Given f(x) = 2x – 3 and g(x) = x2, find f(g(3)).

Answer:

The answer is 500 times

Step-by-step explanation:

hope this helps you

Answer:

Step-by-step explanation:

$11/ 47 pound = $0.234 for 1 pound

the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.

Answer:

First, let's find the unit price.

$11 ÷ 47 = $0.23 per pound.

$0.45 ÷ 1 = $0.45 per pound.

As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.

We can also put the values on a number line to compare.

          $0.23               $0.45

      (larger bag)    (smaller bag)

<-|---------o---------------------o---------|------------------------------------------|->

$0                                         $0.50                                           $1

As you can see, the larger bag is closer to zero.

Hope this helped!

-Emma

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

Answer:

2 is correct

Step-by-step explanation: I got it right on test

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3+5= 8 so possible 3 rd side is 7

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4+7= 11 so possible 3rd side is 9

4+9= 13 so possible 3rd side is 12

5+7= 12 so possible 3rd side is 9

5+9= 14 so possible 3rd side is 12

7+9= 16 so possible 3rd side is 12

So the possible 9 combinations are:

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Answer:

7/4 + 9/-5 =

Since the denominator of the second fraction is negative the sign will change from negative to positive

We will get

7/4 - 9/5

First find the LCM

LCM of 4 and 5 is 20

7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

We get

35 - 36/20

= -1/20

Hope this helps

Answer:

-1/20

Step-by-step explanation:

7/4 + -9/5

We need a common denominator, which is 20

7/4 *5/5   + -9/5 *4/4

35/20  + -36/20

Add the numerators together

-1/20

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

Answer:

0.12

Step-by-step explanation:

3/25= 12/100

12/100=0.12

Answer:

The answer is c. (0,-1)

Step-by-step explanation:

So the unit circle is derived from a right triangle.

Answer:

[tex]927[/tex]

Step-by-step explanation:

[tex]900 \times (1+0.6\%)^5[/tex]

[tex]900 \times (1+0.6/100)^5[/tex]

[tex]900 \times (1+0.006)^5[/tex]

[tex]900 \times (1.006)^5[/tex]

[tex]900\times \:1.03036[/tex]

[tex]927.32594[/tex]

Answer:

927

Step-by-step explanation:

Total Population = 900

Annual rate of increase = 0.6 % of 900

=> [tex]\frac{0.6}{100}* 900[/tex]

=> 0.6 * 9

=> 5.4

Rate of increase in 5 years = 5 * 5.4

= 27

Population after five years = 900+27

=> 927

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]

Answer:

Proved: PM ≅ ON

Step-by-step explanation:

A parallelogram is a quadrilateral with two opposite sides equal and parallel.

Find attached the diagram obtained from the information

From the above definition, quadrilateral MNOP is a parallelogram if:

Line MN is parallel to Line OP

Line ON is parallel to Line PN

From the diagram

Line MN is parallel to Line OP

Side MN is = side OP

Line ON is parallel to Line PN

Side ON is = side PN

Since the geometric size is equivalent

PM ≅ ON

Where ≅ means congruent to

Proved.

Answer:

113.1 square mm

Step-by-step explanation:

A=πr2=π·62≈113.09734

Answer:

[tex]= 36\pi \: {mm}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]

Answer:

Option B. 7/11

Step-by-step explanation:

The following data were obtained from the question:

Sin x = 7/11

Cos(90 – x) =..?

The value of Cos(90 – x) can simply be obtained as follow:

Recall:

Sin x = Cos(90 – x)

Sin x = 7/11

7/11 = Cos(90 – x)

Therefore, the value of Cos(90 – x) is simply 7/11.

Answer:

The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.

Answer:

Green: x is less than or equal to 2

Purple: y is greater than or equal to x

The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6

Step-by-step explanation: Solid lines mean equal to or < >

Sorry my keyboard doesn't have the real symbol for those.

Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.

Answer:

The first one!

Step-by-step explanation:

the others don't work since there could be more possibilitys than just b and c.

D is just wrong (as you creati)

I seriously cited the sources you fool>;/

plagiarism, what joke is that! is it a joke? don't be crazy please! thanks!

Answer:

I think there is an error in the question because

(f-g) = -4

(f-g) (7) = NO SOLUTION

Step-by-step explanation:

[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]

Answer:

25.12

Step-by-step explanation:

round pi to first 2 digits after decimal point.

3.14 x 8 =25.12

Answer:

Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of  old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.

You cna show this as workings to prove or follow any of the below statements.

Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find  = 62.5 and it's 30% standing value of 67.5  as +1% increase shows us 31% = 69.7  ( 0.31 x 225 = 69.74)

Step-by-step explanation:

88/225  = 0.39111111111 = 39.11%%

P value 01 = 1%  =  225.225 or 5% range of alternative hypotheses.

To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean  (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with  Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.

We can then show 225.225 -  Ha or H1  then graph the probability of obtaining a sample mean that is at least extreme in both tails  Ha or H1

However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%

We prove that 30-1 =29  where 29% of 225 = 225 x 0.29 = 65.25

this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88

This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .

We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.

34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1

Where as shown

30 = 0.3 x 225 = 67.5

76.5475 - 67.5 = 9.04 difference when comparing old method = +1%

where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5  as +1% and 31% = 69.7  ( 0.31 x 225 = 69.74)

You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%

NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Or else it will give you an incorrect calculation

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

Answer:

A) triangle ABC is congruent to triangle EDC

Step-by-step explanation:

The AAS method of proving congruence of triangles uses two angles and a non-included side of the triangle. If two angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Let's see what we have in this problem:

<ACB and <ECD are congruent since they are vertical angles.

<A and <E are congruent by given.

Sides AB and ED are non-included sides and are congruent.

Since we have two angles and a non-included side of a triangle and the corresponding parts of another triangle, the triangles are congruent by AAS.

Now we need the statement of congruence.

Angles ACB and ECD are corresponding angles, so the letter C must appear in both triangles in the same position.

Angles A and E are corresponding angles, so the letters A and E must appear in both triangles the same position.

We already have CA and CE. The last angles left are corresponding angles B and D, so we get triangle CAB and triangle CED. Since a triangle may be named using any order of the vertices, we can rename the triangles ABC and EDC and maintain the same corresponding vertices.

Answer: A) triangle ABC is congruent to triangle EDC

Answer:

240; 24

Step-by-step explanation:

Given that:

Sum of two numbers = 264

One number ends with '0'

Second number = first number without '0'

Let the first number be 'a'

Since the second number is the first number with '0' erased, then,

Second number = (a ÷ 10)

Therefore, the expression becomes :

a + a/10 = 264

Multiply the equation by 10

10a + a = 2640

11a = 2640

a = 2640/11

a = 240

Therefore ;

a = 240 ;

a/10 = 240/10 = 24

The numbers are 240 and 24

Answer:

Approximately 43.30 miles

Step-by-step explanation:

We use the given formula:

[tex]d=\sqrt{1.5\,h}[/tex]

replacing "h" with the value of the height of the Empire State Building (1250 feet):

[tex]d=\sqrt{1.5\,*1250} \\d= 43.30 \,\,\,miles[/tex]

Answer:

yes their parallel

Step-by-step explanation:

their the same equation just one is negative they go the go next to each other but never touch

Answer:

A-2/9

Step-by-step explanation:

assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)

3x3=9

he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.

so I think it would be 2/9

Answer:

5/9

Step-by-step explanation:

Hello,

To continue on the same logic as for other questions, let s check the possible outcomes, they are 9

First draw  second draw  sum of the value  Is it >= 30c?

dimes   dimes   20  

dimes   nickels   15  

dimes   quarters          35      Yes

nickels   dimes   15  

nickels   nickels   10  

nickels   quarters          30      Yes

quarters          dimes   35      Yes

quarters          nickels   30      Yes

quarters          quarters          50      Yes

For only 5 the sum is >= 30c

so the probability is 5/9

hope this helps

Answer:

D

Step-by-step explanation:

Perfect square trinomials can be written as (a + b)² = a² + 2ab + b². In this case, we know that a = x so we can write this as x² + 2bx + b². Since we know that 2bx = 24x we can conclude that b = 12, so that means b² = 12 * 12 = 144.

Answer:

Answer D

Step-by-step explanation:

Take half of the coefficient of x:  Take half of +24, obtaining 12.  Now square this 12, obtaining 144.  This is the desired value.  Answer D is correct.

Answer:

I'm pretty sure its c

Answer:

Step-by-step explanation:

For greater clarity, graph this triangle.  If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex.  The point B(3, -3) becomes D(-3, -3).  Finally, the point A(4, -1) becomes E(-4, -1).

Answer:

A(4,-1)-> A'(-4,-1) .   B(3,-3)->B'(-3, -3) .  C(0,2) -> C' (0,2)

Step-by-step explanation: