Answer:
3x^2 +2x9x^2 +6x+1Step-by-step explanation:
[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]
2.
[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]
what’s the sequence for “S,M,T,W.... What’s the next three terms ?
Answer:
R F S
Step-by-step explanation:
These are the days of the week.
Sunday, Monday, Tuesday, Wednesday, Thursday, Saturday, Sunday
Suppose 24% of students chose to study French their sophomore year, and that meant that there were 54 such students. How many students chose not to take French their sophomore year?
171
24 % = 54
1 % = 2.25
100 % = 171
My snack time calls for 1/2 cup raisins,2/3 cup of nuts and 1/4 cup of chocolate chips what is the combined total
Answer:
[tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex] (they're the same)
Step-by-step explanation:
1/2 + 2/3 + 1/4 = 12/24 + 16/24 + 6/2412/24 + 16/24 + 6/24 = 34/2434/24 = 17/12 = 1 5/12I hope this helps!
tell me ratios simplest forms
One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per
month but does not have a joining fee. How many months would it take for each gym to
cost the same amount of money?
Answer:
It would take 1 month for the first gym (costs $24 per month) and 4 month for the second gym (costs $39 per month)
Step-by-step explanation:
If you add up $24 and $135 it equals 159. So for the first month you have to pay (in total) $159 dollars. So, if you want to get the same amount of money you have to multiply 39. To find out what number you need to multiply 39 with 4. Then you would have to add $3.
Martha earns $16.50 an hour for a regular 40 hour week. He overtime payo is 1.5 times her regular hourly rate. This past week Martha earned $948.75 in total pay. Approximately, how many hours of overtime did she work this past week? (Round you answer to the nearest hour. Just put the number, do not include the word hour) *
Answer:
12
Step-by-step explanation:
Regular work week is 40 hours; at $16.50 per hour, that comes to $660.
Subtracting $660 from the toal $948.75 yields $288.75, which represents her pay at the overtime rate of (1.5)($16.50/hr), or $24.75/hour
Dividing $288.75 by this overtime rate of $24.75/hr yields 11.666 ...
We conclude that she worked approximately 12 hours overtime to end up
with $948.75 total pay.
1. Explain in words how you would solve the following equation: 4x + 1 = 6x - 11
Answer:
your is x=6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Which equation gives the line shown on the graph?
y
y=2.0 +4
10
9
y= {x + 4
8
7
6
y=-3x – 4
5
y = 23 – 4
3
2.
1
0
0
1 2
3 4 5 6 7 8 9 10
need help
Answer:
y=(1/2)x+4
(0,4) and (10,9) both satisfy this equation.
Hope it helps:-)
(01.01 MC)
The mean number of hours spent per day on the computer, according to a national
survey, is six hours, with a standard deviation of 2.5 hours. If each time was increased
by 1.5 hours, what would be the new mean and standard deviation? (2 points)
O 6,2.5
0 7.5,4
O 6,4
0 7.5, 2.5
Answer:
(7.5, 2.5)
Step-by-step explanation:
Given the following information ;
Mean hours (x) = 6
Standard deviation = 2.5 hours
If each time is increased by 1.5 hours, then the newly calculated mean will also increase by the same amount of time, that is 1.5 hours. This is because, since each individual item used in calculating the initial mean increased by the same amount, the average increase will be that same value (1.5 hours). Hence, the mean will increase by the same amount.
New mean = 6 hours + 1.5 hours = 7.5 hours
For the standard deviation ; which measures the variation of values from the mean, in this scenario, the standard deviation remains the same because the each value and the mean changed by equal amount, hence the bet change remains the same and so does the standard deviation.
f(x) = (x - 3)² +5 transformations?
Step-by-step explanation:
Since (a - b)² = a² - 2ab + b²
f(x) = (x² - 6x + 9) + 5
= x² - 6x + 14
(Please help ASAP!!)
Twice a number increased by 5 is equal to 16 less than 9 times the number. Find the number.
Solve for x. Round to the nearest tenth.
Answer:
32
Step-by-step explanation:
just took it
7(5)^2 - 17
How do you solve
Answer:
7•(5•5) -17 = 7•25-17= 175-17= 158
Plz help!! Quesion above
HELPPPP! PLEASE EXPLAIN!!!
What is 14 2/3 as an improper fraction?
Answer:
44
__
3
(another way to put it)
44/3
Answer:
44 / 3
Step-by-step explanation:
Pretty easy actually.
Solve for b b+4.22=7.08
Steps to solve:
b + 4.22 = 7.08
~Subtract 4.22 to both sides
b = 2.86
Best of Luck!
Archie is stranded in a war zone in the land of the Xhosas. His only chance of survival is to reach Sudland, which lies 100 miles away. There are just two routes to Sudland; one is through a desert, and the other is a long and perilous trek through the mountains. Both routes are terribly dangerous. In the past, 26% of all who tried to reach Sudland failed. Of all attempts to reach Sudland, 1 out of every 40 were by the desert route. Although it is the longer route, the mountains seem to provide more success: 75% of those who attempted to reach Sudland through the mountains were successful. To save time, Archie intends to go via the desert. What are his chances of making it through to Sudland
Answer:
The chances of success for Archie is [tex]P(S|D) = 35\%[/tex]
Step-by-step explanation:
From the question we are told that
The distance of Sudland from Xhosas is d = 100 miles
The probability of failure is [tex]P(F) = 0.26[/tex]
The probability of choosing the desert route is [tex]P(D) = \frac{1}{40} = 0.025[/tex]
The probability of reaching Sudland through the mountain is [tex]P(S|M) =0.75[/tex]
Generally the probability of choosing the mountains route is
[tex]P(M) = 1 - P(D)[/tex]
[tex]P(M) = 1 - 0.025[/tex]
[tex]P(M) = 0.975[/tex]
Generally the probability of success is mathematically represented as
[tex]P(S) = 1- P(F)[/tex]
[tex]P(S) = 1- 0.26[/tex]
[tex]P(S) = 0.74[/tex]
Generally the probability of success in reaching Sudland is also mathematically represented as
[tex]P(S) = P(S|M) * P(M) + P(S|D) * P(D)[/tex]
=> [tex]P(S|D) = \frac{P(S) - P(S|M) * P(M)}{P(D)}[/tex]
substituting values
=> [tex]P(S|D) = \frac{0.74 - 0.75 * 0.975}{0.025}[/tex]
=> [tex]P(S|D) = 0.35 [/tex]
=> [tex]P(S|D) = 35\%[/tex]
3. 28/ч - 2x3 =
Answer
Answer:
28/4 - 2x^3 = 7- 2x^3
Hope this helps!
Answer:
1
Step-by-step explanation:
This is the answer because:
You can use PEMDAS or GEMS to help you remember the order of operations.
PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction
GEMS: Grouping (Parenthesis), Exponents, Multiplication and Division (whichever comes first from left to right), Addition and Subtraction (whichever comes first from left to right).
1) We have to use the order of operations in order to solve this.
2) First, we have to divide because it's the first thing there is, 28/4 = 7
3) Next, we have to multiply since we cannot subtract before multiplying because you have to follow the rules of Order of Operations. 2 x 3 = 6
4) Finally, 7 - 6 = 1
Hope this helps!
HURRY DUE IN 20 MINUTES Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
Answer:
1 = A
2= D
3= B
4= C
Add like terms 5x + 2y + 2x - 4y - 3x
Answer:
4x-2y
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{4x - 2y}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x + 2y + 2x - 4y - 3x}[/tex]
Like terms are those which have the same base.
Combine the like terms and simplify
[tex] \dashrightarrow{ \sf{5x + 2x - 3x + 2y - 4y}}[/tex]
[tex] \dashrightarrow{ \sf{4x - 2y}}[/tex]
Hope I helped!
Best regards! :D
1-6(-X + 8) = -6x + 12
How many solutions are their
Answer:
no solution
Step-by-step explanation:
distribute -6 to get:
1-6x-48=-6x+12
the -6x on both sides cancels out giving you:
1-48=12
-47=12
since this isn't true there's no solution
tell me if you need more help
Answer:
There is one solution [tex]x = 4\frac{11}{12}[/tex]Step-by-step explanation:
[tex]1-6\left(-x+8\right)=-6x+12\\\\\mathrm{Expand\:}1-6\left(-x+8\right):\quad 6x-47\\\\6x-47=-6x+12\\\\Collect\:like\:terms\:and\:simplify\\\\6x +6x =12+47\\\\12x=59\\\\\mathrm{Divide\:both\:sides\:by\:}12\\\\\frac{12x}{12}=\frac{59}{12}\\\\Simplify\\\\x =\frac{59}{12}\\\\59\div 12 = 4\:reemainder\: 12\\\\= 4\frac{11}{12}[/tex]
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 32 minutes of calls is $21.16, and the remaining credit after 56 minutes of calls is $18.28. What is the remaining credit after 72 minutes of calls?
Answer:
The credit remaining on a phone card is 16.36 dollars
Step-by-step explanation:
A linear function is a polynomial function of the first degree of the form:
f (x) = m * x + b or y = m * x + b
where m is the slope of the linear function and b is the ordinate to the origin and it is the coefficient of the independent variable.
Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the slope of the linear function using the following formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
The coefficient b is calculated simply by replacing any of the points in the linear function, knowing m, and isolating the value.
In this case you want the linear function first:
credit remaining on a phone card= m* the calling time in minutes + b
Being the points (32; 21.16) and (56;18.28), then the slope m will be:
[tex]m=\frac{18.28-21.16}{56-32}[/tex]
m= -0.12
Then, replacing the point (32; 21.16) in
credit remaining on a phone card= -0.12* the calling time in minutes + b
you get:
21.16= -0.12*32 + b → 21.16= -3.84 + b → 21.16 + 3.84= b → 25=b
Then, replacing the point (56;18.28) in
credit remaining on a phone card= -0.12* the calling time in minutes + b
you get:
18.28= -0.12*56 + b → 18.28= -6.72 + b → 18.28 + 6.72= b → 25=b
You can see that the value of b is the same.
So the linear function is:
credit remaining on a phone card= -0.12* the calling time in minutes + 25
Being the call time in minutes equal to 72, you replace this value in the linear function:
credit remaining on a phone card= -0.12* 72+ 25
and you get:
credit remaining on a phone card= -8.64+ 25
credit remaining on a phone card= 16.36
The credit remaining on a phone card is 16.36 dollars
Problem:
Jett had a coupon to buy a computer for 40% off. He paid $210 for the computer. What was the original price?
Answer:
290
Step-by-step explanation:
Step-by-step explanation:
290 because of the percentages
Find an equation for the vertical line through the point (6, -6).
Answer:
x=6
Step-by-step explanation:
Since the line is vertical, it has no slope. This means that it will only go through points that have an x-coordinate of 6.
what would x equal if 1/2x-2=8
Answer:
hope this helped you
please mark as the brainliest (ㆁωㆁ)
can someone help me with this question
Answer:
Very Simple!
Step-by-step explanation:
Just use the distance formula!
(I'm in a math class right now, so I have to keep it brief)
Distance Formula, example:
[tex]AB=\sqrt{(x_{1}-x_{2})^{2}+(y_{1}-y_{2})^{2} }[/tex]
Just input the x and y values from A and B into here, and then that's it!
Hope this helps!
Happy Geometry!
solve for x 5(3a+2)=-65
Answer:
a = -5
Step-by-step explanation:
5(3a + 2) = -65 given
5*3a = 15 distributive property
5*2 = 10 distributive property
(15a + 10) = -65 the +10 goes to the other side as -10
15a = -75 divide 75/15
a = -5 result
Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage and your current bill cost. After using 3 GB of data, you owe $30. After 5 GB of data, you owe $40. What is the initial fee prior to the data usage charge?
Answer:
Hi there!
Your answer is: 5$ flat rate!
Step-by-step explanation:
3x + 5 = 30
5x +5 = 40
What is the value of x in the proportion below? 180 km/ 3 hours = 540 km/ x A. 6 B. 9 C. 12 D. 60
Answer: its 9
Step-by-step explanation: I took the test :)
