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

Find e and d
3e+d=8
2e+d=8​

Answers

Answer:

Step-by-step explanation:

3e+d=8
2e+d=8
Multiply the second equation by -1
You get
-3e-d=-8
Use eliminating methods
-3e-d=-8
2e+d=8
We get
-e=0
So e=0
Find e by substitute it in one of the equation
2*0+d=8
D
d=8

what is greater -5 1/2 or -6.5

Answers

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

List the angles of A KLM with vertices
K(-2,-2), L(2, 6), M(7, -2) in order
from smallest to largest.

Answers

The required angles from smallest to largest are m<M < m<L < m<K

Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)

The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<K

Get the measure of KL, KM and LM using the distance formula as shown:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]

For the length KL with coordinate points K(-2,-2), L(2, 6)

[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]

For the length KM with coordinate points K(-2,-2), M(7, -2)

[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]

The length LM with coordinate points L(2,6), M(7, -2)

[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]

From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K

Learn more on distances between two points here: https://brainly.com/question/23848540

13.
A?
B?
C?
D?
I’ll check back in whoever is correct here brainlest <3 ignore the stuff at the bottom

Answers

Answer:

A

Step-by-step explanation:

[tex]\huge \sf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf {x}^{2} - 10xy + 21 {y}^{2} [/tex]

[tex] \sf {x}^{2} - 7xy - 3xy + 21 {y}^{2} [/tex]

[tex] \sf x(x - 7y) - 3y(x - 7y)[/tex]

[tex] \sf( x - 7y)(x - 3y)[/tex]

Hence, the correct choice is ~ A

How do I do that I need desperat help pls

Answers

9 because 12 + is greater than/equal to 9+3

For all values of x, which expression is equivalent to (3x + 2) + 2(3x + 2)?
es)
A)
6x + 4
B)
6x + 6
C)
9x + 4
D)
9x + 6
o
(MAFS.6

Answers

Answer:

[tex]9x+6[/tex]

Step-by-step explanation:

[tex]\left(3x+2\right)+2\left(3x+2\right)[/tex]

[tex]x+2+2\left(3x+2\right)[/tex]

[tex]3x+2+6x+4[/tex]

[tex]9x+6[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(3x + 2) + 2(3x + 2)[/tex]

[tex](3x + 2) +[(2 \times 3x) +( 2 \times 2)][/tex]

[tex] \sf3x + 2 + 6x + 4[/tex]

[tex] \sf3 x + 6x + 2 + 4[/tex]

[tex] \sf9x + 6[/tex]

NO LINKS!!


On the grid below, which point is located in the quadrant where the x- and y-coordinates are both negative numbers?

Answers

Answer:

Point c

Step-by-step explanation:

A is at (6,4), both +

B is at (-4,2) only 1 -

C is at (-7,-2) both -

D is at (5,-4) only 1 -

Hope that helps

Answer:

C

Step-by-step explanation:

C is the answer because dude just look at it. C is in the quadrant where both x and y axis is negative.

Hope This Helps You:)

what times what will give 540

Answers

2x270=540 there for this is right !

Answer:

There are many:

10*54

5*108

2*270

4*135

And more

Step-by-step explanation:

2, 5, 2, 3, 3, 3

These are the multiplies of 540 you can just multiply and they always get you the same solution: 540

Hope this helps!

if f (x)=x^2-x-1, then f(-5)=

Answers

[tex]\text{Given that,}\\\\f(x) = x^2-x -1\\\\f(-5) = (-5)^2 -(-5) -1 = 25 +5 -1 = 29[/tex]

Substitute -5 for x
f(-5) = -5^ 2 - (-5) - 1
= 25 + 5 - 1
=29
Hope this helps!

simplify the expressions 4y+2x-y+8​

Answers

Hey there!

4y + 2x - y + 8

= 4y + 2x - 1y + 8

COMBINE the LIKE TERMS

= (4y - 1y + (2x) + (8)

= (4y - y) + (2x) + (8)

= (2x) + (4y - y) + 8

= 2x + 3y + 8

Therefore, your answer is: 2x + 3y + 8

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

3y+2x+8

Step-by-step explanation:

All you really do is combine the like terms, which in this case is the 3y and the -y. think of the y more as -1y and that is why it's subtrcated.

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.

Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)

Answers

Answer:

Total Circumference = 514, 170 miles

Total Mass = 2, 467, 000, 000, 000 metric tons

Step-by-step explanation:

hope this helps

Answer:

378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)

5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)

The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?

Answers

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

HELP!!! PLEAAASSEEEE

Answers

Answer:

RT

Step-by-step explanation:

please mark brainliest

these are the last 2 I need

Answers

Answer:

A and A

Step-by-step explanation:

want to check my answer​

Answers

Answer:

Yes. The answer is good 3x+1

Looks good! I think it good

5x10^6 is how many times greater than 5x10^4

Answers

Answer:

By 100 times.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

5x10^6= 5000000  

5x10^4= 50000  

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)


Question: 5x10^6 is how many times greater than 5x10^4
Answer:

The sum of three consecutive odd numbers is 153 find the number ​

Answers

Answer:

Divide the no. by three

Step-by-step explanation:

153÷3 = 51

so, 51+51+51 = 153

Answer:

an odd number can be expressed as 2n+1 (2n would be even, add 1 = odd)

first number = 2n+1

second number = 2n+3 -> skip + 2 because it would make it even

third number = 2n+5

2n+1+2n+3+2n+5=153

6n+9=153

6n=144

n=24

24*2+1=48+1=49

24*2+3=48+3=51

24*2+5=48+5=53

the numbers are 49, 51, and 53.

The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?​

Answers

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

3x + y =4 in standard form

Answers

Answer:

3x+y=4

Explanation:

Standard form is Ax + By = C

HELP ME GUYS PLEASE!!! :)

Answers

Answer:

(10,-2)

Step-by-step explanation:

You can see that the first equation has already given as x-isolated equation aka x = 10.

With this, you can substitute x = 10 in the second equation 3x+5y = 20 then solve for y.

3(10)+5y=20

30+5y=20

Subtract both sides by 30.

5y=-10

Divide both sides by 5.

y=-2

So from x = 10 and y = -2, we can write as (10,-2) in coordinate form.

Answer:

(10,-2)

Step-by-step explanation:

since they already give u x, u can just sub it into the other equation

3(10)+5y=20

30+5y=20

5y=20-30

5y=-10

y=-2

PLEASE HELP

Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?


Answers

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d  - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

In mrs kuliks class there are 20 female students and 8 male students what is the percent of male students

Answers

Answer:

About 29%

Step-by-step explanation:

What is the volume of 4 19 31 10 62

Answers

Answer: 1460720

To find volume just multiply them all-

4*19*31*10*62

1460720 ( i am not sure if those are the numbers you meant)

A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?

Answers

Your answer will be 38%, because you think of 100$ being as 100% and 620$ as being 62% and subtract 100-62= 38% it doesn’t work all the time but for this specific one it will, hope this helps.

I desperately need help !

Answers

Answer:

t = 9.57

Step-by-step explanation:

We can use trig functions to solve for the t

Recall the 3 main trig ratios

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent.

( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )

We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"

When dealing with the opposite and adjacent we use trig ratio tan.

Tan = opp / adj

angle measure = 62 , opposite side length = 18 and adjacent = t

Tan(62) = 18/t

we now solve for t

Tan(62) = 18/t

multiply both sides by t

Tan(62)t = 18

divide both sides by tan(62)

t = 18/tan(62)

t = 9.57

And we are done!

T= 9.57 do the math it’s not hard

The Ride-It Store rents bicycles. The cost is $8.50 for 1 hour, $13.65 for 2 hours, &18.80 for 3 hours, and &23.95 for 4 hours. If the pattern continues, how much will it cost Nate to rent a bike for 6 hours?

Answers

so for each hour the price increases $5.15
so 4 hours = 23.95
5 hours = 23.95 + 5.15 = 29.10
6 hours = 29.10 + 5.15 = 34.25

A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.

Answers

The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

Given that,

A motorcycle can travel 60 miles per gallon.

We have to find,

How many gallons of fuel will the motorcycle need to travel 40 km?

According to the question,

The motorcycle travel 60 miles per gallon,

The motorcycle travels 40 km,

To convert it into kilometers 60 miles per gallon.

[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]

Therefore,

The gallons of fuel will the motorcycle need to travel 40 km is,

[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]

Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

For more details refer to the link given below.

https://brainly.com/question/13108874

mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????
A.) 101
B.) 254
C.) 340
D.) 386

Answers

Answer:

D

Step-by-step explanation:

Divide distance he drives by 7 to find hourly rate, then multiply this by 6

450 miles ÷ 7 ≈ 64.29

Then

6 × 64.29 = 385.74 ≈ 386 miles

What value of x would make △PQR~△MNL?

Answers

Answer:

The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16

Step-by-step explanation:

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