Answer:
3rd option
Step-by-step explanation:
x³ - 64x ← factor out x from each term
= x(x² - 64) ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 64
= x² - 8²
= (x - 8)(x + 8)
then
x³ - 64x = x(x - 8)(x + 8)
[tex] \huge \underline\frak \red{Answer}[/tex]
[tex]\small\mathbb\orange{x³-64x}[/tex]
[tex]\small\mathbb\orange{x(x²-64)}[/tex]
[tex]\small\mathbb\orange{know \: that \: it \: will \: be \: a \: x- and \: a \: because}[/tex]
[tex]\small\mathbb\orange{there \: is \: no \: middle \: x \: value}[/tex]
[tex]\small\mathbb\orange{x-)(x+)}[/tex]
[tex]\small\mathbb\orange{x(x \: — \: 8) (x+8)}[/tex]
______________________________________
[tex]\small\frak\green{hope \: its \: helpful \: to \: you}[/tex]
What is the solution of the proportion 2/3 = x/14 ? Round to the nearest tenth if necessary.
A. 21
B. 2
C. 7
D. 9.3
Answer:
D. 9.3
Step-by-step explanation:
Answer:
D ( 9.3)
Step-by-step explanation:
2/3 = x/14 -->
14 *2/3 = x -->
28/3 = x -->
9.33.... = x-->
9.3 = x
A company produces circular drink coasters. The equation x2 y2 = 18. 0625, with units in inches, represents the size of a coaster. Each coaster is cut from a square piece of cardboard. What is the minimum possible area of each cardboard piece? 4. 25 in2 8. 5 in2 18. 0625 in2 72. 25 in2.
The minimum possible area of the square cardboard will be given as
[tex]a= 72.2\ in ^2[/tex]
What will be the area of the dashboard?The area of the square is the product of its two lengths.
We have an equation of the circular drink coaster
[tex]x^2+y^2=18.0625[/tex]
Comparing the above equation from the general form of the circle
[tex]x^2+y^2=r^2[/tex]
We can see that from the equation
[tex]r^2=18.0625[/tex]
[tex]r=4.25\ inch[/tex]
Diameter [tex]d=4.25\times 2=8.50[/tex]
The diameter will be the length of the square since the circle is cut from the square.
So the area of the square will be
[tex]a=d\times d=8.50\times 8.50=72.25\ inch^2[/tex]
Thus the minimum possible area of the square cardboard will be given as [tex]a= 72.2\ in ^2[/tex]
To know more about Area follow
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Which of the following number lines and solution sets show the values of r that make the inequality -2r+3<9 true
Answer:
"Solving'' an inequality means finding all of its solutions. A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.
Step-by-step explanation:
Example 1:
Consider the inequality
displaymath173
The basic strategy for inequalities and equations is the same: isolate x on one side, and put the "other stuff" on the other side. Following this strategy, let's move +5 to the right side. We accomplish this by subtracting 5 on both sides (Rule 1) to obtain
displaymath174
after simplification we obtain
displaymath175
Once we divide by +2 on both sides (Rule 3a), we have succeeded in isolating x on the left:
displaymath176
or simplified,
displaymath177
All real numbers less than 1 solve the inequality. We say that the "set of solutions'' of the inequality consists of all real numbers less than 1. In interval notation, the set of solutions is the interval tex2html_wrap_inline187 .
Example 2:
Find all solutions of the inequality
displaymath189
Let's start by moving the ``5'' to the right side by subtracting 5 on both sides (Rule 1):
displaymath190
or simplified,
displaymath191
How do we get rid of the ``-'' sign in front of x? Just multiply by (-1) on both sides (Rule 3b), changing " tex2html_wrap_inline201 " to " tex2html_wrap_inline203 " along the way:
displaymath192
or simplified
displaymath193
All real numbers greater than or equal to -1 satisfy the inequality. The set of solutions of the inequality is the interval tex2html_wrap_inline205 .
Example 3:
Solve the inequality
displaymath207
Let us simplify first:
displaymath208
There is more than one route to proceed; let's take this one: subtract 2x on both sides (Rule 1).
displaymath209
and simplify:
displaymath210
Next, subtract 9 on both sides (Rule 1):
displaymath211
simplify to obtain
displaymath212
Then, divide by 4 (Rule 3a):
displaymath213
and simplify again:
displaymath214
It looks nicer, if we switch sides (Rule 2).
displaymath215
In interval notation, the set of solutions looks like this: tex2html_wrap_inline227 .
y-2x=6 make y the subject of formula
Answer:
below...
Step-by-step explanation:
y=2x-6
Hello.
In order to make a variable the subject of a formula, we need to isolate it (get it by itself)
In this case, we need to add 2 to both sides.
[tex]\mathrm{y-2x+2x=6+2x}[/tex]
[tex]\mathrm{y=6+2x}[/tex]
And we're done!
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
pls help this is my last question help!!!!
Hi im gonna use all my points on this
Answer:
10 bracelets
Step-by-step explanation:
5 feet of yarn is 60 inches of yarn, if each bracelet takes 6 inches of yarn to make, you have to divide 60 by 6 which is 10 bracelets
An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
42° and 48°
Step-by-step explanation:
Complementary angles add up to 90°.
So we have one angle x and the other angle x+6 which when added together will equal 90°.
x + x + 6 = 90
2x + 6 = 90
-6 - 6
2x = 84
Divide both sides by 2
2x/2 = 84/2
x = 42
So one angle = 42°, and the other angle = 42° + 6° = 48°.
The harmonic mean of two positive integers is the reciprocal of the arithmetic mean of their reciprocals. For how many ordered pairs $(x,y)$ of positive integers is the harmonic mean of $x$ and $y$ equal to $20$
Answer:
9 ordered pairs
Step-by-step explanation:
The requirement that the harmonic mean of two positive integers be 20 places a restriction on what those integers may be.
20 = 2/(1/x +1/y)
y = 10x/(x -10)
Integer values of x that produce integer values of y are ...
x ∈ {11, 12, 14, 15, 20, 30, 35, 60, 110}
The corresponding 9 ordered pairs are ...
(11, 110), (12, 60), (14, 35), (15, 30), (20, 20), (30, 15), (35, 14), (60, 12), (110, 11)
A rectangle has a length of (2x + 3) cm and a width of (x + 5) cm.
(a) Find an expression for the perimeter of the rectangle.
Answer:
P = 6x + 16
Step-by-step explanation:
the perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is the length and w the width ) , then
P = 2(2x + 3) + 2(x + 5) ← distribute both parenthesis
= 4x + 6 + 2x + 10 ← collect like terms
= 6x + 16
this is the answer i do hope u understood it
a transporter has one lorry and five pickups. the lorry can carry 100 bags of maize while each pickup can carry 20 bags. the transporter has to transport maize to a school. the lorry makes 5trips. two of the pickups make 7 trips each while the rest make 8 trips each. find the number of bags of maize that was transported to the school if each vehicle was full every trip made
Answer:
1100 bags, above is the solution to the question
Solve for x:
3x + 5 = 5x – 9
Answer:
x=7
Step-by-step explanation:
Please help! Thank u so much
Answer:
x= 11/3
Step-by-step explanation:
6x-8=3+3x
6x-8+8=3+3x+8
6x=3x+11
6x-3x=3x+11-3x
3x=11
3x/3=11/3
x=11/3
HELP QUICK which function has the greater rate of change
Answer:
Function A i think.....
Step-by-step explanation:
Find the slope, midpoint and distance using these points: (6,-5) (-4,8)
Carlos was given the problem "Evaluate the expression 2x^2 + 5 when x=3." Carlos wrote the answer 41. Was he correct? Explain.
hi can someone help me with my question, which is 2 ( 3 + x) - 7 = x + 5?
Answer: x=6
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*(3+x)-7-(x+5)=0
(2 • (x + 3) - 7) - (x + 5) = 0
x - 6 = 0
Solve : x-6 = 0
Add 6 to both sides of the equation :
x = 6
Answer:
x = 6
Step-by-step explanation:
2(3+x)-7=x+5
We move all terms to the left:
2(3+x)-7-(x+5)=0
We add all the numbers together, and all the variables
2(x+3)-(x+5)-7=0
We multiply parentheses
2x-(x+5)+6-7=0
We get rid of parentheses
2x-x-5+6-7=0
We add all the numbers together, and all the variables
x-6=0
We move all terms containing x to the left, all other terms to the right
x=6
ANSWER QUICK PLEASE!!!!
Answer:
A
Step-by-step explanation:
A would be the answer because The distance you shoot from has no effect on shooting accurcy.
plz help pllzz 35 points
Answer:
$18 an HOUR
Step-by-step explanation:
Noah earned $232.70 working for 13 hours.
We are trying to find each hour,
We can make this into a FRACTION.
232.70/13 = 1/x
Multiply across,
13x=232.70
232.70/13=17.9
We can round this to $18 :D
4, -8, 16, _, 64
What is the 4th missing term?
yo lo yolo trol
Step-by-step explanation:
nnsnsns
giving brainlist for correct answer. :))
Answer:
162 cubes
Step-by-step explanation:
The formula for finding the volume of a rectangular prism is length x width x height.
6 x 3 x 4.5 = 81
Since each cube is only half a centimeter, we need to multiply this by two.
81 x 2 = 162 cubes
How many perfect cubes are there between 2 to 200 ?
ANSWER fast
Answer:
Three
Step-by-step explanation:
The perfect cubes between 2 to 200 are
[tex] {3}^{3} = 27 \\ \\ {4}^{3} = 64 \\ \\ {5}^{3} = 125 \\ [/tex]
Hence, there are only three perfect cubes 27, 64 and 125 between 2 to 200.
Here is the charge at a car park in Spain.
Car park = 0.024 euros per minute
Jon parked his car in this car park.
Jon drove into the car park at 1045
When he drove out of the car park he had to pay 8.40 euros.
At what time did Jon drive out of the car park?
Answer:
Given : car park charges 0.018 euros per minute.
claude parked his car in this car park at 13:15.
he had to pay 4.50 euros.
To Find : at what time did claude drive out of the car park
Solution:
car park charges per minute = 0.018 euros
Parking Charges paid = 4.50 Euros
Time car parked for = 4.50/0.018
= 250 minutes
= 4 hr 10 minutes
parked his car at 13:15
Parked for 4 hr 10 min
claude drive out of the car park = 13+4 = 17 hr
15 + 10 = 25 min
claude drive out of the car park at 17 : 25
please mark brinliest
Jon drive out of the car park at 16 : 35
What is Division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, car park charges 0.024 euros per minute.
Jon parked his car in this car park at 10:45.
he had to pay 8.40 euros.
Time car parked for = 8.40/0.024
= 350 minutes
= 5 hrs 50 minutes
parked his car at 10:45
Parked for 5 hrs 50 mins
Jon drive out of the car park = 10:45 + 5:50
= 16:35
Thus, Jon drive out of the car park at 16 : 35 .
Learn more about Division from:
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#SPJ2
can someone explain this to me
Answer:
the question is mistyped.. they are trying to ask for the area.. not are.. :P soooo ... to answer the question that is trying to be asked.. and not the one that is being asked.. b/c there isn't really an answer to what is the are.... :/
Step-by-step explanation:
area of a triangle is 1/2 area of the box that the triangle makes 1/2 hmm , hence the fomula.. 1/2*base*height.... b/c base*height is the area for a box... soooo ...
for this triangle it's 1/2* 3 * 4= 6 :)
note: even thou this is not a right triangle.. we still know the height of it.. the graph is showing us that. so our formula still works... for this one if we didn't know height.. we might have to use sin() or cos() to figure out height.. but here it's given. luckily :)
What is cos 45º?
O A.
1
2
O B. 7 /
O C. 13
1
O D.
E. 1
0
OF A
F. 3
Answer:
The exact value of cos(45°) is √(2) / 2.
Step-by-step explanation:
Answer:
Answer:√2/2=cos45
√2/2×√2/√2=2/2√2
1/√2
Mr. Majors ordered six hot dogs and a bucket of popcorn at the concession stand. If the popcorn
was $3.20, and the total was $18.20, what was the price of one hot dog?
Answer:
The cost of one hot dog is $2.50
Step-by-step explanation:
You need to subtract $3.20 from $18.20 to get $15.00. Then you need to divide $15.00 by 6 to get $2.50.
The line y = 0.5x + 8 passes through (-10, a) and (-20, b). Find the values of a and b.
Answer:
Step-by-step explanation:
Write out the equation y = 0.5x + 8. Now focus on the point (-10, a). In the given equation, let y = a and x = -10: a = 0.5(-10) + 8, so that a = 3.
Next, focus on the point (-20, b). Find b: In y = -0.5x + 8, replace x with -20 and y with b: b = 0.5(-20) + 8, or b = -10 + 8, or b = -2
Compare 6 x 10^8 to 3 x 10^6
A) 6 x 10^8 is 2,000 times larger then 3 x 10^6
B)6 x 10^8 is 200 times larger then 3 x 10^6
C)6 x 10^8 is 20 times larger then 3 x 10^6
D)6 x 10^8 is 2 times larger then 3 x 10^6
Answer:
i think B
Step-by-step explanation:
it just seems like the most reliable and best choice
Which of the following is an example of when you would pay sales tax? A) Paid when you buy video games B) Comes out of your paycheck C) Paid when you own a home
HELP PLSSS 50+ POINTSS ASAP
Answer:A
You would pay sales tax when you buy a video games so A
(not sure but pretty sure)
Step-by-step explanation:
This is the second half of the other paper I showed:)!
Step-by-step explanation:
for all of it you should do sum of angles in a triangle
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Answer:
Commutative property of multiplication
Step-by-step explanation: