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

If the measure of one angle of an isosceles triangle is 60degree then the triangle is

Answers

Answer:

i think If the measure of one angle of an isosceles triangle is 60degree then the triangle is equilateral triangle

exactly what the other person said is the right answer, hope this helps

The number line shows the graph of an inequality:

A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.
Which statement explains whether −4.5 can be a value in the shaded region? (5 points)

No, it cannot because −4.5 lies to the left of −3.5.

No, it cannot because −4.5 lies to the right of −3.5.

Yes, it can, because −4.5 lies to the right of −3.5.

Yes, it can, because −4.5 lies to the left of −3.5.

If you get the best answer I will mark you as brinitlylist
if 2 people answer

Answers

Answer:

Yes, it can, because -4.5 lies to the left of -3.5

Step-by-step explanation:

we know that

The solution of the inequality is equal to the interval------> (-∞,-3.5)

All real numbers less than -3.5

x<-3.5

Substitute in the inequality

-4.5<-3.5 ------> is true

therefore

The number -4.5 is a value in the shaded region, because lies to the left of -3.5

1 7/9 divided by 4/5

Answers

The answer would be 20/9

this would be because you need to convert it into an improper fraction due to it originally being 1 7/9 then you would divide 16/9 by 4/5 and simplify!

I hope this helped :)

Answer:

[tex]\frac{20}{9}[/tex]

Step-by-step explanation:

hope this helps have a great rest of your day


please help ASAP!!!

Answers

Answer: y = 115 and x = 78

Step-by-step explanation:

y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x  

Solve the following inequality.
20 < 8

Answers

Answer:

x > 12/7

x > 1  5/7

Step-by-step explanation:

7x + 8 > 20

Subtract 8 from each side

7x+8-8 > 20-8

7x > 12

Divide each side by 7

7x/7 > 12/7

x > 12/7

Changing to a mixed number

x > 1 5/7

The price of an item has dropped to $34 today. Yesterday it was $40. Find the percentage decrease.

Answers

15% decrease.
Explanation:
10% of 40 is $4 so another 5% is $2. So 15%

Abigail’s family was going on vacation. They decided to rent a jet ski. When they went to rent the jet ski, they had to pay a $40 deposit and then $35 an hour.
Which equation could be used to calculate how many hours they rented the jet ski if they ended up paying a total of $145.

A. 145 + 35x = 40

B. 35x = 145 + 40

C. 35x - 40 = 145

D. 40 + 35x = 145

Answers

Answer:

The Answer To This Question Is D.

Step-by-step explanation:

So they had to pay 40 and then 35 an hour = 40 + 35x = 145

Hope this helps! Please Mark Brainliest!

please help me and NOOO LINKS

Answers

Answer:

whats the shape

Step-by-step explanation:

Find the slope given the the two points

Answers

Answer:

the answer is 2

Step-by-step explanation:

use the slope equation

y^1-y^2/x^1-x^2

-1-(-5)/1-(-1)

4/2

2

please help i cant figure out the accurate answer i beg and i will mark brainlist

Answers

Answer:

D

Step-by-step explanation:

50-40=10

8-39=-31

-31/10=-3.1

So the answer is D.

Hope this helped! :)

Complete the tables of values.
Q1) y = x2 - 2x + 4
x -1 0 1 2 3
y

Answers

Answer:

2x(+4)x2

Y-1 0 1 5 2

Step-by-step explanation:

hope it help

Pls help on #7 I will give brainiest ! 7th grade level

Answers

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

ASAP
answer this please


as percentages

Answers

Answer:

Step-by-step explanation:

5/6= 83.33%

9/11= 81.81%

1 3/7= 142.85%

Answer:

(x) 83.(3)%

(xi) 81.(81)%

(xii) 142.(857142)%

Step-by-step explanation:

The thing to do is perform the division and write it as percentages.

Please note that all 3 of those are infinite fractions, so

83.(3) means 83.33333333333333333...

81.(81) means 81.8181818181818181...

142.(857142) means 142.857142857142857142857142857142...

If you wanted to round to nearest % or something, you can do that.

Eg. rounding to 2 places after the period:

83.(3)% ~= 83.33%

81.(81)% ~= 81.82%

142.(857142)% ~= 142.86%

If N = 6 x 2 x 3, what is the value of N?

Answers

Answer:N= 36

Step-by-step explanation:

Jason has $45.00. He wants to buy equal numbers of soft drinks and sandwiches. A soft drink costs $0.79. A sandwich costs $2.49.


Part A


How much does a sandwich and drink cost together?


$



Part B


How many can he buy with $45.00?




soft drinks and

sandwiches


​Part C


How much change will Jason get?


​$

Answers

Answer:

Step-by-step explanation:

How much does a sandwich and drink cost together?

($0.79 + $2.49) = $3.28

How many can he buy with $45.00?

$45/$3.28 = 13.72 or 13 sandwich/soda combos.

 

13 soft drinks and  

13 sandwiches

How much change will Jason get?

$45 - 13($3.28) = $2.36

Solve:
13/19- (-1/19)

Answers

It’s c I hope it works

Answer:

The answer is C! :) hope that helps haha

PART B: Uber was also available for Mike to use to get home from the airport. Uber
does not have an initial fee; it charges $3.45 per mile. Which would be a better deal
the taxi or Uber for Mike's trip home?

Answers

Answer:

taxi

Step-by-step explanation:

you would take the taxi because it would cost less than Uber

The taxi would be the better deal because of the price

you got this
{2x−y=3
x+2y=−6

Answers

Answer:

Equation form

x=0

y=-3

Point form

(0,-3)

Step-by-step explanation:

BRAINLIEST
Please answer these

Answers

12.

Answer: 30.25π

11π = circumference

diameter * π = circumference

diameter = 11

radius = 5.5

Area = 5.5 * 5.5 * π

Area = 30.25π

13.

Answer: 52π

Area = radius * radius * pi

Area = 676π

Radius = 26

Diameter = 2 * radius

Diameter = 52

Circumference = 52π

14.

Answer: 38π

Area = radius * radius * pi

Area = 1134.11

Radius ≈ 19

Diameter = 38

Circumference = 38π

15.

Answer: 72.25π

Circumference = diameter * π

53.41 = diameter * π

Diameter ≈ 17

Radius = 8.5

Area = radius * radius * π

Area = 72.25π

Answer:

Step-by-step explanation:

Which has a greater rate of change?
pick one

Answers

I think the yellow line.
It’s the steepest so I has the greatest rate of change.

The thermostat for a house is set to 68 °F, but the actual temperature may vary
by as much as 2 °F. What is the range of possible temperatures?

Answers

Answer:

the range is 66 to 70 since it can be 2 degrees in either direction

The range of possible temperatures is 66 to 70°F.

It is required to find the range of possible temperatures.

What is Temperature?

The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.

Given:

The thermostat for a house is set to 68 °F, but the actual temperature may vary by as much as 2 °F.

According to given question we have,

∴The range is 66 to 70 °F since it can be 2 degrees in either direction.

Therefore, the range of possible temperatures is 66 to 70°F.

Learn more about temperature here:

https://brainly.com/question/11464844

#SPJ2

slopeeeeeeeeeee please help me someone no bots

Answers

Answer:

5) -2

6) 1

7) -4/3

8) I'm not sure for this one

9) 8

10) 9/5 i think

1)   A

2)   D or A

3)   C

4)   A

Step-by-step explanation:

Slope intercept form: y = mx + b, and m is the slope, and b is the y-intercept

It is given that 2(3+x)=6+2x this is e so ample of which property

Answers

Answer:

  distributive property

Step-by-step explanation:

The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.

  2(3 +x) = 2(3) +2(x) = 6 +2x

What is the domain of this graph?

Answers

The domain is the x values of where the dots are located.

A and E are -2

C is at 1

B and D are at 3

Answer: (-2,-2,1,3,3)

Answer:

(-2,1,3)

Step-by-step explanation:

coordinates are (-2,-4),(-2,3),(1,-1),(3,-1),(3,2)

all the points in x (domain) are -2,-2,1,3,3 which is just (-2,1,3)

basically points in x

Question 6 of 12
✓ 49
A. 8
O O
B. 14
C. 7
SUBMIT

Answers

Answer:

C. 7

Step-by-step explanation:

7 · 7 = 49

I hope this helps!

How many ways are possible to select a president and vice president from an
association with 5400 members?

Answers

The Answer there are 9*8 = 72 ways to choose a president and vice president

Step-by-step explanation:

John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20

Answers

Answer:

John spends $23.60 at the barbershop.

Step-by-step explanation:

convert all % to decimals (/100)

0.2 x 25 = 5

25 - 5 = $20

0.18 x 20 = 3.6

20 + 3.6 = $23.6

Given that D(x) = 2x, select all of the following that are true statements.
D( x) is a direct variation.
O D( x) is a function.
D( X) is a rule for the set of points (5, 10), (6, 12) and (-2,-4).
O xls the dependent variable.
D(6) = 3

Answers

It is D
You welcome

g(x) = 3x + 1; Find g(7)

Answers

g(7)=3(7)+1
g(7)=21+1
g(7)=22

Eva is working two summer jobs, making $16 per hour tutoring and $8 per hour clearing tables. Last week Eva worked 3 times as many hours clearing tables as she worked hours tutoring hours and earned a total of $80. Graphically solve a system of equations in order to determine the number of hours Eva worked tutoring last week, x,x, and the number of hours Eva worked clearing tables last week, yy.

Answers

Answer:

48 and 32 6 hours clearing tables and 2 hours tutoring

Step-by-step explanation:

we can rewrite this as a fraction. we will use 1/10s because 80 can be divided by 8 which is in the problem. we then have to find out what two numbers add up to 8 but one is 3 times the other. 6 and 2 fit into this problem so we plug it into the equation and we write it as this 6x+4x=80 where x is 8. we get 48 and 32.

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