Given f(x) = 2x2 – 9x + 2, g(x) = 1 - 6x, and
h(x) = x2 – 4, find the following function:
(h+f)(x)

Answers

Answer 1

Answer:

[tex](h+f)(x)=3x^2-9x-2[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-9x+2\\g(x)=1-6x\\h(x)=x^2-4[/tex]

Looks like g(x) is irrelevant here.

You can expand this like so:

[tex](h+f)(x)\\h(x)+f(x)[/tex]

And even further:

[tex](x^2-4)+(2x^2-9x+2)[/tex]

Now, it's just a matter of simplifying.

[tex]x^2-4+2x^2-9x+2\\\\(x^2+2x^2)+(-9x)+(-4+2)\\\\3x^2-9x-2[/tex]

Therefore:

[tex](h+f)(x)=3x^2-9x-2[/tex]


Related Questions

Someone please help!!! Can’t find this one anywhere!!! please and thank you!!!!!!!

Answers

[tex]\dfrac{ 2+ 2i}{5+4i}\\\\\\=\dfrac{(2+2i)(5-4i)}{(5+4i)(5-4i)}\\\\\\=\dfrac{10-8i + 10i -8i^2}{5^2 -(4i)^2}\\\\\\=\dfrac{10+2i +8}{25+16}~~~~;[i^2 =-1]\\\\\\=\dfrac{18+2i}{41}\\\\\\=\dfrac{18}{41} + \dfrac{2}{41}i[/tex]

What is the solution of the system of equations shown below?

y = –x + 3
y = 4x – 2

Answers

Answer:

b

Step-by-step explanation:

[tex]y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)[/tex]

My question is in the attachment.

Answers

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using  Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

find the area of this shape

please

Answers

[tex] Area \:of\: rectangle = l \times b \\ = 3 \times 6 \\ = 18 {cm}^{2} [/tex][tex] Area\: of\: triangle = \frac{ab}{2} \\ = \frac{4 \times 6}{2} \\ = 12 {cm}^{2} [/tex]

Total area = 12 + 18 = 30cm²

Answer:

Area of the right angled triangle:-

= height × base ÷ 2

= 4 cm × 6 cm ÷ 2

= 4 cm × 3 cm

= 12 cm²

Area of the rectangle:-

= length × breadth

= 6 cm × 3 cm

= 18 cm²

Area of the figure:-

= 12 cm² + 18 cm²

= 30 cm²

What Is the answer to the two questions? 18 points! p.s. Brainliest

Answers

Answer:

Look at other page answer is there

Step-by-step explanation:

A
=
h
(
x
+
10
)
2


A
=
27



h
=
4


Work out the value of
x
.

Answers

X = -6.625
That is the answer to the question

Answer:

Step-by-step explanation:

A= h(x + 10)^2

27 = 4(x + 10)^2

(x + 10)^2 = 27/4

x + 10 = √27/2

x + 10 = 3√3/2

x = 3√3/2 - 10

= -7.40 to nearest hundredth.

Find three consecutive numbers if their sum is 3n.

Answers

Answer:

n-1, n, n+1

Step-by-step explanation:

n - 1    +   n    +   n +1  = 3n

The middle number is n, the first is n-1 and the third is n+1

Based on the information given, the three consecutive numbers will be n-1, n, and n+1.

It should be noted that consecutive numbers simply mean the numbers that follow themselves in a particular order.

In this case, the three consecutive numbers will be n-1, n, and n+1. Their addition will be:

= n - 1 + n + n + 1

= 3n

Learn more about numbers on:

https://brainly.com/question/24732604

please help me I do not understand it please

Answers

Answer:

x= 0

y= 2

explanation in the picture attached (tap the image to view it fully)

X = 0
Y = 2

Explanation

Ethan buys a new phone. It cost 75$. He will pay for this on his 1st bill.
His phone plan charges 0.06 dollars per minute on the phone.
'He has $90 to spend on his 1st bill. How long can he be on his phone to not go over his budget?

Answers

Answer:

250 minutes

Step-by-step explanation:

90-75=15

15/0.06=250

Answer:

x = 250 minutes

Step-by-step explanation:

The equation for this problem can be set up as follows-

Y = 0.06x+75

y = total phone bill

x= number of minutes on his phone

If Ethan can spend a total of $90 maximum, then y = 90

90 = 0.06x +75 solve for X to determine how many minutes he can be on his phone to reach a $90 total.

x = 250 minutes

Given the graph below, find the slope.

A. -3/2
B.3/2
C -2/3
D. 2/3

Answers

The answer is or the slope is D 2/3

GEOMETRY QUESTION NEED HELP ASAP 20 POINTS ​

Answers

Answer:

24 units

Step-by-step explanation:

I dont know if im right but hope this helps!

Mark sews at a constant rate. He stitches 5 pillows in 8 minutes. What is the constant of proportionality for the relation of pillow to hours.

Answers

Answer:

9

Step-by-step explanation:

9 pillows per hour i believe

How would you write 5 times a number Y?

Answers

Answer:

If you mean multiply I think

5y

Step-by-step explanation:

Please Help ASAP!!
Full work shown gets brainliest!!

Answers

Answer:

LR = 17

Step-by-step explanation:

RP is one section of LP (the whole section). Since R is the midpoint of the segment, RP = LR. Hope this helps!

Which function has only one x-intercept at (−6, 0)?

f(x) = x(x − 6)
f(x) = (x − 6)(x − 6)
f(x) = (x + 6)(x − 6)
f(x) = (x + 6)(x + 6)

Answers

Answer:

D: f(x) = (x+6)(x+6)

Step-by-step explanation:

The function has a multiplicity of 2, meaning the factor appears twice. So, x=-6 will be the only x-intercept.

who is piplup ???????? ~



Answers

That guy ^ He is Piplup

What are the steps to complete a dialation (in geometry) ?

Answers

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

Step-by-step explanation:

Make me brainlest.

The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.

Answers

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.3 + 0.6 - 0.8

P(A and B) = 0.1

Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.

Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.

The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.

Given that,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

We have to find,

Why are the events not mutually exclusive?

According to the question,

The probability for event A is 0.3, the probability for event B is 0.6,

and the probability of events A or B is 0.8.

P(A) = 0.3

P(B) = 0.8

and P(A∪B) = 0.8

When two events are said to be mutually exclusive when both the events cannot take place simultaneously.

Mutually exclusive events always undergo different outcomes.

These events are also known as disjoint events.

Mutually exclusive events prevent the second event to take place when the first event appears.

The probability of mutually exclusive events follows;

The probability of A and B together equals 0,

P(A and B) = 0

The probability of A or B equals the probability of A plus the probability of B,

P(A or B) = P(A) + P(B)

Therefore,

P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9

Here, 0.9 ≠ 0.8

Thus, the events are not mutually exclusive.

Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.

For more details about Probability refer to the link given below.

https://brainly.com/question/14071639

Which point would not be a solution to the system of linear inequalities shown below?

Answers

Answer:

C

Step-by-step explanation: looks right

dont  trust it though

7. A computer shop sold $356,291 worth of computers. It
sold $43,720 worth of accessories. The shop wants to sell a
total of $400,000 worth of computers and accessories. How
much more money do they need to make?

Answers

Answer:

none. they have already sold exactly $400,000 worth of computers and accessories

The number 46 is more than the number of situps Lyle can do. which of the following inequalities represent the number of situp Lyle can do?
A X< 46
B X>46
C X = 46
D X= 45

Answers

The answer is A since the tip of the triangle points to the smallest number

Answer:

a

Step-by-step explanation:

it says 46 is more than that cetain number

is the formula for percentages compound interest is P=I/N???
P stands for principle
I stands for compound interest
N stands for nothing

Answers

Answer an essay on nothing

Step-by-step explanation:

In philosophy there is a lot of emphasis on what exists. We call this ontology, which means, the study of being. What is less often examined is what does not exist.

It is understandable that we focus on what exists, as its effects are perhaps more visible. However, gaps or non-existence can also quite clearly have an impact on us in a number of ways. After all, death, often dreaded and feared, is merely the lack of existence in this world (unless you believe in ghosts). We are affected also by living people who are not there, objects that are not in our lives, and knowledge we never grasp.

Upon further contemplation, this seems quite odd and raises many questions. How can things that do not exist have such bearing upon our lives? Does nothing have a type of existence all of its own? And how do we start our inquiry into things we can’t interact with directly because they’re not there? When one opens a box, and exclaims “There is nothing inside it!”, is that different from a real emptiness or nothingness? Why is nothingness such a hard concept for philosophy to conceptualize?

Let us delve into our proposed box, and think inside it a little. When someone opens an empty box, they do not literally find it devoid of any sort of being at all, since there is still air, light, and possibly dust present. So the box is not truly empty. Rather, the word ‘empty’ here is used in conjunction with a prior assumption. Boxes were meant to hold things, not to just exist on their own. Inside they might have a present; an old family relic; a pizza; or maybe even another box. Since boxes have this purpose of containing things ascribed to them, there is always an expectation there will be something in a box. Therefore, this situation of nothingness arises from our expectations, or from our being accustomed. The same is true of statements such as “There is no one on this chair.” But if someone said, “There is no one on this blender”, they might get some odd looks. This is because a chair is understood as something that holds people, whereas a blender most likely not.

The same effect of expectation and corresponding absence arises with death. We do not often mourn people we only might have met; but we do mourn those we have known. This pain stems from expecting a presence and having none. Even people who have not experienced the presence of someone themselves can still feel their absence due to an expectation being confounded. Children who lose one or both of their parents early in life often feel that lack of being through the influence of the culturally usual idea of a family. Just as we have cultural notions about the box or chair, there is a standard idea of a nuclear family, containing two parents, and an absence can be noted even by those who have never known their parents.

This first type of nothingness I call ‘perceptive nothingness’. This nothingness is a negation of expectation: expecting something and being denied that expectation by reality. It is constructed by the individual human mind, frequently through comparison with a socially constructed concept.

Pure nothingness, on the other hand, does not contain anything at all: no air, no light, no dust. We cannot experience it with our senses, but we can conceive it with the mind. Possibly, this sort of absolute nothing might have existed before our universe sprang into being. Or can something not arise from nothing? In which case, pure nothing can never have existed.

If we can for a moment talk in terms of a place devoid of all being, this would contain nothing in its pure form. But that raises the question, Can a space contain nothing; or, if there is space, is that not a form of existence in itself?

This question brings to mind what’s so baffling about nothing: it cannot exist. If nothing existed, it would be something. So nothing, by definition, is not able to ‘be’.

Is absolute nothing possible, then? Perhaps not. Perhaps for example we need something to define nothing; and if there is something, then there is not absolutely nothing. What’s more, if there were truly nothing, it would be impossible to define it. The world would not be conscious of this nothingness. Only because there is a world filled with Being can we imagine a dull and empty one. Nothingness arises from Somethingness, then: without being to compare it to, nothingness has no existence. Once again, pure nothingness has shown itself to be negation.

Don't ask ;-;.......

Answers

Answer:

I believe the answer is 5

What is 10Million divided 10Million its a very hard question you know.

Answers

10 million divided by 10 million is 1.
Any number divided by itself is 1.
Answer:
It’s 1 lol. Yes it was so hard

9-3÷1/3+1
can you pleas solve this question
please hurry

Answers

Answer:

9

Step-by-step explanation:

pemdas

9-3÷1/3+1

division

3 and 1/3 becomes 1

we have 9-1+1

which simplifies to 9

if 1 orange cost 30 cents how many oranges can you buy for 10.50

Answers

Answer:

300!! I think...

Step-by-step explanation:

30 x 10 = 300

If you divide .30 by 10.50, you get 30. So, you can buy 30 oranges for a total of 10.50 when each orange is .30.

pls pls pls help!! will mark brainliest

Answers

The last one y>-4


I hope this right

Navya picked two different numbersfrom set of number cards. 300 is a multiple of both the numbers, Which of these CANNOT be a number she picked?

A. 45
B. 50
C. 60
D. 75

PLS ANSWER ASAP!!! ILL MAKE U BRAINLIEST♡​

Answers

Answer: Choice A)  45

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

Explanation:

Since 300 is a multiple of some number, this means that mystery number is a factor of 300.

So for instance, she could have picked 60 since 60*5 = 300. Or she could have picked 50 because 50*6 = 300.

To find out if you have a factor or not, divide the 300 over each answer choice. If you get a whole number, then it is a factor.

A) 300/45 = 6.67 approximatelyB) 300/50 = 6C) 300/60 = 5D) 300/75 = 4

Choices B through D lead to whole number results, which shows that the numbers 50, 60 and 75 are factors of 300. Flipping things around, this means that 300 is a multiple of 50, 60, and 75.

Only 45 is the one that isn't a factor of 300, which means that 300 is not a multiple of 45.

--------------

Another way to see this is to list out the multiples of 45

45, 90, 135, 180, 225, 270, 315, 360, ...

and we don't land on 300. The closest we get is 315.

In contrast, let's list out the multiples of 50

50, 100, 150, 200, 250, 300, 350, 400, ...

The value 300 is in the list, allowing us to cross off choice B. Choices C and D are similar.

HELP MEPLZPLZPXLZOSNSJSJSJSSJJS

Answers

Answer:

F. 30  G. 8

Step-by-step explanation:

F. 9 / 9 + 6 = 18 / BC

9 + 6 = 15

9 / 15 = 18 / BC

9 x 2 = 18

15 x 2 = 30

G. 9 / 6 = 12 / EC

9/6 reduces to 3/2

3/2 = 12/EC

3 x 4 = 12

2 x 4 = 8

HELPE PLEASEEE Skjjjzjdjdjjsjsjdjdjdjd

Answers

.b- 15 = -12

b = 15 - 12

b = 3

. x - 5 = 7

x = 7 + 5

x = 12

. r + 6 = 11

r = 11 - 6

r = 5

. v/15 = 15

v = 15 × 15

v = 225

Answer:

3. b = 3

5. x = 12

7. r = 5

9. v = -225

Step-by-step explanation:

3. b - 15 = -12  

To get b by itself we have to add 15 to both sides.

b = 15-12

b = 3

5. x-5 = 7

To get x by itself we have to add 5 to both sides.

x = 5+7

x = 12

7. r + 6 = 11

To get r by itself we have to subtract 6 to both sides.

r = 11-6

r = 5

9. [tex]\frac{v}{15}[/tex] = -15

To get v by itself we have to multiply [tex]\frac{v}{15}[/tex] by its opposite reciprocal which is [tex]\frac{15}{1}[/tex]

v = -15(15)

v = -225

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

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