Answer:
Alexander
Step-by-step explanation:
Alexander has painted 2/3 of his room. Quinn has painted 2/5 of his. To find who has painted more, convert both fractions to have the same denominators. An easy way to do this is to multiply the numerator and denominator of one fraction by the denominator of the other, then do the same for the other fraction. So, [tex]\frac{2}{3}[/tex] · 5 = [tex]\frac{10}{15}[/tex] and [tex]\frac{2}{5}[/tex] · 3 = [tex]\frac{6}{15}[/tex].
[tex]\frac{10}{15}[/tex] > [tex]\frac{6}{15}[/tex]. So, Alexander has painted more of his room than Quinn has.
f(x)=3x 3 inverse function
Step-by-step explanation:
if I understand this correctly than you are looking for the inverse function of f(x) = y = 3x³.
the inverse function simply tries to calculate the original x it of the original y.
and then, to make it a formal function, we rename x to y and y to x.
y = 3x³
x³ = y/3
[tex]x = \sqrt[3]{ \frac{y}{3} } [/tex]
=> as "regular" function
[tex]y = {f}^{ - 1} (x)= \sqrt[3]{ \frac{x}{3} } [/tex]
Show the steps to solve the system of equation. x-2y+3z=-4 , 3x+y-z=0 , 2x+3y-5z=1
Answer:
x= -1, y = 6, z = 3
Step-by-step explanation:
let me solve it with Gaussian Elimination
i need step by step explanition if you can. paper depot is delivering 952 cases of paper today.300 of the cases are plain white paper twenty-eight trucks are being loaded with an equal number of cases of paper. how many cases will each truck carry
Answer:
34
Step-by-step explanation:
We actually don't care what amount of paper is white, we just need the amount per truck. If there were 2 trucks, they would each take half of the total amount of paper. If there were 3 trucks, they would each take a third of the total amount of paper. And so on for 4,5,6,etc.
For 28 trucks, they would each take a twenty-eighth of the total amount of paper. So, the amount each truck takes is just [tex]952/28=34[/tex].
So, the answer is [tex]\boxed{34}[/tex] and we're done!
need an answer, please need an answer, please
Answer:
[tex] \alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \\ \beta= \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ \alpha +\beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} + \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ - 2b + 0}{2a} = \frac{ - 2b}{2a} \\ \therefore \: \alpha +\beta = - \frac{b}{a} \\ \alpha \times \beta = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} \times \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} \\ = \frac{ {b}^{2} - ( {b}^{2} - 4ac) }{4 {a}^{2} } \\ = \frac{4ac}{4 {a}^{2} } \\ \therefore \alpha \times \beta = \frac{c}{a} \\ (x - \alpha)(x - \beta) = 0 \\ {x }^{2} + (\alpha + \beta)x + \alpha\beta = 0\\\\Let \:D =\sqrt{ {b}^{2} - 4ac}\\ If \:D >0 \Rightarrow \alpha, \beta \in \mathbb R\:(2 \: real \:roots)\\ If D =0 \Rightarrow \alpha= \beta \in \mathbb R\: (one \:real\: root) \\ If D <0 \Rightarrow \alpha, \beta \in \mathbb C\:(complex\: roots)\\At least 4examples\\{(x-1)}^{2}=0\\{x}^{2}-x-1=0 \\{x}^{2}-2x+13=0\\7{x}^{2}-49x-7=0\\ Applications\\ut+g{t}^{2}=s\\a=g\\u=-\frac{b}{a}\\s=\frac{c}{a}[/tex]
Answer:
Step-by-step explanation:
1) Determining the nature of roots:
Quadratic equation: ax² + bx +c = 0
Find D (Discriminant) using the D = b² - 4ac
If D = 0 , then the two roots are equal.
If D > 0, then the equation has two distinct real roots.
If D < 0, then the roots are complex/ imaginary.
One can find the sum and product of the roots using the below mentioned formula.
