Answer:
4x²+6x-40
2(2x²+3x-20) factor out 2
2(2x²+8x-5x-20) split the three into a difference
2(2x(x+4)-5x-20) factor the 2 out of first pair of parenthesis
2(2x(x+4)-5(x+4)) factor the 5 out of second pair of parenthesis
2(x+4)(2x-5) factor
= 2(x+4)(2x-5)
Step-by-step explanation:
i hope this helps :)
A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?
Answer:
vertex = (5, - 1 )
Step-by-step explanation:
The focus and directrix are equidistant from the vertex
Since the equation of directrix is y = - 3 then the parabola is vertical,
The distance between the focus and directrix is
| 1 - (- 3) | = | 4 | = 2
Thus the vertex is 2 units below the focus
vertex = (5, 1 - 2 ) = (5, - 1 )
A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).
What is a Parabola?A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.
As per the given information in the question,
The focus and directrix are equidistant from the vertex then,
The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:
|1 - (-3)| = |4| = 2
The vertex is therefore 2 units below the focus.
vertex = (5, 1 - 2) = (5, -1)
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A sales team estimates that the number of new phones it will sell is a function of the price that it sets. It estimates that if it
sets the price at x dollars, it will sell f(x) = 4,920 - 6x phones. Therefore, the company's revenue is x . (4,920 - 6x). Find
the price x that will maximize the company's revenue.
Answer:
410
Step-by-step explanation:
Revenue is given by the relation :
x . (4,920 - 6x)
F(x) = 4920x - 6x²
To obtain the price, x which maximizes revenue, we take the first derivative of the revenue function and equate to 0
F'(x) = 0
F'(x) = 4920 - 12x
4920 - 12x = 0
-12x = - 4920
x = 4920 / 12
x = 410
Price will be 410
Favorite Color
red
32.86 %
blue
24.36 %
yellow
15 %
green
27.78 %
1728 students were asked to name their favorite color.
The results are shown in this circle graph.
How many students gave green as their favorite?
O A 94
OB. 480
O c. 28
D. 432
O E. 568
Answer:
I say 28
Step-by-step explanation:
because its 27 and it's almost to 28
Answer:
E. 568
Step-by-step explanation:
Need math help plzzzz neddd helps no links or imma report u 20 points plzz helps
Answer:
9
Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.
megan and chase were talking about the numbers 642 and 724. how does the value of the 4 in the first number compare to the 4 in the second number?
Answer:
4 in first number is in tenth place, so its 40
4 in second number is in unit place, its 4 only
what is 2/3d -8=1/2d
Answer:
d = 48
Step-by-step explanation:
convert the unit. of length
Answer:
50688
Step-by-step explanation:
thats all i got sorry if thats wrong but i hope this helps.
to classify
ons.
Classify the system of equations.
– x=2-y
1 + y = 3x + 0
Click on the correct answer.
in slope-
intersecting
y-intersects.
2
parallel
coincident
Answer:
The system of linear equations consist of parallel lines
Step-by-step explanation:
Here, we want to classify the system of linear equations
Firstly, let us write both in the standard forms
For the first;
y = 3x + 2
For the second;
y = 3x-1
The general form of a linear equation is;
y = mx + b
where m is the slope and b is the y-intercept
In both cases, m = 3 and that means the slope is the same
When two lines have same slope values, they are said to be parallel to each other
Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?
Answer:
Ms. Costco was offered the best price. It would be $15,900.57 after tax
Step-by-step explanation:
Ms. Costco: $18,795 x .90 =$16,915.50 x .94=$15,900.57
Ms. Deele: $17,050 x .94=$16,027
What is the length of the arc by a central angle of 85 degrees and a radius of 8cm to the nearest tenth of a cm?
Answer:
11.86824cm
Step-by-step explanation:
Answer:
11.86824cm
Step-by-step explanation:
help this is 15 points
Answer:
a) 25 ft
Step-by-step explanation:
30 divided by 6 equals 5, so multiply 5 with 5 and this gets 25 ft as the height of the flagpole
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
m-{=2+2m
СЛАМ
O 4
O 5
hey cutie pls help me thank you
Answer:
the answer is 2 I believe
The ratio of boys to girls in class is 4 : 5
What fraction of the class are boys
Answer:
The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.
AHH HELP RN PLEASE
IS THIS AN EXPONENTIAL FUNCTION??
