can anyone help me solve this function?

Answer:

A

Step-by-step explanation:

First, let's label the variables:

[tex]\text{Let }x \text{ represent Kaylee's number of pens,}\\\text{Let }L \text{ represent Lou's number of pens,}\\\text{And let }I \text{ represent Ilene's number of pens.}[/tex]

The first and second sentence, Kaylee at the start has x pens. She gave half to Lou, who started out with two fewer than Kaylee.

In other words, the total Lou now has is:

[tex]L=(\frac{1}{2}x )+(x-2)[/tex]

The first term represents what Kaylee gave to Lou. The second term represents what Lou had originally (two fewer than Kaylee [x]).

Simplifying, we get:

[tex]L=\frac{3}{2}x-2[/tex]

Third sentence. Lou give half of his new total to Ilene, who started out with three fewer pens than Lou. Lou, remember, started with three fewer than Kaylee (x-2). In other words:

[tex]I=(\frac{1}{2}(\frac{3}{2}x-2) )+((x-2)-3)[/tex]

The left represents what is given to Ilene: one-third of Lou's new total. The right represents Ilene's original total: three fewer than Lou: or five fewer than Kaylee. Simplifying gives:

[tex]I=(\frac{3}{4} x-1)+(x-5)\\I=\frac{7}{4}x-6[/tex]

Finally, Ilene gives a third of this new amount to Kaylee, and Kaylee's final amount is 37. Thus:

[tex]37=x-\frac{1}{2}x+\frac{1}{3}(\frac{7}{4}x-6)[/tex]

The first term represents what Kaylee originally started with. The second term represents what she gave to Lou. And the third term represents what Ilene gave to Kaylee. Simplify:

[tex]37=\frac{1}{2}x+\frac{7}{12}x-2\\39=\frac{6}{12}x+\frac{7}{12}x \\39=\frac{13}{12}x\\ 468=13x\\x=36[/tex]

Answer:

False ,false,true, true and true

Step-by-step explanation:

Answer:

[tex]10[/tex]

Step-by-step explanation:

[tex]f(x)=-x^2+6x+1[/tex]

x coordinate:

[tex]\frac{-b}{2a}[/tex]

[tex]a=-1\\b=6[/tex]

[tex]\frac{-6}{2(-1)} \\\frac{-6}{-2}\\ =3[/tex]

y-coordinate:

[tex]f(3)=-(3)^2+6(3)+1\\f(3)=-9+18+1\\f(3)=10[/tex]

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve this problem you have to complete the square. To do that, set the quadratic equal to 0, then move the constant over to the other side. That's 2 steps in one, but they're simple ones:

[tex]-5t^2+10t=-65[/tex]

The first picky rule that completing the square has to follow is that the coefficient on the squared term has to be a 1. Ours is a -5, so we factor it out:

[tex]-5(t^2-2t)=-65[/tex] . Now it gets even pickier. To create a perfect square binomial on the left, we take half the linear term, square it, and add it in to both sides. Our linear term is a -2. Half of -2 is -1, and -1 squared is 1, so we add 1 into the set of parenthesis. BUT the -5 out front is a multiplier and refuses to be ignored. To offset the addition of the 1 inside the parenthesis, we have to multiply it by the -5 out front to get -5:

[tex]-5(t^2-2t+1)=-65-5[/tex]

The perfect square binomial on the left side and simplifying the right:

[tex]-5(t-1)^2=-70[/tex] . Now we'll move the 70 over and set the quadratic back equal to y:

[tex]-5(t-1)^2+70=y[/tex]

That's the quadratic in vertex form. The vertex here is (1, 70) which serves to answer 2 questions for us: the max height of the ball along with the time it was at that max height. For us, the ball reached a max height of 70 m after 1 second in its travels.

You could also do it the "calculus way" which is to find the derivative of the position function, which is

-10t + 10 = 0 and solve for t:

-10t = -10 so

t = 1. That's the time that the ball is at its highest point, and to find the highest point, sub that value in for t in the position function:

[tex]h(t)=-5(1)+10(1)+65[/tex] which comes to 70 m. I'm not sure what class you're taking so I did both! Calculus is way easier.

Answer:

x = 12 units

Step-by-step explanation:

In the picture attached,

Since, DE and BC are the parallel lines,AC and AB are the transverse.

Therefore, ∠AED ≅ ∠ABC [Alternate angles]

∠ADE ≅ ∠ACB [Alternate angles]

ΔADE ~ ΔACB [By AA postulate of similarity]

By the property of similarity,

If two triangles are similar then their corresponding sides will be proportional.

[tex]\frac{\text{AB}}{\text{AE}}=\frac{\text{AC}}{\text{AD}}[/tex]

[tex]\frac{(4+8)}{4}=\frac{(6+x)}{6}[/tex]

[tex]3=1+\frac{x}{6}[/tex]

x = 12

Therefore, length of missing segment is 12 units.

Answer: The volume is 33 cubic centimeters.

Step-by-step explanation:

First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume  a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.

So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.

V= 3^2 * 2 /3

V= 9 * 2 /3

V= 18/3

v= 6  

So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.

Volume of the a cube uses the formula s^3 where s is the side length.

V= 3^3

v= 3*3*3

v= 27  

The volume of the cube is 27.

Add 6 and 27 to find the total volume.

6 +27 = 33

Answer:

16

Step-by-step explanation:

Well first we need to plug in 10 for g and 6 for h.

2/5(10) + 3(6) - 6

4 + 18 - 6

22 - 6

16

Thus,

the answer is 16.

Hipe this helps :)

Answer:

16

Step-by-step explanation:

We are given the expression:

2/5g+ 3h - 6

We know that g=10 and h=6. Therefore, we can substitute 10 and 6 into the expression and solve according to PEMDAS( Parentheses, Exponents, Multiplication, Division, Addition, Subtraction)

2/5(10)+3(6)-6

First, multiply 2/5 and 10

4+ 3(6)-6

Next, multiply 3 and 6

4+18-6

Next, add 4 and 18

22-6

Finally, subtract 6 from 22

16

2/5g + 3h - 6 when g=10 and h= 6 is 16.

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Following are the description of the given points:

(a) This is a system of probability, which possibility occurs inside an intended manner whenever they choose this specific point of origin from 1 to 100 with no one reserve the possibility about who gets throughout the survey.  

(b) Its method is different from the random sampling technique with the base available. For example, two individuals whose names identical to both the list have no chance to join within the survey.  

(c) its sample is objective to its everyone can enter the test in equal measure.

Answer: C

Step-by-step explanation:

"w" represents the number of weeks. If she adds $10 per week, the equation will include 10w. Because she starts out with $60 already, the complete equation would be:

[tex]T=60+10w[/tex].

Hope this helps!

The equation that describes the amount she has after 'w' weeks is

C : T = 60 + 10w.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, Sally wants to save for a new cell phone. She opens a bank account with $60 and adds $10 each week.

Assuming the total amount to be 'T' and no. of weeks to be 'w'.

∴ The equation that represents the amount of money she has is,

T = 60 + 10w.

learn more about functions here :

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Answer:

241 mm^2.

Step-by-step explanation:

There are 10 mm in a cm so there are 10*10 = 100 mm^2 in  a cm^2.

So the answer is 2.41 * 100 = 241 mm^2.

Answer:

241mm²

Step-by-step explanation:

If 10mm = 1cm,

then 100mm² = 1cm²

2.41 × 100 = 241mm²

Hey There!!

To get the average rate of change, we simply have to use this formula:

ARC = (y2 -y1) / (x2 - x1)

For the first function:

ARC = (64 - 0) / (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope

m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:

h(0) = 18

h(4) = 66

ARC = (66 - 18) / (4 - 0) = 12 Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:

g(x)

h(x)

f(x)

Hope This Helps!!

By ☆Itsbrazts☆

Answer:

slope of f(x) is 16 slope of g(x) is -1/2 and tho slope of h(x) 12.5

Answer:

D. The graph of g(x) is horizontal stretched by a factor of 3.

Step-by-step explanation:

Multiplying x by 1/3 stretches the graph horizontally by a factor of 3.

Answer:i think its d too

Step-by-step explanation:

Step-by-step explanation:

Given:

x = 26214.47

s = 5969.25

n = 15

t = 2.046

The confidence interval is:

CI = x ± t (s / √n)

CI = 26214.47 ± 2.046 (5969.25 / √15)

CI = (23061.06, 29367.88)

Answer:

Step-by-step explanation:

985 = 5 * 197 = 1 * 5 * 197

The product of the divisors is 985

The sum is 203

Answer:

[tex]\boxed{x = 45\ degrees}[/tex]

Step-by-step explanation:

x = 180 - 80 - 55 (Interior angles of a triangle add up to 180 degrees so if we need to find any unknown angle, we'll subtract all the other angles from 180)

x = 45 degrees

Answer: 45

Step-by-step explanation:

The sum of a triangle's angles will always be 180 degrees. If we subtract 80 and 55 from 180, we will get the missing angle.

[tex]180-80-55=45[/tex]

Thus, the missing angle is 45 degrees.

Answer:

100= Initial Amount

1/4= decay factor for each week

w= number of weeks

1/4w= decay factor after w weeks

1 - 0.4= decay factor for each week

w= number of weeks

0.4= percent decrease

Step-by-step explanation:

Answer:

17.3 = AC

Step-by-step explanation:

Since this is a right angle, we can use trig functions

tan B = opp/ adj

Tan 68 = AC / 7

7 tan 68 = AC

17.32560797 = AC

To 1 decimal place

17.3 = AC

Answer:

Step-by-step explanation:

To find AC we use tan

tan ∅ = opposite / adjacent

From the question

AB is the adjacent

AC is the opposite

So we have

tan 68 = AC / AB

AC = AB tan 68

AC = 7 tan 68

AC = 17.32

AC = 17. 3 cm to one decimal place

Hope this helps you

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2[tex]x[/tex] and PC = 3[tex]x[/tex]

Now, BP + PC = BC = 58 = 2[tex]x[/tex] + 3[tex]x[/tex] = 5[tex]x[/tex]

So,

[tex]5x =58\\\Rightarrow x =11.6[/tex]

BP = [tex]2\times x = 2 \times 11.6 = 23.2\ inches[/tex]

Location of the Cut = 2 + 23.2 = 25.2 inches

Alternatively, we can use the formula directly:

[tex]x = \dfrac{m} {m + n } (x_2 - x_1) + x_1[/tex]

[tex]x_1 = 2\\x_2 = 60[/tex]

m: n is the ratio 2:3

[tex]x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}[/tex]

Answer:

Yes i confirm the answer above is correct. A.) 25.2

Step-by-step explanation:

I took the test duhh

Answer:

After 24 hours, there will be 4191 bacteria present in the culture.

Step-by-step explanation:

Initial number of bacteria = 300

amount in 10 hrs = 3 x 300 = 900

time taken = 10 hours

Bacterial growth is exponential, ans so we use the equation

N = N'[tex]e^{kt}[/tex]

where N is the final amount

N' is the initial amount

k is the growth constant

t is the time

For this first case, we have

900 = 300 x [tex]e^{k*10}[/tex]

3 = [tex]e^{10k}[/tex]

take natural log of both sides, we'll have

ln 3 = ln [tex]e^{10k}[/tex]

1.0986 = 10k

k = 1.0986/10 = 0.10986

using the growth constant above, we calculate for a day which is 24 hours

N = N'[tex]e^{kt}[/tex]

N = 300 x [tex]e^{0.10986*24}[/tex]

N = 300 x [tex]e^{2.637}[/tex]

N = 300 x 13.97

N = 4191 bacteria

Answer:

The correct option is;

(2·x - y = -2 and 22·x + 10·y = 7)

2 x minus y = negative 2 and 22 x + 10 y = 7

Step-by-step explanation:

2x - y = -2.........(1)

3x + 2y = 5.......(2)

4x - y = 2..........(3)

22x + 10y = 7...(4)

Given that the solution of the system of equation is (-0.3, 1.4), we have;

The system of equations consist of those equations that pass through the point (-0.3, 1.4)

We check as follows;

Equation (1)

2×(-0.3) - 1.4 = -2

Therefore, equation (1) passes through the point (-0.3, 1.4) and is one of the equations

Equation (2)

3×(-0.3) + 2×1.4 = 1.9 ≠ 5

Equation (2) is not part of the system of equations

Equation (3)

4×(-0.3) - 1.4 = -2.6 ≠2

Equation (3) is not part of the system of equations

Equation (4)

22×(-0.3) + 10×1.4 = 7.4 ≈ 7

Therefore, equation (4) approximately passes through the point (-0.3, 1.4) and is one of the equations

The correct option is A. [tex]2x - y = -2\ and 22x + 10y = 7.[/tex]

Given equations,

[tex]2x - y = -2.........(1)[/tex]

[tex]3x + 2y = 5.......(2)[/tex]

[tex]4x - y = 2..........(3)[/tex]

[tex]22x + 10y = 7...(4)[/tex]

Since the solution of the system of equation is [tex](-0.3, 1.4),[/tex]  Hence the system of equation satisfy the above point.

Now check all the equations,

Equation (1),

[tex]2\times(-0.3) - 1.4 = -2\\-0.6-1.4=-2\\-2.0=-2[/tex]

Hence, equation (1) passes through the point[tex](-0.3, 1.4)[/tex]  and is one of the equations.

Similarly, Equation (2)

[tex]3\times (-0.3) + 2\times1.4 = 5\\-0.9+2.8=5\\1.9=5\\[/tex]

Hence the above equation does not satisfy the solution, so it is not the other system of equation.

Now, Equation (3)

[tex]4\times(-0.3) - 1.4 = -2.6 \neq 2[/tex]

Hence Equation (3) is not part of the system of equations.

Now, Equation (4)

[tex]22\times (-0.3) + 10\times1.4 = 7.4[/tex]

Hence the above equation approximately passes through the solution[tex].(-0.3, 1.4)[/tex] and is one of the equations.

Hence the required system of equation is  [tex]2x - y = -2[/tex] and [tex]22x + 10y = 7[/tex].

Therefore the correct option is A.

For more details follow the link:

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Answer:

–9 < x – 4 < 9

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

You can use a graphing calculator. Attached is a picture of it graphed.

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Assuming both vertical lines are parallel and assuming I'm supposed to find all the unmarked angles...

Angle C:

Supplementary Angles.

x+36=180

180-36=x

x=144

Angle B:

Corresponding Angles.

Angle B ≅ Angle C

144

Angle A:

360 degrees in a quadrilateral

36+144+81+x=360

261+x=360

x = 99

Hope it helps <3

Answer:

7

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2.

We were given 49pi. This means that 49=r^2.

The square root of 49 is 7.

So our radius is 7.

Hope this helps! <3

Answer:

9% loss

Step-by-step explanation:

We first can find the amount of money the saree was sold for by multiplying its buy cost, 1,750, by 1.04 (adding 4% to 1)

[tex]1750 \cdot 10.4 = 1820[/tex]

Now, 1820 is definitely less than 2000, so we need to find the percent difference between 2000 and 1820. We can use the formula:

[tex]\frac{higher-lower}{higher} \cdot 100[/tex]

So,

[tex]\frac{2000-1820}{2000} \cdot 100[/tex]

[tex]\frac{180}{2000} \cdot 100[/tex]

[tex]0.09 \cdot 100[/tex]

9

So, the loss percent of this dress is 9%.

Hope this helped!

Answer:

The expression will be simplified into [tex]26x^4y^3+35xy^6-42xy^5\\[/tex]

Step-by-step explanation:

It's like addition, when you multiply exponents that are on the same bases as each other.

Answer:  11 units

Step-by-step explanation:

Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).

To find : length of Side RT of the polygon.

Using distance formula  to find distance between (a,b) and (c,d):

[tex]d=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Length of RT = [tex]\sqrt{(2-2)^2+(5-(-6))^2}[/tex]

[tex]\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11[/tex]

hence, the length of RT = 11 units.

Answer:

the answer is 11 units

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The rate of change between two points a and b(a<b) for a fynction f is given by the formula:

so our rate of change is

Answer:

C. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 11​%±3​%.

Step-by-step explanation:

Data provided in the questions

Number of respondents = 1,000

Choose chocolate pie = 11%

margin of error = ±3 percentage points

Based on the above information,

The lower limit is

= 0.11 - 0.03

= 0.08

And, the upper limit is

= 0.11 + 0.03

= 0.14

So based on the above computation, the option c is correct as it represents the true population percentage of people with respect to the chocolate pie preference

Answer:

y  = ± 2sqrt(3)

Step-by-step explanation:

5y^2 - 60 = 0

Add 60 to each side

5y^2  = 60

Divide by 5

y^2 = 60/5

y^2 = 12

Take the square root of each side

sqrt( y^2) = ± sqrt(12)

y = ± sqrt(4*3)

y =  ±sqrt(4) sqrt(3)

y  = ± 2sqrt(3)