1) sum of roots = [tex]\frac{-b}{a}[/tex]
2) Product of roots = [tex]\frac{c}{a}[/tex]
If sum and product of the roots are given, one can frame the quadratic equation by x² - (sum of roots)*x + product of roots = 0
2) i) x² - 6x + 9 = 0
a = 1 ; b = -6 and c = 9
D = (-6)² - 4 * 1 * 9 = 36 - 36 = 0
D = 0. So, two equal roots
ii) x² - 4x + 3 = 0
a = 1 ; b = -4 ; c = 3
D = (-4)² - 4 * 1 * 3 = 16 - 12 = 4
D > 0. So, two distinct real roots.
iii) x² - 4x - 3 = 0
a = 1 ; b = -4 ; c = -3
D = (-4)² - 4*1*(-3) = 16 + 12 = 28 > 0
D > 0. So, two distinct real roots.
iv) x² - 4x + 7 = 0
a = 1 ; b = -4 ; c = 7
D =(-4)² - 4 *1 *7 = 16 - 28 = - 12
D< 0. So, two imaginary/ complex roots.
PLEASE HELP ME ITS ALGEBRA THANK YOUUUUUUU
Simplify open parentheses x to the two thirds power close parentheses to the four fifths power
Answer:
x to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Step-by-step explanation:
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
Answer:
a. y=4
b. graph the given and y=4
Step-by-step explanation:
The given is y= 8 sin(x) cos(x)
to get y' which is the slope of the tangent line we take the derivative
for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')
thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))
-8sin^2(x)+8cos^2(x)
You can also leave the 8 differentiated out depending on the form you need.
Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point
=8sin^2(pi/4)+8cos^2(pi/4)
this would equal -8*1/2 +8*1/2 which equals 0
the slope of the tangent at this point would be zero
To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)
this means the point slope equation would be
y-4=0(x-pi/4)
y-4=0
y=4
To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)
Nine less than a number is five
Answer:
x-9=5
Step-by-step explanation:
C. Write an expression with exponents to represent the number of
great-grandchildren Mr. and Mrs. Fisk have.
Answer: Do you have a pic of the question if you do give and give brainliest for it alright
Step-by-step explanation:
Two side lengths of a triangle are 30.9 inches and 42.0 inches. the sides meet at a 19degree angle. What is the area of the triangle?
Step-by-step explanation:
A=hbb
=42· 0 x30.9
=648.9
Which expression has a solution of 54, if t = 6? 7 t 9 t 6 t 8 t
Answer:
The answer is 9
Step-by-step explanation:
Cause when we multiplied 6 to 9 the answer will be 54
pls help asap i rly need this
Answer:
THey are countin by 2 and 5 on the graph
Step-by-step explanation:
Does anyone need help for any cooking/baking
Answer:
i would like to b a k e a dan ish
Step-by-step explanation:
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Answer:
(x + 1)(x - 7) is the odd one.
Step-by-step explanation:
1) sum= 8
Product = 7
Factors = 1 , 7 {1*7 = 7 & 1+7 = 8}
x² + 8x + 7 = x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
=(x +1 )(x + 7)
2) x² - 8x + 7 = x² -x -7x + (-1)*(-7)
= x(x - 1) - 7(x - 1)
=(x - 1)( x - 7)
3)Sum = 6
Product = -7
Factors = (-1) , 7 { -1 + 7 = 6 & (-1)*7 = -7}
x² + 6x - 7 = x² - x + 7x - 7
= x(x - 1) + 7(x - 1)
= (x - 1)(x + 7)
Answer:
(x+1)(x-7) is the odd one out
WILL GIVE BRAINLIEST, EXTRA POINTS, THANK YOU AND STARS!!!!!
Answer:
Rate : 45m/s
Distance: 900 m
Step-by-step explanation:
1km/h = 1000m/3600s
= 5/18 * 162 = 45m/s
45 * 20 = 900
On a road map the distance from Cily A to City BIS 4 inches. The map
scale is 1 inch 20 miles what is the actual distance in miles, between
City A and City B2
5 miles
24 miles
8 miles
80
Answer:
80 miles
Step-by-step explanation:
The map scale compares the distance between two points on the map with the corresponding distance on the ground.
That is,
[tex]\boxed{\mathfrak{map\:scale=\frac{distance\:on\:map}{distance\:on\:ground} }}[/tex]
The formula makes it pretty easy to solve!
map scale is 1 inch : 20 milesdistance on map is 4 inchesLet's say, the corresponding distance on the ground is x miles.Substituting these values in the above mentioned formula:
[tex]\implies \mathsf{\frac{1 \:inch}{20\:miles} =\frac{4\:inches}{x\:miles} }[/tex]
cross multiplying:
[tex]\implies\mathsf{x=4 \times 20}[/tex]
[tex]\implies \mathsf{x=80}[/tex]
That makes the actual distance 80 miles!
