suppose that functions p and q are defined as follows

p(x) = 2x
q(x) = x^2-2

find the following :
(q•p) (-3)=
(p•q) (-3)

Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.

The answer to this problem: 2

Answer:

B. 32

Step-by-step explanation:

instead of X in the equation put 3, you will get the answer as 32.

hope it helps!

Answer:

B. 32

Step-by-step explanation:

\(f(x) = \frac{1}{2} \bigg( {4} \bigg)^{x} \\ \\ plug \: x = 3 \\ \\ f(3) = \frac{1}{2} \bigg( {4} \bigg)^{3} \\ \\ f(3) = \frac{1}{2} \times 64 \\ \\ f(3) = 32\)

Answer:

(a) \(x = 60\)

(b) \(x = 2.64\)

(c) \(x=15\)

Step-by-step explanation:

Solving (a):

\(\frac{1}{4}x + \frac{2}{5}x = 39\)

\(\frac{x}{4} + \frac{2x}{5} = 39\)

Take LCM

\(\frac{13x}{20} = 39\)

Multiply through by 20

\(20 * \frac{13x}{20} = 39 * 20\)

\(13x = 39 * 20\)

\(13x = 780\)

Solve for x

\(x = 780/13\)

\(x = 60\)

Solving (b):

\(0.6x + 0.5x = 2.9\)

This gives:

\(1.1x = 2.9\)

Solve for x

\(x = \frac{2.9}{1.1}\)

\(x = \frac{29}{11}\)

\(x = 2.64\)

Solving (c):

\(\frac{3}{5}x = 9\)

Multiply both sides by \(\frac{5}{3}\)

\(\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}\)

\(x = 9 * \frac{5}{3}\)

\(x = \frac{9 *5}{3}\)

\(x = \frac{45}{3}\)

\(x=15\)

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1

Answer:

Answer is option a,b and d.

Step-by-step explanation:

Property of exponents:

\( \frac{ {a}^{m} }{ {b}^{n} } = {a}^{m - n} \)

Answer:

C. {2p + 5c = 8

p + c = 25

is the system of equation

Answer:

14

Explanation: 2/9x 63= 2x 63/9= 2x7

Answer:

14

Step-by-step explanation:

i believe so....

Step-by-step explanation:

we know that on a 30 60 90 trianlge the length of the side opposite the 30 degree angle is half of the length of hypotenuse.So in this problem

the length of the side opposite the 30 angle is 17/2

talking about exercise on the photo the answer is

8√3 because it is given that the length of the side opposite the 30 anlge is 8 so hypotenuse is 16 we mentioned why before.

Now lets use pythagorean theorem

x^2+y^2=z^2

z is hypotenuse

8^2+y^2=16^2

64+y^2=256

y^2=256-64

y^2=192

y=8√3

The linear function for the total cost C is:

A function is an expression, rule, or law that defines a relationship between one variable.

Example:

\(f(\text{x}) = 2\text{x} + 1\)

\(f(1) = 2 + 1 = 3\)

\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The total cost for x cubic yards.

\(\bold{C = 28 + 48x}\)

Thus, the function is C = 28 + 48x.

To know more about functions, visit:

https://brainly.com/question/31062578

Answer:

The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7

Step-by-step explanation:

Odds-against is the ratio of probability of non-occurrence of an event to the probability of occurrence of an event.

Let p be the probability that the new customer will order vanilla

Then

\(p = \frac{7}{9}\)

Let q be the probability that the new customer will not order vanilla

\(q = 1-p\\= 1 - \frac{7}{9}\\= \frac{9-7}{9}\\=\frac{2}{9}\)

Now the odds against formula is:

\(\frac{Probability\ of\ non-occurrence}{Probability\ of\ occurrence}= \frac{q}{p}\\=\frac{\frac{2}{9}}{\frac{7}{9}}\\=\frac{2}{9} * \frac{9}{7}\\=\frac{2}{7}\)

Hence,

The odds-against a new customer ordering a vanilla ice cream are: 2/7 or 2 to 7

The value of the solution of (f.g)(t) is 2t^2-3t+7

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

Types of Functions

Many – one function. Onto – function (Surjective Function) Into – function. Polynomial function

In the given equation,

f.g (t) is 2t^2-3t+7

To learn more about functions, click the following link:-

https://brainly.com/question/25638609

#SPJ1

Answer:

Step-by-step explanation:

1/16=64^4x-3

1/4^2=(4^3)^4x-3

4^-2=(4^3)^4x-3

4^-2=4^3*(4x-3)

Since the bases are equal (to 4), the exponents must be equal to each other.

