solve the quadratic by completing the square x^2-10+18=0
Answer:
Data set: 47, 45, 44, 41, 48
1. Find the mean.
Mean = 47 + 45 + 44 + 41 + 48
5
= 225
5
= 45
2. Find each absolute deviation.
Absolute deviations: 2, 0, 1, 4, 3
What is the mean absolute deviation (MAD) for the data set?
MAD =
Step-by-step explanation:because thats it because yea
When does an equation involving rational expressions have straneous root
Answer:
Many mathematical operations are reversible, meaning you can go not just from A to B, but by the same reason go from B back to A.
Example x + 4 = 7. Subtract 4 from each side to get x = 7 - 4 = 3. But you could, if you wished, go from x = 3 to x + 4 = 7 by simply doing the opposite, adding 4.
Now consider an operation that is NOT reversible.
Example: Given sqrt(x) = x - 2. Square each side to get x = (x - 2)^2 =x^2 - 4x + 4, or
x^2 - 5x + 4 = 0. Factoring gives (x - 1) (x - 4) = 0. So, IF the original equation holds for a real number x, then the only possibilities are x = 1, x = 4.
If you plug x = 4 back into original equation, you get sqrt(4) = 4 - 2, which is true. But, if you plug in x = 1, you get sqrt(1) = 1 - 2, which is NOT true, as sqrt(1) = 1, not -1. The logic of the derivation was that, IF original equation were true, then x could possibly be only 1 and/or 4. In effect, it was really telling you what x is NOT, namely any number besides 1 and 4. Once you test the two “candidates” you see that one works and the other doesn’t.
Why does this happen? It has to do with the fact that square root is only a principal branch. Just as sqrt(16) is only 4 and not -4, so we are dealing with a limited possibility with which to start. Squaring glosses over this, and when you solve a quadratic equation, it generally gives two solutions (not nec. real). Because sqrt(x) started out to be nonnegative, that created the problem at end.
the diagram shows a tile in the shape of a trapizium.
work out the area of the tile.
12,12,26
Step-by-step explanation:
(a+b)×h
_______
2
= (12 + 12 ) × 26
= (24) × 26
= 624 ÷2
= 312
2/9 divided by 5/12
simplest form
the answer is a fraction
The solution in form of fraction is,
⇒ 8 / 15
We have to given that,
An expression to solve,
⇒ 2/9 divided by 5/12
Now, We can divide the numbers into form of fraction as,
⇒ 2/9 ÷ 5/12
⇒ 2/9 × 12/5
⇒ 24 / 45
⇒ 8 / 15
Therefore, The solution in form of fraction is,
⇒ 8 / 15
Learn more about the fraction visit:
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If MacCallum drives 325 miles in 5 hours, how far does he drive in 1 hour?
Answer:
65 miles in one hour
Step-by-step explanation:
MacCallum drove 325 miles in 5 hours so if you divide the amount of miles( 325) by the amount of hours to get to one, 5/5, you get 325/5=65/hour
Please help ASAP giving lots of points to the best and most helpful answer I don’t care if it’s just the answer I don’t need an explanation thanks
Answer:
Terms Are
8 , 16 , 32
5 , 10 , 15 , 20
3 , 6 , 12
All of them are less than 50.
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
Answer:
I think It would be B lest goooooooo
Answer: a. -3a^3 - 6a^2 + 7a - 13
Step-by-step explanation:
(-8a^2 + 7a - 9) - (3a^3 - 2a^2 + 4)
-3a^3 -6a^2 + 7a - 13
Please help! (will mark as brainliest)
Please help with this ASAP
Answer:
[tex]\frac{2}{5}[/tex] and [tex]\frac{2}{7}[/tex]
Step-by-step explanation:
We want to work backwards. Currently we have [tex]\frac{ }{ }[/tex][tex]\frac{?}{?}[/tex] ÷ 5 = [tex]\frac{2}{25}[/tex].
If we multiply both sides by 5, we get [tex]\frac{?}{?}[/tex] = [tex]\frac{2}{25}[/tex] × [tex]\frac{5}{1}[/tex].
We can use multiplication of fractions to solve this. To multiply fractions we multiply the two numerators together and multiply the two denominators together, giving an answer of [tex]\frac{?}{?}[/tex] = [tex]\frac{10}{25}[/tex].
This can be simplified to [tex]\frac{2}{5}[/tex].
We can use the same method on the other equation to get an answer of [tex]\frac{2}{7}[/tex].
**This content involves multiplying fractions and questions with the blanks not isolated, which you may wish to practice.
(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)
Determine whether the relation is a function. Explain pls
Answer:
The given relation is not a function.
Step-by-step explanation:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).
Given the following relation: {(7, 4), (5, - 1), (3, - 8), (1, - 5), (3, 6)}
There is an input value (x = 3) that has two corresponding outputs (y-values): y = -8 and y = 6.
Remember that a function can only take on one output for each input.
It also helps to do the Vertical Line Test, which allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. To use the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value.
Attached is a screenshot of the plotted points on a graph, where I performed the Vertical Line Test. The green line is the vertical line that contains two points that made the relation invalid as a function.
Please mark my answers as the Brainliest if you find my explanation helpful :)
what is 6 7/16 as an imporoper fraction
Answer:
answer is
frghhfgyyuu67.5
x + 3 + x - 8 + x = 55
x = ?
Answer:
x=30
Step-by-step explanation:
isolate the numbers that don't contain the variable, then divide the factors that don't contain the variable.
Answer:
x=20
Step-by-step explanation:
Given: x+3+x-8+x=55
Combine like terms: 3x-5=55
Add 5 to the other side: 3x=60
Divide both sides by 3: X=20
given that (x-3)(Ax²+bx+c)=x³-7x-6,find the value of A,B and C
Answer:
Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C
Given that (x-3) (Ax²+bx+c) = x³-7x-6, find the value of A, B and C
Given any right triangle, the sum of the areas of the squares formed by the legs is equal to the area of the hypotenuse. This is referred to as the:
Question 5 options:
A) pythagorean theorem
B) perimeter
C) surface area
D) area
Explanation:
You are probably familiar with the formula [tex]a^2+b^2 = c^2[/tex] which is the pythagorean theorem.
The [tex]a^2[/tex] is the square of the first leg 'a', while [tex]b^2[/tex] is the square of the second leg b. Adding those two squares leads to the square of the hypotenuse c, aka [tex]c^2[/tex]. This only works with right triangles, which are triangles that have a 90 degree angle.
refers to an endless number of terms that follows a sequence and end with ellipsis
can someone please help me with this
Answer: 4?
Step-by-step explanation: 12 inches length times the 4 inches width = 48 square inches. but then you have to subtract the (22 times 2 = 44)
48-44=4???
plz help. You have a recipe that calls for 5 parts (cups) of water for every 3 parts (cups) of flour. you use 15 cups of water. How much flour do you need?
Answer:
b
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
[tex]\left(\sqrt{2}+1\right)\left(5+\sqrt{2}\right)[/tex]
[tex]( \sqrt{2} + 1)(5 + \sqrt{2}) \\ = \sqrt{2} (5 + \sqrt{2} ) + 1(5 + \sqrt{2} ) \\ = 5 \sqrt{2} + 2 + 5 + \sqrt{2} \\ = 7 + 6 \sqrt{2} [/tex]
Answer:7 + 6√2
Answer:
[tex]\huge\boxed{\sf 7 + 6\sqrt{2}}[/tex]
Step-by-step explanation:
[tex](\sqrt{2} +1)(5+\sqrt{2} )\\\\= \sqrt{2} (5+\sqrt{2} )+1(5+\sqrt{2} )\\\\= 5\sqrt{2} + (\sqrt{2})^2+5+\sqrt{2} \\\\= 5\sqrt{2} + 2 + 5 + \sqrt{2} \\\\= 2+5+\sqrt{2} + 5\sqrt{2} \\\\= 7 + \sqrt{2} (1+5)\\\\= 7 + 6\sqrt{2} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807I dunno how to do this
Answer:
2z-4
Step-by-step explanation:
Hope that helped! Can I also get brainliest? I need a few more to advance, if not thank you anyways and have a nice day!!!
Answer:
2 − 4 Is the correct answer
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
A Baker's recipe uses for cups of water for every 9 cups of flour. Which ratio of cups of water to cups of flour will make the same recipe?
Answer:
It would be 4 to 9 or 4/9!
Step-by-step explanation:
What value of x would make the value of the expression 0? −10+11+x
Answer:
x=-1
Step-by-step explanation:
-10+11+x=0
-11 -11
-10+x=-11
+10 +10
x=-1
Nevaeh has $560 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $383.32.
She buys 4 bicycle reflectors for $9.09 each and a pair of bike gloves for $21.07.
She plans to spend some or all of the money she has left to buy new biking outfits for $39.75 each.
Write and solve an inequality which can be used to determine
x
x, the number of outfits Nevaeh can purchase while staying within her budget.
Answer:
22/3
Step-by-step explanation:
because it is
Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6
Answer:
C.
Step-by-step explanation:
hope this helps♡^.^^_^
Answer:
C
Step-by-step explanation:
-6 is more to the left of the number line than -3
What are the dimensions of A = [ 6 4 1 ]
5 -7 2
Explanation:
We have 2 rows and 3 columns, which directly leads to the answer 2 x 3
Always list the number of rows first, followed by the number of columns.
Answer:
Its 3x2
I swear I just took the test
Step-by-step explanation:
What is the point slope form for (-8,3) and m=5
Hello There!
y-y1=m(x-x1)
y-3=5(x+8)
y-3=5x+40
[tex]y=5x+43[/tex]
Hope this helps!
[tex]GraceRosalia[/tex]
please help me im giving brainliest
How do you write 0.27777777777777..... as a whole number
Answer:
i think 27777777777777/100000000000000
Step-by-step explanation:
Answer:
Convert it to a whole number
Step-by-step explanation:
by multiplying it with 1000000000000
=2.78 x 10 ^ -15
Use the remainder theorem to determine if x=6 is a zero of the following polynomial, and find the quotient and the remainder.
p(x)=x^4+4x^3-66x^2+45x-54
A. No, x=6 is not a zero of the polynomial.
The quotient is x^3-2x^2-54x+369, and the remainder is -2,268.
B. Yes, x=6 is a zero of the polynomial.
The quotient is x^3-2x^2-54x+369, and the remainder is 0.
C. Yes, x=6 is a zero of the polynomial.
The quotient is x^3+10x^2-6x+9, and the remainder is 0.
D. No, x=6 is not a zero of the polynomial.
The quotient is x^3+10x^2-6x+9, and the remainder is 0.
what is the answer to (-15)− (2)x(-10+(+3)?
Answer:
-1
Step-by-step explanation:
-15-2(-7)
-15+2·7
-15+14
-1
Need some help and fast
Answer:
highest 7/8, 0.5, -1/4, -1 1/5 lowest
Answer: i'm not certain but i think its -1 1/5 first then -1/4 next is 0.5 then 7/8
once again not certain but i think that's the answer