17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)

Answers

Answer 1

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

Answer 2
f(x)+g(x)= (2x^2+5x+6)+(3x^2+4x-10)= 5x^2 + 9x -4.
f(x)-g(x)= (2x^2+5x-6)-(3x^2+4x-10)= 2x^2+5x-6 (-3x^2 - 4x +10)= -x^2 +x+4

Related Questions

Sandra's bird feeder holds 3/5 of a cup of birdseed. Sandra is filling the bird feeder with a scoop that holds 1/10 of a cup. How many scoops of birdseed will Sandra put into the feeder?

Answers

6, because 3/5=6/10 and 1/10*6=6/10.

1. What is the probability of an odd outcome?

2. What is the probability of an outcome less than 6?

Answers

Answer:

1. 50%

2.[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.

2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.

P = N / NP

Dice has 6 faces. I.E. 1,2,3,4,5,6

= 6

NP, therefore, is the total number of possible outcome.

Faces less than 6. (1,2,4, and 5)

N = 5

P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.

A sweater priced at $34.99 is on sale for 25% off. Find the cost with 7.5% sales tax.

Answers

Answer:

25%=$8.74 7.5%=$2.62

Step-by-step explanation:

**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?

Answers

Answer:

She had 7 eggs when first went into the market

Step-by-step explanation:

Three times multiply 1/2 and minus 1/2 until you get zero.

7 x 1/2 - 1/2 = 3

3 x 1/2 - 1/2 = 1

1 x 1/2 - 1/2 = 0

Answer:

7

Step-by-step explanation:

-8y=-800
what is y?
Plz with the explanation...

Answers

Answer:

-100

Step-by-step explanation:

8*-100=-800

Answer: 100
To solve, you can divide both sides of the equation by -8. That leaves you with y=100

At cultutral arts day each session lasts 4/5 hours. The principal has set aside 3 hours for the sessions. Determine the number of sessions that can be sheduled for each student

Answers

Answer: 3.75

Step-by-step explanation:

The following can be gotten from the question:

Time taken for each session = 4/5 hours

Total time set aside by principal = 3 hours

The number of sessions that can be sheduled for each student will be:

= Total time set aside by principal / time taken for each session

= 3 hours / 4/5 hours

= 3 × 5/4

= 3.75

ron wants to buy a video game with a selling price of ​$60​, on sale for​ 50% off. The sales tax in 4.5% state is . How much will he have to pay in​ all? If has ​$34​, can he afford to purchase the​ game?

Answers

Answer:

Yes, he can.

Step-by-step explanation:

To find the sale, you need to times the sale percentage by the original price so

60 x 0.50 = 30

Then you subtract the original price by the sale price so

60 - 30 = 30

So the with the sale, the price is $30.

Now the tax

Do the same

30 x 0.045 = 1.35

Now instead of subtracting you add so

30 + 1.35 = $31.35

Yes, he can afford it.

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *

Answers

Answer:

(7, - 1)

Step-by-step explanation:

[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]

Answer:

(7, - 1)

Step-by-step explanation:

Line AB contains points A (−1, 3) and B (5, 3). Line AB has a slope that is

Answers

Line a B divide that by -13 so it’s probably be (5,3)

What are similar triangles?

Answers

Answer:

two triangles that are similar, that have equal angles

Answer:

the triangle which has same shape,sixe and angles is called similar triangle

Plz hurry!!

Click the answer that shows the numbers in order from least to greatest.


A. 1.6, 0.9, 0.2, -0.8, -2.4

B. -0.8, -2.4, 0.2, 0.9, 1.6

C. -2.4, -0.8, 0.2, 0.9, 1.6

D. -0.8, 1.6, 0.9, -2.4, 0.2

Answers

Answer:

C is the correct answer

Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

Answers

The answer is B = (-1, -5)

Because -1 to 4 is 5 which is the run from
rise/run
So we would apply 2 - 7
Which would be - 5

Give me brainliest if this helped

.
Find the measure of ∠3.




45°


90°


135°

Answers

The answer you are looking for is 45

solve for x and simplify -5/6x=-3

Answers

Answer:

x = 18/5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS Equality Properties

Step-by-step explanation:

Step 1: Define equation

-5/6x = -3

Step 2: Solve for x

Divide both sides by -5/6:               x = 18/5

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    -5/6(18/5) = -3Multiply:                        -3 = -3

Help please I’ll give you 25 points

Answers

Answer:

=x3y+8

Step-by-step explanation:

The answer to your question is in the picture ❤️

If a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and the scale factor

Answers

Answer:

5

Step-by-step explanation: 3x5=15

What is the value of 25 to the power of 1/2

Answers

Answer:

the value of 25 to the power of 1/2 is 12.5

Answer:

5 (square root of 25)

Step-by-step explanation:

25 to the 1/2 power is the same as  square root of 25  

25  to the 1/3 power is the same as cube root of 25,...... etc

An arithmetic sequence is given below.
17, 22, 27, 32,
Write an explicit formula for the n
th
term an
a
n
0 0
Х
?

Answers

Answer:

n5 + 17

Step-by-step explanation:

They're asking for a pattern.

17 + 5 = 22

22 + 5 = 27

27 + 5 = 32

So it starts at 17 and increases by five each time.

The nth term increases by 5 each time and starts at 17. That means the nth term is multiplied by 5 each time, but you have to add 17 because that's where the pattern starts.

n5 + 17

Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?

Answers

Answer:

[tex]5\dfrac{1}{2}\ \text{kg}[/tex]

Step-by-step explanation:

Plant food used on strawberry plants is

[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]

Plant food used on tomato plants is

[tex]\dfrac{1}{4}\ \text{kg}[/tex]

Feeding the strawberry plants two times means

[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]

Feeding the tomato plants one more time means

[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]

The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

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

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

30% of what number is 3?

Answers

Answer:

10

Step-by-step explanation:

To find the number, divide 3 by 0.3

3/0.3

= 10

So, 30% of 10 is 3.

Please can anyone simplyfy that and can you tell the steps?​​

Answers

Step-by-step explanation:

Hope I did the way it was required! And helped you somehow!

need help please due soon!

Answers

143 because you multiply by the scale factor of 13

Which system of equations does the graph represent?

A) y = 2x + 2
y = -3x + 4

B) y = x + 2
y = -x + 4

C) y = 2x + 4
y = -3x + 2

D) y = -x + 2
y = x + 4

Answers

Answer:

The answer is B) y= x + 2

y= - x + 4

Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?

Answers

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

HELPPPPP ASAPPPPP PLSSSS

Answers

C tell me if you get it right

How many sig figs does 602 200 000 000 000 000 000 000 molecules have ? Explain

Answers

Answer:

4

Step-by-step explanation:because 6022 is the sig figs, and 00000000000000000000 doesnt work because it is zero

The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction​

Answers

Answer:

please correct your question

8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes

Answers

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

Put the following equation of a line into slope-intercept form, simplifying all
fractions.

8y – 4x = -56

Answers

Here you go!! Hope this helps
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