If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?

Answers

Answer 1
(2x - 3) - (x^2 + 3)

2x - 3 - x^2 + 3 Remove parentheses...

2x - 3 - x^2 - 3 Collect like terms and solve...

2x - 6 - x^2 Re-order terms...


ANSWER: -x^2 + 2x - 6



Answer 2

Answer:

the answer is  -x^2 + 2x - 6

Step-by-step explanation:


Related Questions

Sin (7pie/6)= ????????????

Answers

Answer: B -1/2

Step-by-step explanation

What is the distance between the coordinates (-6,5) and (-3, 2)? Round your

answer to the nearest tenth.

Answers

Answer:

The distance between the points is approximately 4.2 units.

Step-by-step explanation:

Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:

[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]

[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]

[tex]\sqrt{3^{2} + -3^{2} }[/tex]

[tex]\sqrt{9 + 9}[/tex]

[tex]\sqrt{18}[/tex]

≈ 4.2 units

Hope this helps :) Feel free to ask me any questions!

Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?

Answers

Answer:

29

Step-by-step explanation:

2s-15=h

2(22)-15=h

44-15=h

29=h

Answer:

29

Step-by-step explanation:

22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.

Simplify 8a + 4a + 2

Answers

Answer:

12a+2

Step-by-step explanation:

You can add 8a and 4a together to get 12a

12a+2


Add 8a+4a then put the +2 back which would be 12a+2 (sorry if this doesn’t make really sense Idk how to explain it lol)

.A linear equation in one variable has

Only one solution
Two solutions
More than two solutions
No solution

Answers

Answer:

Only One Solution

Step-by-step explanation:

Every linear equation that is a conditional equation has one solution. However, not every linear equation in one variable has a single solution. There are two other cases: no solution and the solution set of all real numbers. resulting value on the right side will always be one greater than the value on the left side.

What is the volume of the solid figure? A rectangular prism on top of another longer rectangular prism. The top prism measures 5 inches by 5 inches by 5 inches. The bottom prism measures 20 inches by 5 inches by 5 inches. 625 in3 750 in3 800 in3 1,250 in3

Answers

Answer:

A

Step-by-step explanation:

V=5^(3)+20*5*5

V=125+500

V=625 in^3

Answer:

it is c

Step-by-step explanation:

Can someone help me on these two questions?

Answers

Answer:

1. 88 degrees

2. x=8

Step-by-step explanation:

1.

In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:

x+125+120+95+120+172=720

x=88

2.

Since opposite sides of a parallelogram are equal:

2x=x+8

x=3x-16

Let's go with the first equation.

2x=x+8

Subtract x from both sides:

x=8

You can plug this into the second equation to ensure it works:

3(8)-16=8

24-16=8

8=8

Hope this helps!

Answer:

1. 88

2. 48

Step-by-step explanation:

1. The total of the inner angles of the hexagon is 720

95+120+120+172+125=632

720-632=88

2. 2x=x+8

x=8

If we put all the x's in place and add them, the result is: 48

Assume the sample below is a perfectly random sample of students at a school. How much greater is the mean of the
reported heights at the school than the mean of the actual, measured heights at the school?
Number Reported height Measured Height Difference
Description
1
61
62
-1
Under reported
2
68
68
0
Accurately reported
3
57.5
56.5
1
Over reported
4
48.5
47
1.5
Over reported
07
75
72
3
Over reported
6
65
65
O
Accurately reported
7
80
78
2
Over reported
8
68
67
1
Over reported
9
69
69.5
-0.5
Under reported
10
63
62.5
0.5
Over reported​

Answers

Answer:

0.75

Step-by-step explanation:

The table is not well presented (See Attachment)

There are at least two approaches to this question

Method 1:  

Steps

1. Calculate the mean of reported heights

Mean of reported heights = (61+68+57.5+48.5+75+65+80+68+69+63)/10

Mean of reported heights = 655/10

Mean of reported heights = 65.5

2. Calculate the mean of measured heights

Mean of measured heights = (62 + 68 + 56.5 + 47 + 72 + 65 + 78 + 67 + 69.5 + 62.5)/10

Mean of measured heights = 647.5/10

Mean of measured heights = 64.75

3. Get their difference

Difference = Mean of reported heights - Mean of measured heights

Difference = 65.5 - 64.75

Difference = 0,75

Method 2: Calculate the mean of their difference

Mean of difference = Sum of difference / Number of observations

Mean of difference = (-1 + 0 + 1 + 1.5 + 3 + 0 + 2 + 1 – 0.5 + 0.5)/10

Mean of difference = 7.5/10

Mean of difference = 0.75

Note that in both cases, the result is 0,75.

Hence, the reported heights at the school is 0.75 greater than the actual measured height

It was hard to do because you wrote it out next time try attaching the file but if my calculations are correct its C.)0.75

Jasmine, Georgia, and Olivia are in boats on a lake. Their
relative locations are shown in the diagram.
What is the distance from Georgia's boat to Olivia's boat?
Enter your answer in the box. Round your final answer to the
nearest whole number.
ft

Answers

Answer:

52 feet

Step-by-step explanation:

Took the test

Using the ruler postulate, find the distance between –9 and 2.

Answers

Answer:

11 units

Step-by-step explanation:

According to ruler postulate, if there are two points A with coordinate a

and point B with coordinate b, \

then distance ab is given by subtracting coordinate in any order i.e it can be (a-b) or (b-a) and then take the absolute value value of it.

mathematically it can be represented as

AB = |a-b| or |b-a|

_________________________________________

in the given problem points are -9 and 2

thus distance

distance between –9 and 2  = |-9 -2| = |-11|  = 11

absolute value of -11 is 11

alternatively, distance can be calculated as

distance between –9 and 2  = |2 -(-9) | = |2 + 9 | = |-11|  = 11

pls answer as quick as possible for brainliest!!

Answers

Answer:

15

Step-by-step explanation:

(2 1/2 + 1 1/2 + 3 1/2) = 7 1/2 * 2 = 15

Answer:

15

Step-by-step explanation:

2.5+1.5+3.5 = 7.5

7.5*2 = 15

Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in​ slope-intercept form, if possible.
(8,1); y=-8x-1

Answers

Answer:

y= ⅛x

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the gradient and c is the y-intercept.

Let's find the value of m first.

The product if the gradients of 2 perpendicular lines is -1.

Gradient of given line= -8

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

y=⅛x +c

To find the value of c, substitute a coordinate.

When x=8, y=1,

1= ⅛(8) +c

1= 1 +c

c= 1 -1

c= 0

Thus, the equation if the line is y= ⅛x.

Can u Please help me.

Answers

The answer is -3°c because 17-20= -3

Answer:

-3 degrees celcius

Step-by-step explanation:

To find the temperature at midnight, simply subtract the temperature change from the temperature at noon:

17 - 20 = -3

Therefore, it was -3 degrees at midnight.

Hope this helps :) Feel free to ask any questions!

please help asap C: :D

Answers

Answer:

$997

Step-by-step explanation:

Base Salary: $150 (given)

Additional information on everything he sells: 14%

He sells $6050.00 last week, so then his commision would be 14% of the $6050.

x = 150 + ( 0.14 x 6050 )  

OR

14/100 x 6050

would equal: $847

Total pay for last week would equal base salary and the additional pay.

$150 + $847

= $997

His total pay for last week would equal $997.

Hope helps! - Stargaze

14 weeks is expressed as a percentage of 50 weeks is?

Answers

Answer:

28%

Step-by-step explanation:

Fraction= 14 out of 50 weeks

To find percentage multiply the fraction by 100

14/50 * 100

= 1400/50

= 28 percent

Answer:

28%

Step-by-step explanation:

50 ws ................ 100%

14 ws ......................x%

x = 14*100/50 = 14*2 = 28%

The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?

Answers

Hey there! I'm happy to help!

The perimeter is all of the sides of a shape added up.

Since all of the sides on a square are the same and we know one side, we just multiply it by four.

2.59(4)=10.36

Therefore, the patio is about 10.56 meters.

I hope that this helps! :D

Answer:

The best estimate is 10. Trust me, I did this assessment too.

Step-by-step explanation:

2.59 x 4 = 10.36. So it's 10.

A calculator that is regularly priced $20 is on
sale for 40% off. What is the sale price of the
calculator?

Answers

Answer:

$12.00

Step-by-step explanation:

a product that normally costs $20 with a 40 percent discount will cost you $12.00, and you saved $8.00.

Your mom bought a new couch on sale for $840. If the sale was 30%, what was the Original Price?

Answers

Answer:

1200$

Step-by-step explanation:

(840/(100-30))*100

(840/70)*100

12*100

1200

A probability experiment consists of rolling a fair 16 sided die. Find the probability of the event below, rolling a 12

Answers

Answer:

1/6

Step-by-step explanation:

I think that is the answer if not sorry, have a nice day!

Pls pick me as brainliest!

Which statement is not true about these triangles?​

Answers

Answer:

the answer is the second option.

Step-by-step explanation:

Answer:

the second option

Step-by-step explanation:

∠S corresponds to ∠V.

Which is the equation in point slope form for the line that passes through (3,7) and is perpendicular to 3x-5y=8?

Answers

Answer:

Step-by-step explanation:

eq. of line is 3x-5y=8

5y=3x-8

y=3/5 x-8/5

its slope=3/5

slope of line perpendicular to it=-5/3

eq of line with slope -5/3 and passing through (3,7) is

y-7=-5/3(x-3)

or 3y-21=-5x+15

or 5x+3y=15+21

or 5x+3y=36

Find the sum of the first 31 terms of the following series, to the nearest integer. 5 , 14 , 23 , . . .

Answers

Answer:

Step-by-step explanation:

a1 = 5

common difference = 2nd term - 1st term= 14 -5 = 9

n = 31

[tex]S_{n}=\frac{n}{2}[2a+(n-1)d]\\\\S_{31}=\frac{31}{2}[2*5+30*9]\\\\=\frac{31}{2}[10+270]\\\\=\frac{31}{2}*280\\\\=31*140\\\\=4340[/tex]

Answer:

i took the tests and the answer is d

Solve all these math questions and brainliest is yours! First come first valid answer will be brainliest. Include the measurements like cm, ft, m, etc

Answers

Answer:

Step-by-step explanation:

trapezoid

A=(B1+B2)/2*h

kite

A=(pq)/2

1)((3+5)/2)*4

(4/2)*4

2*4

8 cm^2

2)

(10*10)/2

100/2

50 cm^2

3)

(14*8)/2

112/2

56m^2

4)

((10+15)/2)*6

(25/2)*6

25*3

75in^2

5)

(14*16)/2

224/2

112 ft^2

6)

((24+13)/2)*9

(37/2)*9

18.5*9

166.5 mm^2

7)

((36+60)/2)*30

(96/2)*30

96*15

1440 in^2

8)

(12*12)/2

144/2

72cm^2

9)

28=(14*2x)/2

28=7x

x=4m

10)

((8+4)/2)*4

(12/2)*4

6*4

24 ft^2

Determine which equation below can be solved to find the value of Angle
A. *

Answers

Answer:

i believe the correct answer is x+90+63=180

Step-by-step explanation:

Answer:

x + 90 + 63 = 180

Step-by-step explanation:

We do not have the value for angle B so we have to assume that B plus the 45 is 90. using this info we can see that A + 90 + 63 is equal to the line, which is 180(as all lines are). We can then get the equation x + 90 + 63 = 180

Identify the parent function that can be used to graph the function f(x)=-6[1/2x+3]+2/3

Answers

Answer:

B

Step-by-step explanation:

What are the next two numbers in this pattern?
3,-9, 27, -81, ...

A 243, -729
B -135, 189
C-243, 729
D 135, -189



I really need your help if I get this right I’ll pass

Answers

The answer is A. 243, -729

The pattern of this is that they multiply each number by -3.

3*-3=-9
-9*-3=26
27*-3=-81

So you have to multiply -81 by -3. Then multiply that by -3 to get the second number

-81*-3=243
243*-3=-729

Which inequality is true?


5(−2)>10

3(13)<39

11+(−3)<9

5 + 12>18

Answers

Answer: 11 + (-3) < 9 is true.

Step-by-step explanation:

When there is a + in front of an expression in parentheses , the expression remains the same.

11 - 3 < 9

Now subtract.

8 < 9

Given that: 2√2−√5 / 3√2+2√5 = =

Answers

Answer:

7√10/2 - 11

Step-by-step explanation:

(2√2−√5) / (3√2+2√5)=

(3√2-2√5)(2√2−√5)/(3√2+2√5)(3√2+-2√5)=

(12+10-3√10-4√10)/(18-20)=

(22-7√10)/-2= 7√10/2 - 11

If y varies directly with x and y = 20 when x = 2,
write the equation that represents this direct variation
relationship
Enter your answer in equation form without spaces.
Example: y = ?x

Answers

Answer: its 20 x 2

Step-by-step explanation: hope it helps idk if it right but did my best..

To make 1 batch of vegetable soup, Sam needs 16 ounces of water and 8 ounces of vegetables. How does the amount of water compare to the amount of vegetables?

Answers

The amount of water is double in comparison to the amount of vegetables.

Answer:

1x16

Ste divided by 16 p-by-step explanation:

Other Questions
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