Answer:
C. x = 1 3/4
Step-by-step explanation:
7/12 * 9 = 3x/9 * 9
63/12 = 3x -->
(63/12) / 3 = 3x / 3
63/36 = x
x = 7/4 --> 1 3/4
Help please help no links
Answer:
dum bot answerd
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial below?
Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
Answer:
C. (p - 6q)(p² + 6pq + 36q²)
Step-by-step explanation:
Equation at the end of step 1
[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]
Trying to factor as a Difference of Cubes:
Factoring: p^3 - 216q^3
Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]
[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]
[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]
[tex]a^{3} +0+0-b^{3} =[/tex]
[tex]a^{3} -b^{3}[/tex]
Check: 216 is the cube of 6
Check: p^3 is the cube of p^1
Check: q^3 is the cube of q^1
Factorization is:
[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]
Trying to factor a multi variable polynomial :
Factoring: p^2 + 6pq + 36q^2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final Result:
(p - 6q)(p² + 6pq + 36q²)
The equations of three lines are given below.
Line 1: 10x+6y=6
Line 2: 5y=3x + 6
Line 3: y= 3/5 x -4
Please help
Answer:
They are parallel because they hold a same gradient which is 3/5
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
Solve the quadratic equation.
x2 + 8x + 14 = 23
What is the smaller answer? x=
What is the larger answer? x=
Answer:
smaller answer x=-9
larger answer x=1
Step-by-step explanation:
[tex]x^{2}[/tex]+8x+14=23
[tex]x^{2}[/tex]+8x-9=0
D=64+36=100
[tex]x_{1} =\frac{-8+10}{2} =1[/tex]
[tex]x_{2} =\frac{-8-10}{2} =-9[/tex]
so, smaller answer x=-9
larger answer x=1
Answer:
x = - 9, x = 1
Step-by-step explanation:
Given
x² + 8x + 14 = 23 ( subtract 23 from both sides )
x² + 8x - 9 = 0 ← in standard form
(x + 9)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9 ← smaller answer
x - 1 = 0 ⇒ x = 1 ← larger answer
Carole worked her 40 regular hours last week plus 6 overtime hours at the time-and-a-half rate. Carole's regular hourly rate is $11.50. How much did Carole get paid last week?
Answer:
$563.50
Step-by-step explanation:
The computation of the amount that should be paid to Carole last week is shown below
Since she worked 40 regular hours and 6 overtime hours
For regular hours, the wage rate is $11.50
And, for overtime it would be
= $11.50 + $11.50 ÷ 2
= $11.50 + $5.75
= $17.25
So, the amount that should be paid is
= 40 × $11.50 + 6 × $17.25
= $460 + $103.50
= $563.50
Can someone help me with this question.
Answer: the bottom is A then C
Step-by-step explanation:
does anybody know the answer?
Answer:
y+25=120
y = 120-25
so y= 95
Answer:
y=95 is the required answer of your question
hope it is helpful to you
Por recomendación médica, Marta sale a caminar en la mañana y en la noche. En la mañana recorre 1,2 km cada hora, mientras que en la noche recorre 1,5 km cada hora. Si en la mañana dedica 1,3 horas a caminar y en la noche 1,6 horas, ¿Cuántos kilómetros camina de lunes a viernes?
Answer:
19.8km recorre Marta
Step-by-step explanation:
Las horas que recorre Marta en la mañana de cada día son:
1.3 horas * (1.2km / h) = 1.56km en la mañana
Y en la Noche de cada día:
1.6 horas * (1.5km / h) = 2.4km en la noche
Esto significa que cada día recorren:
1.56km + 2.4km = 3.96km diarios.
De lunes a viernes (5 días) Marta recorre:
3.96km * 5 =
19.8km recorre MartaANSWER THIS WITHOUT A LINK
SOOOOOOOONNNN
Answer: n=8
Step-by-step explanation: add 2 each time for y
Answer:
Answer = 22
Step-by-step explanation:
Linear Function is 2x-6, therefore f(14)=2*14-6=22
So 2*8-6=10
2*9-6=12
2*11-6=16
The point A (-3, 5) and the point B (0, -16) lie on the line L.
a) Find the slope
b) Find the y-intercept
c) Create the equation of the line L.
Can you help?
Step-by-step explanation:
Line is passing through the point A (-3, 5) and the point B (0, -16)
a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7
b) y - intercept (b) = - 16
c) Equation of line
y = mx + b
y = - 7x + (-16)
y = - 7x - 16
Dashboard
< Exit
Topics 1-8 Cumulative/Benchmark Assessment
00:00
Simplify the expression below:
3(7x) – 2(4 - x)
Answer:
23x - 8
Step-by-step explanation:
The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.
Here, we have,
given that,
the expression is:
3(7x) – 2(4 - x)
now we have to simplify this expression.
so, we have,
3(7x) – 2(4 - x)
= 21x - 8 + 2x
adding the like terms we get,
=> 23x - 8
Hence, The simplified form of the expression 3(7x) – 2(4 - x) is: 23x-8.
To learn more on Expression click:
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#SPJ2
Based on this picture and your knowledge of the Pythagorean Theorm, what is the ara of the empty square?
Answer:
100 units^2
Step-by-step explanation:
a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2 (area of square)
10=c (length of hypotenuse)
Therefore, the area of the square is 100 units^2
A toy rocket is launched from a platform 33 feet above the ground at a speed of 83 feet per second. The height
of the rocket in feet is given by the polynomial -167 + 83t + 33, where t is the time in seconds. How high will
the rocket be after 3 seconds?
HELP ASAP
Answer:
138 feet
Step-by-step explanation:
plug "3" into the expression by replacing "t" with "3"
-16t^2+83t+33
-16(3)^2+83(3)+33 (remember PEMDAS)
=-16(9)+249+33
=-144+282
=138 (I hope this helps)
Which of the following expressions represents the distance between −3.9 and −4.7?
Choice a: ∣−4.7−3.9∣
Choice b: ∣−3.9−4.7∣
Choice c: none of the above
NEED NOW
(Absolute value)
Answer: Choice C: none of the above
Step-by-step explanation:
The distance between two numbers would be |(number 1) - (number 2)|
--------------------------------------------------------------
Given
Number 1=-3.9
Number 2=-4.7
|(number 1) - (number 2)|
=|(-3.9) - (-4.7)|
=|-3.9+4.7|
The choice is not available.
Therefore, it is none of the above.
Hope this helps!! :)
Please let me know if you have any questions
What is the value of 4a ^2 when a = 3?
Answer:
36
Step-by-step explanation:
4×(3)²
4×9
36
PLEASE HELPPP ME!!!
complete the table.
do not put the link/site it gives me ur info and i can hack it lol.
Answer:
-28.5
-5
-11.8
-4.5
Step-by-step explanation:
From that data provided for Monday
Temperature at noon = temperature at midnight + the change in temperature
-32 + 20 = -12
Temperature on Tuesday's noon = -17.5 + (-11) = -28.5
Temperature on Friday's noon = -21.8 + 17.3 = -4.5
From that data provided for Monday
Temperature at midnight = temperature at noon - change in temperature
-12 - 20 = -32
Temperature on Wednesday's midnight = 10.5 - 15.5 = -5
From that data provided for Monday,
change in temperature = temperature at noon - temperature at midnight
-32 - (-12) = 20
Change in temperature on Thursday = -24 - (-12.2) = -11.8
Carlos has equal numbers of classical songs, country
songs, and pop songs loaded on his personal music player.
He has it set to play songs on a random shuffle. Suppose
Carlos is designing a simulation that could be used to
estimate the probability that the next three songs to play
are all country songs.
Which simulation design could Carlos use to estimate the probability?
Answer:
Step-by-step explanation:
A
The simulation design could Carlos use to estimate the probability is option D.
Option D is the correct answer.
We have,
In this simulation design:
Carlos assigns specific numbers on the random digits from 1 to 6 to represent different types of songs.
He assigns the numbers 1, 2, and 3 to represent classical songs.
The numbers 4, 5, and 6 represent country songs.
The numbers 7, 8, 9, and 0 represent pop songs.
By generating random digits and observing their values,
Carlos can simulate the random shuffle of his music player.
He would then track and count instances where three consecutive numbers are all in the range of 4, 5, and 6.
These instances would correspond to the occurrence of three consecutive country songs.
Thus,
By running this simulation for a sufficient number of trials, Carlos can estimate the probability of the next three songs being all country songs based on the relative frequency of such occurrences.
Learn more about simulations here:
https://brainly.com/question/1667033
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TRUE or FALSE? The sum \sqrt{16}+\sqrt{9} is a rational number.
. If x = -4 and y = 2x – 1, then y equals what number?
Answer: y = -8x - 1
Step-by-step explanation: 2 x (-4) is -8. Therefore you get y = -8x - 1
(please mark as brainliest) :D
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{If x = -4 then SUBSTITUTE it in the equation, where x is at}[/tex]
[tex]\large\textsf{y = 2(-4) - 1}[/tex]
[tex]\large\textsf{2(-4) = \bf -8}[/tex]
[tex]\large\textsf{-8 - 1}[/tex]
[tex]\large\textsf{= \bf -9}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \huge \bf y = -9}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Jackson can do 15 chin-ups in 60 seconds. At this rate, how many chin-ups can he do in 108 seconds?
Answer:
1620 I think. I'm not rlly sure but this seems,like the correct answer from my calculations.
Max is going to go to a four-year college where the annual tuition is $14,835. He has money in savings and he earned a work-study as shown below. Max is going to pay the rest with money from a student loan. How much does he have to borrow?
Find the slope of the line through the points (4,5) and (-7,6)
Answer:
m = -1/11
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)
Solve the following problems using ELIMINATION.
(pls explain steps also! Giving Brainliest for correct answer and if you “actually” showed work and tried :))
8x - 5y =-18
2x + 5y = 58
Answer:
(4,10)
Step-by-step explanation:
8x - 5y = -18
+ 2x + 5y = 58
10x = 40
Dive both sides by 10.
x = 4
2x + 5y = 58
2(4) + 5y = 58
8 + 5y = 58
5y = 50
y = 10
!!!!!Based on the data in the table above, how is the age distribution of Texas' population projected
to change in the future?!!!!!
Answer:
Step-by-step explanation:
6) A garden is a rectangle 6 yards by 8 yards. If you walk diagonally across the garden
instead of along two adjacent sides, how many yards do you save? (5 points)
Answer:
Step-by-step explanation:
10 yards by 15 yards
Step-by-step explanation:
Let the dimensions of each plot x yards by y yards.
If three plots are placed as the y-yards side are common to them then,
The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)
⇒ 3x + 2y = 60 ........... (2)
Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)
Now, solving equations (2) and (4) we get,
⇒ 225 + y² = 30y
⇒ y² - 30y + 225 = 0
⇒ (y - 15)² = 0
⇒ y = 15 yards.
Hence, from equation (4) we get,
x = 150/15 = 10 yards.
Therefore, the dimensions of each plot are 10 yards by 15 yards.
Ja’ron collected data about the number of students participating in different types of after-school programs. The chart displays his findings.
Program
Students Participating
sports
23
art
25
academic
21
religious
18
family
32
Which type of graph would best display the data?
bar graph
line graph
line plot
stem and leaf plot
Answer:
A. Bar graph
Step-by-step explanation:
Since they are all different activities and don't relate you can put different bars to put the different activities and use the left to indicate the amount of students and grow the bar according to the amount of students in that activity; each bar stands for a different activity, the y-intercept is for the amount of students, the bar will grow 'up' according to the amount of students.
Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?
A) $11,390
B) $112,250
C) $123,640
D) 227,800
i need help on this pls
Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
Paisley has $540 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $446.60.
• She buys 3 bicycle reflectors for $4.09 each and a pair of bike gloves for $35.82.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $72.82 each.
Which inequality can be used to determine x, the maximum number of outfits Paisley
can purchase while staying within her budget?
O 540 < 494.69% + 72.82
72.82x + 494.69 > 540
Submit Answer
72.82x + 494.69 < 540
540 > 494.69x + 72.82
The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.
The first step is to determine the total cost of the items bought.
Cost of the bicycle = $446.60.
Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27
Cost of the bike gloves = $35.82
Total cost = $494.69
The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31
The amount of money left is not sufficient to buy the new biking outfits.
To learn more about inequality, please check: https://brainly.com/question/5031619