1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ryzh [129]
3 years ago
5

Given that Q(x)=2x^2 +5x-3 find and simplify Q(a+h)-Q(a-h)

Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Answer:

Q(a+h)-Q(a-h)=8ah+10h

Step-by-step explanation:

We are given the function:

Q(x)=2x^2+5x-3

And we want to find and simplify:

Q(a+h)-Q(a-h)

Substitute:

=[2(a+h)^2+5(a+h)-3]-[2(a-h)^2+5(a-h)-3]

Expand:

\displaystyle =[2(a^2+2ah+h^2)+5a+5h-3]-[2(a^2-2ah+h^2)+5a-5h-3]

Distribute:

=[2a^2+4ah+2h^2+5a+5h-3]-[2a^2-4ah+h^2+5a-5h-3]

Distribute:

=(2a^2+4ah+2h^2+5a+5h-3)+(-2a^2+4ah-2h^2-5a+5h+3)

Rewrite:

=(2a^2-2a^2)+(4ah+4ah)+(2h^2-2h^2)+(5a-5a)+(5h+5h)+(-3+3)

Combine like terms:

=8ah+10h

Hence:

Q(a+h)-Q(a-h)=8ah+10h

You might be interested in
what is the surface area of a rectangular prism that has a height of 5cm a width of 10cm and a depth of 4cm
Kamila [148]

2(5*10)+2(10*4)+2(5*4)=

2(50)+2(40)+2(20)=100+80+40=

220 cm^2

I found the answer by finding the areas of the 3 different sides, multiplying each area by 2 since each side has another side that is equal on a rectangular prism, then adding all of them together.

4 0
3 years ago
Help!! Answer !!! about to run out of time in test!!
Gemiola [76]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Here's the solution ~

Let's find the measure of hypotenuse first, by using Pythagoras theorem ;

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {8}^{2}  +  {6}^{2}

\qquad \sf  \dashrightarrow \: h {}^{2}  =  {36}^{}  +  {64}^{}

\qquad \sf  \dashrightarrow \: h {}^{2}  = 100

\qquad \sf  \dashrightarrow \: h {}^{}  =  \sqrt{100}

\qquad \sf  \dashrightarrow \: h {}^{}  =  {10}

Now, let's find the asked values ~

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{opposite \: side}{hypotenuse}

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{6}{10}

\qquad \sf  \dashrightarrow \:  \sin(x) =  \dfrac{3}{5}   \: or \: 0.6 \: units

For Cos y :

\qquad \sf  \dashrightarrow \:  \cos(y) =  \dfrac{adjcant \: side}{hypotenuse}

\qquad \sf  \dashrightarrow \:  \cos(y)   = \dfrac{6}{10}

\qquad \sf  \dashrightarrow \:  \cos(y)   = \dfrac{3}{5}  \: or \: 0.6 \: units

As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.

I.e Sin x = Cos y

Hope it helps ~

3 0
2 years ago
The sale price of an item is $160 after a 20% off discount. What was the original price of the item?
bulgar [2K]

Answer:

200

Step-by-step explanation:

160/80 is 2. 2 times 100 is 200

6 0
3 years ago
Your friend has a fabulous recipe for salsa, and he wants to start packing it up and selling it. He can rent the back room of a
9966 [12]
1000 jars a month..how many jars can he make
6 0
3 years ago
Read 2 more answers
Which is the lasrgest​
nikdorinn [45]

Answer:

0.153

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A theater can seat 273 people. The number of rows is 8 less than the number of seats in each row. How many rows of seats are the
    5·1 answer
  • Difference between relative frequencies and percentages.
    7·1 answer
  • A community center has adopted two miles or 3520 wide of a highway to pick up trash along the side of the road falling tears are
    8·1 answer
  • 14. The diameter of a circle has endpoints A(-8, -5) and B(4, 11). Write the equation of the circle. (**hint: you must find the
    9·1 answer
  • Camryn earns $198.60 per week. She works 15 hours each week. How much does Camryn earn per hour? P.S this is a unit rate questio
    10·1 answer
  • Greatest common factor 24 & 48
    10·2 answers
  • What did jonny say to papa his butt inches HAAHAHAAHAH is my joke funni
    9·1 answer
  • 59.73 - 21.876 <br>can u help me​
    8·1 answer
  • 283,980 in word form
    14·1 answer
  • Exponential and log Equations<br><br> 1. 2log(2x)=7
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!