ALTER
You can also use simple unitary method here:
1 inch on the map = 20 miles on the ground
∴ 4 inches on the map = 4 × 20 miles on the ground
= 80 miles on the ground
please help me solve this !
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(spammers reported)
Answer:
it is five
Step-by-step explanation:
5v-2=8 then v=x2 because 5x2=10-2=8
so 7v-9=5
The correct answer is 5
Shawna lives in an apartment 9 4/5 miles from the hospital where she works. Her brother rents a room in a house 7 2/5 miles from the law firm where he is employed. How much farther from work does Shawna live?
Answer:
2 2/5 miles
Step-by-step explanation:
Solve by the substitution method
8x + 5y=11
3x + y=16
Answer:
x=69/7 y=-95/7
Step-by-step explanation:
a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed?
Answer:
2700 more eggs were ordered
Simplify, the solve.
Answer:
1/64
Step-by-step explanation:
4x4^3/4^7
4^-3
1/4^3
1/64
A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at least twice the area used for flowers. Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet) used for vegetables. Shade the region corresponding to all values of x and y that satisfy these requirements.
I am grateful to anyone who can help. Thank you.
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answer: the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
Answer:
More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24
3x7=21 and that's 3 less than 24
The answer is 3
Step-by-step explanation:
Jaliyah wants to play a prank on her older sister at her birthday party. She has two bags of blue glitter that she's planning on filling a birthday hat with. To figure out how much glitter she needs to use, Jaliyah must first find the volume of the party hat. Find the volume of the party hat in cubic inches.
Height = 8.4 inches
Length = 5.3 inches
Answer:
44.52
Step-by-step explanation:
Volume = b * h
base times height
The height is 8.4 inches so 8.4 *
Length is the same as base so 5.4
8.4 * 5.4
Divide.
24.7 ÷ 5.2 Enter your answer in the box.
Answer:
[tex]24.7 \div 5.2 \\ \frac{19}{4} \: \: or \: \: 4.75[/tex]
Answer:
[tex] \\ \sf24.7 \div 5.2[/tex]
[tex] \\ \sf = \frac{247}{10} \div \frac{52}{10} [/tex]
[tex] \\ \sf = \frac{247}{10} \times \frac{10}{52} [/tex]
[tex] \\ \sf = \frac{247}{52} [/tex]
[tex] \\ \sf = \frac{19}{4}[/tex]
[tex] \\ \sf = 4.75[/tex]
URGENT!! A train travels at the rate of 120 km per hour
11. What is its speed in meters per second?
Answer:
33.333
Step-by-step explanation:
I looked up the answer
Orlando bought a new couch for 1,968, using the furniture store's finance plan. He will pay 164 a month for 12 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
a) y = 164x - 1,968
b) y =1,968 - 164x
c) y = 164x
d) y= 1,968 + 164x
Answer:
B
Step-by-step explanation:
Total(1,968) - x(164) = new value
he owner of a coffee shop collected receipts from all orders placed during a one-hour period. For each receipt, the owner recorded the payment method used and if the receipt was $25 or less or more than $25. The following table shows the requencies of the results.
Payment
Cash Credit/Debit Phone App Total Receipt of $25 or less 15 25 17
Receipt of more than $25 23 37 28
Total 145
What is the probability that a receipt that is to be selected at random from those collected during the one-hour period was
paid using a phone app, given that the receipt totaled more than $25?
Enter your answer as a value between 0 and 1 rounded to two decimal places. Points A,
Answer:
56
Step-by-step explanation:
The probability of selecting a receipt of more than $25 is 0.33.
What is a probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
For the given situation,
The amount on receipts in $, S= { 15,25,17,23,37,28 }
⇒ [tex]n(s) = 6[/tex]
The amounts are grouped as more than $25 and less than $25.
The event is the amount on receipt more than $25, [tex]e = (28,37)[/tex]
⇒ [tex]n(e)=2[/tex]
The formula to find the probability of an event,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)= \frac{2}{6}[/tex]
⇒ [tex]P(e)=\frac{1}{3}[/tex]
⇒ [tex]P(e)=0.33[/tex]
Hence we can conclude that the probability of selecting the receipt of more than $25 is 0.33.
Learn more about probability here
https://brainly.com/question/13604758
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On a map, 1 inch equals 25 miles if two cities are 8 inches apart on the map how far are they actually apart ?
Answer:
200 mi
Step-by-step explanation:
8 times 25 mi = 200 mi
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