Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 pounds left
Answer:
5 days
Step-by-step explanation:
Set up linear equation; food= 240-12(day) f=240-12d
f(1)=240-12(1)=240-12=228
f(2)=240-12(2)=240-24=216
Now set food to equal 180, solve for days:
180=240-12d
-240 -240
-60=-12d
/-12 /-12
5=d
To check: f(5)=240-12(5)=240-60=180
Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his friends. If he uses all of the trail mix, how many pounds will be in each bag?
Answer:
0.375 poundsStep-by-step explanation:
Let the amount of trail mix in each bag be x pounds. If Mario has [tex]2\frac{1}{4}[/tex] pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;
[tex]2\frac{1}{4} = 6 * x[/tex]
solving for x
[tex]\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\[/tex]
Hence 0.375 pounds of trail mix will be in each bag
Simpify the expression. -2(y + 3) -7y
what digit in the thousands place in the decimal 5765.903
Answer: 5
Step-by-step explanation:
5765.903
going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .
.9 ( tenths) 0 (hundredths) 3 (thousandths)
7.75 divided by 0.25 and 0.00942 divide by 0.314 pls iwant the answers and with the EXPLANATION
Answer:
7,75 chia cho 0,25 và 0,00942 chia cho 0,314=10480.47926
Step-by-step explanation:
explanation is arithmetic
when will i know when to add or when to subract
Answer:
Look below:
Step-by-step explanation:
adding is when u see 6 + 10. the plus sign ( the cross ) means to add. Subtract is using the minus sign: 6 - 10.
Answer:
You will know when to add or subtract because of keywords and symbols.
Step-by-step explanation:
Most addition and subtraction problems have keywords that tell you what operation to use. For example, so keywords that tell you that you have to add are altogether, sum, together, and a few other words. Some examples of subtraction problems are less than, and a bunch of other words.
Hope This Helps :)
Violet was carrying around the steps to solve square root of 3x plus 1 = 4. On her way through the Math Factory, Violet dropped them and they mixed with other steps. Put the correct steps in order to solve square root of 3x plus 1 = 4.
Answer:
First, square both sides (d.) leaving 3x + 1 = 16
Second, subtract 1 from both sides (a.) leaving 3x = 15
Third, divide by 3 from both sides (e.) leaving x = 5
Answer: First D, then A, then E
Step-by-step explanation:
3x9+7what is the answer
Answer:
Step-by-step explanation:
First multiply 3x9 and you get 27 and then add 7 to 27
3x9 27
27+7 34
Answer:
34 is the answer
Step-by-step explanation:
2-3x-5+9x=? Thank you to whoever gets the answer
Answer:
6x - 3
Step-by-step explanation:
Step 1: Write out expression
2 - 3x - 5 + 9x
Step 2: Combine like terms (x)
2 - 5 + 6x
Step 3: Combine like terms (constants)
-3 + 6x
Step 4: Rewrite
6x - 3
If f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (f o g) (x)?
Answer:
Step-by-step explanation:
write the phrase below as an algebraic expression.
seven less than a number t
Answer:
t-7
Step-by-step explanation:
If U is between T and B. Draw and find the value of “x” and then the measure of TU. Enter TU into the answer box. ROUND TO THE NEAREST TENTH! TU = 4x, UB = 8x - 32, TB = 97 please help meee
-3(2x - 7) + 4x = 15
solve for c
Answer:
x=3
Step-by-step explanation:
-6x+21+4x=15
-2x+21=15
-2x=15-21
-2x=-6/2
x=3
the sum of a number x and 10
Answer:
x + 10
Step-by-step explanation:
x and 10 are not the same
The sum of the numbers x and 10 is ( x + 10 ).
What is summation?The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.
The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-
Sum = x + 10
Hence, the sum is ( x + 10 ).
To know more about summation follow
brainly.com/question/542712
#SPJ2
1A) When f(n) = 12, what is the value of n?
Answer:
Can't answer this
Step-by-step explanation:
For this question, I think you need to read more informations, find out the function
After you find out the function,
Replace f(x) as 12 and replace x with n
After that, try to solve it.
Good luck.
evaluate the expression. 5^2. what is the value of the expression?
Answer:
25
Step-by-step explanation:
Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.
Write an expression that represents each statement.
The total cost of my cell-phone bill for the 1st month, if lam charged a standard
of $50 plus.50 cents for each channel that I have in my package.
4 square root of 18 simplified
Answer:
[tex]\sqrt{288}[/tex]
Step-by-step explanation:
What we have here is a radical: [tex]4\sqrt{18}[/tex].
Radicals can be made by dividing a number into a perfect square and a number, then taking the square root of the perfect square and putting it outside the square root symbol.
This means that the number here will be [tex]18\cdot(4^2)[/tex]
[tex]4^2 = 16\\\\16\cdot18=288[/tex]
Hope this helped!
A rental company charges $40 a day and 30 cents a mile for renting a truck. Michael rents a truck for 5 days, and his bill comes to $314. How many miles did he drive?
Part 1
Using technology or other resources, research the average distance that each planet is from the Sun
(in kilometers). Once you have found the distance, create a chart showing each planet's distance
from the Sun. The Sun itself will not receive a label since it is your starting point. For example,
Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be
labeled with a distance of 57,909,000. Use the chart below to record your answers:(Add rows if
necessary)
Answer:
Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:
Planet Distance from Sun (in Km) Distance in scientific notation
Mercury 57,909,000 5.7909 X10^7
Venus 108.212.290.56 1.0821229056 X10^8
Earth 149,604,618.24 1.4960461824 X10^8
Mars 227,936,640 2.2793664 X10^8
Jupiter 778,412,020 7.7841202 X10^8
Saturn 1,433,442,700.8 1.4334427008 X10^9
Uranus 2,870,972,200 2.8709722 X10^9
Pluto 5,906,380,000 5.90638 X10^9
Step-by-step explanation:
:)
Solve the following equation 4x+4 = -3+2x+15
x = 4
Step-by-step explanation:4x + 4 = -3 + 2x + 15
4x - 2x = 15 - 3 - 4
2x = 8
x = 8 : 2
x = 4
[Giving Brainliest] What is [tex]2x+1[/tex]
Answer:
2x+1
Step-by-step explanation:
There is no way to simplify or solve any further. It's not even an equation, it's an expression.
if f(x) = –2x – 5 and g(x) = -x + 7
find 9(f(-2))
Answer:
9(f(-2))= -9
Step-by-step explanation:
to find the answer you first have to find f(-2)
f(-2)=-2(-2)-5
which is: 4-5=-1
then you multiply your answer by 9, which equals -9
can i get brainliest, please? i only need 2 more
SOMEONE HELP PLEASE! 40 POINTS!!!! Answer these questions: 1. The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False 2. The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3 x + 1. True False 3. What is the value of the 11th term in the sequence -3, -6, -12, -24, ...? -6,144 -118,098 -3,072 -354,294 4. All of the following statements describe the relation shown except _____. The diagram represents a function. The inputs are {-1, 0, 3, 4}. The outputs are {-2, -1, 1}. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}. 5. What is the function rule represented by the following table? x y 0 3 1 -1 2 -5 y = -2 x + 1 y = -3 x y = -2 x - 1 y = -4 x + 3
Answer:
1. True
2. False
3.-48
4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}
5. can you please put the points in parentheses becasue I cannot tell which pair is which. If you rephrase it I will comment the anwer
Step-by-step explanation:
Answer:
1. True
2. False
3.-48
4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}
Step-by-step explanation:
What number is ten times greater than 10?
Answer:
100
Step-by-step explanation:
Multiply 10 by 10
Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest tenth, what is the total length of Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest tenth, what is the total length of wood Mr.drew needs to make the sides of the sandbox
Answer:
26 ft.2
Step-by-step explanation
Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.
Hope this helps. :)
HELP ME PLZZZZZZZZ HELP
Answer:
Step-by-step explanation:
Bob's deal : 11/10= 1.1 dollars per bagel
Danny's bagel=3/4=0.75 dollars per bagel
Danny's deal is better the price is lower
2- fraction : 11/10>3/4
1.1>0.75 the lower the price the better
3- Danny's deal is better because the price of 10 bagels=7.5 dollars
find the number whose 5 by 7 is 125
Answer:
175 is the correct answer
Step-by-step explanation:
175*5/7=125
On the previous problem, you found a unit rate of ounces per box. Explain how you find a unit rate when given a rate.
1/2 the hole power -5
Step-by-step explanation:
[tex](\frac{1}{2} ) {}^{ - 5} [/tex]
[tex] \frac{1 {}^{ - 5} }{ {2}^{ - 5} } [/tex]
[tex] \frac{1}{ \frac{1}{32} } [/tex]
[tex] \frac{1}{1} \times \frac{32}{1} [/tex]
[tex]32[/tex]