Answer:
[tex]f(x)=\frac{1}{4}x^2[/tex]
Step-by-step explanation:
Recall the vertex form of a quadratic equation:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h,k) is the vertex.
We are told that the vertex is (0,0). Therefore:
[tex]f(x)=a(x-0)^2+(0)[/tex]
Simplify:
[tex]f(x)=ax^2[/tex]
So, to finish the equation, we need to find a.
We know that a point is (2,1). Thus, substitute 1 for f(x) and 2 for x:
[tex]1=a(2)^2[/tex]
Square:
[tex]1=4a[/tex]
Divide both sides by 4:
[tex]a=\frac{1}{4}[/tex]
So, our a value is 1/4.
And we can thus complete our equation:
[tex]f(x)=\frac{1}{4}x^2[/tex]
And we are done :)
Eight friends bought a large order of wings. Each of them ate 9 wings. How many total wings were in the order?
Answer:
72 wings
Step-by-step explanation:
[tex]1 \:friend = 9 \:wings\\8 \: friends = x\:wings\\\\[/tex]
Cross Multiply
[tex]x = 9\times 8\\\\x = 72 \:wings[/tex]
The order came with 72 wings. 72 divided by 9=8, 8 times 9=72
35. Explain the difference between the reciprocal of x^2
and the inverse of x^2. (number 35 in the pic)
Answer:
As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of [tex]x^2[/tex] is that [tex]\frac{1}{x^2} =x^{-2}[/tex] and [tex]\sqrt{x} =x^{\frac{1}{2}[/tex].
Step-by-step explanation:
First lets find both the reciprocal of [tex]x^2[/tex] and the inverse of
Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of [tex]x^2[/tex], 1 is the denominator, so
[tex]\frac{x^2}{1} =\frac{1}{x^2}[/tex]
To find the inverse of a function, you first need swap the locations of x and y in the equation
[tex]y=x^2\\\\x=y^2[/tex]
Now, you need to solve for y
[tex]y^2=x\\\\y=\sqrt{x}[/tex]
Now, lets rewrite each of these to better compare them
[tex]\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}[/tex]
As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of
-13.3°C=_________K °C is Celsius and K is Kelvin
Answer:
259.85 K
Formula:
-13.3°C + 273.15 = 259.85K
Step by step solution:
To convert, just add 273.15 to the Celcius value to get the Kelvin value.
Hope this helps!
solve a=9y+3xy for y
Answer:
y=a/(9+3x)
Step-by-step explanation:
Reverse: 9y+3xy=a
y(9+3x)=a
y=a/(9+3x)
What is the square root of -16?
е в
-87
0 ООО
8
[tex]4i[/tex]
[tex]i=\sqrt{-1}[/tex]
[tex]\sqrt{-16}=\sqrt{-1}*4[/tex]
[tex]\sqrt{-16}=i*4[/tex]
[tex]4i[/tex]
Hope this helps.
頑張って!
Add [ -6 + -2 +2] + [-3 + 2 +1]
Answer:
-6Step-by-step explanation:
[tex][ -6 + -2 +2] + [-3 + 2 +1]\\[/tex]
Follow the PEDMAS order of operation
[tex]\\\mathrm{Calculate\:within\:parentheses}\:\left[-6-2+2\right]\::\quad -6\\=-6+\left[-3+2+1\right]\\\\\mathrm{Calculate\:within\:parentheses}\:\left[-3+2+1\right]\::\quad 0\\=-6+0\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-6+0\:\\:\quad -6[/tex]
Answer:
-6
Step-by-step explanation:
the sum of 6 and the product of 8 and x" into mathematical expression
Answer:
6=8x
Step-by-step explanation:
Answer:
6+8x
Step-by-step explanation
We are going to make sure we can do this as best as possible. We need to make sure that the words that you are reading are making sense.
Sum can be taken out because its just 6. We do not know what adds to 6, it could be 1 +5, 2+4, 3+3, -3 and 9, WE DO NOT KNOW. So don't put extra information into the expression, when it is not given.
The and would be an addition to something, because when we are speaking and say the word AND, we want to add to that sentence. So, and is the plus sign.
6+
Then product is multiplication. So 8 times x.
Put it all together and you get the expression:
6+8x
I really hoped that helped you!
What is the simplified value of the expression below? 8*(-3)
Answer:
-24
Step-by-step explanation:
The parentheses means you have to multiply the 2 numbers
Answer:
-24
Step-by-step explanation:
Plus help if u can ❤️❤️
Answer:
0
Step-by-step explanation:
A cone has a volume of 180mm^3. If the height and radius of the cone are equal in length, find the radius r in mm. Round your answer to two decimal places
Answer:
r = 5.56 mm
Step-by-step explanation:
vol of cone = 1/3 π r² h
where
vol = 180 mm³
h = r
find r
plugin values into the formula:
180 = 1/3 * π r³
r³ = (180 * 3) / π
r = ∛171.9
r = 5.56 mm
Answer:
radius = 5.56 mm
Step-by-step explanation:
3.99 4.29 and 2.89 range
Answer:
1.4
Step-by-step explanation:
Sample size: 3
Lowest value: 2.89
Highest value: 4.29
Range: 1.4
formula for calculating the range:
Range = maximum(x_i) - minimum(x_i)
where x_i represents the set of values.
Which answer describes the type of numbers that are dense? whole numbers and integers whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Using number sets, it is found that the set of dense numbers is composed by: rational and irrational numbers
---------------
Numbers can be classified as:
Whole numbers: All positive numbers and 0, so: {0,1,2,...} Integer numbers: Positive or negative, not decimal so: {...,-2,-1,0,1,2,....} Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern). Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339, which can be approximated to the rational 0.1. Real numbers: Rational plus irrational.---------------
A subset is dense of the rational numbers if all numbers can be approximated to rational numbers, and thus, rational and irrational numbers are dense.A similar problem is given at https://brainly.com/question/10814303
replace the values of m and n to show the soulutions of thie equation,
x2+6x-5=0
Name the three angles of the triangle
Answer: Equilateral, Isosceles and Scalene
hope this helped (let me know if it did)
256 over the square root of 256 select all that apply A: Rational B: Integer C: Whole D: Real
Answer:
A:rational hope this helps mark brainlest
Step-by-step explanation:
Which expression is equivalent to StartRoot negative 80 EndRoot? Negative 4 StartRoot 5 EndRoot Negative 4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot i 4 StartRoot 5 EndRoot
Answer:
(4√5)i
Step-by-step explanation:
Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.
Complex numbers can also be graphed on the complex plane.
√(-80) = √(-1) × √(80)
But since √(-1) = i
√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i
√(-80) = (4√5)i
Answer:
C) 4 Square Root 5 i
Step-by-step explanation:
100% on edge. When your wrist like this, you don't check the forecast
Every day it's gon' rain, yeah
a. Evaluate the polynomial
y = x3− 5x2 + 6x + 0.55 at x = 1.37.
Use 3-digit arithmetic with chopping. Evaluate the percent relative round-off error.
b. Express y as y = ((x − 5)x + 6)x + 0.55 (this is the same equation). Use again 3-digit arithmetic with chopping. Evaluate the percent relative round-off error and compare with part (a). Make the conclusion about which form of the polynomial is superior.
The form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).
To evaluate the polynomial [tex]y = x^3 - 5x^2 + 6x + 0.55[/tex]at x = 1.37 using 3-digit arithmetic with chopping, we substitute x = 1.37 into the expression:
[tex]y = (1.37)^3 - 5(1.37)^2 + 6(1.37) + 0.55[/tex]
Calculating each term;
[tex](1.37)^3[/tex]= 2.559
5[tex](1.37)^2[/tex]= 9.415
6(1.37) = 8.22
Substituting these values into the expression for y,
y = 2.559 - 9.415 + 8.22 + 0.55
y = 1.914
Now, let's move on to part (b).
We will express y as y = ((x - 5)x + 6)x + 0.55,
Now using 3-digit arithmetic with chopping.
Then, we substitute x = 1.37 into the expression:
y = ((1.37 - 5) 1.37 + 6) 1.37 + 0.55
Calculating each term separately:
(1.37 - 5) = -3.63
-3.63 x 1.37 = -4.98
-4.98 + 6 = 1.02
1.02 x 1.37 = 1.3974
Finally, adding 0.55:
y = 1.3974 + 0.55
y = 1.9474
Now, let's compare the percent relative round-off errors in both cases.
In part (a), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was also 1.914. Therefore, the percent relative round-off error is:
(1.914 - 1.914) / 1.914 x 100 = 0%
In part (b), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was 1.9474.
Therefore, the percent relative round-off error is:
(1.9474 - 1.914) / 1.914 x 100 ≈ 1.741%
Therefore, in this comparison, we can conclude that the form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).
Learn more about percent here;
https://brainly.com/question/31323953
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Find the midpoint of the line segment with the given endpoints. (-10, 5), (-9, -9)
Answer:
[tex]=\left(-\frac{19}{2},\:-2\right)[/tex]
Step-by-step explanation:
[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)[/tex]
A square and a regular hexagon can intersect in....
A) Triangle
B) Rectangle
C) Pentagon
D) A Line Segment
Answer:
D) A Line Segment
Step-by-step explanation:
pentagon. is the answer for this one
2. You need to buy grass seed for a new lawn. The lawn will cover a rectangular plot that is 60 feet by 90 feet. Each ounce of grass seed will cover 120 square feet. a. How many ounces of grass seed will you need to buy?
Answer:
45 oz
Step-by-step explanation:
first you need to find the are of the yard. To do that you multiply the length by the width: 60x90=5400 feet
next you divide by 120: 5400/120=45
therefore, you need to buy 45 ounces of grass seed.
Passports. In 2006, approximately 71 million valid
passports were in circulation in the United States.
This number increased to approximately 102 million
in 2011. What is the percent increase?
Answer:
0.437%
Step-by-step explanation:
given:
initial number = 71 M
final number = 102M
increase = final number - initial number
= 102 - 71
= 31 M
Percent increase
= increase / initial number x 100%
= (31 / 71) x 100%
= 0.437%
No. of valid passports in 2006 = 71M
No. of valid passports in 2011 = 102M
We have to find percentage increase in the number of passports[tex].[/tex]
[tex]\leadsto\sf\:\% Increase = \dfrac{N_2-N_1}{N_1}\times 100[/tex]
[tex]\leadsto\sf\:\% Increase = \dfrac{102M-71M}{71}\times 100[/tex]
[tex]\leadsto\sf\:\% Increase=\dfrac{31}{71}\times 100[/tex]
[tex]\leadsto\sf\:\% Increase=\dfrac{3100}{71}[/tex]
[tex]\leadsto\:\boxed{\bf{\blue{\% Increase=43.66\%}}}[/tex]
Hope it helps !
Learn More :
https://brainly.com/question/17392904
Eddie Lange earns $11.50 per hour. He worked 40 hours, plus time and a half for 7 hours?
Answer:
Total amount earned = $500.25
Step-by-step explanation:
Given:
Wage per hour = $11.50
Time worked = 40 hours
Extra time worked = 7 hour
Wage paid per extra hour = $11.50 / 2 = $5.75
Find:
Total amount earned
Computation:
Total amount earned = [Wage per hour][Time worked] + [Extra time worked][Wage paid per extra hour]
Total amount earned = [11.50][40] + [7][5.75]
Total amount earned = [460] + [40.25]
Total amount earned = $500.25
Solve for x
x - 7 = 8
Answer: x = 15
Step-by-step explanation: In this problem, since 7 is being subtracted
from x, add 7 to both sides of the equation to get x by itself.
On the left side, -7 + 7 will cancel out and
on the right side, 8 + 7 simplifies to 15.
So x = 15.
The value of x in the given equation x - 7 = 8 is 15.
Given that an equation x - 7 = 8, we need to solve for x.
To solve for x in the equation x - 7 = 8, you want to isolate x on one side of the equation.
Follow these steps:
Step 1: Add 7 to both sides of the equation to isolate x on the left side:
x - 7 + 7 = 8 + 7
Simplifying the left side, the -7 and +7 cancel out, leaving:
x = 15
Step 2: Check your solution by substituting the value of x back into the original equation:
x - 7 = 8
Substitute x with 15:
15 - 7 = 8
Simplify the left side:
8 = 8
Since the left side equals the right side, we have verified that x = 15 is indeed the correct solution for the equation.
Hence, the answer is x = 15.
Learn more about equation click;
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A rectangle length is 5 more than its width. If the premiditer of the rectangle is 66 inches, what is the length of the rectangle
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{19 \: inches}}}}}[/tex]
Step-by-step explanation:
Let the width be 'w'.
Length of a rectangle ( l ) = 5 + w
Perimeter of a rectangle = 66 inches
First, finding the width of a rectangle
[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]
[tex] \dashrightarrow{ \sf{66 = 2(5 + w + w)}}[/tex]
[tex] \dashrightarrow{ \sf{66 = 2(5 + 2w)}}[/tex]
[tex] \dashrightarrow{ \sf{66 = 10 + 4w}}[/tex]
[tex] \dashrightarrow{ \sf{10 + 4w = 66}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 66 - 10}}[/tex]
[tex] \dashrightarrow{ \sf{4w = 56}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{56}{4} }}[/tex]
[tex] \dashrightarrow{ \sf{w = 14 \: inches}}[/tex]
Width of a rectangle ( w ) = 14 inches
Now, Substituting / Replacing the value of w in order to find the length of rectangle
[tex] \sf{length = 5 + w}[/tex]
[tex] \dashrightarrow{ \sf{length = 5 + 14}}[/tex]
[tex] \dashrightarrow{ \sf{19 \: inches}}[/tex]
Length of a rectangle = 19 inches
Hope I helped!!
Best regards! :D
A number minus 6 is few then 8
Answer: true or yes
A number minus 6 is few then 8
Step-by-step explanation:
if you do 6-5=1 or 6-3=3 so true or yes ????
hoped this helped?????????
Can you please help me with this please and i will give you a branlist please help me thank you
Answer:
zx
Step-by-step explanation:
Without using a calculator, choose the statement that best describes the value of the square root of 46
i need help :(
Answer:
The value of √46 is between 6.5 and 7.
Step-by-step explanation:
We can use perfect squares to solve this problem.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.
So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.
√36 = 6
√46 = ?
√49 = 7
Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.
suppose that a computer chip company has just shipped 10,000 computer chips to another computer company. Unfortunately, 20 of the chips are defective. Compute the probability that two randomly selected chips or defective using conditional probability
Answer:
20÷10=2. 10,000÷10=1,000
Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000
145,973 write in sentence form
Answer:
one hundred forty-five thousand nine hundred seventy-three
hope this helps!
Solve each system of equations.
1.
2x – 3y = 3
- 4x + 6y = -6
Answer:
First one: x= -1/2
Second one: x= 1/4