If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9​

Answers

Answer 1

Answer:

4x2-9

Step-by-step explanation:

it would be that because the number is in the c acis


Related Questions

The graph of y=h(x) is a line segment joining the points (1, -5) and (9,1).
Drag the endpoints of the segment below to graph y = h-'(x).

Answers

Answer:

[tex]h^{-1}(x) = \frac{4}{3}x + \frac{23}{3}[/tex]

Step-by-step explanation:

Given

Graph h:

[tex](x_1,y_1) = (1,-5)[/tex]

[tex](x_2,y_2) = (9,1)[/tex]

Required

Plot [tex]h^{-1}(x)[/tex]

First, calculate h(x)

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1--5}{9-1}[/tex]

[tex]m = \frac{6}{8}[/tex]

[tex]m = \frac{3}{4}[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{3}{4}(x - 1) -5[/tex]

[tex]y = \frac{3}{4}x - \frac{3}{4} -5[/tex]

[tex]y = \frac{3}{4}x + \frac{-3 - 20}{4}[/tex]

[tex]y = \frac{3}{4}x - \frac{23}{4}[/tex]

Next, calculate [tex]h^{-1}(x)[/tex]

Swap y and x

[tex]x = \frac{3}{4}y - \frac{23}{4}[/tex]

Solve for y

[tex]\frac{3}{4}y = x + \frac{23}{4}[/tex]

Multiply through by 4

[tex]3y = 4x + 23[/tex]

Divide through by 3

[tex]y = \frac{4}{3}x + \frac{23}{3}[/tex]

Replace y with [tex]h^{-1}(x)[/tex]

[tex]h^{-1}(x) = \frac{4}{3}x + \frac{23}{3}[/tex]

See attachment for graph

Each graph shown represents a transformation of a parent radical function. Which graphs represent functions with an odd index?

Answers

Answer:

Graphs W and Z

Step-by-step explanation:

Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.

Index of the given graphs,

Graph W → Odd index

Graph X → Even index

Graph Y → Even index

Graph W → Odd index

Therefore, graphs W and Z show the radical functions with odd index.

Answer:

The answer is W and Z,  I don't know why people rated it badly.  I just took the practice and got it correct.

Step-by-step explanation:

A student takes a true-false test consisting of 10 questions. Assuming the student guesses at each question, find the probability that the student gets a 60% on the test.

Answers

No, it would be a 50%

Determine where the function is increasing, decreasing, and constant.

Answers

Answer:

X y better because it has X and Y is no no

What is the midpoint of a line segment with endpoints at (-1,-1) and (3,3)?

Answers

The correct answer is (1, 1)

Plz help i need a correct answer asap

Answers

The graph is linear and all we have to do is find the slope

The slope is the change in y over the change in x and since 1-0 is one and 2-0 is 2 it is 2/1 which can simplify to 2.

The equation would be y=2x

please help picture included
Match the verbal expression (term) with its algebraic expression (definition). Match Term Definition Some number A) a = 2 increased by two A variable decreased B) b + 2 by two Product of an C) y2 unknown value and two D) X - 2 Quotient of some number and two An unknown value E) 22 squared​

Answers

9514 1404 393

Answer:

  B, D, E, A, C

Step-by-step explanation:

The main idea here is to use your English comprehension skill to determine the meaning of the phrase, then use your math understanding to write it in symbols. Turning off your brain at the sight of a "word problem" will not be productive.

The wording "some number" or "a variable" or "unknown value" all refer to a variable, typically represented by a single letter. Letters commonly use are {a, b, c, x, y, z}, but variables are not restricted to that set (nor to single letters, nor lower case letters).

In most cases, the math expression is a direct translation of the English expression using the usual math symbols. Values are generally increased by addition, decreased by subtraction, squared using an exponent of 2. A product is the result of multiplication, and a quotient is the result of division.

Top-to-bottom, the boxes on the left will be filled with B, D, E, A, C.

