Answer:
25x²-60x+36
Step-by-step explanation:
(5x-6)²
Expand the brackets.
(5x-6)(5x-6)
5x(5x-6)-6(5x-6)
Multiply.
25x²-30x-30x+36
Add or subtract the like terms.
25x²-60x+36
Perfect squares trinomials are those expressions which are found by squaring binomial expressions. The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
What are perfect squares trinomials?Perfect squares trinomials are those expressions which are found by squaring binomial expressions. A few examples of perfect squares trinomials are,
a² + b² + 2ab = (a + b)²
a² + b² - 2ab = (a - b)²
The expansion of the given binomial expression, (5x - 6)² can be done as,
(5x - 6)²
= (5x)² + 6² - 2(5x)(6)
= 25x² + 36 - 60x
Hence, The expansion of the given binomial expression, (5x - 6)² is (25x² + 36 - 60x).
Learn more about Perfect square trinomials:
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if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
PLEASE ANSWER ASAP FOR BRAINLIEST!!!!!!!
Answer:
2144.66
Step-by-step explanation:
V = 4/3 π r^3
Answer:2144.66
Step-by-step explanation:
formula for volume of a sphere- v=4/3 pi r^3
v=4/3 pi 8^3
V= 4/3 pi 512
v=2048pi
v=2144.66
Given that y varies inversely with x, if x =7 and y = 4, what is y when x = 2?
Answer:
y = 14
Step-by-step explanation:
y ∝ [tex]\frac{1}{x}[/tex]
=> y = [tex]\frac{k}{x}[/tex] -------------(1)
Where k is the constant of proportionality
Now,
x = 7, y = 4
Putting in (1)
4 = [tex]\frac{k}{7}[/tex]
So,
=> k = 28
Now y = ? when x = 2
Putting x and k in (i)
y = [tex]\frac{28}{2}[/tex]
y = 14
Answer:
[tex]y=14[/tex]
Step-by-step explanation:
[tex]y \propto 1/x[/tex]
[tex]y=k/x[/tex]
[tex]4=k/7[/tex]
[tex]4 \times 7 = k[/tex]
[tex]28=k[/tex]
[tex]y=28/x[/tex]
[tex]y=28/(2)[/tex]
[tex]y=14[/tex]
What is the question?
Answer:
(23, 4)
Step-by-step explanation:
If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.
Step 1: Rewrite 2nd equation
x = 5y + 3
Step 2: Substitution
2(5y + 3) - 5y = 26
Step 3: Distribute
10y + 6 - 5y = 26
Step 4: Combine like terms
5y + 6 = 26
Step 5: Isolate y
5y = 20
y = 4
Step 6: Find x
x - 5(4) = 3
x - 20 = 3
x = 23
And we have our final answer!
Answer:
(23,4)
Step-by-step explanation:
x-5y=3
+5y=+5y
x=3+5y
-- Plug that into X for the other Equation
2(3+5y)-5y=26
Solve for y
2(3+5y)-5y=26
Distribute the 2
6+10y-5y=26
Simplify
6+5y=26
-6 =-6
5y=20
(divide by 5)
y=4
plug 4 in the either equation and solve for x
x-5(4)=3
x-20=3
+20=*20
X=23
Dylan scored a total of 48 points in the first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?
Answer:
g = 48 divided by 4
Step-by-step explanation:
Answer:
g=48/4
Step-by-step explanation:
this thing / mean divided
How do you find the radius when the circumference is given?
Step-by-step explanation:
r = c/2π
there are six black socks, 6 blue socks, 12 white socks, and 4 pattern socks in the drawer. what is the probability of pulling a blue sock replacing it and then drawing a pattern sock out of the drawer. answers 5/14 5/28 3/98 6/7
Answer:
3/98
Step-by-step explanation:
six black socks, 6 blue socks, 12 white socks, and 4 pattern socks= 28 socks
P( blue ) = blue /total = 6/28 = 3/14
Replace it
six black socks, 6 blue socks, 12 white socks, and 4 pattern socks= 28 socks
P ( pattern) = pattern/total = 4/28 = 1/7
P( blue,replace, pattern) = 3/14*1/7 = 3/98
Using the given points, determine the slope.
(8, 1) and (8, -4)
slope = -5
slope = 0
slope is undefined
Answer:
slope is undefined
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (-4 -1)/(8-8)
= -5/0
We cannot divide by zero so the slope is undefined
Answer:
Slope is undefined .
Step-by-step explanation:
(8, 1) (8, -4)y2 - y1
m = ---------------
x2 - x1
-4 - 1 -5
m = --------------- = ----- - = 0
8 - 8 0
Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______
Answer: [tex]f(g(x))=25x^{2}+20x+2\\[/tex]
Step-by-step explanation:
(f·g)(x) also means f(g(x)).
So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.
[tex]f(g(x))=5(5x^{2}+4x)+2[/tex]
Now distribute the 5.
[tex]f(g(x))=25x^{2}+20x+2[/tex]
This is as simplified the equation gets as it is not factor-able.
which rule would best describes this pattern 8,4,10,6,12,8,14
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
please help, it is maths, brainliest will be given
Answer:
V = 1330.5 cm³
Step-by-step explanation:
Diameter = 11 cm
Radius = 5.5 cm
Height = 14 cm
Now, The volume:
Volume of Cylinder = [tex]\pi r^2h[/tex]
V = [tex](3.14)(5.5)^2(14)[/tex]
V = [tex](3.14)(30.25)(14)[/tex]
V = 1330.5 cm³
Answer:
1330.5 cm³
Step-by-step explanation:
The volume of a cylinder is equal to πr²h.
Where r is the radius and h is the height.
The diameter is 11 cm, so the radius will be 5.5 cm.
π(5.5)²(14)
π(30.25)(14)
423.5π = 1330.464489
Rounded to 1 decimal place will be 1330.5 cm³.
Which graph represents the following system of inequalities.
Answer: Graph C is correct
Step-by-step explanation:
The region below the dashed red line is y < 4/3x +2
The region below the solid purple line is y ≤ -1
The region below and left of the solid green line is y ≤ -3x
Answer:
C is correct
Step-by-step explanation:
Yes, most def
Simplify: -8y-(x-4x) + 3y
Answer:
-5y+3x
Step-by-step explanation:
-8y-(x-4x) + 3y
= -5y-(x-4x)
= -5y+3x
Answer: -5y+3x
Step-by-step explanation:
Which fraction is closer to 1 than 0?
3
8
5
10
7
12
6
14
Answer:
[tex]7/12[/tex]
Step-by-step explanation:
[tex]3/8=0.375[/tex]
[tex]5/10=0.5[/tex]
[tex]7/12 \approx 0.58333333333[/tex]
[tex]6/14 \approx 0.42857142857[/tex]
Therefore, 7/12 is the closest to 1 than 0.
What is the next number in the pattern pattern below?
3,5,9,15,23
A.31
B.33
C.35
D.37
a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Since 1 gram = 353/10000 ounces, then to make the right side 1, you must multiply by the reciprocal, or 10000/353 to make it 1. Then you get 10000/353 grams = 1 ounce. Now, we divide and round to the nearest tenth. This is 28.3 grams.
Please please help guys
Answer:
234.85
Step-by-step explanation:
This was easy!!!
(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!
Answer: C. $234.85
Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month) = $234.85 (how much the gardener made)
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2) How does the slope of g(x) compare to the slope of f(x)? The slope of g(x) is the opposite of the slope of f(x). The slope of g(x) is less than the slope of f(x). The slope of g(x) is greater than the slope of f(x). The slope of g(x) is equal to the slope of f(x).
Answer:
B. The slope of g(x) is less than the slope of f(x)
Step-by-step explanation:
The slope of f(x) is 2/1 or just 2 and the slope of g(x) is 1/2, less than f(x).
Answer:
B.
Step-by-step explanation:
Solve for q. –10 + 10q = 9q
Answer:
q= 10
Step-by-step explanation:
9q - 10q = -10
-q = -10
q= -10/-1 = 10
Answer:
q=10
Step-by-step explanation:
subtract 10q from both sides than divide-10 by -1
You are given the sequence of digits "0625", and can insert a decimal point at the beginning, at the end, or at any of the other three positions. Which of these numbers can you not make? 6 25 6 25 5 8 5 8 1 16 1 16 25 4 25 4 25 2 25 2
Answer:
25/4
Step-by-step explanation:
Because I say so
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
Find the area of the following shape, given its curves are made from parts of circles with diameters indicated on the diagram. Give your answers in terms of π .
Answer: Area = 26π + 20 cm²
Step-by-step explanation:
There are 2 large semicircles = 1 large circle
There are 2 small semicircles = 1 small circle
There is 1 rectangle.
Find the Area of each shape above and then find their sum.
1) Large Circle: A = πr², d = 10 --> r = 10/2 = 5
A = π(5)²
= 25π
2) Small Circle: A = πr² , d = 2 --> r = 2/2 = 1
A = π(1)²
= π
3) Rectangle: A = length × width, L = 10 w = 2
A = 10 × 2
= 20
Total = Large + Small + Rectangle
= 25π + π + 20
= 26π + 20
I just wanted to say that the person who wrote the actual answer is a life saver and that answer is very correct :)
The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.
Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104
Answer:
I believe it is 104 degrees.
Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.
Answer:
104 deg
Step-by-step explanation:
Total number of medals: 31 + 20 + 6 +6 + 6 = 69
Number of Australian medals: 20
Fraction of total medals won by Australia: 20/69
A circle has a total of 360 deg.
Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.
20/69 * 360 = 104.3
Answer: 104 deg
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
What is the value of a in the equation 3a+b = 54, when b = 9?
15
18
21
27
Answer:
15
Step-by-step explanation:
3a+9=54
-9 -9
3a=45
:3 :3
a=15
Solving a Story Problem Involving Slope Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days. Will Mary or Julie reach her goal first? Explain.
Answer:
Step-by-step explanation:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day.
Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day.
Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Answer:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
brainliest plzzzz
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?
Answer:
6
Step-by-step explanation:
Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:
$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$
The last digit to appear in the units position of a number in the Fibonacci sequence is $6.
The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].
The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.
Learn more here:
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1/2log25-2log3+log8
Answer:
log base 10 of 40/9, log(40/9), or 0.6478
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into the calc because the log base 10 of those numbers given will be nasty decimals.
► Find the surface area of cylinder whose base diameter is 5cm
and height is 30cm.(pi=22/7)
Answer:
510.71 cm^2Solution,
[tex]diameter = 5 \: cm \\ height = 30 \: cm \\ surface \: area \: of \: cylinder \\ = 2\pi \: r(h + r) \\ = 2 \times \frac{22}{7} \times 2.5(30 + 2.5) \\ = 5 \times \frac{22}{7} \times 32.5 \\ = 510.71 \: {cm}^{2} [/tex]
hope this helps...
Good luck on your assignment...
Answer :
Here,
Diameter = 5cm so, radius = 5/2 = 2.5
Height = 30 cm
Surface area of a cyclinder = 2πr(r+h)
= 2 × 22/7 × 2.5 ( 30 + 2.5 )
= 5 × 22/7 × 32.5
= 510.71 cm²