-2=3*(4x-3)

-2=12x-9

-2+9=12x

7=12x

7/12=x

x=7/12

So the answer is x=7/12

Answer:

Substitute x = -9 and x = -3 into  \(y=5-\dfrac13x\)  

\(\implies y=5-\dfrac13(-9)=8\)

\(\implies y=5-\dfrac13(-3)=6\)

Plot a closed circle at (-9, 8) and and open circle at (-3, 6).

Connect the points with a line segment.

Substitute x = -3 and x = 8 into \(y=\dfrac23x\)

\(\implies y=\dfrac23(-3)=-2\)

\(y=\dfrac23(8)=\dfrac{16}{3}\)

Plot closed circles at (-3, 2) and (8, 16/3).

Connect the points with a line segment.

Answer: I dont know if im right for sure but the answer should be 4

Step-by-step explanation

8 goes into 2 4 times (8 divided by 2 = 4)

Each child ate 2 pieces (4-2=2)

so therefore for it to be 2 pieces left over there were 4 kids I think.

Answer:

11

Step-by-step explanation:

So each pizza has 8 equal slices but we don't know the amount pizzas but we can find it by doing this ⬇️

1 pizza= 8 slices

3 pizzas = x

you cross multiply it and it will end up as 3×8= 24 slices.

now each kid ate 2 pieces and there was a leftover of 2

therefore, 24-2= 22 pieces divided 2 is 11

or; 3×8=24-2=22÷2=11

Answer:

I would say it's B(3/8)

Answer:

7 - 1/2 - 5 = 6/-3 = -2

Step-by-step explanation:

None of those answers are correct the answer is -2

Answer:

Step-by-step explanation:

it’s 51

a) The correlation coefficient between the number of absences and final grade is a strong negative -0.991. This means that there's a high likelihood that the number of absences is affecting the final grade, but not in a good way.

b) The slope of the regression line, which helps us understand the relationship between absences and final grade, is -0.624. This indicates that on average, a student's final grade is expected to decrease by 0.624 points for every additional absence they have.

c) The standard error for the model, which measures the difference between the actual exam scores and the predicted scores, is 2.455. This is a measure of the model's accuracy, and the lower the standard error, the more accurate the model is.

d) Yes, there is a significant correlation between the number of absences and exam score. The negative correlation coefficient tells us that the more absences a student has, the lower their exam score is likely to be.

e) Based on the regression line, we can estimate that a student with 7 absences is expected to receive an exam score of 83 (rounded to the nearest whole number). However, it's important to note that this is just an estimate, and other factors such as the student's study habits, test-taking skills, and prior knowledge of the subject could also influence their final grade.

Answer:

-2

Step-by-step explanation:

y=ax+b

Put the numbers into that equation.

-1=1/2*2+b

Simplify:

-1=1+b

-1-1=b

-2=b

Hope this helped! :)

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.

Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

The motion of the skier from point A to point B, then to point C, and then point D, indicates that the distances and displacement traveled are;

a) The distance from A to C is 280 meters

b) The distance from point A to point D is 360 meters

c) The displacement of the skier from point B to point C is 120 meters.

Displacement is the change in the position or location of the object.