Answer:
this =2.x3
Step-by-step explan
ation:
gramwergssa
which measure of center is needed in a box plot?
Answer:
Median
Step-by-step explanation
The median is the value in the center of the data
I REALLY NEED BRAINLIEST PLZ PLZ PLZ
Which expression is equivalent to 3^2 x 3^6
3^12
9^12
9^8
3^8
Answer:
[tex] {3}^{8} [/tex]
Step-by-step explanation:
1) Use product rule: x^a x^b = x^a+b.
[tex] {3}^{8} [/tex]
2) Simplify.
[tex]6561[/tex]
The answer is option D) 3⁸.
please help with this problem?!
Answer:
umm 33 i think
Step-by-step explanation:
Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 15 students from each grade is chosen.
Which sampling method best describes this scenario?
A) simple random sample
B) stratified random sample
C) systematic random sample
D) voluntary response sample
Answer:
B. Stratified random sample is the correct answer
The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.
In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.
This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.
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GUYSSS PLS HELP ME IM GONNA FAIL FRR
Answer:
x = 11
Step-by-step explanation:
180 - (82+50)
180 - 132
48
5x-7 = 48
5x = 55
x = 11
Consider the system of equations 3x + y = 10 and 6x – y = 17 . What is the value of the x-coordinate of its solution?
Answer:
x = 3
Step-by-step explanation:
These are simultaneous linear equations hence, we add them because +y and -y will cancel eachother.
3x + y = 10
6x - y = 17
____________
9x = 27
x = 27/9
x = 3
So, x- coordinate is 3
Answer: the answer should be x = 3
Step-by-step explanation:
Which of the following describes the data set 6,8,13,15,21,23,31
Answer:
what are the answer choices?
i'll edit my answer if you give them to me and i know the answer
Step-by-step explanation:
Answer:
It has two numbers per turn. The first is 2 and stays the same the whole time. The second number starts as 5, but every time it hits that number, it increases by 1.
Step-by-step:
As we already know, two starts off the turn, so every number on this turn will increase by 2 (6+2=8.)
Now, for this one, we have five, so for this turn we'll increase it by that much (8+5=13).
However, this number won't stay at 5. Instead, it will increase by 1 every time we hit this turn. Let's continue one:
Turn Two = 13+2=15
Turn 5+1 = 6 = 15+6=21
Turn Two = 21+2=23
Turn 6+1 = 7 = 23+7=31
And from there, the pattern would/will continue!
Hope this helped! <3
Source(s) used: N/A
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
can you copy and paste it on a question its kinda blurry for me
Step-by-step explanation:
Answer:
B / The Girl
Step-by-step explanation:
.
What is the volume of a square pyramid with a base length of 4 cm and a heighi of 9 cm?
Answer:
V = 48 cm³
Step-by-step explanation:
base = 4 x 4 = 16
V = 1/3(16)(9) = 48 cm³
find the volume of the prism. write your answer as a decimal.
Answer:
161.21
Step-by-step explanation:
Mr. Cantu opened an account with a deposit of $2,000.
The account earned annual simple interest.
He did not make any additional deposits or withdrawals.
At the end of 8 years, the balance of the account was $3,150.
What is the annual interest rate on this account?
A) 12.5%
B) 10%
C) 8.25%
D) D) 7.19%
Find the measure of X from the circle below:
Answer: it looks like about 180 degrees
Step-by-step explanation:
sorry if wrong can you help me if right please
Will mark brainlist if correct and it’s due soon so please help. Use the information provided to write the standard form equation of each circle
Answer:
D;
(x + 1/2)^2 + (y- √57)^2 = 81
Step-by-step explanation:
Mathematically, the general equation of a circle is given as;
(x-a)^2 + (y-b)^2 = r^2
where (a,b) represents the circle center and r represents the radius of the circle
Thus, we have this as follows;
(a,b) = (-1/2, √57) , r = 9
Substituting these values;
(x + 1/2)^2 + (y- √57)^2 = 9^2
(x + 1/2)^2 + (y- √57)^2 = 81
PLEASE HELP ILL GIVE BR4AINLIEST]
PLEASSE SHWO WORK I GOT IT WRONG
Answer:
16%
Step-by-step explanation:
Answer:
16% you just have to guess till you get it right
85*0.16=13.60
Step-by-step explanation:
question on the picture