzz

Answer:

5

Step-by-step explanation:

42.75 - 9 = 33.75 (shoes)

33.75/6.75= 5 games

Answer:

Im d u m b

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine if it is a function, check if any x value repeated. For it to be a function, every x value should only be paired with one value

In both the table you can see that values are paired with more than one value meaning they aren't function...

Answer:

7x + 1 and 2a - 1

Step-by-step explanation:

(a)

2x + 1 + 5x ← collect like terms

= (2x + 5x) + 1

= 7x + 1

(b)

- 3a + 2 + 5a - 3 ← collect like terms

= (- 3a + 5a) + (2 - 3)

= 2a + (- 1)

= 2a - 1

Step-by-step explanation:

Given

f(x) = - 4x - 2

g(x) = 2x

(f • g) (x) = ?

We know

f(g(x)) = f ( 2x )

= - 4 ( 2x ) - 2

= - 8x - 2

Answer:

hmmmmm b

Step-by-step explanation:

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to show that the left hand side equals the right hand side

We can express the left hand side as:

sin A/ cos A * sec A/cosec A

kindly recall that;

sin A/cos A = tan A

Also;

sec A = 1/ cos A

cosec A = 1/ sin A

Thus, we have that ;

tan A * 1/cos A / 1 / sin A

= tan A * sin A/cos A

This is;

tan A * tan A = tan^2 A

Answer:

D. 125π km³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

radius, r = 5 km

Height, h= 5 km

Volume of a cylinder = πr²h

= π × (5 km)² × 5 km

= π × 25 km² × 5 km

= 125π km³

The answer is D. 125π km³

Answer:

Add em both and set em equal to 180

20+(6x-2)=180

18+6x=180

6x=162

X=27

Answer:

6x-2+20=90

or,6x+18=90

or,6x=90-18

or,6x=72

or,x=72÷6

x=12

Answer:

1. 1 to 2        2. 9 to 4              3. 5 to 3

Step-by-step explanation:

Its just half which is one to 2, this one is pretty simple, so trust me

you just find the highest number that can go into both ones.

12 yards and 20 feet, one yard in 3  feet

Answer:

the ratio is 20

Over 40

Step-by-step explanation:

it’s logical I got it correct and you just put them together

9514 1404 393

Answer:

 volume is doubled

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Then the volume of the modified cylinder is ...

  V = π(2r)²(h/2) = π(4r²)h/2 = 2πr²h . . . . . double the previous volume

Answer:

6/20, 15/50, 9/30, 30/100, 12/40, 18/60....

Step-by-step explanation:

Its just multiplying the fraction by any whole number.

Make sure to do both the numerator and the denominator!

(hope this helps)

As table shows a proportional relationship between x and y then constant of proportionality are 20, 40, 0.2 and 20 respectively

In the first table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.

In the second table, the constant of proportionality is 40 because each value of y is obtained by multiplying the corresponding value of x by 40.

In the third table, the constant of proportionality is 0.2 because each value of y is obtained by multiplying the corresponding value of x by 0.2.

In the fourth table, the constant of proportionality is 20 because each value of y is obtained by multiplying the corresponding value of x by 20.

To learn more on Constant of proportionality click:

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Answer:

8.3%

Step-by-step explanation:

The formula for Percentage error is given as:

|Measured value - True value|/True value × 100

The measured value = 13cm

The true value = 12cm

Hence:

Percentage error = |13 cm - 12cm|/12 cm × 100

= 1/12 × 100

= 8.3%

The percent error of Jessica's measurement is 8.3%

Answer:

96m

Step-by-step explanation:

L x W= A

12x8=96m

Answer:

above the 8 it would be another 8 then to the  side it would be a 12 the ad them all up together or like this 8+8 =16    and 12+12=24       16+24 is 40

Step-by-step explanation:

Answer:

The third choice, [tex]x\leq -8[/tex]

Step-by-step explanation:

One way to do it is to substitute in the potential answers. I'll show you here.

Choice 1

[tex]2(-2)+3\leq (-2)-5[/tex]

[tex]-4+3\leq -2-5[/tex]

[tex]-1\leq -7[/tex]

We can see that this is false, so the answer cannot be choice 1.

Choice 2

[tex]2(2)+3\leq (2)-5[/tex]

[tex]4+3\leq 2- 5[/tex]

[tex]7\leq -3[/tex]

This is also false, so the answer cannot be choice 2.

Choice 3

[tex]2(- 8)+ 3\leq (-8)-5[/tex]

[tex]-16+3\leq -8-5[/tex]

[tex]-13\leq -13[/tex]

This is true. Let's see if choice 4 works.

Choice 4

[tex]2(8)+3\leq (8)-5[/tex]

[tex]16+3\leq 8-5[/tex]

[tex]19\leq 3[/tex]

This is not true. Therefore, 3 is correct.

Answer:

$1000 ; 500 ; 1000 ; y = 500x + 1000

Step-by-step explanation:

From the graph, the initial deposit which started the savings account is $1000 ; this is the value on the y - intercept, the value in the account at time or period = 0.

The slope :

x1 = 0 ; y1 = 1000

x2 = 6 ; y2 = 4000

Slope = Rise / Run

Rise = y2 - y1 = 4000 - 1000 = 3000

Run = x2 - x1 = 6 - 0 = 6

Hence,

Slope = 3000 / 6

Slope = 500

y - intercept = 1000 (from. Graph)

Equation in slope intercept form:

General form : y = mx + c

m = slope ; c = intercept

Equation is written as ;

y = 500x + 1000

Answer:

1280

Step-by-step explanation:

The first 3 part of the ratio corresponds to 960 bottles of orange juice

Dividing 960 by 3 gives the value of one part of the ratio.

960 ÷ 3 = 320 ← value of 1 part of the ratio, then

apple juice = 4 × 320 = 1280 bottles

Answer:

43 min

Step-by-step explanation:

subtract $24.84 from $30 and you get $5.16 and you divide that by 12 cents which then you get 43 min

Answer:

% Apple juice = [tex]\frac{4}{7}[/tex] × Y × 100.

Step-by-step explanation:

Given:

Ratio of apple juice to water = 4 : 3 = Y i.e 4+ 3 = 7

To find the exact % of apple juice used in  recipe, we use the ratio of juice to water provided, given Y as any amount of apple cider.

∴ equation [tex]\frac{4}{7}[/tex] × Y = amount of apple juice.

for percentage, [tex]\frac{4}{7}[/tex] × Y × 100 = amount of apple juice.

Proof:

In 200ml apple cider, amount of apple juice present

= 4/7 × 200 = 114.2ml of juice

To make upto 00ml cider, add (200-114.2)ml of water.

I hope this was helpful.