Answer: [tex]2 + \sqrt{3}[/tex]
==============================================
Work Shown:
[tex]\frac{6 + \sqrt{27}}{3}\\\\\frac{6 + \sqrt{9*3}}{3}\\\\\frac{6 + \sqrt{9}*\sqrt{3}}{3}\\\\\frac{6 + 3\sqrt{3}}{3}\\\\\frac{3(2 + \sqrt{3})}{3}\\\\2 + \sqrt{3}\\\\[/tex]
The idea with simplifying the square root (steps 2 through 4) has us factoring 27 so that one factor is a perfect square. We want the largest perfect square factor possible.
That way when we use the rule sqrt(x*y) = sqrt(x)*sqrt(y), we pull out that perfect square to then use the rule sqrt(x^2) = x where x is nonnegative.
After simplifying the square root, we factor out the GCF and then cancel out the 3's.
In 1980, a Domino's large pizza cost $4.99.
What would be the cost of that pizza in 2000?
Answer:
i cant understand it brief it plz
Step-by-step explanation:
Find the equation of the line with the following properties slope does not exist and the
line passes through (-5,-2).
Answer:
y = -2
Step-by-step explanation:
Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 5x2 + 12?
The graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
What is graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The graph of the two functions is attached with the answer below. For the first graph, we will get the parabola whose vertex lies on the origin.
For the function h(x) = 5x² + 12 the graph will again parabolic having its vertex at ( 0,12) and the parabola is more compact than the parabola of the function F(x) = x².
Therefore the graph of the function h(x) = 5x² + 12 is more compact than the graph of function f(x) = x² and both the graphs represent parabolic curve along y axis.
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For Mindy's party, she bought 26.4 pounds of meat to make tacos. The night before, she split the meat evenly into 4 containers so it would fit into the refrigerator. How many pounds of meat are in each container?
Answer:
Step-by-step explanation:6x4.3
state A,B and C have hosted a certain sporting event a total of 75 times. state A had hosted the sporting event 9 more times then state C. together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted. determine the number of times this sporting even was hosted by each of the three states
Answer:
Step-by-step explanation:
Total events = 75
A + B + C = 75 --------------(I)
State A had hosted the sporting event 9 more times then state C.
A = C + 9 ---------------------(II)
Together, state A and state C have hosted five more than four times the number of this sporting event that state b hosted.
A + C = 4B + 5 ---------------------(III)
Substitute A = C + 9 in (III)
C + 9 + C = 4B + 5
2C + 4 = 4B + 5
2C = 4B + 5 - 9
2C = 4B - 4
Divide the whole equation by 2
2C/2 = 4B/2 - 4/2
C = 2B - 2 -------------(a)
Plugin the C = 2B - 2 in (II)
A = C + 9
A = 2B - 2 + 9
A = 2B + 7 ------------------(b)
Plugin the value of A & C from (a) & (b) in equation (I)
A + B + C = 75
2B + 7 + B + 2B - 2 = 75
Add the like terms
2B + B + 2B + 7 - 2 = 75
5B + 5 = 75
5B = 75 - 5
5B = 70
B = 70/5
B = 14
Plug in B value in equation (a)
C = 2B - 2
C = 2*14 -2
= 28 - 2
C = 26
Plugin B value in equation (b)
A = 2B + 7
= 2*14 + 7
= 28 + 7
A = 35
State A has hosted 35 times
State B has hosted 14 times
State C has hosted 26 times
A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes
Answer:
The following are the answer:
In option a "No".
In option b "Yes".
Step-by-step explanation:
In choice a:
Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.
It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.
In choice b:
we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.
Fill in the next two term in the pattern 0.16 0.35 0.54 ---- ----
Answer:
0.73 and 0.92
Step-by-step explanation:
The answers are 0.73 and 0.92 because:
1) Subtract 0.54 with 0.35, you will get 0.19
2) Therefore, we know the patter is adding 0.19 for each number
3) 0.54 + 0.19 = 0.73
4) 0.73 + 0.19 = 0.92
Hope this helps!
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The next two terms in the pattern will be 0.73 and 0.92.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The given series is an arithmetic series. Therefore, the common difference between any of the two terms in the series is,
Common difference = 0.35 - 0.16 = 0.19
Now, the next term of the series will be,
Next term = Previous term + common difference
= 0.54 + 0.19
= 0.73
Next term = 0.73 + 0.19
= 0.92
Hence, the next two terms in the pattern will be 0.73 and 0.92.
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Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?
Answer:13.52
Step-by-step explanation:2,81+3.67=20-6.48=13.52
9|9-8x|=2x+3 solve the equation
Answer:
the answer is this because x=39/37,6/5
What is 450,000,000 written in scientific
notation?
The original price of a camera was $50 and the sale price this week is $38. What is the percent of change in the price
of the camera?
A.24% B. 12% C.20% D.25%
Answer:
24%
Step-by-step explanation:
x (original price) = 50$
y (sale price) = 38$
p (percentage) = ?
p = (x - y) / x
p = (50-38) / 50
p = 12/50
p = 0.24
p = 24%
Answer:
24%
Step-by-step explanation:
i did it in my head
how many fourths are in one third?
Answer:
there is one fourth in one third
Step-by-step explanation:
1/3 < 1/2
one third is less than two fourths (one half)
1/3 > 1/4
but it is more than one fourth, so one fourth fits in one third.
6. What is the density of water?
Answer:
997 kg/m³
Step-by-step explanation:
I just looked it up, hopefully it's the right answer
The price of a sweater was reduced from 20$ to 12$. By what percentage was the price of the sweater reduced?
Answer:
60%
Step-by-step explanation:
To find the reduction percentage, divide 12 by 20, then multiply by 100:
12/20
= 0.6
0.6(100)
= 60
So, the sweater was reduced by 60%
Answer:
60%
Step-by-step explanation:
[tex]\frac{12}{20} * \frac{x}{100}[/tex]
12 * 100 is 1200
1200/20 = 60
So, therefore the sweater was reduced by 60%.
Hope this helps, have a great day:)
Which expressions are equivalent to the given expression?
Answer: 1/ x^2y^5 or the third option from the top
Step-by-step explanation:
3. Machine A packs 4, cartons in 5 hour.
Machine B packs 4 cartons in a hour.
Which machine packs faster? How
many cartons per hour can the faster
machine pack?
Machine:
Answer:
Machine B is the faster machine because it packs 4 cartons in an hour while the other machine takes 5 hours to pack 4 cartons. The faster machine can pack 4 cartons in an hour.
Step-by-step explanation:
if 49+ b2= 169, what is b2?
Find the domain of the graph
Answer:
The domain should be on the x-axis.
I might be wrong.
Please please help fast
Answer:
no I'm pretty sure. hope it helps
Answer: No
Step-by-step explanation:
First convert 10 feet to yards and also 20 inches to yards.
10 feet to yards is 3.3 and 20 inches to yards is 0.55
Now add them to see if they equal to 4 or greater than.
0.55 + 3.33= 3.88
3.88 is less than 4 so Anis will not be able to make a fence
1) Between which two integers does the square root of 48 lie? *
Answer:
6 and 7
Step-by-step explanation:
I think you mean 'the sq rt of 48 lies between what 2 integers.'
The answer is 6 and 7.
Use the distributive property to write an equivalent variable expression. -5(5q - 4)
Write the sentence as an equation 175 is equal to 182 multiplied by g
which is right??????
Answer:
the distance from a to c is 10
Step-by-step explanation:
this is because the line in the middle divides the angle into equal sizes what the marks mean on it
Answer:
the distance from A to C is 10units
Step-by-step explanation:
A to B and A to C share the same distance
Translate and solve: 94% of what number is 611?
Answer:
574.34
Step-by-step explanation:
MATH
Please heeeeeeeeeeeeeeelp
Study the graphs of f(x) and g(x). Which statement describes g(x) as a transformation of f(x) and identifies an equation for g(x)?
Answer:
D
Step-by-step explanation:
-1+2z-z^2 Terms: ? Coefficients: ? the constant term is: ?
Answer:
Terms: -1, 2z, -z²
Coefficients: 2, -1
Constant Term: -1
Step-by-step explanation:
Terms are a set of numbers. It can be accompanied by a variable or not.
Terms: -1, 2z, -z²
Coefficients are the numbers that are in front of a variable.
Coefficients: 2, -1
Constant term is just a number, with no variable attached to it.
Constant Term: -1
Part D
Describe any patterns or trends you noticed when finding the products in part
c
Answer:
The middle two terms cancel out each time, and the final product is x2 plus the product of the positive coefficients of i in the original expression. All imaginary parts either cancel out or get replaced with -1, leaving an expression that doesn’t include imaginary numbers.
Step-by-step explanation:
Directions: Find the number of hours worked each day.
Answer:
From my calculations it should be 9 hours
solve 0.5 (2x - 4) = -17 in variable
Answer: x = 1 + 0.5c
Step-by-step explanation: