Write your answer as a polynomial or a rational fraction in simplest form ​

Write Your Answer As A Polynomial Or A Rational Fraction In Simplest Form

Answers

Answer 1

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x


Related Questions

Solve the system of equations using substitution.
y = x + 6
y = –2x – 3

Answers

Answer:

x = -3

y= 3

Step-by-step explanation:

y =  x + 6 -----------------------(I)

y = -2x - 3 ---------------------(II)

Substitute y =x +6 in equation (II)

x + 6  = -2x - 3

Add 2x to both sides

x + 2x +6 = -3

Combine like terms

3x + 6 = - 3

Subtract 6 from both sides

3x = - 3 - 6

3x = -9

Divide both sides by 3

x = -9/3

x = -3

Plug in s = -3 in equation (I)

y = -3 + 6

y = 3

hope this helps! feel free to clarify

Nick works part-time at a bookstore. His pay varies directly with the number of hours worked. In one week, he earned $120 for 8 hours of work.

a) Define two variables for this relation.



b) Describe the rate of change in words.


c) Determine an equation to represent the relation:


d) Use the equation to determine how many hours Nick must work to earn $345

Answers

Answer:

23 hoiurs

Step-by-step explanation:

Given data

a. The two variables are

1. Number of hours worked

2. The amount earned

b. The rate is given as

=120/8

=$15 per hour

c. The equation is given as

rate=Amount earned/ number of hours worked

15= 345/hours

make hours subject of the formula we have

hours= 345/15

hours= 23 hours

Hence he must work for 23 hours

The air in poultry-processing plants often contains fungus spores. Inadequate ventilation can affect the health of the workers. The problem is most serious during the summer. To measure the presence of spores, air samples are pumped to an agar plate and "colony-forming units (CFUs)" are counted after an incubation period. Here are data from two locations in a plant that processes 37,000 turkeys per day, taken on four days in the summer. The units are CFUs per cubic meter of air.

Day Day 2 Day 3 Day 4

Kill room 3175 2526 1763 1090

Processing 529 141 362 224

The spore count is clearly higher in the kill room. Give sample means and a 99% confidence interval to estimate how much higher the spore count is in the kill room?

Answers

Answer:

-611.031 < μd < 4260.031

Step-by-step explanation:

This is a matched pair design :

______Day1 Day 2 Day 3 Day 4

x1 Kill room 3175 2526 1763 1090

x2 Processing 529 141 362 224

First we obtain the difference, d ;

d = (x1 - x2)

d = 2646, 2385, 1401, 866

The mean difference, dbar = Σd/ n = 7298 / 4 = 1824.5

The standard deviation of difference,

Sd = √(Σx-dbar)²

Using calculator, Sd = 834.086

The 99% confidence interval :

Mean ± margin of error

dbar ± margin of error

Margin of Error = Tcritical * Sd/√n

Tcritical at 99%, df = n-1 ; df = 4-1 = 3

Tcritical = 5.84

Margin of Error = 5.84 * 834.086/√4 = 2435.53112

Confidence interval = 1824.5 ± 2435.53112

(-611.031 ; 4260.031)

Which of the following is the number of sides for a regular polygon that will
not form a regular tessellation?

A. 6
B. 4
C. 7
D. 3

Answers

Answer:

A

Step-by-step explanation:

A

The number of sides for a regular polygon that will not form a regular tessellation is 7. The correct option is C.

What is a polygon?

A polygon is a planar figure characterised by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.

A tessellation or tiling is the seamless covering of a surface, frequently a plane, with one or more geometric shapes, known as tiles. One regular polygon can be used to create a single regular tessellation. Two or more regular polygons are used in a semi-regular tessellation.

Triangles, squares, and hexagons are the only three regular tessellations.

Now, the name of the polygon having 3, 4, and 6 sides is triangle, square, and Hexagon. Therefore, the only regular polygon that will not form a regular tessellation is heptagon, which has 7 sides.

Hence, the number of sides for a regular polygon that will not form a regular tessellation is 7.

Learn more about Polygon here:

https://brainly.com/question/10441863

#SPJ2

Solve the equation 5x + 2(2x -23) = -154

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

5x+2(2x-23)=-154

5x+4x-46=-154

9x-46=-154

9x=-154+46

9x=-108

x=[tex]\sf{\dfrac{-108}{9} }[/tex]

x=-12

Answer:

x = -12

Step-by-step explanation:

5x + 2(2x - 23) = -154

Distribute;

5x + 4x - 46 = -154

Collect like terms

9x - 46 = -154

Add 46 to both sides;

9x = -108

Divide both sides by 9

x = -12

would appreciate the help please!

Answers

Answer:

I think SAS is the correct Ans

Which expression is equivalent to

Answers

Answer:

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

Step-by-step explanation:

[tex]\frac{x^2 + x -2}{x^2 -2x+1}[/tex] =

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

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

Instructions: Find the measure of the indicated angle to the nearest degree.
29 and 17

Answers

Answer:

30º

Step-by-step explanation:

because it is a right triangle, we can use trig functions to solve

tan^{-1}=17/29=30.379

Plz help out will give brainliest

Answers

Answer:

10 degrees = C

Step-by-step explanation:

Total internal angles add to 180 degrees.

Add all values of c and set equal to 180.

18c = 180.

c=10

Answer:

c = 10

Step-by-step explanation:

3c + 6c + 9c = 180 degrees. Every triangle has 180 degrees.

18c = 180                Combine the like terms. Divide by 18

18c/18 = 180/18

c = 10

its given that s=n(a+c)/2


Express c in terms of s, n and a ​

Answers

This is the step by step solutions, hope u understand

Will it matter if I don’t get accelerated pre algebra in 7th grade and get into normal pre algebra? Will it make me less likely to get into top colleges?

Answers

Answer:

Maybe, there is a chance, but I don't know for sure.

It might matter, but I wouldn't worry or stress about it too much.

My only advice to you is do not procrastinate and if you need help don't be afraid to ask.

Answer:

It matters but not like you think.

GPA, extracurricular activities, and SAT/ACT are the biggies. Truthfully it won't change a thing if you took accelerated pre-algebra versus normal. In fact, spoiler alert, the SAT/ACT (I'm assuming your american) will matter more than your courses ever did. I took two years of college physics in highschool and i made more off my SAT. Not only that, but an A in an easy class looks better than a C in a hard one on transcripts.

My advise is slow down, relax, and learn it well. Better to learn the concept fully in normal so that you can apply it, than half learn it in advance and struggle in future applications. After all, math ALWAYS builds. Take it slow, take it easy.

I would recommend talking to a school guidance counselor about your academic stress. Im sure their professional insight will help put you at ease. It may also help to get you going in the right direction so that you achieve your goals.

Good luck. Enjoy life

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

[tex]x=opposite\: side\: of \:22[/tex]

[tex]16=hypotenese[/tex]

[tex]sin22=opp/hyp[/tex]

[tex]sin22=\frac{x}{16}[/tex]

[tex]\Longrightarrow x=16\times sin22[/tex]

[tex]x=5.99[/tex]

[tex]x=6.0[/tex]

[tex]OAmalOHopeO[/tex]

What is the vertex of the function f(x) = -|x + 7| − 4?

A.
(-7,-4)
B.
(7,4)
C.
(-7,4)
D.
(7,-4)

Answers

Answer:

it would be

D.

(7,-4)

Mark me as brainliest pleases

Answer:

it would be A (-7,-4)

Step-by-step explanation:

7. If the supplement of an angle is 69, then find its complement.​

Answers

Answer:

no solution

Step-by-step explanation:

Supplementary angles add to 180

Let x be the supplement

x+69 = 180

x = 180-69

x =111

The complement of an angle means they add to 90

111+y = 90

y = 90-111

y =-21

But an angle cannot be negative so there is no solution

Answer:

21 degrees.

Step-by-step explanation:

To find the complementary angle you have to subtract the given angle from 90.

so,

90 - 69 = 21.

Extra info: if you need to find the supplementary angle you need to subtract the given angle from 180.

PLEASE HELP!

Record the lengths of the sides of ΔABC and ΔADE.

I would appreciate it.

Answers

AB: 20

BC: 12

AC: 16

AD: 10

DE: 6

AE: 8

A particular strain of bacteria triples in population every 45 minutes Assuming you start with 50 bacteria in a Petri dish how many bacteria will there be in 4.5 hours

Answers

Answer:

4.5 hours in minutes = 270

Every 45 minutes, bacteria triples

You start with 50

Divide 270 (total time) by 45 (every time bacteria triples)

270/45 = 6

36,450 bacteria

Thank you guys for helping me !! Can you help me with this question ?

Answers

Answer:

(A). x² + y² - 4x + 6y - 3 = 0

Step-by-step explanation:

(x - 2)² + (y + 3)² = 4²

x² - 4x + 4 + y² + 6y + 9 - 16 = 0

x² + y² - 4x + 6y - 3 = 0

Integrate the following.[tex]\int\limits^a_b {sin(x)} \, dx[/tex]

Answers

Answer: -cos(a)+cos(b)

Step-by-step explanation:

To integrate is the same as saying to find the antiderivative.

[tex]\int\limits^a_b {sin(x)} \, dx[/tex]         [antiderivative of sinx is -cosx]

[tex]-cos(x)|_b^a[/tex]           [include boundaries]

[tex]-cos(a)+cos(b)[/tex]

Therefore, the integral would be -cos(a)+cos(b).

simplify m√p + n√p - √p

Answers

Answer:

[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p}(m + n - 1) }}[/tex]

{(5,2), (-2,4), (2, -7)}

Domain:

Range:

Answers

Answer:

Step-by-step explanation:

The domain are all the x values in order, no repeats allowed:

D = {-2, 2, 5}

Same thing for the range, except these are the y values:

R = {-7, 2, 4}

The coordinates stated this way don't match up to what they are in coordinate form, but they don't have to.

Answer:

Domain : {-2,2,5}

Range:{ -7,2,4}

Step-by-step explanation:

The domain is the inputs

Domain : {-2,2,5}

The range is the outputs

Range:{ -7,2,4}

The+pie+chart+shows+the+age+distribution+in+a+village+of+120+a)+how+many+people+are+older+than+60+=+120+B)+What+percentage+of+the+villagers+are+under+25?+I+KNOW+A+I+NEED+TO+KNOW+B

Answers

Answer:

if the village is of 120 people and  120 people are over the age of 60 then 0 people are under the age of 25.

Step-by-step explanation:

99999+999=????????????????????????????

Answers

Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+   999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

the price of a box of cereal incresed by 45% if the original price of the box of cereal was 5$ what is the new price?

Answers

Answer: 7.25

Step-by-step explanation:

Please help 50 points! ​

Answers

d=10

Answer:

Solution given:

[tex]\sqrt{25+3x}=d+2x[/tex]

squaring both side

25+3x=(d+2x)²

when x=-3

25+3*-3=(d+2*-3)²

25-9=(d-6)²

16=(d-6)²

[tex]\sqrt{16}=d-6[/tex]

4=d-6

d=4-6

d=10

Answer:

d = 6

Step-by-step explanation:

[tex] \sqrt{25 + 3( - 3)} = d + 2( - 3) \\ 4 = d - 6 \\ d = 10[/tex]

hopefully this makes sense

:)

Please Solve:
x^2-4x-5=0

Answers

The quadratic equation answer is: x^1 = -1; x^2=5 and the number of solutions are 2 real solutions. Hope this helps :)

If x=(p-3) and y=(p+3),show that xy+9=psquare​

Answers

Step-by-step explanation:

Answer with explanation is in the attachment

Hope it is helpful to you

Please HELP! ):
The measure of an interior angle of a regular polygon is eight times the measure of one of its exterior angles. How many sides does the polygon have?

Answers

A polygon has 18 sides :)

find value of the variable

Answers

Answer:

x=10

Step-by-step explanation:

16/24=(x-2)/12

or, 16/2=x-2

or, 8=x-2

or, x-2=8

or, x=10

Answered by GAUTHMATH

PLEASE HELP 30 POINTS

Find the value of x in the triangle below.
804
155
55°
o
75
80°
Ο Ο
85

Answers

Answer:

75°

Step-by-step explanation:

First, we need to know that the interior angle sum of a triangle is always 180°.

Now, to find the missing angle aside from x, we need to complete the sum 180-155=25, seeing 155° lies on a straight line. Remembering the interior angle sum of a triangle is always 180°, it is thus clear that 25+80+x=180. If we complete this equation, x=75.

Hope this helps!

PLEASE HELP !!!!!!!!!!!!!

Answers

Answer:

the 3rd won for sure

Step-by-step explanation:

hope I helped

Answer:

C

Step-by-step explanation:

The coordinates are all in (x, y) form.

X is how left or right

y is how tall.

If you just look for the individual coordinates given, you will see that all of the Coordinates in C are on the graph.

I hope this helps!

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