The possible diagram of the skier in the question can be presented as follows;

A \({}\)                            C                                                   D                          B

t = 0 min      \({}\)         t = 2 min                                       t = 3 min            \({}\)t = 1 min

ʂ         \({}\)                     ʂ                                                     ʂ                           ʂ

-|-------|------|------|------|-----|------|-----|------|------|-------|-------|--------|-------|-------|-----

0           \({}\)   20           40         60          80            100    120    140           160

The above diagram indicates that we get;

a) The distance from point A (t = 0 min) to point C(t = 2 min) is can be found as follows;

The skier moves from point A to point B then from point B to point C, therefore,

The distance from point A to point B = 160 m - 0 m = 160 m

The distance from point B to point C = 160 m - 40 m = 120 m

The distance from point A to point C is therefore;

b) The distance from point A to point D = The distance from point A to point C + The distance from point C to point D as follows;

AD = AC + CD

CD = 120 m - 40 m = 80 m

Therefore;

AD = 280 m + 80 m = 360 m

c) The displacement of the skier from point B (t = 1 min) to C (t = 2 min) can be found as follows;

Learn  more on the displacement and distance of an object here: https://brainly.com/question/15127674

#SPJ1

Answer:

a

Step-by-step explanation:

Step-by-step explanation:

M-8=11

M=11+8

M=19

hope it helps u

Answer:

Add 8 to both sides of the equation

m=19

Step-by-step explanation:

The equation given is:

m-8=11

We want to solve the equation for m. To do this, we must isolate m on one side of the equation.

8 is being subtracted from m. The inverse of subtraction is addition. Add 8 to both sides of the equation.

m(-8+8)= 11+8

m= 11+8

m= 19

The step used to solve the equation is adding 8 to both sides and the solution is m=19

The values of the variables and the side lengths are

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

AB = AC

Perimeter = 27.3

Using the attached figure, we have

6x - 2y = x + 5

Evaluate

5x = 2y + 5

For the perimeter, we have

AC + AB + BC = 27.3

So, we have

6x - 2y + x + 5 + y + 6.3 = 27.3

Simplify

7x = y + 16

Multiply by 2

14x = 2y + 32

Subtract from 5x = 2y + 5

9x = 27

So, we have

x = 3

This means that

2y + 32 = 14 * 3

2y + 32 = 42

Evaluate

2y = 10

y = 5

For the side lengths, we have

AC + AB + BC = 27.3

So, we have

AC = 6(3) - 2(5) = 8

AB = 3 + 5 = 8

BC = 5 + 6.3 = 11.3

Read more about perimeter at

https://brainly.com/question/25092270

#SPJ1

Answer:

it is a 1-10

Step-by-step explanation:

okay so let's say Luke puts in two dimes he gets 20mins of parking so when doing a table put a zero at the end of number of dimes and you get p

for the graph the slope is 1/10 for every dime you go up one and over 10 times

hope this helped :)

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To learn more about Line of Perpendicular and Slope of a line, refer to the following answers:

https://brainly.com/question/25842670

https://brainly.com/question/30422569

Answer:

-2×5=10, -10×5=-50, -50x5=-250. So, the next number is -250×5=-1250

Answer:

\(\frac{159^{n} -(\left \{ {{159} \atop {n}} \right.)*n! ) }{159^{n} }\)

Step-by-step explanation:

number of counties = 159

n number of people are mutually independent and equally likely home locations

considering the details given in the question

n ≤ 159

The number of ways for people ( n ) will live in the different counties (159) can be determined as \((\left \{ {{159} \atop {n}} \right} )\)

since the residents are mutually independent and equally likely home locations hence there are : \(159^{n}\) ways for the residents to live in

therefore the probability = \(\frac{159^{n} -(\left \{ {{159} \atop {n}} \right.)*n! ) }{159^{n} }\)

Step-by-step explanation:

perimeter of a rectangle = 2×length + 2×width = 28 ft

width = length - 2

length = width + 2

2×(width + 2) + 2×width = 28

2×width + 4 + 2×width = 28

4×width + 4 = 28

4×width = 24

width = 6 ft

and the length is width + 2 = 6+2 = 8 ft.

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

For such more questions inches

https://brainly.com/question/876758

#SPJ8

Answer:

Yes.

Step-by-step explanation:

According to medical science, a body temperature considered normal (that is, below fever) in degrees Fahrenheit is 98ºF, while its equivalent in degrees Celsius is 36.6ºC. Therefore, a body temperature of 39ºC is higher than 98ºF, being equivalent to 102.2ºF.

This is verified by applying the conversion formula from Celcius to Fahrenheit:

(39 x 9/5) + 32 = X

39 x 1.8 + 32 = X

70.2 + 32 = X

102.2 = X