f(x) = 3x + 5
g(x) = 4x^2 – 2
h(x) = x^2 – 3x + 1

Find f(x) – g(x) – h(x).

Answers

Answer 1

Answer:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6

Step-by-step explanation:

Copy f(x) as is:            f(x) = 3x + 5

Negate g(x):              -g(x) = -4x^2 + 2

Negate h(x):               -h(x) = -x^2 + 3x - 1

Now combine like terms:

f(x) – g(x) – h(x) = -5x^2 + 6x + 6


Related Questions

NEED HELP ASAP THANKS

Answers

Answer:

D.  7 1/2

Step-by-step explanation:

-3 divided by  (-2/5) = 7 1/2

The answer is D. 7.5 which is 7 1/2

THE VOLLEYBALL TEAM WON 80% OF THE GAMES THEY PLAYED THIS SEASON. THE
TEAMPLAYED A TOTAL OF 25 GAMES. how many games the volleyball team won

Answers

Answer:

20 games won

Step-by-step explanation:

duh

Please help!

If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?

Answers

Answer:

[tex]a+b+c=9+8+6=23[/tex]

Step-by-step explanation:

Let’s first simplify our expression. We have:

[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]

For the second term, multiply both the numerator and denominator by √2. This yields:

[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

Hence, our expression is now:

[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]

For the second term, we can multiply both layers by 3. Hence:

[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]

For the third term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]

And for the last term, we can multiply both layers by 2. Hence:

[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]

So, our expression is:

[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]

Add:

[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]

Combine like terms:

[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

[tex]a+b+c=9+8+6=23[/tex]

At a grand-opening sale, 20% of the first 500 customers won a prize. How many of the first 500 customers won a prize? A50 B100 C200 D1,000​

Answers

Answer:The Answer is ________ Please Make sure You Put it In and Trust Have a wonderful day/Night:)

Step-by-step explanation:

Answer:

100.

Step-by-step explanation:

500/10=50 =10%

50 x 2 = 100 = 20%

I hope this helps :D

Please help! I am struggling to understand this!

Answers

Answer:

x = 56°

Step-by-step explanation:

cos(x) = adjacent/hypotenuse

cos(x) = 5/9

      x  = [tex]cos^{-1}[/tex](5/9)

      x  = 56.25°

Find the volume of this prism.
Please help!! And explain <3

Answers

(9×6/2) × 12 = 324

Explination:

The easiest way to understand what you're doing is to find the area of the base first, then extend it upwards to find the volume using height. Hence the equation: b×h=v

So how do we find the base of a triange? Remember that every single triangle can be calculated as a square, then cut in half. So 9 × 6 / 2 = 27 cm2

The next step is to calculate the volume using the height of the figure. 27 × 12 = 324 cm3

**remember to use the correct units, since area and volume are different.

What is 53 percent of 49?
2.597
25.97
259.7
2,597

Answers

Answer:

25.97

Step-by-step explanation:

.53 x 49 = 25.97

Alice backyard has 6.25 by 6.25m patio she would like to build a 1.5 M wide extension around three sides of the patio as the figure shows you will by 0.25 by 0.25 M tiles that come 25 tour package how many packages does Ellis need to buy in The extension

Answers

Answer:

To find the area of the extension, I'm going to find the total area (patio and extension) and subtract the patio.

Total area:  length  =  1.5 + 6.25 + 1.5  =  9.25     height  =  1.5 + 6.25  =  7.75

   Total Area  =  9.25 x 7.75  =  71.6875

Area of the patio  =  6.25 x 6.25  =  39.0625

Area of the extension  =  Total Area - Area of the patio  =  71.6875 - 39.0625  =  32.625

Area covered by one box of tiles:  25 x 0.25 x 0.25  =  1.5625

Number of boxes needed:  32.625 / 1.5625  =  20.88  =  21 boxes

Step-by-step explanation:

What is the y-intercept?
4

Answers

Answer:

A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)

Step-by-step explanation:

The following table shows the salary of 7 people in an office last year.

Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £19250
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

Step-by-step explanation:

The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.

So,

Number of values = n = 7

Now,

[tex]Mean = \frac{Sum}{No.\ of\ values}\\=\frac{13500+27500+13750+79000+19250+27500+15000}{7}\\=\frac{195500}{7}\\=27928.5714..[/tex]

Rounding off to two decimal places

Mean income = £27928.57

Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:

[tex]Sum = 195500-79000 = 116500[/tex]

The mean without Deva's income is:

[tex]Mean = \frac{116500}{6} = 19416.6666..[/tex]

Rounding off to 2 DP

Mean = £19416.67

Hence,

a. Mean = £27928.57

b. Mean without Deva's income = £19416.67

graph y = 4x-9 please

Answers

Step-by-step explanation:

Just take two random points, always remember ,take x=0 and find his correspondent y

in this case y=4*0-9=-9

first point (0,-9)

second one:

take any x you want, I took 2 randomly, and y will be

y=4*2-9=8-9=-1

second point is (2,-1)

find these points on graph and connect them with a ruler ! And that is the line you are searching for!

We want to graph the line y = 4*x - 9.

The graph can be seen at the end of the answer.

To graph a given linear function, we need to find two points that belong to the function, and then connect them with a line.

To find the points we just evaluate the function in two different values of x, so let's do that.

For x = 0 we have:

y = 4*0 - 9 = -9

Then we have the point (0, -9)

For x = 1 we have:

y = 4*1 - 9 = 4 - 9 = -5

Then we have the point (1, -5)

Now we just can graph these two points on a coordinate axis, and connect them with a line.

The graph is shown below

If you want to learn more, you can read:

https://brainly.com/question/18196858

school and eat breakfast, and a 60% chance that she will be late for school or eat breakfast. What
is the probability that Elaine will eat breakfast

Answers

She will not eat breakfast

3x^2y^2/6xy
please answer asap​

Answers

Answer:

-3xy • (xy - 2)

Step-by-step explanation:

if ur supposed to be simplyfying it that should be the answer i think

Answer:   3xy⋅(xy−2) Your Welcome:)

:

In a flash of sheer brilliance, Stefan invents a time machine! The machine uses a small nuclear reactor to generate the electricity it needs to travel back in time. There is a proportional relationship between how many years Stefan wants to travel back in time, x, and how much electricity (in megawatts) his time machine needs, y . ​

Answers

Answer:

[tex] y = x [/tex].

Step-by-step explanation:

Equation to represent the proportional relationship between years (x) and megawatts (y) is represented as [tex] y = kx [/tex].

Where k = constant of proportionality, which is y/x.

To find k, we can use the coordinates of any point on the line. Let's use (4, 4).

k = y/x = ⁴/4 = 1

Substitute k = 1 into [tex] y = kx [/tex].

✅Equation representing the relationship would be:

[tex] y = (1)x [/tex].

[tex] y = x [/tex].

Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Mariana and Russell both went bowling last weekend, but not together. Mariana went during
open bowling time, paying $10 for shoe rental and $1 per hour. Russell went on family night,
when each hour was $2 and shoe rental was $3. As it turned out, they played for the same
number of hours and spent the same amount. How much did each one spend? How many
hours did each one bowl?
Mariana and Russell each spent $
and bowled for
hours.

Answers

Answer:

16

m=10 per hour=1

Step-by-step explanation:

Pleasee need help!!Calculate the value of x in the diagram.
A. 40°
B. 50°
C. 80°
D. 90°

Answers

Answer:

d

Step-by-step explanation:

Answer:

D. 90

Step-by-step explanation:

So you're given 130 degrees. that 130 angle and the angle inside the triangle next to it, are supplementary which means they add up to 180. So you have a 40 degree and a 50 degree angle + x. together they must add up to 180

40+50+x=180

90+x=180

x=90

Which of the following is a solution for 5 - 2x ≤ -3?

A. -4
B. 4
C. 1
D. -1

Answers

Answer: B

It's X [tex]\geq[/tex] 4

will give brainliest!!

Evaluate each expression when
a = 3 and b = 8.
Order the results from least to greatest.

5a - 6

b/2 + 4

ab - 17

6/a + b/4

b+1/a

a+1/4b

Answers

Answer :

a + 1/4b

6/a + b/4

ab- 17

b/2 + 4

b + 1/a

5a - 6

Step-by-step explanation:

5a - 6 = 9

b/2 + 4 = 8

ab - 17 = 7

6/a + b/4 = 4

b + 1/a = 8.5

a + 1/4b = 3.03125

HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.

Answers

Answer:

y= 30x

tep-by-step explanation:

The answer is y=30x hope this helps

WILL GIVE BRAINLIEST!!!!!!!
Write a quadratic equation with –6 and 5 as its roots.

Answers

While there are many quadratic equations using -6 and 5 as roots, the most simple would be the basic (x+6)(x-5)=0, or simplified, x² + x - 30 = 0.

Using these roots, all you have to do is make both sides of the equation and even both sides of the multiplied pre-product to equal 0. If using this format, x has to be equal to -6, and 5.

Two trapezoids below are similar what is the length of RS?

Answers

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

 

What is the solution to y=-7+13 and y=-1

Answers

y=12

I'm sorry if I'm wrong

PLEASE HELP WILL GIVE BRAINLIEST !! :)

Answers

Answer:

69

Step-by-step explanation:

Because in 3x+15 x=18 and 3*18+15=69

kenya found that 6 out of 9 students in her class have sports practice today. Based on the results , how many of the 270 students in the school have practice today

Answers

the answer is 180 students would have practice, hope this helps x



i am in need of help

Answers

Answer:

(in the image)

Step-by-step explanation:

for the slope one - both triangle a and b have a slope of 5/3 (b's goes from 15/9 to 5/3 because of simplifying)

for the second one - 5/3=15/9 because the sides of both triangles correspond

My Answer to that:

5 - 3= 15 - 9 (Statement)- 5/3 = slope (Reason)

Definition of slope (Statement) - triangle A is similar to triangle B (Reason)

- sorry if wrong but that is the answer I would put

Look at the figure, . Find the length of . 36 m 42 m 106 m 78 m

Answers

the awnser is

4.0/5. 7. calculista

Write an expression
Your cellphone costs $0.50 for the first minute and $0.35 for
each additional minute.

Answers

Answer:

0.50+0.35x

Step-by-step explanation:

Answer:

0.5+0.35m

Step-by-step explanation:

What are all them pls i am stuck

Answers

Answer:

6. is proportional, 7. is not proportional, 8. is not proportional

Step-by-step explanation:

Answer: 7 is Portional

share £80 in the ratio 1:3:4​

Answers

Answer:

£10, £30, £40

Step-by-step explanation:

Divide the share by the sum of the numbers in the ratio.

1 + 3 + 4 = 8

80 / 8 = 10

Multiply each number in the ratio by 10 to find the value of each share.

1 × 10 = 10

3 × 10 = 30

4 × 10 = 40

Answer:

Step-by-step explanation:

total ratio=1+3+4

=8

first part

1/8x 80euros=10euros

second part

3/8 x 80euros=3x10euros

=30euros

third part

4/8x80euros=4x 10 euros

=40euros

As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

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