Given:
The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].
To find:
The H.C.F. of the given expressions.
Solution:
The two expressions are:
[tex]2x^2(x+2)(x-2)[/tex]
[tex]4x(x+2)(x-4)[/tex]
It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.
[tex]H.C.F.=2x(x+2)[/tex]
Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].
The scale factor of two similar hexagons is 5:12. The smaller hexagon has an area of 24 square units. What is the area of the larger hexagon?
Answer: [tex]138.24\ \text{square units}[/tex]
Step-by-step explanation:
Given
The scale factor of two similar hexagons is 5:12.
The smaller hexagon has an area of 24 square units
we know, the ratio of two similar figures is equal to the square of the scale factor.
Suppose the area of the larger hexagon is A
[tex]\therefore \dfrac{24}{A}=\left[\dfrac{5}{12}\right]^2\\\\\Rightarrow A=\left[\dfrac{12}{5}\right]^2\times 24\\\\\Rightarrow A=138.24\ \text{square units}[/tex]
600 students sat a Math exam. If 86% of students passed the exam, the percentage of people who FAILED is
Answer:
the percentage of student who failed r 14%
and their number is 84.
stay safe healthy and happy.Plz help meeeeee…. I need to pass this
WILL MARK BRAINLIEST!
Answer:
1996 and 2000
Step-by-step explanation:
Since P (the population) is represented in thousands, 8000 will be represented by 8.
Plug in 8 as P and solve for t:
P = 2|t - 8| + 4
8 = 2|t - 8| + 4
4 = 2|t - 8|
2 = |t - 8|
Separate this into 2 possible cases:
2 = t - 8 and -2 = t - 8
Solve:
2 = t - 8
10 = t
-2 = t - 8
6 = t
So, the answers are 6 and 10.
The town will have a population of 8000 in 1996 and 2000
At Smith's Bike Rentals, it costs $33 to rent a bike for 9 hours.
How many dollars does it cost per hour of bike use?
Answer:
$3.66
Step-by-step explanation:
I divided 33 by 9
Dana is planning the school picnic and needs to decide what food vendor to
use. She asks 750 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothies Total
120
300
Eighth-graders 180
Ninth-graders 110
90
200
Total
290
210
500
What is the relative frequency of eighth-graders who want fruit smoothies?
26
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Find the perimeter and Area of the rectangle
Answer:
p is 5 by 7 the a is 3 by 6
Step-by-step explanation:
Catherine owns a bakery. She takes x minutes to bake a tray of cookies. The time it takes
is less than 18 minutes. Which inequality represents this?
A. 18 > x
B. x = 18
C. X > 18
D. 18.< x
A line passes through the origin and the point (3.5). What is the slope of the line? 0
3/5
-3/5
5/3
Answer:
5/3 is the slope of the line.
The price of a new home is $350,000. The value of the home appreciates 2% each year. How much will the home be worth in 10 years?
Exponential function
Answer:
$420,000 would be your answer
Step-by-step explanation:
30 + = 45
А
15
в 3,045
с
14
D
60
Answer: 15=45
Step-by-step explanation:30+15=45=15
Answer:
A.15
Step-by-step explanation:
30+15=45
the rectangular top of Kathleen's desk has a length of 24 inches and a width of 17 inches. What is the area of the top of Kathleen's desk in square inches ⇵⇵⇵
Answer:
28
Step-by-step explanation:
A mattress store is having a sale all mattresses are 30% of. Nate wants to know the sale price of a mattress that is regularly $1,000
Answer: $700
Step-by-step explanation:
The store is selling at 30% off.
If a mattress is $1,000, first find out what 30% of $1,000 is:
= 1,000 * 30%
= $300
The store is selling 30% off, this means that they are reducing the price by 30%:
= 1,000 - 300
= $700
The sum of three consecutive integers is 189 . What are the integers?
Answer:
So x+(x+2)+(x+4)=189. so the three numbers are 61, 63, 65.
Help! this is very hard for me and i need help . Thank you!
Answer:
B
Step-by-step explanation:
the volume formula is πr^2(h), so plug in the 4 and 9 you would get 452.16
Help will award brainliest!!!!
IS THE ANSWER A?
Answer:
it is A becuase it passes through 0,0 and 5,5 the rest either pass through 5,5 but not 0,0 and B doesnt pass thorugh 5,5 but does pass thorugh 0,0 so its A
Step-by-step explanation:
what's the slope of (-2,-1) and (4,3)
Answer:
4/6
Step-by-step explanation:
→ Write the slope formula
(y₂ - y₁) ÷ (x₂ - x₁)
→ Substitute in the numbers
(3 - -1) ÷ (4 - -2)
→ Simplify
4/6
Answer:
m = 2/3
Step-by-step explanation:
On a number line 6.49 is located where
Choose the inequality that represents the following graph.
SOMEONE HELPPPPP PLEASEEEE
Answer:
Sin(L) = [tex]\frac{5}{14}[/tex]
Step-by-step explanation:
Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (regarding the angle given)
Sin(L) = [tex]\frac{5}{14}[/tex]
Hope this helps!
Answer:
5/7
Step-by-step explanation:
sin=opposite side/hypotenuse
=10/14(simplify it)
=5/7
The diagram shows a triangle.
What is the value of w?
Answer:
value of W=180-(115+33)
= 180-148
=32
[tex] \sqrt{8 {}^{4} } [/tex]
Answer:
64 will be your answer!!
Step-by-step explanation:
hope it helps..
Thanks again!!
I need help with this one! Please
Answer:
Less than or equal to 0
Step-by-step explanation:
You selected the correct answer.
Hope this helps
A company finds that if it charges x dollars for a cell phone, it can expect to sell 1,000−2x phones. The company uses the function r defined by r(x)=x⋅(1,000−2x) to model the expected revenue, in dollars, from selling cell phones at x dollars each. At what price should the company sell their phones to get the maximum revenue?
Answer:
$500 will give the company the maximum revenue
Step-by-step explanation:
Given
[tex]r(x) = x (1000 - 2x)[/tex]
Required
Price to generate maximum revenue
We have:
[tex]r(x) = x (1000 - 2x)[/tex]
Open bracket
[tex]r(x) = 1000x - 2x^2[/tex]
Rewrite as:
[tex]r(x) = - 2x^2 + 1000x[/tex]
The maximum value of x is calculated using:
[tex]x = -\frac{b}{2a}[/tex]
Where:
[tex]f(x) = ax^2 + bx + c[/tex]
So:
[tex]a \to -2[/tex]
[tex]b = 1000[/tex]
[tex]c = 0[/tex]
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{1000}{-2}[/tex]
[tex]x = \frac{1000}{2}[/tex]
[tex]x = 500[/tex]
c.) The tires of an automobile have a diameter of 22 in. If the wheels revolve 18 times, how many feet does the automobile move? Evaluate for �� and round to the nearest hundredth. (Hint: use Circumference)
Answer:
396
Step-by-step explanation:
22 x 18 = 396
Final answer 396.
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28
What is 5*2x2*8
fytguyhiguyfrttyughbvftgyhbgy ?
Answer:
160
Step-by-step explanation:
Answer: 160
Step-by-step explanation:
estdryfugyikiutphpyqh[uirgpAUIhfouuefu
A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal? A) 9 cm B) 12 cm C) 12v 2 cm D) 24V3 cm 12 VT Fora
10 POINTS!!!!!!! write an equation for a line that goes through the point (-3,-4) and has a slope on -2
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Plz help me this is my last one and I’ll mark as brainliesttt!!
Answer:
That the object is moving
as time goes by the distant goes lower
Step-by-step explanation:
I think
Answer:
the object is moving forward with decreasing speed.
Step-by-step explanation: