Step-by-step explanation:
Here we are given that , the Value of
[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]And we need to find the prove that ,
[tex] xy = 4 [/tex]We know a identity as ,
[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]On cubing both sides of the given equation,
[tex] (3x-2y)^3 = 9^3 [/tex]Simplify and then substitute ,
[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex] [tex] 1377 - 18xy (9) = 729 [/tex][tex] 162xy = 1377-729 [/tex][tex] xy =\dfrac{648}{162}[/tex][tex]xy = 4 [/tex]Hence Proved !
20 oz.
4. The sum of 2 numbers is 40. The ratio of the bigger to the smaller number is 3:2. What is the smaller
number?
Answer:
16
Step-by-step explanation:
40 = 3:2 x
Then, you know that 3+2 = 5
so, x = 40/5
x=8
Now, you multiply x by 2 to get 16
16
please help don,t undertan
Answer:
substract.
Step-by-step explanation:
eg. 5 before 17 = 17-5
so 5 before 17= 12
same for others
Please help me solve this
Answer:
9
Step-by-step explanation:
2(m+2) = 22
Using the distributive property, you can multiply the 2 to both the "m" term and the "2".
2m + 2*2 = 22
2m + 4 = 22
Then you isolate the variable and solve.
2m = 22 - 4
2m = 18
m = 9
2(m + 2) = 22
2(m) + 2(2) = 22
2m + 4 = 22
2m = 22 - 4
2m = 18
2m / 2 = 18 / 2
m = 9
To distribute the 2 to each term inside the parentheses means to multiply the 2 by both terms in the parentheses so
2(m + 2) means (2 × m) + (2 × 4)
Use number line to compare the numbers
0 and - 60
Which shows the correct symbol to compare the numbers?
=
>
Answer:
0 > -60
Step-by-step explanation:
Every negative number is less than 0
Given m|n, find the value of x. (6x-9) → (5x+10)
__________
[tex] \: [/tex]
6x - 9 = 5x + 10
6x - 5x = 10 + 9
x = 19✔
A quadratic function y = f(x) is plotted on a graph and the vertex of
the resulting parabola is (3, -5). What is the vertex of the function
defined as g(x) = f(-x) + 3?
Answer:
the vertex is (0,3)
Step-by-step explanation:
using vertex form: y=a(x-h)^2+k you can find the vertex
h: the horizontal <----------->
and
k: the vertical |
so, there is no h, but there is a k, which is 3, so the answer is (0,3) I believe
Triangle PQR has vertices P(-2,2), Q(8,2) and R(4,6).
(a) Find the equation of the perpendicular bisector of segment PQ.
I got so confused on this question if I could get help it would mean a lot
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
You can forget about point R. It does not have any part in this problem, except to add confusion.
The given line PQ has the same y-coordinate values for points P and Q. This means the segment is a horizontal segment. Its perpendicular bisector will be a vertical line through its midpoint.
The midpoint (M) of PQ is ...
M = (P +Q)/2
M = ((-2, 2) +(8, 2))/2 = (-2+8, 2+2)/2 = (6, 4)/2
M = (3, 2)
The vertical line through a point with x-coordinate 3 will have the equation ...
x = 3
Problem:
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On Tuesday, a radio store reduces all of its prices by 20% from what they were on Monday.
On Wednesday, the store again reduces all of its prices by some percentage from what they were on Tuesday. If the resulting price of a radio is half of the original Monday price,
then by what percentage did the store reduce its prices from Tuesday to Wednesday?
Answer/Step-by-step explanation:
Call Monday's price, P
Tuesday's price must just be .80P [ 20% reduction]
Call Wednesday's price reduction ( 1 - R)
So...we have that
Tuesday's price * Wednesday's reduction = (1/2)P
(.80)P *( 1 - R) = (1/2)P divide through by P and note that 1/2 = .50
.80 (1 - R) = .50 divide both sides by .80
1 - R = .50/.80
1 - R = 5/8
1 - 5/8 = R
3/8 = R = .375 = 37.5% = the reduction from Tues. to Wed.
Proof of this...let Monday's price = 100
Tuesdays price = .80 * 100 = 80
Wed price = 80 (1 - R) = 80 (1 - .375) = 50 = half of Mon. price
Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test?
Answer: 30
Step-by-step explanation:
40% = 12 | 40% + 40% = 80% | 80% = 24 | 12 / 2 = 6 | 6 = 20% | 40% + 40% + 20% = 30 questions
Please note that i'm not a professor and i might have this wrong.
Can you Helppp please
To have infinite solutions both equations need to be equal
Since they subtract 5 from the right side, subtract 5 from the left side.
X is multiplied by 1/2 on the left , so multiply x by 1/2 on the right side.
1/2x -5 = 1/2x-5
Which statement correctly compares the shapes of the distributions?
Team A's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
Team B's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 998 100
O A. Team A's scores are symmetric, and team B's are negativ
skewed.
O B. Team A's scores are symmetric, and team B's are positively
skewed.
O C. Team A's scores are negatively skewed, and team B's are
symmetric.
D. Team A's scores are positively skewed, and team B's are
The statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.
How to interpret the distribution shapes?From the complete question (see attachment for box plots), we have the following highlights:
Team A scores has more points at the left. This represents a negative skewTeam B scores has more points at the center. This represents a symmetric skewnessHence, the statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.
Read more about skewness at:
https://brainly.com/question/24309209
#SPJ1
Benjamin has a bag of 50 marbles. 25 are red, 10 are blue, and 15 are yellow.
