For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)

Answers

Answer 1

Answer:

-x² + 3x + 7

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7

Answer 2

The value of (f - g)(x) is -x² + 3x + 7.

What is Function?

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

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Related Questions

a woman bought some oranges and 30% of them were bad if there were 60 bad oranges how many oranges did she buy​

Answers

Answer:

if 60 is 30%, then add up to 100%

60+60+60= 180

but we still have 10% left so divide 30% by 3 to get 10% then add

30% (or 60) /3 is 20

add 20 to 180

boom you get 200 she bought 200 oranges i wonder how shes gonna fit them in her car that's a lot of oranges

Answer:

200

Step-by-step explanation:

To calculate 30 percent of a number, we multiply the number by 30 and then divide by 100. Therefore, we can make the following function:

30 ∗ x÷100

 =  60  

To solve for x, we first multiply both sides by 100 and then divide both sides by 30 to get the x = 200. Therefore, the answer to 60 is 30 percent of what number? is:

200

PLEASE HELP ( look at ss to answer )

Answers

The direct proportion is shown by table (B)

What is direct proportion?

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Here the second table shows the direct proportion relation.

This is because the ratio of x/y remain same.

4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1

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Which parent function is represented by the graph?

Answers

Answer:

Linear

Step-by-step explanation:

pretty self explanatory

Answer:

The linear parent function Step-by-step

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable.

Hope your having a great day!!

If 1-cosA = 1/2 , Then find the value of sinA.

Answers

Step-by-step explanation:

Given :

1- cosA = 1/2

or, CosA = 1 -1/2

Therefore ; CosA = 1/2 = b/h

According to the Pythagoras theorem,

P = root under h^2 - b^2

= root under (2)^2 - (1)^2

= root under 4 -1

= root 3

Again,

SinA = P/h

= root 3 / 2

-5
-3-2
5
4
3
2
4
-2
بله با
-3
-4
-5
y
1 2 3 4
5
x
The distance between the two points pictured is d =
Use the distance formula to find n.
d = √(x2-x₁)² + (V₂-V₁)²
n =

Answers

Answer:

  n = 61

Step-by-step explanation:

The subscripted values of x and y in the formula refer to the coordinates of the points:

  [tex](x_1,y_1)=(-3,-2)\qquad(x_2,y_2)=(2,4)[/tex]

Substitute the given values and do the arithmetic.

__

Using these values in the formula gives ...

  [tex]d=\sqrt{n}=\sqrt{(2-(-3))^2+(4-(-2))^2}=\sqrt{5^2+6^2}=\sqrt{25+36}\\\\d=\sqrt{n}=\sqrt{61}\\\\\boxed{n=61}[/tex]

(2,4)(-3,-2)

Distance

√(2+3)²+(4+2)²√5²+6²√25+36√61

√n=√61

n=61

Someone please help with this ::

Answers

Answer:

pi/6

Step-by-step explanation:

honestly just do it in a calculator that is set to radians.

Graph the result of the following transformation on f(x)​

Answers

The graph would be the normal parent function of f(x) but all points would be 6 units up.

There's an upward vertical shift of 6. To graph this, you need to graph the function f(x) and then add 6 units to all the y values.

A man walks 4km from point x due east of point Y. The bearing of a flag point x and y are due N80°W and N40°E respectively. Find the distance of the flag pole from point y

Answers

The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule shows the relationship between the sides and angles of a triangle.

The triangle formed has angles A = 10°, B = 50°, C = 120°, c = 4 km, a = distance from point y.

Hence:

a / sinA = c / sinC

a / sin(10) = 4 / sin(120)

a = 0.8 km

The distance of the flag pole from point Y is 0.8 km and it is placed at an bearing of N40°E

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Mixed Practice! Find the value of each variable

I need 16, 17 and 18

Answers

Answer:

Step-by-step explanation:

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

C and E, evaluate the numbers outside of the parenthesis to the inside

Answer:

The answer is option 3 and option 4

Step-by-step explanation:

Identify two angles that are marked
congruent to each other on the diagram
below. (Diagram is not to scale.)

Answers

Answer:

Angles G and H are congruent.

Step-by-step explanation:

The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.

800 grams =
pounds

700 grams =
pounds

Answers

The weight of the full steel bead tire in pounds is 1.76 pounds

The weight of the lighter steel bead tire in pounds is 1.54 pounds.

What are the weights of the tires?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

The weight of the full steel bead tire in pounds = 800 / 453.592 = 1.76

The weight of the lighter steel bead tire in pounds = 700 / 453.592 = 1.54

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The function where f (1) = 0

Answers

Answer:

ln(x)

Step-by-step explanation:

ln(x) can be rewritten as e^ln(x)=x. so if e^ln(1)=1 the exponent is just 0. because anything to the power of 0 is 1 according to the Zero Exponent Rule

What’s the answer? I don’t know how I got it wrong

Answers

Answer:

C. Line PQ

Step-by-step explanation:

Tangent means touching, not crossing.

find the odds against rolling a number larger than 1 on a die

Answers

Answer:

.833 (83.3%)

Step-by-step explanation:

There are 6 numbers on a normal die. 5 of them are larger than 1. The odds would be 5/6

Find the area for a triangle that has a base of 24 inches and a height of 4 inches. 96 in 2 48 in 2 cannot be determined 28 in 2

Answers

Answer:

48 in²

Step-by-step explanation:

triangle = bh/2

triangle = 24 x 4 / 2

triangle = 48 in²

18-(7+3)-1 simplified

Answers

Answer:

18-10-1

7

Step-by-step explanation:

please mark me as brainlest

Answer:

18-7+3-1

18-10-1

18-11

+7 or 7

Step-by-step explanation:

we have first done of bracket

then as we know minus and minus is equal to plus

then we have done our solution

thank you

tony invest 2000 at a 4.5 percent rate.​

Answers

Answer:

$2,999

Step-by-step explanation:

A = P(1 + r) ^ tA = 2000(1 + .045) ^ 9A ≈ 2999

Clare has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups for flour.

Which of these equations represent the relationship between c and f ?

A. c = 7/3f
B. c = 3/16f
C. c = 16/3f
D. c = 3/7f

Answers

The correct answer is option A which is the equations which represent relationship  between c and f is c = 7 / 3f.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

Given that:-

Clare has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups for flour.

From the given data we can see that the amount of flour required is [tex]9\dfrac{1}{3}\[/tex] Cups or [tex]\dfrac{28}{3}[/tex] Cups for making 4 cakes.

So the expression will be written as:-

[tex]9\dfrac{1}{3}f = 4c[/tex]

[tex]\dfrac{28}{3\\}f = 4c[/tex]

[tex]c = \dfrac{28}{3\times 4}f[/tex]

c = [tex]\dfrac{7}{3}[/tex]f

Therefore the correct answer is option A which is the equation that represents the relationship between c and f is c = 7 / 3f.

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The starting salary for a particular job is 1.2 million per annum. The salary increases each year by 75000 to a maximum of 1.5million. In which year is the maximum salary reached...... How much money would the person earn in that time

Answers

The maximum salary reached in 5th month.

What is Arithmetic Progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant

For the first year, salary  = 1,200,000

For the second year, salary

= 1,200,000 + 75,000 = 1,275,000

For the last year, salary  = 1,500,000

We get the AP as

1,200,000,  1,275,000, .... ,  1,500,000

a= 1,200,000  and d = 75000

Now using

L = a + (n - 1)d

1,500,000 = 1,200,000 + (n-1) 75,000

300,000 = 75,000(n-1)

300000/75000= n-1

4= n-1

n= 5

Hence, in the 5th year the maximum salary will be reached.

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Which is the equation of a line that has a slope of 1/2and passes through point (2, -3)?

Answers

Answer:

y = 1/2 x - 4

Step-by-step explanation:

point slope form would be

( y - - 3) = 1/2 (x-2)       you can re-arrange as

y = 1/2x -4

What is the slope of a line that is perpendicular to the line y = x 4? the slope of the line is .

Answers

Answer:-1/4

Step-by-step explanation:

Take the negative of the reciprocal for perpendicular lines. In the case of no slope (y=number) replace y with x

-5/7 x 1/5

please help

Answers

-5/7 x 1/5

-5 x 1 = -5

7 x 5 = 35

-5/35 = -1/7

Happy to help :P

A university conducted a survey of 383 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. If a survey participant is selected at​ random, what is the probability that he or she is satisfied or a​ junior? *Round to 3 decimal places* ( I only need part d.)

Answers

Answer:

62/235 +95/383

Step-by-step explanation:

P(satisfied or junior)= P(satisfied participant that are junior) + P(junior participant)

P(satisfied or junior)= 62/235 + 95/383

P(satisfied or junior)= 46071/90005

Sterling silver is 92.5% pure silver. How many grams of a 90% silver alloy would you need in order to mix it with sterling silver to obtain 500 grams of a 91% silver alloy.

Answers

200 grams of sterling silver is needed to make the 91℅ alloy

An equation is mathematical expression that contains an equals symbol. Equations are contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.

given, x + y =500

The number of grams of pure silver in x plus the number of grams of pure silver in y is equal to the number of grams of pure silver in the 500 grams.

The pure silver is given in percentage forms.

Hence, 92.5% (x) + 90% (y) =91% (500)

Substitute y by 500−x in the last equation to write

92.5% (x) + 90% (500−x) =91% (500)

Simplify and solve

92.5x+45000−90x=45500

x=200 grams.

Hence, 200 grams of Sterling Silver is needed to make the 91% alloy.

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A 4-digit combination lock can be opened only if a correct combination of digits from 0-9 is chosen. Find the probability of guessing the correct combination if: none of the digits are repeated, any of the digits can be repeated, any of the digits can be repeated but the 3 and 8 are not in the combination.

Answers

The probabilities are as follows:-

if none of the digits is repeated 0.504If any of the digits can be repeated 1If any of the digits can be repeated but the 3 and 8 are not in the combination 0.24.What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

Total combinations are = 10⁴ = 10000

A) if none of the digits are repeated:-The combinations will be 10 x 9 x 8 x 7 = 5040

Probability =  5040 /  10000

Probaility = 0.504

B) If any of the digits can be repeated:- The combinations will be 10 x 10 x 10 x 10 = 10000

Probabilityy = 10000 / 10000 = 1

C )If any of the digits can be repeated but the 3 and 8 are not in the combination the combinations will be 7 x 7 x 7 x 7 = 2401

Probability = 2401 / 10000 = 0.24

Therefore if none of the digits is repeated 0.50.If any of the digits can be repeated 1.If any of the digits can be repeated but the 3 and 8 are not in the combination 0.24.

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The circle below is centered at the origin and has a radius of 7. What is its
equation?
A ²+2²=7
B. x²-y²=7
C. x²-²2²=49A
D. x² + y² = 49

Answers

Answer:

x² + y² = 49

Step-by-step explanation:

The equation for a circle is: x² + y² = r²

here, we know our circle's radius (r) to be 7

So, the equation for our circle is:                  {replace "r" with value}

x² + y² = 7²

which can be simplified to:

x² + y² = 49

hope this helps!! have a lovely day :)

Point-Slope Form
*See photo*

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.

[tex]y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?[/tex]

Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5


Put these types of angles in order, sta rting with the smallest angle size.
Smallest
Obtuse
Acute
Reflex
Right angle
Largest
<<<<
Update

Answers

Answer:

Acute, right angle, obtuse, reflex

Step-by-step explanation:

Answer:

Acute

right angle

obtuse

reflex angle

Step-by-step explanation:

PLS HELP ME OUT THANK YOU I’m studying for my mid-term!!

Answers

Answer:

∠ ABD = 20°

Step-by-step explanation:

since BD bisects ∠ ABC , then

∠ ABD = ∠ CBD ( substitute values )

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Then

∠ ABD = 3x - 1 = 3(7) - 1 = 21 - 1 = 20°

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