1. What term means "per hundred"?
A base B. percent
C. percentage
D.rate
2. Which of the following is correct?
A. 33% = 0.33 B. 33% = 03.3
C.33% = 33
D. 33% = 3.03
3. 45% of the grade 5 pupils are girls. Express 45% as decimals.
A. 0.045 B. 0.45
C. 4.5
D. 45.0
4. In the statement 35% of 600 = 210. Which is the percentage?
A. 35%
B. 600
C.210
D. none
5. Which does not belong?
A. 21%
B. 21/100 C. 21:100 D. 21
6. Which element of percent represent part of the whole?
A. base B. percent C. percentage D.rate
7. In a survey on the choice of pizza, 900 out of 1500 people preferred brand A to B.
What percent preferred A? What is the missing element?
A. base B. percent
C. percentage D. rate
8. What is the missing element in the problem, "A big theater has 1400 seats. During a
concert, it is 95% full. How many seats were taken?"
A. base B. percent
C. percentage
D. rate
9. Which element of percent represents the whole?
A. base B. percent
C. percentage D.rate
10. How many is 75% of a class?
A. 1/3 B. 1/2 C.3/4 D. 5/6​

Answers

Answer:

1. B

2. B

3. B

4. A

5. D

6. A

7. C

8. D

9. A

10. C

Which of these would be the opposite of a progressive tax?

Answers

c

A regressive tax is the opposite of a progressive tax because you pay a higher tax rate as your income decreases.

Answer:

b

Step-by-step explanation:

(2+5i)+(-3-4i) what is the answer to this question?

Answers

Answer:

-1+i

Step-by-step explanation:

(2+5i)+(-3-4i)

=(2-3)+i(5-4)

=-1+i

Answer:

[tex]−1+i[/tex]

Step-by-step explanation:

[tex](2+5i)+(−3−4i)[/tex]

[tex]2+5i−3−4i[/tex]

[tex]−1+5i−4i[/tex]

[tex]−1+i[/tex]

Hope it is helpful.....

if I buy a dozen cupcakes for $16.80, How much will 16 cupcakes cost.​

Answers

Answer:

i aint gon lie evolution and natural selection?

Step-by-step explanation:

A retail brand plans to open its stores across all cities with a population of more than one million. To prepare for this, it refers to the past year's census done by the government.
Which statement accurately describes the type of data the retail brand is using?
A. The retail brand is relying on raw data because it has to ask for permission to use the census.
B. The retail brand is relying on available data because customers provide information to the census.
C. The census is an example of available data because the government provides it.
D. The census is an example of raw data because the government provides it.

Answers

Answer: C. The census is an example of available data because the government provides it.

Step-by-step explanation:

The statement that accurately describes the type of data the retail brand is using is that census is an example of available data because the government provides it.

Acensus is referred to as an official survey of a country's population which is done in order to know the number of people living there and to know the details of the people like their ages, gender etc.

I need help with this fast

Answers

Answer:

1. positive

2. No

(for number 3, I'm not sure if my answer to it is going to be correct)

Step-by-step explanation:

1. the dots look like they are going up

2. there are no outlying dots that look unusual

Please quickly need this before 30 mimutes

Answers

Answer:

x = 4.48

Step-by-step explanation:

read the picture

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places

Answers

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

[tex]P(B|A) = \frac{12}{51}[/tex]

What is the probability of choosing a king and then, without replacement, a face card?

[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]

0.0181 probability of choosing a king and then, without replacement, a face card.

A rope with a length of 3.5 meters is tied from a stake in the ground to
the top of a tent. It forms a 17 degree angle with the ground. How tall
is the tent?

Answers

Answer: Approximately 1.0233 meters

Round this however you need to

====================================================

Work Shown:

Refer to the drawing below.

sin(angle) = opposite/hypotenuse

sin(17) = x/3.5

3.5*sin(17) = x

x = 3.5*sin(17)

x = 1.02330096652958

x = 1.0233

Be sure that your calculator is in degree mode.

Compute 7,953,000 / 1000.

Answers

Answer:

The answer is 7,953.

Step-by-step explanation :

When you divide like this you are basically being asked how many times something can go into something else. In this case, we are being asked to calculate how many times 1000 can go into 7,953,000. You can use basic math skills or do long division.

I'm going to go with the easier way, basic math skills.

There are three 0's in the back of the number 7,953,000, and notice 1000 has three 0's as well in the back. When you divide those three 0's in the back of both numbers basically cancel out. Well, what does that leave us with?

7953 is what were left with. The answer is 7,953.

What is the value of a?
A. 12
B. 15
C. 17.25
D. 21.25

Answers

Answer:

the answer is a.12

i think

Answer:

17.25

Step-by-step explanation:

Find the distance between the points ( 19,-5) and ( 11, 10).