Give the ratio of red marbles to total marbles. __ : __
Answer:
25:50
or
25/50
or
25 to 50
Step-by-step explanation:
Simply take the number of red marbles and place it before the number of total marbles
3
A line passes through the point (10, 1) and has a slope of
2
Write an equation in slope-intercept form for this line.
Answer:
y = 2x - 19
Step-by-step explanation:
Slope-intercept form: y = mx + b
y = (x , y) = 1
m = slope = 2
x = (x , y) = 10
b = y-intercept
Plug in the corresponding numbers to the corresponding variables:
1 = 2(10) + b
First, simplify, and then isolate the variable, b. Note the equal sign, what you do to one side, you do to the other.
First, multiply 2 with 10:
1 = (2 * 10) + b
1 = 20 + b
Next, subtract 20 from both sides of the equation:
1 = b + 20
1 (-20) = b + 20 (-20)
1 - 20 = b
b = -19
Plug in 2 for m, and -19 for b.
y = 2x - 19 is your slope-intercept form.
~
[tex]8.0 \times {10}^{ - 5} \times 10000[/tex]
what would be the result
PLEASE HELP IF YOU KNOW THE ANSWER!!!
I NEED THE DOMAIN AND RANGE
oh yeah i know the answer. thats cool you need it
What is the value of h(3)?
–2
–1
1
2
Answer:
C) 1
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
Step-by-step explanation:
h(3) means that x = 3. That's the right side of the x axis. At that point, h(3) has a y value of 1.
Calculate the surface area of the following objects.
Answer: 15150 [tex]cm^{2}[/tex]
Step-by-step explanation:
2(83 × 45) + 2(30 × 45) + 2(30 × 83)
2(3735) + 2(1350) + 2(2490)
7470 + 2700 + 4980
= 15150
please give me a brainliest answer
URGENT PLEASE HELP, respond to c, d, e, and f please !!
Answer:
Step-by-step explanation:
c. (18.5-17)/.9= 1.66666666667= 1.6667
d. .7107
e. .2185
f. 0.675=(x-17)/.9 x= 17.6075
PLEASE SOMEONE JUST Please ANSWER THIS THIS IS DUE IN 10 MINUTES HURRY!!!
What is the slope of the graph?
2
Step-by-step explanation:
rise/run = 4/2 = 2
Answer: The slope is 2.
Step-by-step explanation:
Hope this helps!!!!
can somebody tell me what this is please ?
(3/5)n + 15 = 10 + (2/5)n [transpose like terms to each side of the equal sign]
(3/5)n - (2/5)n = 10 -15 [simplify]
(1/5)n = -5 [multiply both sides by 5]
n = - 25
Helpp! who ever gets it right gets brainliest!
1. K+9, When k = 5
Answer:
2. 4x - 3, when x = 2
Answer:
3. t/5 + t, when t = 15
Answer:
4. 5x2 + 3x, when x = 2
Answer:
5. 6y - 5, when y+7
Answer:
6. 4x2 + 3x, when x = 6
Answer:
7. 56/x + 3y, when x = 4 and y = 3
Answer:
8. 4d2 - 3d, when 4 = -2
Answer:
9. + 3p - 5t + 3, when p= 2 and t = 1
Answer:
10. 3(w-4) 2, when w + -5
Answer:
Answer:
1. 14
2. 5
3. 18
4. 16
5. 37
6. 26
7. 23
8. -10
9. 4
10. -54
Some questions are wrong so i answered what i understood. And giving me brainest will be helpful.
Find the measure of each numbered angle if m<1=72 and m<3=26.
<2=?
<4=?
Answer:
Step-by-step explanation:
<2=2*1
<4= 2*2
Find the measures of the interior angles.
what is angle a, b, and c
Using angle sum property
[tex]\\ \sf\longmapsto x+90+30=180[/tex]
[tex]\\ \sf\longmapsto x+120=180[/tex]
[tex]\\ \sf\longmapsto x=180-120[/tex]
[tex]\\ \sf\longmapsto x=60[/tex]
which ratios are equivalent to 7: 15.
can you simplify it Please
Answer:
[tex] \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} [/tex]
I hope I helped you^_^
Me and my mom are confused. Please help!!
Answer:
0.05/min or plus 0.25 every 5 minutes
Step-by-step explanation:
To find the unit rate divide 0.25 by 5:
0.25 ÷ 5= 0.05
OR
After every 5 minutes, Eric has traveled 0.25 miles.
Hope this helps!
determine if the givem binomial x-c is a factor of the given polynomial p(x)
[tex]p(x) = {x}^{4} - {x}^{3} + {x}^{2} + x - 1: x - 2[/tex]
PLEASE PLEASE HELP ILL MARK BRAINLIEST!!!!
Answer:
3x+5y=35
Step-by-step explanation: 3 times how many pounds of apple he gets (5)and 5 times how many pounds of oranges he gets(4) equals the amount he spends on all.(3x5=15+5x4=20=35)
Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?
Answer:
Step-by-step explanation:
25- guaranteed
$14 on each table waited on
He waited on 17.
17x14= $238 tips
238+25= $263
1. Marques expects to earn $263 on 17 tables
2. He expects to make 25+14t per day.
Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?
Answer:
The slope remains a constant [tex]m=\frac{5}{3}[/tex] as it is parallel.
Explanation:
1. Line Q is defined as a slope of [tex]\frac{5}{3}[/tex]; i.e. [tex]y=\frac{5}{3}[/tex]
2. Line R is defined to be parallel of Line Q.
3. Line Q is linear and has no domain restrictions.
The definition of being parallel requires the same slope.
