Answer:
x^2-15x+36
Step-by-step explanation:
x(x-12)-3(x-12)
x^2-12x-3x+36
x^2-15x+36
Answer: X^2 -15x + 36
Step-by-step explanation:
(X-3) (x-12)
Multiply each term in the first bracket by each term in the second bracket
X^2 -12x -3x + 36
Collect like terms
X^2 -15x + 36
a line passes through the point (10,-5) and a slope of -3/2
Write an equation in slope-intercept form for this line.
Answer:
y = -3/2x + 10
Step-by-step explanation:
The slope = -3/2
Using the slope = -3/2 and the point (10, -5) substitute into y = mx + b and solve for "b"
y = mx + b
-5 = -3/2(10) + b -3/2 · 10 = -30/2 = -15
-5 = -15 + b
-5 + 15 = b
10 = b
The equation of the line is y = -3/2x + 10
1) Round 26.728 to the nearest integer
What
Please help I’ll give brainylist in return
Answer:
Letter A because both of them are SSS
Step-by-step explanation:
round 87,255 to the nearest ten thousand.
Answer:
90,000
Step-by-step explanation:
Find the minimum and maximum possible values for area of the garden
Answer:
Smallest: 12.8 square meters
Largest: 13.5 square meters
Step-by-step explanation:
I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.
The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.
[tex]3.15*4.05=12.7575[/tex]
The smallest possible area is 12.8 rounded to the nearest 10th.
The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...
[tex]3.24999*4.14999=13.4875[/tex]
That rounds to 13.5.
Please help, I'm supposed to graph the equations and label the intersection point, it's due this week-
100x + 150y = 3,050
x + y = 23
Step-by-step explanation:
x=54/1
y=56/4
because 50y=2820
In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?
The probability that a student who does not have a brother has a sister is 53.33%.
ProbabilityGiven that in a class of 20 students, 5 have a brother and 11 have a sister, and there are 3 students who have a brother and a sister, to determine what is the probability that a student who does not have a brother has a sister the following calculation must be performed:
20 - 5 = 10011 - 3 = X15 = 1008 = X8 x 100 / 15 = X800 / 15 = X53.33 = XTherefore, the probability that a student who does not have a brother has a sister is 53.33%.
Learn more about probability in https://brainly.com/question/13553988
please help i really need it.
change the subject of the formula to x
x/6 − 5 = w
Step-by-step explanation:
x/6=w+5
x=6(w+5)
x=6w+30.
hope this helps you.
The value of x is x = 6w + 30
Data;
[tex]\frac{x}{6} - 5 = w[/tex]Subject of FormulaThis is a mathematical terms used to represent a value from an entire equation.
In the given equation, we are given a value required to make x the subject of formula
Step 1
Add 5 to both sides of the equation
[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]
Step 2
Cross multiply both sides
[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]
From the calculations above, the value of x is x = 6w + 30
Learn more on subject of formula here;
https://brainly.com/question/790938
Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.
What is the solution for the system of equations?
y=−x+4y=x−2
Question 1 options:
(1, 3)
(−2, 1)
(3, 1)
(1, −2)
Answer:
(3, 1)
Step-by-step explanation:
y = −x + 4
y = x − 2
-x + 4 = x - 2
4 = 2x - 2
6 = 2x
3 = x
y = (3) − 2
y = 1
Answer:
x = 3 and y = 1
Step-by-step explanation:
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓all things algebra unit 5 homework 2
What expressions are equivalent to -6+4q+(-6q)
Simplified answer:
-6 - 2q
Step-by-step explanation:
-6 + 4q + (-6q)
=> -6 + 4q - 6q
=> -6 + (-2q)
=> -6 - 2q
I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.
Calculate the simple interest on investing $650 for 3 years at rate of 11% per annum.
Answer:
214.5 usd
Step-by-step explanation:
blc we will do 650 times 11 .over 100 to get the annual the multiply it by 3
HOPE HELPED!!
The first truck carries 35 tons less rice than the second truck. The number of paddy in the first truck is 2/3 of the amount in the second truck. How many tons of paddy does each cart hold?
Answer:
First truck = x
Second truck = y
x + 35 = y
x = 2/3y
So
2/3y +35=y
1/3y = 35
y = 35*3
y = 105
And ,
x = 2/3y = 70
The first truck carry 70 tons while the second carry 105 tons
Let the amount the first truck can carry be xLet the amount the second can carry be y
If the first truck carries 35 tons less rice than the second truck, then;
x = y - 35
If the number of paddy in the first truck is 2/3 of the amount in the second truck
x = 2/3 y
Equate both to have:
2/3 y = y - 35
2/3y - y = -35
-y/3 = -35
y = 105
Since x = 2/3 y
x = 2/3 * 105
x = 70
Hence the first truck carry 70 tons while the second carry 105 tons
Laern more on equations here: https://brainly.com/question/16863577
Will give brainly crown (if shown step by steps I'll give half of my entire points)
Felix and Oscar applied for the same credit card from the same bank. The bank checked both of their FICO scores. Felix had an excellent credit rating, and Oscar had a poor credit rating.
a. Felix was given a card with an APR of 14%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.
b. Oscar was given a card with an APR of 21%. What was his monthly percentage rate? Round to the nearest hundredth of a percent.
c. If each of them had an average daily balance of $800 for a specific month, and had to pay a finance charge, how much more would Oscar pay than Felix?
A) The monthly percentage rate of Felix is;
B) The monthly percentage rate of Oscar is;
C) The amount that Oscar will pay more than Felix is; $0.96
Annual Percentage Rate
A) Felix was given a card with APR of 14%.
Thus;
Monthly percentage rate = 14%/12 = 1.63%
B) Oscar was given a card with an APR of 21%. Thus;
Monthly percentage rate = 21%/12 = 1.75%
C) We are told that each of them had an average daily balance of $800 for a specific month.
Thus;
Amount paid by Felix = 800 * 1.63%
Amount paid by Felix = $13.04
Amount paid by Oscar = 800 * 1.75%
Amount paid by Oscar = $14
Difference in Payments = $14 - $13.04 = $0.96
Thus, Oscar pays $0.96 more than Felix.
Read more about Annual Percentage rate at; https://brainly.com/question/11686424
a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)
b. oscar 21/12 = 1.75% (no need to round here)
c.
felix: (1.17/100) x 800 = 9.36
oscar: (1.75/100) x 800 = 14.00
14.00 - 9.36 = 4.64
oscar will pay $4.64 more than felix.
The points A(-3p-3, 2p), B(-5p+1, 0) and C(0, 8p), where p is a constant are collinear. Find: the value of p
Answer:
p = 5Step-by-step explanation:
Since all points are on same line, AB and BC have same slope.
Use slope formula and compare:
m(AB) = (0 - 2p)/(-5p + 1 + 3p + 3) = -2p / (-2p + 4) = p/(p - 2)m(BC) = (8p - 0)/(0 + 5p - 1) = 8p / (5p - 1)m(AB) = m(BC)Compare and solve for p:
p/(p - 2) = 8p/(5p - 1)8(p - 2) = 5p - 18p - 16 = 5p - 18p - 5p = 16 - 13p = 15p = 5The population of the United States was 308,745,538 in 2011. There
were 18,801,310 people in Florida and 9,883,640 people in Michigan.
Compute the probability that a randomly selected US resident in 2011
was living in Florida. Do the same for Michigan. Which is greater?
Step-by-step explanation:
Given:
Total population: 308745538People in Florida: 18801310People in Michigan: 9883640Probabilities:
P(F) = People in Florida / Total = 18801310/308745538*100% = 6.09% P(M) = People in Michigan /Total = 9883640/308745538*100% = 3.20%As we see from the probabilities, there is almost twice difference between Florida and Michigan residents.
Shamika earns $25.75 one week. The next week she earns $37.80, and she spends $32.How much money does Shamika have from these two weeks?
Answer: $31.55
Step-by-step explanation:
$25.75 + 37.80 - 32.00 = $31.55
Which is not a zero of the function?
HELP please AGAIN
Answer:
2
Step-by-step explanation:
The zeroes of a function, or the x-intercepts, are just where the line intersects the x-axis. For this function, you can see the line intersects the x-axis at these 3 points:
x = -4
x = 0
x = 5
Those 3 are the zeroes of this function. 2 is not one of them, so that is your answer.
Write the statement "--5 times x subtracted from 22 is less than 9 more than
x" as a mathematical inequality. I dont know this sorry
Answer:
5x-22<9<x
Step-by-step explanation:
5 times x = 5x
subtract 22 = 5x-22
less then = 5x-22<
9 more then x = 5x-22<9<x
Help is appreciated! Ty
Answer:
Step-by-step explanation:
Rewrite 1/3 book for 5/6 an hour as a unit rate.
A.2/5 book/an hour
B. 1/5 book/hour
C. 2 1/2 books/hour
D. 5 books/hour
Answer:
A
Step-by-step explanation:
What is the solution of (sqrt of)1-3x = x+3?
Answer:
x=-1/2
Step-by-step explanation:
if you need a explanation tell me but I’m in Math class rn
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
this is my attachment answer hope it's helpful to you
I need the answer to this. Thank You so much!!!
Answer:
o=6
1=18
2=54
3=162
Step-by-step explanation:
[tex]f(x) = 6(3)^{x} [/tex]
[tex]f(x)=6(3)^{0}=6 \\ f(x)=6(3)^{1}= 18 \\ f(x)=6(3)^{2}=54 \\ f(x)= 6(3)^{3}=162[/tex]
helppppppppppp i hv 5 mins
Answer: 342.5 miles
Step-by-step explanation:
Distance = Speed x Time
Speed(mph) Time(hr) Distance(miles)
55 x 3.5 = 192.5
60 x 2.4 = 150
Total Distance (miles) = 342.5 miles
PLEASE HELP
What is required in order to win a game of pickleball?
Group of answer choices
The winning team must serve.
The winning team must smash the ball.
The winning team must return service.
Answer:
I think A
Step-by-step explanation:
Unlike tennis or badminton, only the serving team can win a point.
Answer:
I believe its c but I barely know how to play that
Jalil mixed
3/
8 cup of sugar with
1
of water. How many more cups of water
than sugar did he use in his mixture?
Answer:
Jalil used 5/8 more cups of water than sugar
Step-by-step explanation:
Determine the value Y, if X is -2
Y=X-12