Answers

Answer:

Let the given two points be A & B. Let A ( 19 , - 5 ) be ( x₁ , y₁ ) & B ( 11 , 10 ) be ( x₂ , y₂ )

Remember : The formula to find out the distance between any two points is [tex] \tt{ \sqrt{( x_{2} -x _{1}) ^{2} + (y _{2} - y_{1}) ^{2} }} [/tex] .

[tex] \large{ \tt{✺ \: SOLUTION}} : [/tex]

[tex] \large{ \boxed{ \tt{AB = \sqrt{(x_{2} - x_{1}  ) ^{2} + (y_{2} - y_{1}) ^{2}   } }}}[/tex]

[tex] \large{ \tt{⟶ \sqrt{(11 - 19)^{2} + (10 - ( - 5) ^{2} } }}[/tex]

[tex] \large{ \tt{⟶ \sqrt{ {8}^{2} + {15}^{2} } }}[/tex]

[tex] \large{ \tt{⟶ \: \sqrt{64 + 225} }}[/tex]

[tex] \large{ \tt{⟶ \sqrt{289}}} [/tex]

[tex] \boxed{ \large{ \tt{⟶ \: 17 \: \text{units}}}}[/tex]

And we're done! Let me know if you have any questions regarding my answer :)

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

At a new school there are 2 teachers of every 15 students. If the school has 42 teachers, how Many students are there in the school?

Answers

Answer:

proportion

Step-by-step explanation:

2----> 15

42--->x

x=(42*15)/2

x= 21 *15.

x= 315

therefore there are 315 students in the school

26378383&&3$73 nzndbnsjdbdbsnsbbsns 827383 jshsbsbsnbsbsbsbbdnsjshbsnsj djidnebejhebdj jdjdbdjjdbdjdj 37387383

Please help me i need help

Answers

Answer:

H

E

A

R

T

S

Step-by-step explanation:

easy

Select the TRUE statement for completely random design.
a.)The experimental units are assigned randomly to exactly one control group and one treatment group.
b.)The experimental units are assigned randomly to one or more control groups and exactly one treatment group.
c.)The experimental units are assigned randomly to one or more control groups and one or more treatment groups.
d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups.

Answers

Answer:

d.)The experimental units are assigned randomly to exactly one control group and one or more treatment groups

Step-by-step explanation:

Completely randomized design can be regarded as a type of experimental design in which the experimental units are assigned randomly for different treatments. This experimental design is utilized in cases whereby experimental units are seen to be “uniform" this implies that no uncontrolled factor in the experiment. completely randomized designs are engaged in studying effects of one primary factor by ignoring other nuisance variables it perform comparison of values of a response variable taking into account of the different levels of that primary factor. It should be noted that in completely random design, the experimental units are assigned randomly to exactly one control group and one or more treatment groups

What is the answer pls I need finals

Answers

Answer:

[tex]( - 2,1)[/tex]

Step-by-step explanation:

Hope it is helpful...

the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​

Answers

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

P=2L%2B2W

Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

2L=166

L=83

The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

What is the solution of |4 − y| = 1?

A. y = 3 or y = 5

B. y = −3 or y = −5

C. y = −3 or y = 5

D. y = 3 or y = −5

A is the answer.

Answers

Answer:

A

Step-by-step explanation:

|4 − y| = 1

drop absolute value lines

create two problems

4 - y = 1

and

4 - y = -1

solve for y

Mr.flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it late

Answers

Answer:

0.52

Step-by-step explanation:

100% - 48% = 52%

[tex]\frac{52}{100}[/tex]

0.52

Use the method of least squares to solve the following problem.
Given the data set below, find the line of best fit? Then find the y-value for when x=7. Yes, there are supposed to be
two 6's.
Х
1
2
4
5
6
6
8
9
Y
14
10
12
8
9
6
3
4

Answers

purr fbfbfbffjhfbfbfbfbfbfbf

Csikszentmihalyi & Figurski (1982) conducted a study to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves). They gave people beepers and asked them to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that:

Answers

Answer:

We think about ourselves way less than we think 8% of the time.

Step-by-step explanation:

In a self-awareness: introspection research study conducted by Mihaly Csikszentmihalyi and Thomas Figurski in 1982, to determine the degree to which people find out about themselves through the process of introspection (thinking about themselves).

The research involved an arrangement where participants were given beepers and asked to write down what they were thinking about when the beepers went off randomly throughout the day. The results indicated that "We think about ourselves way less than we think 8% of the time."

How many solutions does this linear system have?
y=-1/2x+4
x + 2y = 8
one solution: (8,0)
one solution: (0,8)
no solution
O infinite number of solutions

Answers

Answer:

no solution

Step-by-step explanation:

__________

There are ''infinite number of solutions'' does this linear system have.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Linear systems are,

⇒ y = -1/2x + 4  ... (i)

⇒ x + 2y = 8  .. (ii)

Now, From equation (ii);

⇒ x + 2y = 8

⇒ 2y = - x + 8

⇒ y = - 1/2x + 4

Which is same as equation (i).

Hence, There are infinite number of solutions does this linear system have.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Find each interior angles the following regular polygons in degrees and grades
(a) Triangle
(b) Quadrilateral (c) Pentagon (d) Hexagon
(e) Heptagon
(1) Octagon (g) Nonagon
(h) Decagon
polygons in degrees and grades​

Answers

Answer:

(a) 120° or 133.33 grades.

(b)135° or 150 grades.

(c) 144° or 160 grades.

(d) 150° or 166.67 grades.

(e) 154.29° or 171.43 grades.

(f) 157.5° or 175 grades.

(g) 160° or 177.78 grades.

(h) 162° or 180 grades.

Step-by-step explanation:

A regular polygon is a polygon that has all sides and all angles equal.

Each interior angle, k (measured in degrees), of a regular polygon is given by;

k = s ÷ n            -----------(k)

Where;

s = sum of the interior angle of the polygon.

n = number of sides of the polygon

To get s, we use

s = (n - 2) x 180         [This is the formula to calculate the sum of the interior angles of a polygon]

Substituting s this into equation (i) gives

k = (n - 2) x 180 ÷ n

k = 180(n - 2) ÷ n             -------------(ii)

(a) Triangle.

A triangle has n = 3 sides, therefore, each interior angle of a triangle is found by substituting n = 3 into equation (ii)

k = 180(3 - 1) ÷ 3

k = 180(2) ÷ 3

k = 180 x 2 ÷ 3

k = 360 ÷ 3

k = 120°

Convert to grade.

Remember that;

90° = 100 grades

∴ 120° = [tex]\frac{120 * 100}{90}[/tex] grades

⇒ 120° = 133.33 grades.

Therefore, each interior angles of a regular triangle is 120° or 133.33 grades.

(b) Quadrilateral.

A quadrilateral has n = 4 sides, therefore, each interior angle of a quadrilateral is found by substituting n = 4 into equation (ii)

k = 180(4 - 1) ÷ 4

k = 180(3) ÷ 4

k = 180 x 3 ÷ 4

k = 540 ÷ 4

k = 135°

Convert to grade.

Remember that;

90° = 100 grades

∴ 135° = [tex]\frac{135 * 100}{90}[/tex] grades

⇒ 135° = 150 grades.

Therefore, each interior angles of a regular quadrilateral is 135° or 150 grades.

(c) Pentagon

A pentagon has n = 5 sides, therefore, each interior angle of a pentagon is found by substituting n = 5 into equation (ii)

k = 180(5 - 1) ÷ 5

k = 180(4) ÷ 5

k = 180 x 4 ÷ 5

k = 720 ÷ 5

k = 144°

Convert to grade.

Remember that;

90° = 100 grades

∴ 144° = [tex]\frac{144 * 100}{90}[/tex] grades

⇒ 144° = 160 grades.

Therefore, each interior angles of a regular pentagon is 144° or 160 grades.

(d) Hexagon

A hexagon has n = 6 sides, therefore, each interior angle of a hexagon is found by substituting n = 6 into equation (ii)

k = 180(6 - 1) ÷ 6

k = 180(5) ÷ 6

k = 180 x 5 ÷ 6

k = 900 ÷ 6

k = 150°

Convert to grade.

Remember that;

90° = 100 grades

∴ 150° = [tex]\frac{150 * 100}{90}[/tex] grades

⇒ 150° = 166.67 grades.

Therefore, each interior angles of a regular hexagon is 150° or 166.67 grades.

(e) Heptagon

A heptagon has n = 7 sides, therefore, each interior angle of a heptagon is found by substituting n = 7 into equation (ii)

k = 180(7 - 1) ÷ 7

k = 180(6) ÷ 7

k = 180 x 6 ÷ 7

k = 1080 ÷ 7

k = 154.29°

Convert to grade.

Remember that;

90° = 100 grades

∴ 154.29° = [tex]\frac{154.29 * 100}{90}[/tex] grades

⇒ 154.29° = 171.43 grades.

Therefore, each interior angles of a regular heptagon is 154.29° or 171.43 grades.

(f) Octagon

An octagon has n = 8  sides, therefore, each interior angle of a octagon is found by substituting n = 8 into equation (ii)

k = 180(8 - 1) ÷ 8

k = 180(7) ÷ 8

k = 180 x 7 ÷ 8

k = 1260 ÷ 8

k = 157.5°

Convert to grade.

Remember that;

90° = 100 grades

∴ 157.5° = [tex]\frac{157.5 * 100}{90}[/tex] grades

⇒ 157.5° = 175 grades.

Therefore, each interior angles of a regular octagon is 157.5° or 175 grades.

(g) Nonagon

A nonagon has n = 9 sides, therefore, each interior angle of a nonagon is found by substituting n = 9 into equation (ii)

k = 180(9 - 1) ÷ 9

k = 180(8) ÷ 9

k = 180 x 8 ÷ 9

k = 1440 ÷ 9

k = 160°

Convert to grade.

Remember that;

90° = 100 grades

∴ 160° = [tex]\frac{160 * 100}{90}[/tex] grades

⇒ 160° = 177.78 grades.

Therefore, each interior angles of a regular nonagon is 160° or 177.78 grades.

(h) Decagon

A decagon has n = 10 sides, therefore, each interior angle of a decagon is found by substituting n = 10 into equation (ii)

k = 180(10 - 1) ÷ 10

k = 180(9) ÷ 10

k = 180 x 9 ÷ 10

k = 1620 ÷ 10

k = 162°

Convert to grade.

Remember that;

90° = 100 grades

∴ 162° = [tex]\frac{162 * 100}{90}[/tex] grades

⇒ 162° = 180 grades.

Therefore, each interior angles of a regular decagon is 162° or 180 grades.

Other Questions
3. How the agricultural revolution helped to bring about the Industrial Revolution. What is the fishermans motivation for asking the genius if he really was in the vase? If the distance between the source of sound and observer is reduced to one half, thenthe intensity of sound will become 4 NH3 + 7 O2 4 NO2 + 6 H2O What is the mole ratio between oxygen and nitrogen dioxide? 7 moles to 6 moles 4 moles to 6 moles 7 moles to 4 moles 4 moles to 4 moles Match each item to the time it best represents.1. humans began using stone tools Industrial Revolution 2. birth rates declined, and the average life expectancy increased 1999 3. the world population totaled six billion people Paleolithic Era 4. the annual population growth rate reached its peak late 1960s Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69 with theground. How high up the wall does the ladder reach? Round your answer to thenearest hundredth of a foot if necessary. Which of the following is a False statement about Self evaluation. What is the median of this data set? {22, 5, 9, 1, 7, 3) Enter your answer in the box median = A cube is intersected by a plane from the top edge of one face to the bottom edge of the opposite face as shown.What is the shape of the cross-section?squarerectangle that is not a squaretriangleparallelogram that is not a rectangle Which rhetorical appeal is used in the text, One of the worst cases was a young mother of two who was diagnosed with early stage skin cancer?logos, an appeal based on logicethos, an appeal based on the authors characterpathos, an appeal based on emotionno rhetorical appeal is used Simplify the following expression.29.718 - 29.63 Write a word description of the set.{1, 3, 5, 7, 9, 11, 13}The set of odd natural numbers is less than Which expression is equivalent to identify and explain one aspect of today's society that has its roots in societies of the past.i'd rly appreciate anyone's help asap, thanks in advance!! Find the length of AB.AO 1408 mBRound your answer to the nearest hundredth.B = [ ? ]m:) Julie's boss just gave her a new project with a deadline in one week. Julie views this as a challenge and works hard to finish the project on time. She's most likely experiencing what kind of stress? Segn Demcrito filsofo pre socrtico nos dice que el principio o Arj es el tomo, nos dice el orden de la naturaleza es Always believe something wonderful is about to happen. Explain this quote Please help whats the answer ?? I need _______ egg for this recipe but we're out?Fill in the blanks as appropriate